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Auction Market Theory
Donald L. Jones
CISCO Futures 2002 ©




Part 1. Auction Market Theory
Part 2. Reward, Risk and Trading Models
Part 3. Standards: Potential and Opportunity

References

Appendix 1. Comparison of CAPM and AMT
Appendix 2. Technical Analysis Example
Appendix 3. Review of the Normal Distribution
Appendix 4. Fundamental and Technical Analysis
Appendix 5. Day Trading with Market Profile: Rules


Acknowledgements

The field of Auction Markets was developed quite recently in the history of financial economics. J. Peter Steidlmayer laid the groundwork, changing the focus from price to value. We have borrowed freely from his works. Jim Dalton, one of the first to recognize the value of Steidlmayer's ideas, contributed heavily with Mind Over Markets (co-authored by Eric Jones and Rob Dalton). Eric Jones edited The Profile Report, an important source of research on Market Profile in the early days. Professor Tom Drinka, at Western Illinois University, was also responsible for research and for bringing Auction Market techniques into the classroom. My thanks go to Tom for reviewing this work as well as an earlier book, Value Based Power Trading.

Closer to home, Christopher Young, in my organization, developed a computer analysis of "day type", for types of Market Profiles. Day types are 'normal', 'trend', 'non-trend, etc. The idea was to catalog a time series of day types and chart the normal growth patterns of markets. When the data refused to fit a pattern I realized that markets are not day-to-day serially correlated. Inter-day volatility masks the trend even in relatively strong trends. Lack of serial correlation implies that one could not blindly use yesterday's data to trade today. A longer timeframe is needed to find the 'market condition', i.e. whether it is balancing, trending or in transition. That was the breakthrough that led to Auction Market Theory.

Donald L. Jones Aurora, Colorado March 12, 2002



Auction Market Theory




                 Auction Market Theory develops and clarifies the structure
                 of short timeframe non-equilibrium auction markets.  The 
                 primary variable is value, the region of price accepted by 
                 the market. Based on market structure, the theory generates 
                 trading strategy.  A side result of the theory is the 
                 capability of calculating reward to risk ratios for individual
                 markets.  In turn, opportunity is categorized and standards 
                 in the nature of indexes are set for the trading function.



Part 1. Auction Market Theory

Contents

Auction Markets
Very Long TimeFrame/Very Short TimeFrame Markets
Auction Market Theory; 3 Parts

    Part 1. Development of AMT: The Theory
    Part 2. Reward, Risk and Trading Models
    Part 3. Standards: Potential and Opportunity
CAPM is Not a Guide for AMT
Auction Market Structure: Beginnings of AMT
Steidlmayer Original Decisions
Market Observables: Exchanges

    A List of Market Observables
    Information Derived from the Observables

Structure of a Trading Day, the Market Profile
Market Profile Recap
Longer Term Considerations, the Overlay Demand Curve
Market Profile, Multiple Days: Overlay Demand Curve
The Overlay Demand Curve and Market Condition
Auction Market Theory Development: The Elements
Elements of Auction Markets

    General
    Market Profile (MP)
    Overlay Demand Curve (ODC)
The Structure is Complete
Volatility
An Application: Day Trading T-bonds on March 23, 2001

    EOD Analysis, Step 1a, the Overlay
    EOD Analysis, Step 1b, the Market Profile
    Scenario for T-bonds on March 22, after the Close
    Additional Evidence
    Strategy for March 23
Auction Markets
Most of the world's markets are auction based, e.g. futures, options, debt and equities, derivatives, etc. The Auction market dynamic is created by the participants. Daily price range is determined through negotiation between the traders. As price is negotiated, some prices are accepted by the marketplace and create heavy volume. Rejected prices, the highs and lows, and sometimes opens and closes, are seldom traded and generate little volume. By trading many times throughout a day, accepted prices identify value.

Despite the ubiquity of auction markets, there is no general auction market theory. Capital Market Theory (CAPM) (ref. 1 and Appendix 1) is a special case for long term, equilibrium markets. CAPM is at base an investment theory. It assumes a logical investor with a particular level of risk tolerance. A portfolio approach provides diversification. What is not provided is guidance for the trading upon entering, changing and exiting the portfolio. The trading part of the investment process is ignored.

Observation and experience shows that the trading part of portfolio management can be critical to overall performance. For convenience, assume a one-hundred percent rollover of a portfolio and a trading gain of two percent of the average value on the net rollover. With an average portfolio gain of eight percent, trading gain represents a twenty-five percent enhancement of return. A two percent trading range is not unusual in the S&P 500 index, while the nasdaq index range is much larger. CAPM makes the point that index funds are superior because of the low rollover and hence low costs. But even index funds have some rollover that might be traded rather than just rolled. Every trade has a risk, expenses and offers an opportunity. There are good and bad times to buy and sell. The trading function can conceivably be a profit center instead of merely a cost. Trading risk is not treated in the risk tolerance measure that initially sets the portfolio. Identifying and managing the trading timeframe is the substance of Auction Market Theory (AMT). Futures approach the ideal in auction markets. Auction market analysis developed on a futures exchange. Most explanations in the text will use futures because of convenience.

J. P. Steidlmayer (ref. 2), a member of the Chicago Board of Trade, first described and interpreted the day structure of auction markets. An extension of the day market concept was added by Jones (ref. 4) to cover market condition, the environment in which day trading takes place.

Sharpe, in the foreword to the reprinted reference 1, makes the point that CAPM uses little empirical material (mercifully, he says, because of the short half-life of empirical studies). Most of science starts empirically; collecting and sorting data to derive basic principles. AMT is based on empirical studies, in part because the underlying mathematical description would be a non-linear, non-homogenous differential equation with non-constant coefficients, and basically insoluble. Many fields of science suffer the same defect, but airplanes fly even though their wings are not infinitely long. Likewise, auction markets can be understood phenomenologically through empirical evidence. An assumption is that the probability of making better trading decisions improves with market understanding. This is a general principle running through most human endeavors. Successful decisions in most arenas come from data coupled with a good understanding of the business at hand. Thus, auction market theory is normative in effect, providing information for decision making.

Very Long Timeframe/Very Short Timeframe Auctions
An equity market can be idealized as a long timeframe, equilibrium market, as in Capital Market Theory. Such an equilibrium market is an investment medium. At the same time, equities trade every day in the short timeframe non-equilibrium limit. Other markets such as commodity futures spend virtually their entire lives in a non-equilibrium situation. Non-equilibrium markets can thus be characterized as trading media. Auction markets as a whole are a continuum, stretching from the shortest, non-equilibrim limit to the long timeframe equilibrium limit. However, the non-equilibrium short timeframe limit theory developed here will be termed Auction Market Theory (AMT) as contrasted with the long limit CAPM.

Auction Market Theory (AMT); 3 Parts, a Brief Review

  Part 1. Development of AMT: The Theory
The primary aim of Auction Market Theory is to identify the characteristics of short timeframe non-eqilibrium auction markets and to present a coherent description of their behavior. Achieving this goal will place market analysis on a quasi-quantitative basis, removing the mystique and misinformation surrounding market activity. An allied aim is to develop a procedure to utilize current market knowledge as a guide to future (trading) action. The approach is empirical. Observables are identified, cataloged and interpreted to provide a structurally sound market description that applies to real world situations. AMT analyses will identify the salient elements of a market; including value, market condition, risk, volatility and other items in a market's structure. These market elements will, in turn, be used to generate a strategy for trading.

AMT (theory) develops the principles governing short timeframe market phenomena. Often, prediction of future events qualifies a theory. Financial markets are replete with market predictors and market predictions. It is an axiom of Auction Market Theory that future prices are not predictable. Current market condition is found from AMT principles. Market condition is the state of the market, e.g. local equilibrium or balance, local trend or transitions between the two. The state or condition is time dependent in that one timeframe may be in one state (say a market is balanced in a twelve day view, while trending by a four day measure). AMT analysis shows that changes to the current condition can be the basis for market decisions. A strategy developed subject to the event of change from one market condition to another is non-predictive (normative). While predictions of future price are not made, logical conclusions from market behavior are. Incidentally, CAPM operates much the same way, picking portfolio candidates on the basis of past behavior.

   Part 2. Calculation of Reward and Risk
The aim of trading is the reward, the gain from a trade. Reward (plus or minus) results from the trading process. Auction Market Theory does not specify trading procedures; rather trading strategies. It will be shown that maximum potential reward in a day trade depends only on the entry point. In certain situations (e.g. balanced markets) entry points are readily identifiable. Reward maxima for a trading event can then be found.

Reward alone, while significant, is better understood in terms of it's relation to the risk involved. The rarely known reward-to-risk ratio is important to appropriate money and risk management. A risk estimate can be found from a simplified standard trading model that uses entry prices and risk from an AMT analysis process. The maximum time frame of a trade is from trade entry to market close. The maximum possible reward is the largest price excursion from entry to close. This is defined as the Potential of the trade. Potential for a trade in such a case, is defined by one variable, the entry point. Potential in day trading plays somewhat the same role as the index in CAPM, i.e. as a marker for success. In AMT, Potential measures opportunity. These points will be developed in Part 2 below.

  Part 3. Standards: Potential and Opportunity
Standards are desirable but rare as a basis for evaluating models and markets. If an investor's stock portfolio value declines while the market index is declining more, the investment is described in positive terms (it beat the market). In non-equilibrium trading there are no indexes. A loss is absolute, a gain is absolute. But, losses can carry different connotations. A loss in a market offering little opportunity is quite different from a loss in one with much opportunity. Potential is the arbiter, it sets the standard. If one trades a market that consistently offers low Potential, one should change markets. If one does poorly in markets that consistently offer substantial opportunity, one must examine one's trading methodology. Part 3, below, will use auction market principles 'best trading' risk and reward to risk ratios to catalog markets.

CAPM is Not a Guide for AMT
Although the focus of AMT is on short timeframe trading markets, the long-term (CAPM) is important psychologically. The public tends to think of short timeframe trading in terms of the more familiar longer term investing. The two are quite different. Speculation, betting on risks and opportunities, in the day timeframe has a totally different risk and reward structure from investing. The long term upward trend of equities rewards a buy and hold strategy. The same strategy in speculation is fatal. A trader/investor who is not aware of the difference is doomed. A comparison of CAPM and AMT is in Appendix 1.

Auction Market Structure: Beginnings of AMT
Short timeframe auction markets, although not an an equilibrium system, do spend time in quasi-equilibrium, balanced trading. As a non-equilibrium system, AMT is difficult to describe in a closed mathematical formulation. Much of the analysis of near term markets is necessarily empirical. A benefit is that AMT, in practice, is not obscured by mathematical formalism. The average trader can readily understand and follow the principles. That is not true of CAPM with it's efficient frontier.

AMT is applicable to trading strategy in a wide variety of instruments; securities, options, interest rates, futures contracts and other double ended markets . Regardless of the market, the timeframe for a given trade is specific to that trade. It ranges from seconds to minutes to many days, determined by the market itself, in it's relationship to value and value change. A certain percentage of losses are inevitable in a trading environment. Leverage may exist, as in futures or margin trading in equities or more generally in hedge funds. Consequently, unlike a long term investor, a trader should risk much less than 100% of an account's capital on each trade. Performance is measured by appreciation alone, but it can be gauged against an ideal, the Potential.

Beginnings of Auction Market Analysis: Steidlmayer Original Decisions
J.P. Steidlmayer started as a floor trader at the Chicago Board of Trade in 1963. Over time he developed the concepts from which evolved the Market Profile volume charts and an auction market description as well (ref. 2). The seven market concepts below are a brief overview of his work.
1) All the publications he searched attempted to predict the market. They failed. He surmised that prediction of the future should not be a goal.
2) Graham and Dodd's book Security Analysis showed that value could be found in the present tense. He projected this result to his trading.
3) He posited a basic unit of market activity, now known as the TPO (price and time location of trading activity). TPO's are measured in half-hour segments of the trading day. Steidlmayer selected the half-hour time frame because that seemed to be the time it took for new information to get represented into price change.
4) He found that grouping a day's set of basic units forms a bell shaped distribution of price - volume over a day, which he named a Market Profile (tm). The bell shape called to mind the 'normal distribution' so widely applied elsewhere to bring "order out of chaos".
5) Price-over-time measures value. He saw that relative value at a price is equal to the sum of the basic units (TPO's) at that price.
6) Traders/investors seek a fair price. Markets auction 'too high' and 'too low' in the search for fair prices. Markets accept fair prices with enhanced volume and reject unfair prices by way of low volume. The price range is reached by negotiation among the traders.
7) His experience showed that there are two sorts of market, '(balanced) day trading' where value is static and the market moves around a static fair price; and 'longer term' where value is moving (sometimes called 'trend days').

Market Observables: Exchanges
Organized financial auction markets have been present in the United States since 1792. As markets expanded, rules were implemented and the exchange structure, with memberships (seats), took form. Exchanges formed the arena for the growth of the well-defined auction markets that exist today. Steidlmayer's pioneering work occurred within the exchange structure. In developing Auction Market Theory, a somewhat different path is taken from the Steidlmayer work. Here the market observables, self evident facts clear to all, forms the starting point. Nevertheless, reference 2 forms the base for much of the development that follows.

   Significant Market Observables
1) Possibly the first rules in 1792 set the meeting place, time and trading hours. These rules are, in the case of electronic markets, now being stretched to include non-floor, non-exchange hours. Futures exchanges set margins based on volatility (risk).
2) Auction prices are arrived at by negotiation.
3) Some prices are accepted by the market and show considerable trading activity during the market day.
4) Other prices, often the highs and lows, are quickly rejected, trading little.
5) A market may be accumulating (balancing) or distributing (moving). That is, markets spend time in balance and sometimes trend.
6) Some participants seek quick gains, e.g. day traders, while others trade a longer term strategies (position/swing traders).
7) Some days many traders are active in a market, other days few trade. Some days a market will have high volume, some days not.
8) Some markets usually have wide daily trading ranges, others are noted for consistently small ranges.
9) The heaviest trading often occurs in the opening and closing periods.
10) Markets display little day to day serial correlation.
11) Markets cycle from balance to trend and back to balance.
12) An auction timeframe can be long or short (e.g. the market has been in balance for 15 days, or the market broke out of balance and has been trending for 3 hours).
13) Members on the floor have different functions (scalpers, commercials, specialists, trading for the public, etc.).
14) Electronic platform markets clear, or complete trades faster than the floor.

   Information Derived from the Observables
Market observables deal primarily with prices and trading (volume). Auction Market Theory owes it's utility to value. In this section, the first steps are taken to convert the one-dimensional price to the two-dimensional value description of auction markets. An illustration of price analysis versus value analysis is in Appendix 2.
First, the observables are fleshed out.

      1) Trading hours.
Non-electronic markets open and close at set times. Trading is tied to the market timeframe. Orders accumulate between the close and the next day open, creating an order backlog. At the close, traders who do not wish to hold overnight must exit their positions. In this simple way, market hours exert a level of control over trading structure. One of the ramifications of trading hours is a specialized behavior pattern in the first hour of trading. This timeframe is called the initial balance because floor members seek to define the trading range for the day from the order backlog. How well they accomplish a stable balance affects the subsequent trading for the day. At the market close, those who must trade tend to create an extended closing range. At the very least, the closing range is deleterious to the public trader since their 'market on close' orders most often get the worst side of the range.

Electronic markets tend to show much the same structure as the floor because arbitrage exists and they often take their cues from the floor. As electronic trading matures, those markets will likely lose a large part of their dependence on the exchange floor.

Exchanges, or clearing authorities for some electronic exchanges, interact with the public principally in setting margins. Margin is 'earnest money' guaranteeing the broker that losses are covered. A trader's interest in margins in part is the amount of money that must be deposited in order to trade. Far more important is how the exchanges set margins. With a lot of experience backing them up, the exchange margin is set to mirror the risk. Trading models inevitably have a risk function of some sort. However, anytime exchange margin is changed, there is a change in the risk being taken. Since exchange margins are not necessarily what a broker charges, (brokers often charge more), keeping track of exchange margins takes some effort.

      2) Prices are Set by Negotiation
Each trade has a buyer and a seller. In figure IDO 1, price auctioned as high as 6054 until no one would bid higher. Likewise, price auctioned down to 6036, where no one would take less. There were many buyers and sellers at the middle prices. Each completed trade was negotiated between a buyer and a seller.


CONTRACT: DEC 01 S FRANC (CME-IMM)   TRADING DATE:  10 26 01
 
TRADING BEGINS 0720 (CST)  CLOSES 1400  CHICAGO TIME

      PRICE   VOLUME   Volume Plot  x = 10 

       6054       10   x
       6052       20   xx
       6051       28   xxx
       6050       84   xxxxxxxx
       6049      136   xxxxxxxxxxxxxx
       6048      182   xxxxxxxxxxxxxxxxxx
       6047      464   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
       6046      210   xxxxxxxxxxxxxxxxxxxxx
       6045      536   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
       6044      186   xxxxxxxxxxxxxxxxxxx
       6043      254   xxxxxxxxxxxxxxxxxxxxxxxxx
       6042      166   xxxxxxxxxxxxxxxxx
       6041      122   xxxxxxxxxxxx
       6040       74   xxxxxxx
       6039       60   xxxxxx
       6038       24   xx
       6037        6   x
       6036       12   x

Figure IDO 1.  Swiss franc volume by price.  Oct. 26, 2001.  Minimal trading 
occurs at the top and bottom prices.  The three top and three bottom prices have
only 3 percent of the day's volume.  The middle six (6043 - 6048) have
70 percent of the trading.  The disproportionate volumes at 6045 and 6047 are
at least partly artifacts of the way orders are placed (e.g. five is a popular 
trading point, diminishing the six next to it).  Volume data is from the
Chicago Mercantile Exchange Liquidity Data, with volume in 'sides' (two
sides equals one round turn).


With no idea of when the trading at a particular price took place one would be hard pressed to tell from figure IDO 1 just when a price may have traded. That is not much of a problem in a congesting market like this one, since there are many opportunities at all the prices in the value area (central 70 percent of trading, 6043 - 6048). Recasting the price - volume plot into a Market Profile and a half-hour bar chart adds a substantial level of information as in figures IDO 4 and IDO 5. The half-hour bars are identified by letters; y, z, A, B,..., where each letter signifies a time span. The y's are for the period 07:00 to 07:30, z is for 07:30 to 08:00, A is for 08:00 to 08:30 and so on. The letters are called TPO's or time-price-opportunities. Collapsing the bars to the price axis creates the Market Profile. TPO counts are commonly used in place of actual volume since they embody both price and time.

      3) Accepted Prices
Referring to figure IDO 1 again, the price range 6039 to 6050 is heavily traded. A trader entering the day wishing to sell or buy at 6044 would have many opportunities to do so. A wide range of prices were approved for trading by the participants. These constitute the accepted prices for this day. The graphic is of an accumulating market, one which is cohesive, compact and in which there is good agreement on the location of acceptable price (value). An accumulating market has a single price - volume distribution roughly in the shape of a bell curve.

      4) Rejected Prices
Prices not accepted by the market generate very light volume. Such prices rarely trade and the trader who wants to do business there has little opportunity to do so. The trader who wished to buy at 6035 had no opportunity at all. In figure IDO 1 the upper three prices and the lower three prices are one-third of the day's trading range but only 3 percent of the volume.

      5) Accumulation and Distribution
The accumulating market of figure IDO 1 has given way to a distributing, or moving market the next day. Figure IDO 2 appears to be in two parts; the range from 6106 to 6122 and the range 6122 to 6143. The close on 10/26 at 6048 is far below today's close of 6134. That 86 point difference is $1075 per contract. Without outside evidence we would guess that price continued upward throughout the day, but one cannot be sure without further investigation. The Market Profile in figure IDO 6 will solve the problem.

CONTRACT: DEC 01 S FRANC (CME-IMM)     TRADING DATE:  10 29 01
 
TRADING BEGINS 0720 (CST)   CLOSE 1400    CHICAGO TIME

      PRICE   VOLUME   Volume Plot  x = 20

       6143       86   xxxx
       6142       50   xxx
       6141      228   xxxxxxxxxxx
       6140      194   xxxxxxxxx
       6139      308   xxxxxxxxxxxxxxxx
       6138      842   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
       6137      548   xxxxxxxxxxxxxxxxxxxxxxxx
       6136     1022   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
       6135      384   xxxxxxxxxxxxxxxxxx
       6134      334   xxxxxxxxxxxxxxxxx
       6133      496   xxxxxxxxxxxxxxxxxxxxxxxxx
       6132      684   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
       6131      468   xxxxxxxxxxxxxxxxxxxxxxx
       6130      836   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
       6129      794   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
       6128      520   xxxxxxxxxxxxxxxxxxxxxxxxx
       6127      240   xxxxxxxxxxxx
       6126      252   xxxxxxxxxxxxx
       6125      122   xxxxxx
       6124      214   xxxxxxxxxxx
       6123       52   xxx
       6122       28   x
       6121      366   xxxxxxxxxxxxxxxxxx
       6120      124   xxxxxx
       6119       16   x
       6118      112   xxxxxx
       6117      322   xxxxxxxxxxxxxxxx
       6116      126   xxxxxx
       6115      402   xxxxxxxxxxxxxxxxxxxx
       6114      326   xxxxxxxxxxxxxxxx
       6113     1286   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx.....xxxxxx
       6112      576   xxxxxxxxxxxxxxxxxxxxxxxxxxxxx
       6111      260   xxxxxxxxxxxxx
       6110       72   xxxx
       6109       78   xxxx
       6108       56   xxx
       6107       16   x
       6106        4   x

Figure IDO 2.  Swiss franc volume by price.  October 29 is the next trading day 
after October 26 of figure IDO 1.  The trading range is twice as large and
the orderliness of IDO 1. has disappeared.  Volume today is 12,844 compared
to the much lower 2,574 of yesterday.  This market has moved over $1,000
in one day (close to close).


      6) Day Traders and Swing/Position Traders
Day traders, by definition, are out of the market by the close. They have no long term effect on the market, since they are holding positions only a fractional part of the day and not at all overnight. Markets do move, and sometimes rather violently. Exchange members, as a group, tend to be flat or hedged at the close. Longer term demand, the sort that moves markets, comes from those who hold positions past the close. These are the position traders in the futures, options and debt markets; and the institutions and public in equities. Day traders are the opportunists who jump on a move and hold a short time. Position traders have the patience to hold longer term, creating demand.

      7) Day-by-Day Variation in Market Activity
Perception of opportunity drives the day and short term position trader. The trading day in figure IDO 1 was quiet and few traders acted on what little opportunity existed. The overnight, off-exchange market, which is substantial in currencies, had a 50 point ($625) move. This alerted the exchange timeframe traders. In the first hour of the next trading day price jumped some more and there were over 4000 contracts traded, 160 percent of the previous day total. Opportunity appeared and was eagerly taken.

      8) Heavier Trading at Open and Close
It was pointed out in item 1) that markets with floor trading develop a backlog prior to open. The necessity of day oriented trading exiting prior to close develops a backlog there, also. Since both open and close have associated ranges, demand is artificially changed at these particular times. With the rise of electronic markets, artificial demand from exchange openings and closings will disappear.

      9) Trading Ranges
Short timeframe traders gain by quickly recognizing an opportunity, seizing it and just as quickly exiting. Return is a function of the speed and range of the day's internal movements. So is risk. A quantitative measure of risk in the day timeframe evaluates average swing size. Some swings are more risky to trade than others. At the other extreme, some markets are so un- risky that their opportunity is unacceptably small to the day trader. One of the capabilities of Auction Market Theory is to explore and quantize this aspect of auction markets.

      10) Serial Correlation and Forecasting
There is little day-to-day serial correlation in auction markets (see e.g. Speculation, Hedging ..., Labys & Granger, 1970; or reference 4, p19). This makes today's trading a poor predictor for tomorrow. Consequently, it would be a questionable aim of a market theory to propose forecasting market behavior. AMT trading is based on understanding the current market situation and having a strategy for change; not predicting "tomorrow's" price.

      11) Members Functions
So far market knowledge is equated to an understanding of value based data displays. A market is also comprised of people, the public and the members and/or professional traders. Four classes of futures members inhabit the floor. Non-members must interact with them. It is to the public's advantage to understand member's motivation. Class 1 are the Locals or scalpers, the other side of virtually every transaction. They work for themselves, provide liquidity and are most comfortable with balanced markets. Class 2 are the commercials who's job is to trade and hedge for their companies. These are the businessmen of the floor. Their company will be a large commercial firm, e.g. Morgan Stanley. Since commercials know both the cash and futures markets, they are the best informed traders on the floor. They too work best in balanced markets. In addition to their "business" they may speculate when prices are out of line (capping is discussed later). Commercials typically do five to fifteen percent of the volume. Class 3 are members clearing for other, off-floor, members. This class accounts for around five to ten percent of the volume. Lastly, Class 4 clears for us, the public. We, the public, are typically twenty to thirty percent of the day's trading volume. Chicago Board of Trade and Chicago Mercantile Exchange release the Liquidity Data Bank reports with volume-price-member type statistics.


CBOT VOLUME REPORT

TRADING DATE:  03 22 01

CONTRACT: JUN 01 T-BOND (CBOT) DAY     
 
TRADING BEGINS 0720 (CST);CLOSES 1400;TPO SYMBOLS ARE Z$ABCDEFGHIJKL
FIRST PERIOD IS 10 MINS;SUBSEQUENT PERIODS ARE ALL 30 MINS

      PRICE   VOLUME  %VOL %CTI1 %CTI2 %CTI3 %CTI4 BRACKETS(*)

      10708     2036   0.6  45.6  14.7   4.5  35.2 F
      10707     5694   1.8  59.0   8.7  12.2  20.1 F
      10706     5934   1.9  60.5   3.8   6.8  28.9 FIK
      10705     8342   2.6  57.6   2.9   5.9  33.6 FIKL
      10704    13868   4.3  56.4   3.6  11.5  28.5 EFIKL
      10703    14320   4.5  54.0   5.8   5.5  34.7 EFIJKL
      10702    12186   3.8  61.5  12.3   6.2  20.0 EFGHIJKL
      10701    20582   6.4  56.9   9.7   7.9  25.5 EFGHIJKL
      10700    15382   4.8  57.2   8.5   6.7  27.6 DEFGHIJKL
      10631    23526   7.4  50.5   6.5   6.7  36.3 CDEFGHJKL
      10630    32526  10.2  56.7   7.5   6.0  29.8 CDEFGHJL
      10629    19146   6.0  57.2   4.3   9.6  28.9 CDEGHJLM
      10628    24108   7.5  56.3   6.6   7.9  29.1 BCDEGHLM
      10627    14762   4.6  54.5   5.7  10.9  28.9 BCDEGHLM
      10626    13938   4.4  55.1   9.2   5.5  30.3 BCDEGH
      10625    12528   3.9  59.8   3.9  13.3  23.0 BCEGH
      10624     8466   2.6  61.7   2.8   7.4  28.0 BCE
      10623    19036   5.9  61.1   5.1   5.7  28.2 BCE
      10622     5384   1.7  57.5   4.5   4.4  33.6 BE
      10621     2104   0.7  57.7   6.7   5.9  29.7 BE
      10620      582   0.2  78.7   0.0   0.9  20.3 BE
      10619     1210   0.4  60.6   0.0   2.4  36.9 ZAB
      10618     6980   2.2  53.8   1.5   3.5  41.2 Z$AB
      10617     8616   2.7  59.9   7.3   8.1  24.8 Z$AB
      10616     8616   2.7  55.9   2.1   7.8  34.2 Z$A
      10615     5056   1.6  54.0   5.7   9.0  31.2 $A
      10614     8106   2.5  61.5   3.5   9.9  25.1 $A
      10613     5006   1.6  63.2   2.2   7.2  27.4 $A
      10612     1900   0.6  58.6   3.9   7.6  29.8 $
      10611        4   0.0  50.0   0.0   0.0  50.0 $

                                                     %CTI1 %CTI2 %CTI3 %CTI4

VOLUME FOR JUN 01 T-BOND (CBOT) DAY        319944     57.0   6.1   7.6  29.3
VOLUME FOR ALL T-BOND (CBOT) DAY           320350     57.0   6.1   7.6  29.3


70% VOLUME SUMMARY

      PRICE   VOLUME  %VOL %CTI1 %CTI2 %CTI3 %CTI4 BRACKETS

      10704   225338  70.4  56.3   6.8   7.9  29.0 BCDEFGHIJKLM
      10624

       *The MARKET PROFILE is a registered trademark of the Board of
        Trade of the City of Chicago 1984.  ALL RIGHTS RESERVED.
 
Figure IDO 3.  Liquidity Data Bank for T-bonds, March 22, 2001.
Column headings:  Price, Volume (in half contracts), %Volume for
each price, %CTI1 is volume percentage for the local members, %CTI2 is
volume percentage for the commercial members, %CTI3 is volume percentage 
for the off-floor members and %CTI4 is members acting for the public.
On the far right, BRACKETS refers to the Market Profile.

Below the volume table, totals show the average percentages of volume for each of the four member classes. 70% Volume Summary is the value area. T-bonds are quoted in 32nds. The price 10708 stands for 107 and 8 32nds. The next price tick above 10631 is 10700. A move from 10600 to 10700 is $1000 for the one unit jump. A move from 10621 to 10622 is one price tick, worth $31.25. Liquidity Data Bank reports are a more comprehensive version of Market Profiles. The value area is defined by trading volume as opposed to using the TPO's as in IDO 5.

      12) Electronic Trading Platforms
Electronic platforms are developed primarily to cut trading costs. A side effect is that trades clear faster and more accurately. Member - public interactions are minimized. In some cases simultaneous trading occurs on the floor and on the electronic market. At this time, many traders are placing orders electronically through their computers but the trades are still routed to a trading desk and pass through the standard floor procedures. While how a trade is accomplished is of little moment theoretically; practically there can be a big difference in costs.

As electronic trading grows, the influence of floor members will diminish. The current effects of exchange trading hours will no doubt diminish as well. These changes will little affect the fundamental characteristics of auction markets. Most likely, a trader familiar with auction market basics will have minimal trouble incorporating such changes. For instance, if opens and closes disappear entirely, a new timeframe to replace the exchange day will become apparent, probably defined by trading volume. Currently, the 24 hour electronic markets show consistent times of higher volume tied into the market being traded.

      13) Markets Cycle
Markets continually move from balance to testing the balance, to trend, to testing for end of trend and back to balance. The time spent in any one phase may be long or short. There is no valid method of predicting when the phase may change. Further, any phase may be arbitrarily short. The change from balance to trend can occur in minutes or may take days of testing the balance. Figure IDO 1 was a balance day, the next day that balance has cycled into a trend phase. The progression is known: a market in balance today will surely break out in the future.


Structure of a Trading Day, the Market Profile (tm)
Figure IDO 1 illustrates the price - volume structure of one quiet day in a balanced market. Missing is information on the time of day any particular volume occurred. By slicing a day into sub timeframes and posting the segments in order, a picture of time behavior emerges. Figure IDO 4 shows the trading of figure IDO 1 in half-hour bars. Contract volume is now "time" volume.

                 MARKET PROFILE* REPORT FOR 10 26 01
                          AND SEGMENTED AUCTION

COMMODITY  --  S FRANC (CME-IMM)     DEC 01


   Price  Brackets               Segmented Auction
   6054                             F                  
   6052                             F           J      
   6051                    C        F           J      
   6050                    C        F  G        J  K  L
   6049                    C  D     F  G  H     J |K |L
   6048              A     C  D     F  G |H |  |J |K |L
   6047           z |A    |C |D  E |F |G |H |  |J |K >L
   6046       |y |z |A |  |C |D |E |F |G |H |  |  |  |L
   6045       >y |z |A |  |C |D |E |F |G >H >I >  >  | 
   6044       |y >z |A |  |C |D |E |F |G |H |I |  |  | 
   6043        y |z >A >B >C >D >E >F >G |  |I |  |  | 
   6042           z |A |B |C |D |E |F |G |  |  |  |  | 
   6041           z  A |B |C |D |E |F |  |  |  |       
   6040           z  A |B |C |D |E |  |                
   6039              A  B                           
   6038              A  B                              
   6037              A  B                              
   6036                 B                              

Figure IDO 4.  Swiss franc price by time.  Oct. 26, 2001.  Time is 
denoted by vertical bars: y is 0700 - 0730, z is 0730 -0800, A is
0800 - 0830 and so on until L, 1330 to 1400. These letter groups 
are just 1/2 hour bars.  The display is called a "Segmented 
Auction" since the day is segmented into half-hour time periods.



The time source of the quasi-bell shape of figure IDO 1 is now apparent. The lower part was built in early day trading, the upper, later. End of day trading was near the highs.

Combining figures IDO 1 and IDO 4 displays both volume and time. Many markets do not report volume along with the price ticks. In fact, some markets never report volume at price, just end of day totals for all prices. A surogate for volume (demand) is price over time. Each of the letters in figure IDO 4 denotes trading at that price within that time frame. The auction market assumption is that frequency of trading at a price measures relative demand. e.g. at 6050, trading first occurred in the C timeframe, then recurred in F, G, J, K, L timeframes a total of six periods throughout the day. At 6054 there was trading only in F time period. The assumption is that there is more demand at 6050 with six events than at 6054 with one event, i.e. 6050 won the popularity contest. Figure IDO 1 shows that indeed there was much more volume at 6054 than at 6050.

Events (the A, B, C's) are called TPOs, short for Time-Price-Opportunity (or That-Price-Occurred). One who wanted to trade at 6050 had at least six chances, six different half hour periods where trading occurred at 6050, while someone wanting to trade at 6054 only had the F time frame to do it in. Opportunity at 6050 is approximately one-sixth the opportunity at 6054. A more precise measurement of relative opportunity could be obtained by using 15 minute bars, or even shorter.

Practically, TPOs greatly simplify defining market structure within the trading day. Collapsing the TPOs from the half hour bar into the price - volume distribution of figure IDO 5 completes the development of the Market Profile.




                 MARKET PROFILE* REPORT FOR 10 26 01
                          AND SEGMENTED AUCTION

COMMODITY  --  S FRANC (CME-IMM)     DEC 01


   Price  Market Profile            Segmented Auction
   6054 F                                      F                  
   6052 FJ                                     F           J      
   6051 CFJ                           C        F           J      
   6050 CFGJKL                        C        F  G        J  K  L
   6049 CDFGHJKL                      C  D     F  G  H     J |K |L
   6048 ACDFGHJKL               A     C  D     F  G |H |  |J |K |L
   6047 zACDEFGHJKL          z |A    |C |D  E |F |G |H |  |J |K >L
   6046 yzACDEFGHL       |y |z |A |  |C |D |E |F |G |H |  |  |  |L
   6045 yzACDEFGHI       >y |z |A |  |C |D |E |F |G >H >I >  >  | 
   6044 yzACDEFGHI       |y >z |A |  |C |D |E |F |G |H |I |  |  | 
   6043 yzABCDEFGI        y |z >A >B >C >D >E >F >G |  |I |  |  | 
   6042 zABCDEFG             z |A |B |C |D |E |F |G |  |  |  |  | 
   6041 zABCDEF              z  A |B |C |D |E |F |  |  |  |       
   6040 zABCDE               z  A |B |C |D |E |  |                
   6039 AB                      A  B                              
   6038 AB                      A  B                              
   6037 AB                      A  B                              
   6036 B                          B                              

Figure IDO 5.  Swiss franc Market Profile.  Oct. 26, 2001.  
The price - time distribution
is quasi-bell shaped.  TPO volume peaks in the middle prices
(6050 to 6040) and then tails off toward the upper and lower limits.  There 
is very little support for trading at the highs and lows of the day.
The highs and lows are rejected.  Prices in the middle are
accepted.  


A Market Profile tends to even out the volume trading spikes such as those at 6047 and 6045 in figure IDO 1. The same is seen to be true in figure IDO 6, the profile of the data in figure IDO 2.

Price-over-time, in line with general usage, is designated value. Value maps out a wide area in the mid region of a balanced market. It is inappropriate to say for figure IDO 5 that value for the day is 6045. Rather, one would state that the market finds value in the 6050 - 6040 area. It is appropriate to say "the market rejects prices in the neighborhood of 6054 and 6036".

Balance days consistently display the quasi-bell shaped curve. That shows a general agreement on value. Note that the distribution is not ideally normal--this is experimental data (e.g. there is not enough data to apply econometric analyses).

Trend days often show small bell shaped price - volume distributions (ref. 4, pg 78 -84), albeit in a manner modified to accept the change in value.



                 MARKET PROFILE* REPORT FOR 10 29 01
                          AND SEGMENTED AUCTION

COMMODITY  --  S FRANC (CME-IMM)     DEC 01


   Price  Brackets               Segmented Auction
   6143 K                                                     K   
   6142 KL                                                   |K  L
   6141 KL                                                   |K |L
   6140 HKL                                         |H |  |  |K |L
   6139 EHKL                               |E |  |  |H |  |  |K |L
   6138 BEHKL                      B    |  |E |  |  |H |  |  |K |L
   6137 BDEHKL                     B    |D |E |  |  |H |  |  |K |L
   6136 BDEHKL                     B    |D |E |  |  |H |  |  |K |L
   6135 BDEHJKL                    B    |D |E |  |  |H |  |J |K |L
   6134 BDEHIJKL                   B    |D |E |  |  |H |I |J |K |L
   6133 BDEHIJKL                   B    |D |E |  |  |H |I |J |K |L
   6132 BDEHIJK                    B    |D |E |  |  |H |I |J |K | 
   6131 BCDEHIK                    B  C |D |E |  |  |H |I |  |K | 
   6130 BCDEFHIK                   B  C |D |E |F |  |H |I |  |K | 
   6129 BCDEFGHK                   B  C |D |E |F |G >H >  >  >K > 
   6128 BCDEFG                     B  C |D |E |F |G |  |  |  |  | 
   6127 BCDEFG                     B  C >D >E >F >G |  |  |  |  | 
   6126 BCFG                       B  C |  |  |F |G |  |  |  |  | 
   6125 BCFG                       B |C |  |  |F |G |  |  |  |  | 
   6124 B                          B |  |  |  |  |  |  |  |  |    
   6123 B                          B |  |  |  |  |  |  |  |       
   6122 B                          B |  |  |  |  |  |  |  |       
   6121 B                         |B |  |  |  |  |  |  |  |       
   6120 B                         |B |  |  |  |  |  |  |          
   6119 zB                   z    |B |  |  |  |  |  |  |          
   6118 zA                   z  A |  |  |  |  |  |                
   6117 yzA               y |z |A >  >  |  |  |  |                
   6116 yzA              |y |z |A |  |  |  |                      
   6115 yzA              |y |z |A |  |  |                         
   6114 yzA              >y |z |A |  |                            
   6113 yzA              |y >z >A |  |                            
   6112 yzA              |y |z |A |  |                            
   6111 yzA               y |z |A |  |                            
   6110 yzA               y |z |A |  |                            
   6109 zA                   z  A |  |                            
   6108 zA                   z  A |  |                            
   6107 zA                   z  A |  |                            
   6106 z                    z    |  |                            

Figure IDO 6.  Market profile for SF on October 29, 2001.  A trend day.
The volume profile, figure IDO 2, shows the same general structure, but
market profile shows timing within the movement.  Overnight trading
in the inter-bank market moved price upward as noted (from about 6050 to
the 6114 region).  For the first three periods the market accepted 6114
as the new balance.  But this was merely a pause, not end-of-trend.
The next jump in B period (8:30 - 9:00) found a new balance around 6133.


Structures like the two distributions in IDO 6 illustrate the inefficiency of markets. An overnight price rise of about 50 points obviously came on an increase in demand. The exchange market opened around 6114 and traded there for about an hour. However, the latent demand in the market became slowly recognized, driving price to the 6135 region, which became the balance for the day. Can this scenario be proved? No, it is not possible know the opinions and thought processes of all traders. However, this "slowly catching on" behavior is quite prevalent in value shifts. Another example of inefficiency we will discuss is the "short covering rally" in which the demand is latent on the opening, price is driven up strongly, the shorts are often covered in about an hour, and then price slowly recovers over several hours as the true demand becomes apparent to the traders. A profile of this action represents a capital P. This behavior has been named the "P" distribution, as in Peter (Steidlmayer). The P distributions show a time lag of about two hours, the time it takes the market to digest the real demand.

Market Profile Recap
Within a trading day, the natural interplay of trading forces generates a price - volume curve similar to the well known bell shape of the normal distribution. The volume per price around the middle prices far outweighs the volume per price farther away. The middle seventy percent of the volume is designated Value by analogy with the +/- one standard deviation of the normal curve (see figure 2). Prices at either end of the 70 percent value region define the Value Area. Prices outside the Value Area are increasingly less significant the further they are from the value region, with the day's highs and lows having the least volume and being least significant (ref. 5).

Longer Term Considerations, the Overlay Demand Curve (tm)
Any auction market may be, at a particular time, (1) in balance (temporary equilibrium), (2) in a trend or (3) in transition between equilibrium and trend. The trend phase breakout from a balance can often be identified in a short time, depending on the speed with which it develops. If there is a quick breakout, the change to trend is fast, e.g. overnight (the Swiss franc on 10/29, figures IDO 1 and IDO 2). An equilibrium or balanced market condition becomes recognizable only only after it is well underway, e.g. several days after the end of a trend (see ref. 4, pg 77 for run - pause behavior in trends).

Market Profile, Multiple Days: Overlay Demand Curve
Market Profile pictures the 'day' structure of a market. It's time frame is the length of the trading day and the information it contains reflects the participant's feelings for that time frame. Reference points for the profile (value area, point of control, etc.) are 'local' and have an equally short term validity (of the order of a day). Carry over into the next day depends on the rate of change of the participants change in attitude. Each day is relatively independent of the former day; the coupling from day to day is normally very weak (ref. 4, pg 19). But a trader seeks information to act on and previous market activity inevitably has some effect. That carry-over effect is measured by consolidating several days of Market Profile, into what is called the 'Overlay Demand Curve'.



                 FIVE DAYS OF MARKET PROFILES
        MARKET PROFILE* REPORT FOR 03 16 01 - 03 22 01

COMMODITY  --  T-BOND (CBOT) DAY     JUN 01

  Day ID ==>   5          6            7           8             9
 Price  03 16 01   03 19 01     03 20 01    03 21 01      03 22 01
  10708                                                   F
  10707                                                   F
  10706                                                   FIK
  10705                                                   FIKL
  10704                                                   EFIKL
  10703                                                   EFIJKL
  10702                                                   EFGHIJKL
  10701                                                   EFGHIJKL
  10700                                                   DEFGHIJKL
  10631                                                   CDEFGHJKL
  10630                                                   CDEFGHJL
  10629 A                                                 CDEGHJL
  10628 AB                                                BCDEGHL
  10627 AB                                                BCDEGHL
  10626 ABCD                                y             BCDEGH
  10625 ABCD                                y             BCEGH
  10624 ABCD                                yz            BCE
  10623 ABCDE                               yz            BCE
  10622 ABCDE                               yz            BE
  10621 ABCDE                               yz            BE
  10620 zABCDE                              yz            BE
  10619 zABCDE                              yz            yAB
  10618 zABCDEL                             zB            yzAB
  10617 zABCEFL                             zABCGHJ       yzAB
  10616 zBCEFL                              ABCGHJ        yzA
  10615 zBCFL                               ABCGHIJK      z
  10614 zBCFGIL    y                        ABCFGHIJK     z
  10613 yzBFGHIL   yz           L           ABCFGHIJK     z
  10612 yzFGHIJL   yzA          L           ABCEFGGHIJK   z
  10611 yzFGHIJL   yzABG        L           BCEFHIKL      z
  10610 yzFGHIJL   yzABCG       L           BCDEFHKL
  10609 yzFGHJKL   yzABCDG      L           BCDEFKL
  10608 yzFGHJKL   yzABCDEFGHI  KL          CDEFL
  10607 yzGHJKL    ABCDEFGHIJ   KL          CDEFL
  10606 yGJKL      BCDEFHIJ     KL          CFL
  10605 JK         CEHIJK       KL
  10604            JK           yBJKL
  10603            KL           yzABCDEJK
  10602            KL           yzABCDEJK
  10601            KL           yzABCDEJK   
  10600            L            zACDEJK
  10531            L            zEFJK
  10530            L            zEFGIJK
  10529                         EFGHIJ
  10527                         FGHI
  10526                         I

 Figure IDO 7.  Five sequential days of Market Profiles. Mar. 16 - 22, 2001.

To illustrate: The five days of figure IDO 7 appear to be trending down for three days and then trending up. There is, of course, noise and volatility included in the data. Further, each day may have it's own rumors, power plays, reports and the like. We are left with an unknown variation from day to day, even if the (real) value does not change. Each of the days appears to have a relatively well developed bell shaped curve of value. However the center of value, the maximum TPOs (POC) varies from day to day:
           POC (Point of Control)
  3/16    10611
  3/19    10608
  3/20    10602
  3/21    10612
  3/22    10631


The scatter in POC averages out to 10611. The first four days average is 10608. The latest day, 3/22, seems to be out of line, a little stronger than the average deviation. We leave the question of day 5 for the moment and return to figure IDO 7. Our eye may well have fooled us. At least in the first four days our perception of trend was based on an average deviation of only about 3 points in the POC. The volatility (half-hour ranges) is easily 8 points.

The Overlay Demand Curve and Market Condition
Experience shows that successful trading with the Market Profile alone is difficult to attain. Missing is the context for analysis, the longer term structure of the market.

One trades differently in a trend than in a balance. But trend, balance or transition phases are often not one-day phenomena. It usually takes several days for a recognizable balance to develop. The same is true for the transition from a trend to a balance. Time is a factor, due to noise, volatility and changing market situations. Extending to a longer timeframe can be accomplished by collecting and assembling a series of day timeframe Market Profiles.

Since there is little day-to-day serial correlation between profiles, merely stepping from one profile to the next is too confusing, as noted in the discussion following figure IDO 7. Rather, the set of profiles must be integrated, collected in such a way that their salient characteristics are preserved with much of the noise and some of the volatility excised.

Summing several days of profiles cancels out the noise (rumors, news, etc.) that is a part of each day. The resulting Overlay Demand Curve(tm) turns out to contain a deeper level of information. This is similar to a tornado that, while comprised of many individual wind cells, is totally unlike any of them. Overlays (tm), in the same way are more than the sum of their Market Profiles. The Overlay converts data from the day timeframe to the longer term required for understanding the over-all market behavior. An Overlay answers the question what is the market doing with a time specific response (e.g. the market has been in balance for the last four days, while trending up over the last 17 days). The response "balance last four days, within an overall 17 day trend" quantifies the market's condition. An Overlay provides, among other things, market condition, distribution limits for balanced markets, trading entry prices and provisional stop loss points. Market condition is the starting point and foundation for all subsequent trading decisions.

Overlays can be set at any length. A convenient grouping for futures is found to be four periods: five, 10, 15 and 20 days. The Overlay of the five days of Market Profile of figure IDO 7 is in figure IDO 8. We define a distribution (bell) to be limited by three TPO's as an estimate of the distribution cut-off at +/- two standard deviations, the approximate 95 percent confidence level of a normal distribution. Thus, the upper limit is 10706 and the lower limit is 10528. There is a single distribution, so the market is in balance, on a 5 day basis. Insofar as the normal distribution analogy holds, a price outside the upper or lower limit is likely to be the start of a different distribution. Put another way, a breakout from an Overlay limit is an alert for a change in value. Or, a breakout from balance is an alert of a potential change of market condition from non-directional to directional (trending).


TPO VOLUME OVERLAY AND PRICE ROTATION PROFILE
JUN 01 T-BOND (CBOT) DAY     
03 16 01 TO 03 22 01

 PRICE DYS  L/F ROT PROFILE *  TPOS TPO VOL OVERLAY *
 
 10708  1    9    9               1 X
 10707  1    9    9               1 X
 10706  1    9    9               3 XXX  <== Upper Dist. Limit
 10705  1    9    9               4 XXXX
 10704  1    9    9               5 XXXXX
 10703  1    9    9               6 XXXXXX
 10702  1    9    9               7 XXXXXXX
 10701  1    9    9               8 XXXXXXXX
 10700  1    9    9               9 XXXXXXXXX
 10631  1    9    9              10 XXXXXXXXXX
 10630  1    9    9              11 XXXXXXXXXXX
 10629  2   59    59             10 XXXXXXXXXX
 10628  2   59    59              8 XXXXXXXX  <== Close
 10627  2   59    59              7 XXXXXXX
 10626  3   59    589             9 XXXXXXXXX
 10625  3   59    589            10 XXXXXXXXXX
 10624  3   59    589            10 XXXXXXXXXX
 10623  3   59    589             9 XXXXXXXXX
 10622  3   59    589             9 XXXXXXXXX
 10621  3   59    589             9 XXXXXXXXX
 10620  3   59    589            11 XXXXXXXXXXX
 10619  3   59    589            11 XXXXXXXXXXX
 10618  3   59    589            12 XXXXXXXXXXXX
 10617  3   59    589            15 XXXXXXXXXXXXXXX
 10616  3   59    589            15 XXXXXXXXXXXXXXX
 10615  3   59    589            16 XXXXXXXXXXXXXXXX
 10614  4   59    5689           19 XXXXXXXXXXXXXXXXXXX
 10613  5   59    56789          22 XXXXXXXXXXXXXXXXXXXXXX
 10612  5   59    56789          22 XXXXXXXXXXXXXXXXXXXXXX
 10611  5   59    56789          24 XXXXXXXXXXXXXXXXXXXXXXXX
 10610  4   5     5678           25 XXXXXXXXXXXXXXXXXXXXXXXXX
 10609  4   5     5678           22 XXXXXXXXXXXXXXXXXXXXXX
 10608  4   5     5678           24 XXXXXXXXXXXXXXXXXXXXXXXX
 10607  4   5     5678           21 XXXXXXXXXXXXXXXXXXXXX
 10606  4   5     5678           20 XXXXXXXXXXXXXXXXXXXX
 10605  3   5     567            10 XXXXXXXXXX
 10604  2         67              7 XXXXXXX
 10603  2         67             11 XXXXXXXXXXX
 10602  2         67             12 XXXXXXXXXXXX
 10601  2         67             11 XXXXXXXXXXX
 10600  2         67             10 XXXXXXXXXX
 10531  2         67              7 XXXXXXX
 10530  2         67              7 XXXXXXX
 10529  1         7               5 XXXXX
 10528  1         7               5 XXXXX  <== Lower Dist. Limit
 10527  1         7               1 X
 
Figure IDO 8.  Five Day Overlay Demand Curve of June 2001 T-bonds 3/16 - 3/22.
The label L/F gives the range of the earliest day (5) and the most recent 
day (9).  The Rotation Profile (ROT PROFILE) is the range for each of the 
five days presented in Market Profile form.  It allows the relative dates 
of trading to be resolved.  In this case, the 9's show the latest day's
trading to be near the top of the 5 day distribution.

Earlier it was noted that one effect of disequilibrium is that Auction Market Theory has an empirical base. That point is demonstrated in the following discussion of the Overlay of figure IDO 8. It will be seen that the tenets of AMT leads one directly to the analysis. Unraveling the details inside a particular market situation draws on both market knowledge and experience. There are many possible Overlay timeframes, for all different markets. The shortest one would use would have at least the most recent market condition in its entirety. This one covers five days of the U.S. T-bonds. The market may be in one of four conditions (balance, transition to trend, trend and transition to balance). Figure IDO 8 shows a balance (10706 - 10528). Further, trader activity and interest in the market may be of various kinds. Yet, the Overlay and Market Profile structures are universal, bringing the market forces together in a single display. The analyst's task is to read the market from AMT principles and set the strategy for the next day. The basics will all be there, but the reasons for the behavior will often come from experience and market understanding.

Observables are the raw data of Auction Market Theory. They range from prices and their behavior to constructs such as Market Profile and Overlay Demand Curves. The constructs bring value into the picture. With value in hand, theory development can proceed.

Auction Market Theory Development. The Elements.
Now that the observables and their consequences have been considered, it is time to collect and sort out the descriptors of auction markets. General information brings auction markets into focus; what they are, how they are constituted. This information is the framework for understanding the details of the theory.

Elements of Auction Markets
   General
Since financial auction markets are of diverse sorts, some of these general elements are prone to change. The viewpoint here is of exchange based trading. Movement to off-exchange trading will certainly alter the effects of exchanges and members. However, nothing in the forseeable future will change the fundamental way auction markets behave, the way prices are negotiated and the way demand affects value.
1) Future price levels are not predictable.
2) Markets display little day to day serial correlation.
3) Auction market: marketplace in which price is arrived at by negotiation.
4) Double-sided auction markets see activity by both buyers and sellers.
5) Auction markets are not generally equilibrium systems.
6) An auction market's structure is continuously evolving, being revalued.
7) An auction market is in one of two conditions: balancing or not balancing.
8) Demand fluctuates over the day timeframe.
9) Demand change drives price change.
10) Markets generate price data: ticks, open, high, low, close
11) Price ranges are developed by negotiation.
12) Some prices are accepted, some are rejected.
13) Market volume varies day to day.
14) Market range varies day to day.
15) Markets accumulate (balance) and distribute (trend).
16) Markets cycle (phases are: balance, test, trend, test, balance, etc.)
17) A market phase can exist for a short time (minutes) or long (days).
18) Market hours control aspects of trading: openings, closes, initial balance.
19) Heavier trading is seen on exchange opens and closes.
20) Auction markets are traded for short term appreciation.
21) Traders seek value.
22) Accepted prices define value.
23) Value is price over time. P x T = V x constant
24) Value based (price-time) data: Market Profile, Overlay Demand Curve.
25) Short timeframe trader holding period is from minutes to hours.
26) Longer timeframe trader holding period is days.
27) Longer timeframe traders move markets by accumulating positions.
28) Public day traders and public long timeframe traders seek trends.
29) Long term trending markets are controlled by long timeframe traders.
30) Four types of exchange members (floor, commercials, off-floor, public).
31) Most members seek balanced markets.
32) Most members are short-time frame traders.
33) Electronic platforms clear faster


   Market Profile (MP)
Market profiles graphically display generally understood market characteristics (price - volume). A market day displays price change from demand, rumors, aborted moves and trading strategies. Market Profile displays the structure of the day.
1) Price - volume structure: a day's trading is quasi-bell shaped.
2) Accepted and rejected prices are displayed. Usually they are highs and lows.
3) The TPO is the minimum time for information to be decoded by the market.
4) TPOs developed because of market inefficiency in mirroring demand.
5) The Value Area is easily identified by it's bell shaped bulge.
6) The most heavily traded price is near the middle of the distribution (POC).
7) Volatility is measured by the average range of the half-hourly bars.
8) Market Profile displays market congestion.
9) Balancing markets are congesting.
10) Pausing trends are congesting.
11) Market Profile displays Initial Balance (first hour).
12) Demand change is often delineated in 'double (running)' Market Profile.

The Overlay Demand Curve identifies the phase, the market condition. The Overlay is a multi-day construct. Market profile is a day structure. It's interpretation requires a larger framework, the phase of the market. A balanced profile in a balanced market phase would be interpreted differently than the same profile within a trending market.

   Overlay Demand Curve (ODC)
1) ODC collects day markets into longer term structures.
2) Demand Curve structure of ODC shows market condition, its phase.
3) ODC development shows continuation or change in phase.
4) Breakout from balance is an alert for trend.
5) ODC shows time evolution of a market with varying length Overlays.
6) Balanced markets define the distribution limits and risk.
7) ODC is Quasi-bell shaped, locates value region and shows price rotation.
8) In trending markets, ODC shows trend components including pauses.
9) The ODC distribution delineates expected and unexpected market behavior.
10) Expected/unexpected behavior leads to "if this, then that" analysis.
11) ODC may contain internal trends.
12) ODC balance may be skewed, indicating non-balance influences.


The Structure is Complete
Auction markets can be analyzed and understood with the elements posted above. These elements are the base of Auction Market Theory. Since the theory is empirical it is not falsifiable, i.e. it's validity rests upon it's utility. But markets change and new definitions may be required or old ones altered. Certainly there will be change in the exchange structure if electronic trading dominates. Or, the TPO, which is defined on a 30 minute basis, may move to another timeframe as new methods of information dissimination develop. Such change will not alter the fundamental ways auction markets work.

The elements of the theory are both descriptive and numeric. Facts of auction market behavior are useful for qualitative decisions, e.g. increasing volume alerts the trader to other possible changes. Numeric elements are the stuff of hard trading decisions. Numerics are, e.g. the Market Profile value area prices, the rejected highs and lows; the Overlay Demand Curve limits and risks and the price of the pause in a trend. The numerics can lead to trading rules, e.g. buy if market price exceeds the upper limit.

Volatility
Volatility is a natural part of all auction markets. In CAPM it is the risk, arrived at statistically. AMT is slightly different. Volatility is related to the trading range; small in quiescent periods, larger in more active markets. It changes from day to day. Fluctuation grows with volume in the day timeframe. Daily trading range does give a gross estimate of market fluctuation.

A better working estimate of volatility describes activity within the day. Market Profiles are based on half-hour periods. Half-hour timeframes break down the day into manageable parts. More importantly, a half-hour appears to be the minimum average time for changes in demand to be reflected in the value (see Steidlmayer Observations, 3).

We define the (AMT) volatility as the average range of the half-hour time periods of a Market Profile. In figures IDO 9 and IDO 10, these are:

                       y  z  A  B  C  D  E  F  G  H  I  J  K  L   Average
           March 21    8  8  6 10 12  4  6  9  6  8  5  6  7  6     7.4

           March 22    4  8  7 12  9  7 17 11 10  9  7  7  8 11     9.1
                       
The average of the half-hour bars approximates the risk of a trade stop-out from either the long or short side. It is the 'noise' risk. If one sets a risk (stop-loss) smaller than the noise, then the probability is high that simple market fluctuation will cause trade exit. The volatility, then, becomes the minimum risk one should take on a trade.

Practically, volatility has another important use. It is a sensitive measure of market congestion. Balanced markets (congestion) have low volatility. Trending markets have larger volatilities. March 21 is clearly congesting, as observed in figure IDO 9. March 22 (figure IDO 10) is a combination trend (periods y through F) and congestion (periods G through L). The 90 day average volatility for T-bonds (as of March 13, 2002) is 8.3. Minimum is 3.9 and maximum is 15.5. Assuming about the same range in 2001, both March 21 and 22 are near the average. Large volatility increases rarely precede the start of a trend, although sometimes the general market tenor, as measured by volatilty, rises prior to directional movemant. Volatility is more of a coincident indicator, which helps to uncover trend end. In the table below, volatility offers a tip-off to market intentions.

UU MAR 02
   DATE     OPEN    HIGH     LOW   CLOSE  BAL  VTY    ULIM    LLIM
 1/28/ 2  113250  113880  112610  113550  YES  303  113900  111800
 1/29/ 2  113600  113825  109750  110050   NO  546
 1/30/ 2  110050  111575  108075  111550   NO  775
 1/31/ 2  111550  113000  111300  113050   NO  405
 2/ 1/ 2  112875  113225  111850  112350  YES  350  113600  108700
 2/ 4/ 2  112325  112400  109100  109525  YES  471  113000  108700
 2/ 5/ 2  109550  110150  108225  108900   NO  614
 2/ 6/ 2  108925  109450  107700  108375   NO  600
 2/ 7/ 2  108625  109500  107625  107700   NO  578
 2/ 8/ 2  107625  109675  107550  109650  YES  483  110300  107750
 2/11/ 2  109700  111275  109425  111025   NO  308
 2/12/ 2  111050  111325  110250  110750   NO  337
 2/13/ 2  110725  112150  110525  111875   NO  383
 2/14/ 2  111900  112550  111175  111675   NO  367
 2/15/ 2  111650  111800  110300  110475  YES  387  112400  109850

Table IDO-T1.  S&P emini March 2002.  Market demand interpretation
aided by the volatility.  BAL is 5 day balance as discussed in the
Overlay Demand Curve section.  ULIM and LLIM are the Overlay balance
limits.  VTY is the half-hour bar average volatility for the day.

  Start with the Balance as of close Jan 28.
  Jan 29, breakout on down side alerts for start of trend.
  Close of Jan 29: Price lower, volatility at 546 is up 80 percent.
    Interpretation:  volatility implies demand is still present.
  Close of Jan 30: Trend bottomed out at 108075. Closed higher.
    Interpretation:  short timeframe trend is over.  Higher volatility
                     is not directional and is disregarded.

  Start with the Balance as of close Feb 4.
  Feb 5, breakout on down side, volatility up 30 percent, price lower.
    Interpretation:  short timeframe trend is probably still in place.
  Feb 6, price moves down slightly, volatility is only 27 percent above entry.
    Interpretation:  demand or trader interest is not growing.
  Feb 7, price continues down, volatility is down to 22 precent above entry.
    Interpretation:  demand continues to decay.
  Feb 8, local bottom reached at 107550, close is higher, market in balance.
    Interpretation:  trend is over.

  Start with the Balance as of close Feb 8.
  Feb 11, breakout on the upside, close at breakout price, volatility lower.
    Interpretation:  breakout not supported by demand increase.
Volatility is another valid way to check markets for congestion. As reference point for market condition, volatility adds to the visual measures discussed in figures IDO 6, 9, 10 and 12.

Volatility calculations are tied to the timeframe. If a different timeframe is selected (say 15 minute bars) the volatility will be unique to that timeframe. However, the only valid volatility is the one associated with the appropriate timeframe, the timeframe that best reflects the time delays inherent in the market. That timeframe is thirty minutes in the data in this report.


An Application: Day Trading T-bonds on March 23
Auction Market Strategy for March 23, Market Condition from Overlays: At the end of a trading day we are faced with the decision of how to trade tomorrow. A swing/position trader will first attend to the trades that are still on. A day trader will presumably have no current trades. For this example we assume no positions left over at the close of March 22.

Our general approach is to collect the information available on value and market condition. These data will include the latest day's behavior and at least the market of the day prior. Then we factor in what we know from the theory of markets. Lastly, we set our strategy for the next day. Both day and swing traders start their analyses at the same place--with the market condition.

Market Condition at the close of March 22 from figure IDO 8 is:
     MC1) Market in 5 day balance, with limits 10706 and 10528, close 10628
     MC2) Balance is skewed toward the top
     MC3) Latest day trading (L/F = 9) concentrated at upper prices

From the previous 5 day Overlay of March 21 in figure IDO 13:
     MC4) Market in 5 day balance, limits 10626 and 10527, close 10611
     MC5) Balance is symmetrical
     MC6) Latest day trading (L/F = 9) mostly above the midpoint


Conclusions from Market Condition (MC) behavior
     MC7) On March 22 the balance broke out on the upside but did not hold
     MC8) Price ran up to 10708 (14 ticks = $437), then pulled back to close
         at 10628, a sign of weakness
     MC9) At end of day, market is back in balance (is this a failed breakout?)

Market Condition Preliminary trading decisions (TD) for March 23
     TD1) Swing trader will go long above 10706 or short below 10528
     TD2) Risk will be around $325, the one standard deviation level.

Recall that the market condition provides the framework within which value based trading decisions are made.

Auction Market Value Analysis (MV) for March 23 At the end of trading on March 21 the value area is 10617 to 10609. Market Profile for the day is unremarkably congesting (figure IDO 9).
     MV1) Value Area 3/21: 10617 to 10609, 8 points ($250)


LENGTH OF FIRST PERIOD =           10 MINS

                 MARKET PROFILE* REPORT FOR 03 21 01
                          AND SEGMENTED AUCTION

COMMODITY  --  T-BOND (CBOT) DAY     JUN 01


   Price  Brackets               Segmented Auction
  10626 y                 y                                       
  10625 y                |y    |                                  
  10624 yz               |y |z |                                  
  10623 yz               >y |z |                                  
  10622 yz               |y >z |  |                               
  10621 yz               |y |z |  |                               
  10620 yz                y |z |  |  |                            
  10619 yz                y |z >  |  |  |                         
  10618 zB                   z |  |B |  |  |                      
  10617 zABCGHJ              z |A >B >C >  >  |  |G |H |  |J |  | 
  10616 ABCGHJ                  A |B |C |  |  |  |G |H |  |J |  | 
  10615 ABCGHIJK                A |B |C |  |  |  |G |H |I |J |K | 
  10614 ABCFGHIJK               A |B |C |  |  |F |G |H |I |J |K | 
  10613 ABCFGHIJK               A |B |C |  |  |F |G |H |I |J |K | 
  10612 ABCEFGHIJK              A |B |C |  |E >F >G >H >I >J >K > 
  10611 BCEFHIKL                   B |C |  |E |F |  |H |I |  |K |L
  10610 BCDEFHKL                   B |C |D |E |F |  |H |  |  |K |L
  10609 BCDEFKL                    B |C |D |E |F |  |  |  |  |K |L
  10608 CDEFL                         C |D |E |F |  |  |         L
  10607 CDEFL                         C  D |E |F |               L
  10606 CFL                           C        F                 L

TPO Analysis

CENTER       10612

VALUE AREA FROM TPOS
 UPPER       10617
 LOWER       10609

Figure IDO 9.  Market Profile for T-bonds, March 21, 2001.
After the seven point drop in the first two periods, the market
is in congestion the rest of the day.


The latest trading day, March 22, has value area of 10705 to 10625. It shows congestion, trend and then large congestion.
     MV2) Initial trading is slightly above and inside previous value
     MV3) Trend: breakout from the congestion at 10620 with a run to 10628
     MV4) Congestion for the rest of the day, a sign of trend termination
     MV5) Close of 10628 is well down into the congestion region

Conclusions from Market Value behavior      MV6) Value is higher on the day, but got there early (B period)
     MV7) Market showed congestion early, during first hour or so
     MV8) Market spent last 5 hours in congestion
     MV9) Except for the quick run in B period this is a congesting market
   MV10) Value at 10705 - 10625 provide support/resistance for tomorrow
   MV11) Price nearing 10705 (upper limit = 10706) is a warning of impending breakout
   MV12) Price below 10625 is a sign of weakness

Trading Strategy (TS) for March 23, Basis both Condition and Value: Note that all the information used is market developed. Also remember that market condition can change overnight as happened in the Swiss franc example. The trader reads the market and determines a strategy based on current conditions. Any substantial change will be obvious, requiring an upgraded analysis.
     TS1) The market is in balance. Price above 10706 is an upside breakout
       Price below 10528 is a downside breakout
     TS2) Risk on breakout for the swing trader is around $330
     TS3) Risk on breakout for the day trader is around $160
     TS4) Early congestion followed by massive later congestion on 3/22
       is indicative of a market confused about underlying demand
     TS5) A breakout tomorrow is unlikely because of the congestion picture
       in the last few market hours of 3/22.
     TS6) This is a low priority market for the breakout swing trader
     TS7) If tomorrow open is still in the upper area of the Overlay, day
       traders are looking to short any turndown. If prices reach
       near the bottom of the Overlay, we will seek to buy bottoms.
     TS8) If the upper limit (10706) is exceeded, day traders change to looking
       to buy into upturns.
     TS9) Upper Limit (10706) and upper value area (10705) are nearly
       coincident. Price there is strongly bullish.
   TS10) Day traders turn bearish below 10625, seeking to short downturns.

Trading strategies TS1 through TS10 come from a direct reading of the auction market variables. Another seasoned trader may use the same data in a somewhat different way, differentiated by experience. The starting point is the same: trading on 3/22 began with an upside thrust, a breakout, and then traded down while congesting. The previous day, 3/21, ended in a much more symmetrical balance and that day's Market Profile was likewise quite normal for trading in a balance.

So 3/22 is a colossally failed breakout. Why? How soon in the day's development could a market savvy trader catch on? Congestion tells the tale. We are looking for that transition from trend to balance. We can recognize congestion graphically as in figure IDO 10. But if we know more about markets, we have a chance to do some intelligent guessing.

LENGTH OF FIRST PERIOD =           10 MINS

                 MARKET PROFILE* REPORT FOR 03 22 01
                          AND SEGMENTED AUCTION

COMMODITY  --  T-BOND (CBOT) DAY     JUN 01


   Price  Brackets               Segmented Auction
  10708 F                                      F                  
  10707 F                                      F                  
  10706 FIK                                    F        I     K   
  10705 FIKL                                   F       |I |  |K |L
  10704 EFIKL                               E  F |  |  |I |  |K |L
  10703 EFIJKL                              E |F |  |  |I |J |K |L
  10702 EFGHIJKL                            E |F |G |H |I |J |K |L
  10701 EFGHIJKL                            E |F |G |H |I |J |K |L
  10700 DEFGHIJKL                        D |E |F |G |H |I |J |K |L
  10631 CDEFGHJKL                     C  D |E |F |G |H |  |J >K >L
  10630 CDEFGHJL                      C  D |E |F |G |H |  >J |  |L
  10629 CDEGHJL                       C  D |E |  |G |H |  |J |  |L
  10628 BCDEGHL                    B  C  D |E |  |G |H |  |  |  |L
  10627 BCDEGHL                    B  C  D |E |  |G |H |  |  |  |L
  10626 BCDEGH                     B  C |D >E >  >G >H >  |  |  | 
  10625 BCEGH                      B  C |  |E |  |G |H |  |  |  | 
  10624 BCE                        B |C |  |E |  |  |  |  |  |    
  10623 BCE                        B |C |  |E |  |  |  |  |       
  10622 BE                         B |  |  |E |  |  |  |          
  10621 BE                         B |  |  |E |  |  |             
  10620 BE                        |B |  |  |E |  |                
  10619 yAB              |y |  |A |B |  |  |  |                   
  10618 yzAB             >y |z |A >B >  >  |  |                   
  10617 yzAB             |y |z |A |B |  |                         
  10616 yzA               y >z >A |  |  |                         
  10615 zA                  |z |A |  |  |                         
  10614 zA                   z  A |  |  |                         
  10613 zA                   z  A |  |  |                         
  10612 z                    z       |  |                         
  10611 z                    z       |  |                         

TPO Analysis

CENTER       10631

VALUE AREA FROM TPOS
 UPPER       10705
 LOWER       10625

Figure IDO 10.  Market Profile for T-bonds, March 22, 2001.
After moving out of the y-z-A congestion the market struggled to
a top in F period.  From C period through the rest of the day
the market is congesting.


Short Covering Rally
A common phenomena in markets is the 'short covering rally'. Conceptually, imagine that many of the local members on the floor end the day short, rather than their more usual flat. After a sleepless night, they come to work eager to exit. As professionals, they know better than to exit all at once. Each one is looking for an exit that hurts the least. Some trade immediately and some wait.

The net is that the market sees demand over the period in which the members are buying in their shorts. This period is typically an hour or two. During the time the members are net buying, public interest is aroused. The public carries the price on up until they realize demand has evaporated. But this takes time. The market is not efficient. The TPO shape of a short covering rally is that of a capital P. Price runs up, stopping past the point where the excess demand is gone. Then there is a period of backing and filling, forming the loop of the P. Look at figure SC 10 again. Do you see the P?

Now we understand the overloading toward the upper prices in the Overlay for March 22 (figure IDO 8). The upside breakout was likely driven by a short covering rally. It was merely an accident that the rally occurred near the breakout of the Overlay. Now we have evidence for the failure of the trend. No wonder the Market Profile for March 22 did not fit in with the prior four days.

Additional Market Analysis from Short Covering Data
  TS11) The odds are that the Overlay tomorrow will pull back, i.e. 10708 is
       a local high.
  TS11) Unless new upside demand enters the market, the odds are that the
       Overlay tomorrow will pull back, i.e. 10708 is a local high.
  TS12) Understanding the probable cause of the rise on March 22 does
       not substantially change our strategy for March 23. Corroboration
       adds confidence in the original analysis.

Buy/Sell Confirmation of the Original Premise for Short Covering
We cannot look into the minds of the floor traders. But sometimes we can see what they have done. The Chicago Board of Trade releases an end-of-day Buy/Sell report. These data list the four classes of member's volume at each price and also how much of the activity is buying and how much is selling.

The Buy/Sell Report for March 21 is in figure IDO 11. For the Locals, CTI1, it lists the buying, selling and net for each price, and totals at the bottom. Floor traders indeed ended the day selling more than they bought by over 1000 contracts (2108 sides = 1054 equivalent contracts). Yes, on the 22nd, Locals probably came to work with latent demand and an itch to get out.

 
Updated on March 21, 2001    at 20:56 for US 01M Traded on March 21, 2001
Net Buy and Sell/Bracket Information
  ___________________________________________________________________________
  
Price  Volume  CTI1b  CTI1s  CTI1n   CTI2n  CTI3n  CTI4n   Half-hour Brackets
                                                           Z$ABCDEFGHIJKLM  
_____________________________________________________________________________
 
 10626    2010     53    644   -591    -35   -206    832  Z
 10625    1796    516    264    252     20     98   -370  Z
 10624     864    259    294    -35      5    -48     78  Z$
 10623    5834   1663   1575     88     26    278   -392  Z$
 10622    3914   1086   1143    -57    280     57   -280  Z$
 10621    4696   1776   1215    561    -70    -97   -394  Z$
 10620    6726   1974   2307   -333     66    -20    287  Z$
 10619    5198   1690   1439    251   -207    -41     -3  Z$
 10618    4188   1503   1333    170      4    -45   -129  $B
 10617    7388   2113   2736   -623   -263    322    564  $ABCGHJ
 10616   12732   3572   4117   -545    357   -166    354  ABCGHIJ
 10615   24336   6729   7848  -1119    458   -155    816  ABCGHIJK
 10614   22922   7033   7287   -254    345   -596    505  ABCFGHIJK
 10613   23874   6659   6593     66   -404    -95    433  ABCFGHIJK
 10612   13172   3902   3748    154    200   -426     72  ABCEFGHIJK
 10611   15886   4586   4862   -276    -14    -62    352  BCEFHIKLM
 10610   16566   4226   5195   -969     16   -232   1185  BCDEFHKLM
 10609   12748   3718   3643     75   -491    174    242  BCDEFKL
 10608   16040   4379   5010   -631    163   -211    679  CDEFKL
 10607   12728   4177   2897   1280   -339    355  -1296  CDEFL
 10606    1246    519     91    428      0      0   -428  CVL
  ___________________________________________________________________________
 
Grand   214864  62133  64241  -2108    117  -1116   3107
Total
 
Figure IDO 11.  Buy/Sell statistics for T-bonds (day), March 21, 2001.
CTI1, floor traders buy (b), sell (s) and net (n) volumes at each price
culminates in a net sell of 2108 sides (side = 1/2 contract).  The other
three classes of traders (CTI2 = Commercials, CTI3 = Off Floor Members and
CTI4 = Members Trading for the Public) show the net only.  Market Profile
symbols are Z = 07:20 to 07:30, $ = 07:30 to 08:00, A = 08:00 to 08:30.
B = 08:30 to 09:00 and so on.

Additional Market Analysis from Buy/Sell Data
  TS13) At the end of March 21 the Locals were net short 1054 contracts.
       Analysis for March 22 would suggest a potential net demand from the floor traders.


Commercial Capping
Paragraph 11) mentioned commercial capping; the process where the commercial members (CTI2) sell heavily at the top (or buy heavily at a bottom) to push price back to balance. March 22 T-bonds moved up on demand that was exhausted at the top. Did the commercials aid the price drop? In figure IDO 3 the CTI2 average volume for the day is 6.1 percent of the total. Going down the %CTI2 column we see the first two values of 14.7 and 8.7. Both are substantially larger than the 6.1. The path of price in F period (10:30 to 11:00) is down from 10708 to 10630. Indeed, it appears the commercials capped and drove price well back to the middle.

Additional Market Analysis from Commercial Capping Data
  TS14) Commercial selling at the top indicates the public does not have
       enough buying power to keep the upward trend in place. Again,
       commercial data confirms analyses TS4, TS5, TS6 and TS11.


Volatility Information
In the volatility discussion above, the breakout day has a volatility of 9.1. Since the long term average is in the 8's, 9.1 is just above the average, and hence does not imply trend. In this instance, volatility merely confirms the other conclusions. Another market situation may well find volatility much more important in helping unravel the market's message.

Conclusion
Auction Market Theory shows the structure and patterns of auction markets. It provides the tools to convert price to value and value change (Market Profile) and to market condition and risk (Overlay Demand Curve). The theory deconstructs a market from it's current condition. To look inside, so to speak. In addition to value, condition and risk, one can know which prices are accepted, which rejected. It is often possible know what the members are doing. Yes, markets can be understood. One has the salient facts and these facts lead to conclusions. We call these conclusions 'strategy'. Understanding ones markets imbues us with a confidence unfamiliar to most traders. When you know, and know that you know, confidence replaces fear.

A big advantage of understanding the market and setting up a strategy based on that understanding is that if a strategy turns out to be wrong it is very quickly apparent. The swing trader will know when a breakout fails. A swing trader will also have a strong clue when a trend falls into congestion--in hours, not days. Day traders, too, will usually know when market conditions change, say from balance to trend, and so can react accordingly.

The generality of the theory makes it a starting point for much new market research. One area, just being explored, is the measurement of reward to risk ratios. An early finding is that the Dow Jones Index has a reward to risk ratio about twice that of the SP Index. Another area is categorizing markets by trading opportunity. Now that the initial development is in place, and with a theory to lean on, there is a vast arena of practical market applications waiting to be discovered.


Unfinished Business
But wait, a lot of analysis went into developing a strategy for trading on March 23. How did it work out? The trading strategy TS1 - TS14 indicated a small liklihood of any further upward activity. No new demand entered. The market of March 23 confirmed the analysis. It is a classically 'dead' market. The events of March 22 took the wind out of the trader's sails. The day market on March 23 opened at 10610 and stayed within 10 ticks of that price all day long (figure IDO 12).


LENGTH OF FIRST PERIOD =           10 MINS

                 MARKET PROFILE* REPORT FOR 03 23 01
                          AND SEGMENTED AUCTION

COMMODITY  --  T-BOND (CBOT) DAY     JUN 01


   Price  Brackets               Segmented Auction
  10615 H                                            H            
  10614 BCH                        B  C              H            
  10613 BCFGH                      B  C        F  G |H            
  10612 BCFGH                      B  C        F |G |H |  |       
  10611 yzABCDFGHI       |y |z  A |B |C |D |  |F |G |H |I |  |  | 
  10610 yzABCDEFGI       >y |z |A |B |C |D |E |F >G >  >I |  |  | 
  10609 yzABCDEFI        |y >z >A >B >C |D |E |F |  |  |I |  |  | 
  10608 yzABCDEFIJK       y |z |A |B |C >D >E >F |  |  |I >J >K > 
  10607 zBCDEFIJK            z    |B |C |D |E |F |  |  |I |J |K | 
  10606 zBCDEJKL             z     B |C |D |E |  |  |  |  |J |K |L
  10605 BCDEJKL                    B  C |D |E |            J |K |L
  10604 BCDEJL                     B  C  D  E              J     L
  10603 BDEL                       B     D  E                    L
  10602 DEL                              D  E                    L
  10601 D                                D                        

TPO Analysis

CENTER       10608

VALUE AREA FROM TPOS
 UPPER       10611
 LOWER       10605

IDO 12.  Market Profile for T-bonds, March 23, 2001.
The market congested all day.
Recalling some of our analyses:
   TS4) Early congestion followed by massive later congestion on 3/22
       is indicative of a market confused about underlying demand
   TS5) A breakout tomorrow is unlikely because of the congestion picture
       in the last few hours of 3/22.
   TS6) This is a low priority market for the breakout swing trader
  TS11) Unless new upside demand enters the market, the odds are that the
       Overlay tomorrow will pull back, i.e. 10708 is a local high.
  TS12) Understanding the probable cause of the rise on March 22 does
       not substantially change our strategy for March 23. Corroboration
       adds confidence in the original analysis.

The Market Profile of March 23, in figure IDO 12, fits neatly into the Overlay of March 21. The breakout on March 22 is shown to be a transient, not due to any pemanent change in demand or value. Thus, the trader can totally discard the action of March 22. Trading action of March 22 did not alter the value picture of the market. Trading analysis for Monday, March 26 can be based on figure IDO 13, the Overlay of March 21!


TPO VOLUME OVERLAY AND PRICE ROTATION PROFILE
JUN 01 T-BOND (CBOT) DAY     
03 15 01 TO 03 21 01

 PRICE DYS  L/F ROT PROFILE *  TPOS TPO VOL OVERLAY *
 
 10629  1         6               1 X
 10628  1         6               1 X
 10627  1         6               1 X
 10626  2    9    69              4 XXXX
 10625  2    9    69              5 XXXXX
 10624  2    9    69              6 XXXXXX
 10623  2    9    69              6 XXXXXX
 10622  2    9    69              6 XXXXXX
 10621  2    9    69              6 XXXXXX
 10620  2    9    69              9 XXXXXXXXX
 10619  2    9    69              9 XXXXXXXXX
 10618  2    9    69             10 XXXXXXXXXX
 10617  3   59    569            13 XXXXXXXXXXXXX
 10616  3   59    569            13 XXXXXXXXXXXXX
 10615  3   59    569            15 XXXXXXXXXXXXXXX
 10614  4   59    5679           18 XXXXXXXXXXXXXXXXXX
 10613  5   59    56789          23 XXXXXXXXXXXXXXXXXXXXXXX
 10612  5   59    56789          25 XXXXXXXXXXXXXXXXXXXXXXXXX
 10611  5   59    56789          27 XXXXXXXXXXXXXXXXXXXXXXXXXXX
 10610  5   59    56789          30 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
 10609  5   59    56789          25 XXXXXXXXXXXXXXXXXXXXXXXXX
 10608  5   59    56789          27 XXXXXXXXXXXXXXXXXXXXXXXXXXX
 10607  5   59    56789          24 XXXXXXXXXXXXXXXXXXXXXXXX
 10606  5   59    56789          23 XXXXXXXXXXXXXXXXXXXXXXX
 10605  4   5     5678           15 XXXXXXXXXXXXXXX
 10604  3   5     578            12 XXXXXXXXXXXX
 10603  3   5     578            18 XXXXXXXXXXXXXXXXXX
 10602  3   5     578            19 XXXXXXXXXXXXXXXXXXX
 10601  3   5     578            19 XXXXXXXXXXXXXXXXXXX
 10600  3   5     578            18 XXXXXXXXXXXXXXXXXX
 10531  3   5     578            13 XXXXXXXXXXXXX
 10530  3   5     578            13 XXXXXXXXXXXXX
 10529  2   5     58             11 XXXXXXXXXXX
 10528  2   5     58             11 XXXXXXXXXXX
 10527  2   5     58              4 XXXX
 10526  1   5     5               2 XX
 10525  1   5     5               2 XX
 10524  1   5     5               1 X
 
Figure IDO 13.  Five Day Overlay Demand Curve for June 2001 T-bonds 
3/15 - 3/21. 


Part 2. Reward and Trading Models

Contents

Rewards
Initial Conditions
   Market Condition
   Balance
   Transition to Trend
   Trend
   Transition to Balance
Trading Models
Model Evaluation
   One Necessary Parameter
   Finding Trade Entry
   A Standard Model for Auction Markets
   The Basic Model
Conclusion


Rewards



Gains and losses are the natural result of trading. One's reward is is the cumulation, the sum of the trading results less the fixed costs of the endeavor. While the fixed costs are amenable to some control, by far the larger part of one's reward lies with the trading gains. This apparent fact leads most traders to concentrate on developing trading models, the second part of this section. But just jumping to model development is putting the cart before the horse. Missed in most trading research is the need to quantify what one might expect as a reward. Putting 'Reward' into perspective means putting one's expectations into some quantifiable form.

Any individual trade can be a winner or a loser. Experience of successful traders places the expected win ratio at 30 to 50 percent. If, in practice, one wins 50 percent of the time there is a 50 percent chance of one loser in a row, a 25 percent chance of two losers in a row and one-tenth of one percent chance of ten losers in a row (one in a thousand). Any month with 125 trades (about six per day) will likely have a string of seven losses somewhere in the period. If one trades regularly, a long string of losses at some point is a virtual certainty.

When a string of losses hits, the ordinary trader begins to have doubts. Not only is the overall reward in danger but one's methodology comes into question. The entire enterprise starts to crumble.

What is the solution to the natural behavior of the laws of chance in the trading enterprise? Reward preservation has several facets. These are:

    1. Trading should follow a well defined and researched model as
        discussed in the Trading Models section below.

    2. Any market traded should be understood from the probablilty
        of return
standpoint. Some markets offer substantial opportunity
        and some offer little. Opportunity is quantized as Potential,
        the maximum possible gain offered after trade entry. Risk is
        another factor. One desires to maximize the Potential/risk ratio.
        Potential and risk/reward are treated in Part 3, Standards.

    3. Diversification. All markets traverse periods of high activity
        and low activity. A once high opportunity market can become one of low
        opportunity. Or a high opportunity market may become overheated, with
        the accompanying risk generating a low reward to risk ratio. Clearly,
        one should be aware of the opportunity/reward/risk factors of all
        the markets in one's trading universe. Diversification studies of
        spreading one's trading risk among several markets all show the
        benefit of such practice.


Trading Models



Trading is a disequilibrium market activity. Price appreciation opportunities are found only where value is changing. The most potentially profitable situations are the ones where value change is quasi-monatonic, a trend moving in a fairly straight line. Capturing appreciation requires recognition of the inception of a trend and a realization of when the trend is over. Normally, the recognition and monitoring process is incorporated into a set of trading rules, a model. Specification of a completely defined model removes all flexibility from the trader. On the other hand, specifying no model at all makes it difficult to proceed with a research study (and orderly trading!). Successful traders seem to follow an 'expert-systems' process where there are some rules, with the additional overrides of market knowledge as needed.

We are guided here by the 'expert' concept; defining some parameters and rules, while leaving substantial room for decision to the trader. The aim is to have as a base, a bare bones model that is simple, and yet fundamentally sound. A "plain vanilla" model, while easy to understand, still provides the unequivocal entry point needed to measure a trade's Potential.

Trading is highly personalized. Some traders have a feel for the market. Others seek an organized model to guide their trading. These latter are in the vast majority. They can be identified as "non technical" traders since they will not, or can not develop their own models. Help is offered by the industry. A recent issue of Stocks and Commodities Magazine (July 2001) listed over 400 companies that sell trading products and data. Very few of the 400 (possibly only one) apply Auction Market Analysis. If the trader is to follow Auction Market techniques in trading, a model must be found that is driven by value change, not price change. Ideally, such a model can be utilized by both the non-technical and more advanced traders. Anyone who understands the rudiments of Auction Market Analysis could trade the basic model, while the more advanced traders could build on the basic model in developing their own personal methodology.

Initial Conditions
Profiting from the appreciation potential offered by changing markets requires a model that is active if value is changing and that gets out or stays out when value is constant and stable. The most reliable and lowest risk alert point is found when a market in balance breaks out. This is the only instance in which a change in the quasi-normal distribution can be pinpointed. Markets in which value is changing are often 'trending'. But 'trend' is a market condition that requires a time frame and 'size' in it's definition. That is, a market may be trending over the last three days, while on a longer timeframe (say 20 days) that same market is in balance. Or a market can be in a trend that is so small that the volatility hides it. The ideal trend trading model needs to be able to identify market condition, to recognize a trend start and to determine when the trend is over.

A valid model will most likely be time frame dependent. i.e. one sort of model for day trading, somewhat different rules for swing (multi-day) trading and yet another for the long timeframe (CAPM). The primary initial condition is that the market be in balance. The market selected should be one that has a recent history of offering opportunity.

    Market Condition
The trending phase of the market is just one of four conditions (balance, test, trend, test, balance, etc.). The form, the procession is fixed, although a particular phase, such as transition to trend, may be very, very short to the point of non-existence. The time spent in each condition varies according to the market situation (a balance may be 3 days, 7 days or three months).

       Balance
Balance is distinguished as a single price - volume distribution of the Overlay Demand Curve (Fig. 4) with the latest close inside the balance. Balance is a quasi-equilibrium state. End prices (limits) are known, i.e. alerts for end of balance or breakout from the single distribution. Value is known. Although a trend is often hard to discover, balance is easily recognizable. Risk is defined as a portion of the distribution analogous to one standard deviation (practically, a common approximation is one-eighth of the range of the balance).
       Transition to Trend
A transition from balance moves the market into a dis-equilibrium market condition, one with multiple distributions. A successful transition results in the start of a trend, i.e. a change in value. A failed transition, i.e. a false breakout, results in trade nullification.
       Trend
Trending is just price change reflecting changing demand. A trend is a quasi-orderly dis-equilibrium market condition. The path of a trend is generally not smooth, exhibiting runs and pauses. The trend's final pause marks the beginning of the transition back to balance; consolidation back into a single distribution.
       Transition to Balance
This transition is from a dis-equilibrium market condition back into (short term) quasi-equilibrium. Although the transition itself may be fast (it usually is not), several days must pass before the balance is apparent. As a balanced condition emerges, the first day or two of the new balance are hard to recognize because of volatility. After a few days, the Overlay process integrates out much of the volatility and the single distribution becomes apparent.

Trends are easier to recognize when viewed within the context of the four conditions, i.e. trend closely follows balance. Balance is easiest to define, since it is the phase where value is not changing. As balance evolves into transition, a measurable event, called breakout, occurs. Breakout is merely where price moves past the balance limit. This phase can more properly be called 'alert for trend', since it is a test of demand. If the breakout fails and no trend develops, market condition normally reverts back to balance. Theoretically, one might view the situation as the market breaking out and rapidly passing through transition to trend, trend and transition to balance. Or the failed breakout can be seen as simply that, an erroneous breakout that was not supported by a change in value. Either way, the net result is the same, a failed trade.

Trading Models
An assumption is that a valid trading model will be in tune with the market. That is, parameters developed will come from current market conditions (i.e. value), not from some predetermined measure (e.g. a ten day moving average). There are a multitude of trading models in the literature and offered by vendors. Traders want them. Most are based on 'technical analysis'. Some commercial models may be productive, but the evidence for success is scanty. A fundamental problem with 'technical models' is that they are based on fixed formulas and use price as the primary input variable.

Formula models suffer from the absence of 'expert' input. Many traders have data bases. If a formula is known, there is no limit of traders that can apply it. Traders will gravitate to the model and the zero sum characteristics of trading will work to minimize the gains. Adding costs makes the process negative-sum, and hence most will lose. Statistics on futures and equities day trading show that up to 90 percent of day traders lose.

Avoiding the pitfalls of formula trading is no mean task. In a zero-sum environment the returns are 50 percent to winners and 50 percent to losers. Costs ensure that less than half of the wager will be paid to winners. This statistic is inevitable in short term trading. To be profitable one has to somehow be in the winning group--either winning a high percentage of trades or by making one's winning trades significantly larger than ones losers, or both. Appreciation accrues only when value is changing. A competent model will be highly attuned to changing value, not necessarily changing price (see figure IDO 7 and figure IDO 8 and discussion). It is apparent that in the competition for trading return the edge goes to the trader who understands markets.

Model Evaluation
The ideal for any model evaluation is to compare it to a standard. Long term growth of the economy is reflected in market indexes. Over the longer term of ten years or so, it is possible for up to 100 percent of investors to win. Market indexes grow. CAPM portfolio returns can be measured against an index. No index exists for AMT. In the same time frame, one trader may do well while another may lose. There is no underlying index because there is no agreement on how to catalog returns in the trading environment. In the period of a day, a floor trader might make twenty trades, averaging 2 ticks gain per trade. A (public) day trader might make three trades, averaging 10 ticks per trade. Another day trader might make only one trade for 15 ticks. Who did better? It is hard to tell. The three are not really comparable since they took different risks.

Yet, the trading arena can be good (offer large opportunity for gain) or bad (low opportunity). How does one know good opportunity from bad? The key is in the Potential, as developed more fully in Part 3 on Standards. In a balance, as IDO 8, one knows the range (10706 to 10528) and the Octant risk of 5 ticks. Risk derives from volatility. Further, risk and potential reward are proportional (in general). A five point risk translates to $156. Trading for a potential $156 reward is reasonable. If the market volatility were low and risk is 2 ticks, the potential reward is $62. Considering costs of some $30 and the possibility of loss as well, the average trader would decline the trade. If the trader used a particular model over a period of time, there would be a track record. With experience with the model, one could know which market conditions are good. But the problem remains; how would one rank this particular model against other models? Standards are needed.

   One Necessary Parameter
An absolute evaluation of any day trading model can be made by defining a single prior condition. That condition is the entry price. Assume that all models enter at the same price and a trade is not allowed to extend past the exchange close. Then during the trade there is one best point to exit. The only problem is locating the entry.

   Finding Trade Entry
Specifying trade entry can be accomplished many ways. We will explore and choose a tested Auction Market methodology using the balanced Overlays. As before, we specify a breakout from the balance to be an alert for trend start. In this case that breakout price becomes the entry. No trading rules are defined for the initial risk, the management of the trade throughout the day or for the exit. A trader will make all the management decisions. Obviously, different traders will make different decisions within the rules. The standard for this trade is simply the point of highest open trade equity during the period from entry to close. This standard is called the Potential. To paraphrase, once trade entry is attained the Potential becomes fixed, but appreciation from trading is not.

   A Standard Model for Auction Markets
Requirements of a 'standard' model are 1) information on the balanced markets within a set of all markets in the defined arena (futures, securities, etc.), and the posted breakout price (s) from the balance. Possibly many models meet these requirements. We will discuss one that has been published, one that has been used by many traders as a starting point in learning Auction Market Analysis. This is the Basic Model in the Trader Control Package (TCP) of CISCO Futures (ref. 6). Requirement 1) is met by a list of balanced markets for the day: two such sources are the Bracket Screen and the Advice Engine Report, both CISCO products. Both lists are essentially just compilations of Overlay parameters.

   The Basic Model
The Basic model is included in the CISCO training course. A training tool, Basic Model comes in several varieties; for day trading, swing trading and for responsive trading of balanced markets (non-breakouts). Rules for the most elementary form of the breakout day trading Basic Model are:
(1) limit trading to balanced markets only
(2) go long on a breakout of 1 tick above the Upper Limit
(3) go short on a breakout of 1 tick below the Lower Limit
(4) use a trailing stop of one Octant
(5) if not stopped out during the day, exit on the exchange close.

Only item (4) violates the freedom of action post entry discussed in Model Evaluation. A stop-loss risk limit in the courses is a pedagogical tool for teaching risk control. For the purposes of this discussion, item (4) is not necessary. Practically, item (4) is useful as a starting point in many research studies, since the risk is tied to the value range.

Conclusion
Part 2 presents a simple model with rules that are easy to implement. With the unambiguous entry provided, Potential can be found for a wide varitey of markets. The next section on 'Standards of Comparison', will turn to the development of trading efficiency measurement using the Potential found with the Basic Model.



Part 3. Standards of Comparison


Contents

Standards
Trade Identification. Advice Engine Report
Experimental Standard
Potential
Models
Locating 'Best Trading Risk'
   Figure IDO 14. Advice Engine Report June 13, 2001
   Figure IDO 15. Select Table June 1 to June 1 15, 2001
Reward to Risk Ratio
   Figure IDO 16. SP Reward/Risk Study November 6, 2000 to June 26, 2001

Standards
Non-equilibrium day-trading for appreciation is much less organized than long term investing where returns can be compared to average market movements (indexes). Day trading seeks out short term opportunities. There is no over-all order in the short term, no index for comparison. An absolute test, the test of ruin, does exist. But what of the trader who is successful at least part of the time? How is that success rated? Could that trader have done better? If so, how much better? There are two aspects to the rating question for traders. First, how well does the trader locate opportunity? Second, once opportunity is found, how well is it handled? Both questions can be answered within the context of Auction Market Theory (AMT). Question one has a solution in the Advice Engine Report discussed in this section, that is, Advice Engine locates trading opportunities. The answer to question two hinges on the Potential. Potential permits comparisons: how well did Basic Model do compared to the Potential? How well did a trader's model compare? Now the researcher can have an absolute to measure models and performance against.

Trade Identification. Advice Engine Report
Short term breakout trading success comes from finding trends. Locating a trend in progress and trading it is a high risk process. Trends are of uncertain length and vary in intensity. Their price - volume distribution is changing and thus is hard to catalog. Risk is uncertain, but the increased volatility accompanying a trend insures high risk. Lower risk trading opportunities are better found in the pre-breakout market. For futures, one source of trading candidates is found in the Advice Engine Report. Essentially the same approach can be used in equities and other auction markets.

A balanced market contains the distribution value based market parameters that identifies breakout prices prior to breakout. Risk is lower because 1) market condition is in equilibrium so the distribution is stable and 2) volatility is low. A breakout is a high probability, low risk precursor of the start of a trend. When a trend does not develop from a breakout, the loss is limited to the low risk of the balanced quasi-equilibrium distribution, not the high risk of a trending, thoroughly non-equilibrium distribution. When a trend does develop, the trade offers the advantage of early entry. The trade is then well positioned to take advantage of the appreciation offered by the market.

Experimental Standard
Measuring the effectiveness of a trading procedure or model is more complicated. The market situation in which the model operates is not in equilibrium. This makes finding a closed mathematical solution of the optimum unlikely. The trading function is different for each trader and is fundamentally unknowable in general. Yet, an experimental standard can be developed. The primary condition is only that a trade be initiated at the breakout point defined by AMT. Other subsidiary conditions relating to time can be applied for special cases, but for the basic standard for day trading, we specify that all trades not otherwise closed out will be terminated at the close of exchange trading for the day. Conditions, then, are two: enter on the AMT breakout, exit no later than the close for the day. No information is needed on the explicit model followed by the trader.

Potential
A trade can be either profitable or unprofitable. The best possible result comes when the trade is not stopped out but exits on a close that is the highest post entry price (if a long trade) or the lowest post entry price (if a short trade). Normally, the best open-trade price occurs not at the close, but at some intermediate time after initiating the trade. The best open-trade price is the Potential of that trade. Potential is always positive or zero, while the actual trade may win or lose.

Potential measures a trade's maximum possible return. Potential plays a role akin to the index in CAPM. It is a quantity against which the