Testing Rationality in the Point Spread Betting Market

This paper presents empirical tests of market rationality using data from the point spread betting market on National Football League games. Data from this market avoid many common pitfalls of tests of rationality in conventional financial markets. The authors test for rationality with two types of tests, statistical and economic. Results of the tests reveal that the statistical tests cannot reject market rationality while the economic tests do reject market rationality. MARKET RATIONALITY CAN BE empirically examined with either pure statistical tests or direct economic tests. Statistical tests look at statistical properties of markets, such as price correlations. Economic tests attempt to detect unexploited profit opportunities. This paper compares the results of these two types of rationality tests with data from the point spread betting market on National Football League (NFL) games. We conclude that the statistical tests are too weak to reject rationality in a market where irrationality appears to exist. Our results are strikingly consistent with those of Summers [26], who simulated a model of stock prices incorporating nonrational expectations and then showed that standard statistical tests are too weak to detect the absence of rationally formed expectations. Summers employed simulation because market rationality is difficult to test directly in conventional financial markets: the ongoing nature of securities markets means that there exists no point at which an objective fundamental value can be observed and compared with actual prices.' In contrast, the point spread market offers an objective, though uncertain, game outcome to decide the end-of-horizon payoff. Moreover, once a bet is placed in these markets, the impact of subsequent betting does not affect the odds on the placed bet (unlike pari-mutuel betting). Because of this elementary market

[1]  Patterns of winning and losing : effects on approach and avoidance by friends and enemies , 1977 .

[2]  Frederic S. Mishkin,et al.  An Integrated View of Tests of Rationality, Market Efficiency, and the Short-Run Neutrality of Monetary Policy , 1981 .

[3]  Robert L. Winkler,et al.  OPTIMAL SPECULATION AGAINST AN EFFICIENT MARKET , 1976 .

[4]  Joseph Yagil,et al.  The efficiency of certain speculative markets and gambler behavior , 1985 .

[5]  C. Granger,et al.  Forecasting Economic Time Series. , 1988 .

[6]  Elizabeth C. Hirschman,et al.  Judgment under Uncertainty: Heuristics and Biases , 1974, Science.

[7]  W. Bagehot The Only Game in Town , 1971 .

[8]  V. Smith ECONOMIC THEORY OF WAGER MARKETS , 1971 .

[9]  L. D. Pankoff,et al.  Market Efficiency and Football Betting , 1968 .

[10]  J. Gandar,et al.  Beating the Spread: Testing the Efficiency of the Gambling Market for National Football League Games , 1985, Journal of Political Economy.

[11]  Stephen Figlewski,et al.  Market "Efficiency" in a Market with Heterogeneous Information , 1978, Journal of Political Economy.

[12]  Robert C. Merton,et al.  Dividend variability and variance bounds tests for the rationality of stock market prices , 1984 .

[13]  L. Summers Does the Stock Market Rationally Reflect Fundamental Values , 1986 .

[14]  Roger C. Vergin,et al.  Winning Strategies for Wagering on National Football League Games , 1978 .

[15]  Peter Tryfos,et al.  The Profitability of Wagering on NFL Games , 1984 .

[16]  Shlomo Maital,et al.  What Do Economists Know? An Empirical Study of Experts' Expectations , 1981 .

[17]  J. Muth Rational Expectations and the Theory of Price Movements , 1961 .

[18]  Robert J. Shiller,et al.  The Marsh-Merton Model of Managers' Smoothing of Dividends , 1986 .

[19]  R. Thaler,et al.  Further Evidence On Investor Overreaction and Stock Market Seasonality , 1987 .

[20]  Frederic S. Mishkin Are Market Forecasts Rational? , 1980 .

[21]  Robert L. Winkler,et al.  Probabilistic Prediction: Some Experimental Results , 1971 .

[22]  G. S. Sanders An integration of shifts toward risk and caution in gambling situations , 1978 .

[23]  M. Lovell,et al.  Tests of the Rational Expectations Hypothesis , 1986 .

[24]  Thomas Gilovich,et al.  Biased evaluation and persistence in gambling. , 1983 .

[25]  E. Mills,et al.  The Theory of Inventory Decisions , 1957 .

[26]  Jack L. Treynor Market Efficiency and the Bean Jar Experiment , 1987 .

[27]  R. Shiller Stock Prices and Social Dynamics , 1984 .

[28]  R. Quandt Betting and Equilibrium , 1986 .

[29]  L. Seidman Equity and Tradeoffs in a Tax-Based Incomes Policy , 1981 .