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Tests and Properties of Variance Ratios in Microstructure Studies

Published online by Cambridge University Press:  06 April 2009

Tavy Ronen
Tavy Ronen
Affiliation:
Rutgers University, Faculty of Management, 81 New Street, Newark, NJ 07102.
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Abstract

The properties of variance ratio tests across trading and non-trading periods are examined using the generalized method of moments. For the case of opening and closing return variances, the joint tests indicate that the null hypothesis that the variance of opening returns equals the variance of closing returns cannot be rejected for a sample of New York Stock Exchange stocks. This example demonstrates the importance of accounting for overlapping observations and cross correlation in such frameworks. The conventional average (across assets) variance ratio test is shown to be biased against the null in small samples. Specifically, when non-zero correlations are ignored, previous tests have the wrong asymptotic size. This bias persists in other frameworks as well: although this study confirms earlier findings that the return variance during non-trading periods is significantly lower than during trading periods, test statistics that ignore correlations are shown to be inflated.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 32 , Issue 2 , June 1997 , pp. 183 - 204
Copyright
Copyright © School of Business Administration, University of Washington 1997

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References

Amihud, Y., and Mendelson, H.. “Trading Mechanisms and Stock Returns: AnEmpirical Investigation.” Journal of Finance, 42 (1987), 533–553.CrossRefGoogle Scholar
Amihud, Y., and Mendelson, H.. “Market Microstructure and Price Discovery on the Tokyo Stock Exchange.” Japan and the World Economy, 1 (1989), 341–370.Google Scholar
Amihud, Y., and Mendelson, H.. “Volatility and Trading: Evidence from the Japanese Stock Market.” Journal of Finance, 46 (1990), 1765–1789.CrossRefGoogle Scholar
Amihud, Y.; Mendelson, H.; and Murgia, M.. “Stock Market Microstructure and Return Volatility: Evidence from Italy.” Journal of Banking and Finance, 14 (1990), 423–440.Google Scholar
Berndt, E. R., and Savin, N. E.. “Conflict among Criteria for Testing Hypotheses in the Multivariate Linear Regression Model.” Econometrica, 45 (1977), 1263–1268.Google Scholar
Breusch, T. S. “Conflict among Criteria for Testing Hypotheses: Extensions and Comments.” Econometrica, 47 (1979), 203–207.CrossRefGoogle Scholar
Cao, C., and Choe, H.. “Evolution of Transitory Volatility over the Week.” Pacific-Basin Finance Journal, 1 (1994), 175–188.Google Scholar
Cao, C.; Choe, H.; and Hatheway, F.. “What is Special about the Opening: Evidence from Nasdaq.” Working Paper, Pennsylvania State Univ. (1994).Google Scholar
Choe, H., and Shin, H.. “An Analysis of Interday and Intraday Return Volatility: Evidence from the Korea Stock Exchange.” Working Paper, Pennsylvania State Univ. (1993).CrossRefGoogle Scholar
Dow, J., and Gorton, G.. “Trading, Communication and the Response of Price to New Information.” The Economic Journal, 103 (1993), 639–646.Google Scholar
Elton, E., and Gruber, M.. Modern Portfolio Theory and Investment Analysis, New York, NY: John Wiley and Sons (1992).Google Scholar
Engle, R. F. “Wald, Likelihood Ratio, and Lagrange Multiplier Tests in Econometrics.” In Handbook of Econometrics, Vol II, Griliches, Z. and Intriligator, M. D., eds. Amsterdam, North-Holland: Elsevier Science Publishers BV (1984).Google Scholar
Fama, E., and French, K.. “The Cross-Section of Expected Returns.” Journal of Finance, 47 (1992), 427–465.Google Scholar
Faust, J. “When are Variance Ratio Tests for Serial Dependence Optimal?” Econometrica, 60 (1992), 1215–1226.CrossRefGoogle Scholar
Forster, M. M., and George, T. J.. “Volatility, Trading Mechanisms and International Cross-Listing.” Working Paper, Northwestern Univ. (1993).Google Scholar
French, K. “Trading Mechanisms and Value Discovery: Cross National Evidence and Policy Implications, A Comment.” Carnegie-Rochester Conference Series on Public Policy, 34 (1991), 131–134.CrossRefGoogle Scholar
French, K., and Roll, R.. “Stock Return Variances, the Arrival of Information and the Reaction of Traders.” Journal of Financial Economics, 17 (1986), 5–26.CrossRefGoogle Scholar
George, T., and Hwang, C.. “Transitory Price Changes and Price-Limit Rules: Evidence from the Tokyo Stock Exchange.” Journal of Financial and Quantitative Analysis, 30 (1995), 313–327.Google Scholar
Gerety, M., and Mulherin, J.. “Price Formation on Stock Exchanges: The Evolution of Trading within the Day.” Review of Financial Studies, 7 (1994), 609–629.CrossRefGoogle Scholar
Glosten, L., and Milgrom, P.. “Bid, Ask and Transaction Prices in a Specialist Market with Heterogeneously Informed Traders.” Journal of Financial Economics, 14 (1985), 71–100.CrossRefGoogle Scholar
Hansen, L. “Large Sample Properties of Generalized Method of Moment Estimators.” Econometrica, 50 (1982), 1029–1054.CrossRefGoogle Scholar
Hansen, L., and Singleton, K.. “Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models.” Econometrica, 50 (1982), 1269–1286.CrossRefGoogle Scholar
Hasbrouck, J. “Assessing the Quality of a Security Market: A New Approach to Transaction-Cost Measurement.” Review of Financial Studies, 6 (1993), 191–212.Google Scholar
Jones, C., and Kaul, G.. “On the Use of Variance Ratios.” Working Paper, Univ. of Michigan (1994).Google Scholar
Jones, C.; Kaul, G.; and Lipson, M.. “Information, Trading, and Volatility.” Journal of Financial Economics, 36 (1994), 127–154.Google Scholar
Leach, C., and Madhavan, A.. “Price Experimentation and Security Market Structure.” Review of Financial Studies, 6 (1993), 375–404.CrossRefGoogle Scholar
Lo, A., and MacKinlay, C.. “The Size and Power of the Variance Ratio Test in Finite Samples, A Monte Carlo Investigation.” Journal of Econometrics, 40 (1989), 203–238.Google Scholar
Madhavan, A. “Trading Mechanisms in Securities Markets.” Journal of Finance, 47 (1992), 607–641.Google Scholar
Masulis, R., and Ng, V.. “Stock Return Dynamics over Inter-Day Trading and Nontrading Periods in the London Stock Market.” Working Paper, Vanderbilt Univ. (1991).Google Scholar
Merton, R. “On Estimating the Expected Return on the Market: An Exploratory Investigation.” Journal of Financial Economics, 8 (1980), 323–361.CrossRefGoogle Scholar
Oldfield, G., and Rogalski, R.. “A Theory of Common Stock Returns over Trading and Non-Trading Periods.” Journal of Finance, 35 (1980), 729–751.Google Scholar
Pallmann, N. “Market Structure and Volatility in Auction Markets: An Empirical Study Using Intradaily Returns from the Frankfurt Bourse.” Working Paper, New York Univ. (1992).Google Scholar
Poterba, J., and Summers, L.. “Mean Reversion in Stock Prices: Evidence and Implications.” Journal of Financial Economics, 22 (1988), 27–59.CrossRefGoogle Scholar
Richardson, M., and Smith, T.. “On Tests for Serial Dependency of Returns.” Working Paper, Duke Univ. (1988).Google Scholar
Richardson, M., and Smith, T.. “Tests of Financial Models in the Presence of Overlapping Observations.” Review of Financial Studies, 4 (1991), 227–254.Google Scholar
Richardson, M., and Smith, T.. “Robust Power Calculations withTests for Serial Correlation in Stock Returns.” Working Paper, Univ. of Pennsylvania (1993).Google Scholar
Romer, D. “Rational Asset Price Movements without News.” American Economic Review, 83 (1993), 1112–1130.Google Scholar
Ronen, T. “Observable Consequences of Differences in Trading Structures: The Size and Power of 24 Hour Variance Ratio Tests.” Working Paper, New York Univ. (1994).Google Scholar
Savin, N. E. “Conflict among Testing Procedures in a Linear Regression Model with Autoregressive Disturbances.” Econometrica, 44 (1976), 1303–1315.Google Scholar
Schwartz, R. A.Equity Markets: Structure, Trading, and Performance. New York, NY: Harper and Row (1986).Google Scholar
Schwartz, R. A., and Whitcomb, D.. “The Time-Variance Relationship: Evidence on Autocorrelation in Common Stock Returns.” Journal of Finance, 32 (1977), 41–55.Google Scholar
Schwert, W. “Why Does Stock Market Volatility Change over Time?” Journal of Finance, 44 (1989) 1115–1154.CrossRefGoogle Scholar
Smith, T. “Econometrics of Financial Models and Market Microstructure Effects.” Journal of Financial and Quantitative Analysis, 29 (1994), 519–540.Google Scholar
Stoll, H., and Whaley, R., “Stock Market Structure and Volatility.” Review of Financial Studies, 3 (1990), 37–71.Google Scholar