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Tracking Asset Volatility By Means of a Bayesian Switching Regression

Published online by Cambridge University Press:  06 April 2009

Extract

It is often desirable to know whether or not a risky asset's beta coefficient has changed and, if so, at what point in time the change occurred. For example, this knowledge is of obvious importance to beta-using security analysts and portfolio managers. As another example, a given theory may imply that a particular firm's beta should have changed at different points in time. Investigators may want to test such a hypothesis. Furthermore, tests are frequently performed on the effects of events on residuals of the market model, tests requiring the assumption of beta stability. For these, and possibly other reasons, it is useful to be able to detect that a change in beta did, in fact, take place as well as, in some instances, identifying the point in time at which the change took place.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1982

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References

REFERENCES

[1]Aber, John W.Beta Coefficients and Models of Security Returns. Lexington, MA: D. C. Heath and Co. (1973).Google Scholar
[2]Blattberg, Robert C., and Gonedes, Nicholas J.. “A Comparison of the Stable and Student Distributions as Statistical Models for Stock Prices.” Journal of Business, Vol. 47 (04 1974), pp. 244280.CrossRefGoogle Scholar
[3]Blume, Marshall. “Betas and Their Regressions Tendencies.” Journal of Finance, Vol. 30 (06 1975), pp. 785795.Google Scholar
[4]Brenner, Menachem. “On the Stability of the Distribution of the Market Component in Stock Price Changes.” Journal of Financial and Quantitative Analysis, Vol. 9 (12 1974), pp. 945961.Google Scholar
[5]Brown, Robert L.; Durbin, James; and Evans, J. M.. “Techniques for Testing the Constancy of Regression Relationships over Time.” Journal of the Royal Statistical Society, Series B, Vol. 37, No. 2 (1975), pp. 149163.Google Scholar
[6]Campanella, Frank B.The Measurement of Portfolio Bisk Exposure. Lexington, MA: D. C. Heath and Co. (1972).Google Scholar
[7]Collins, D. W., and Simonds, R. R.. “SEC Line-of-Business Disclosure and Market Risk Adjustments.” Journal of Accounting Research, Vol. 17, No. 2 (Autumn 1979), pp. 352383.Google Scholar
[8]Cooley, Thomas F., and Prescott, Edward C.. “Estimation in the Presence of Stochastic Parameter Variation.” Econometrica, Vol. 44 (1976), pp. 167184.CrossRefGoogle Scholar
[9]Fama, Eugene F.Foundations of Finance. NY: Basic Books, Inc. (1976).Google Scholar
[10]Farley, John U. and Hinich, Melvin J.. “A Test for a Shifting Slope Coefficient in a Linear Model.” Journal of the American Statistical Association, Vol. 65 (1970), pp. 13201329.CrossRefGoogle Scholar
[11]Farley, John U.; Hinich, Melvin J.; and McGuire, Timothy W.. “Some Comparison of Tests for a Shift in the Slopes of Multivariate Linear Time Series Model.” Journal of Econometrics, Vol. 3 (1975), pp. 370379.Google Scholar
[12]Ferreira, Pedro E.A Bayesian Analysis of a Switching Regression Model: Known Number of Regimes.” Journal of the American Statistical Association, Vol. 70 (1975), PP. 370–379.Google Scholar
[13]Garbade, Kenneth. “Two Methods for Examining the Stability of Regression Coefficients.” Journal of the American Statistical Association, Vol. 72 (1977), PP. 5463.Google Scholar
[14]Gonedes, Nicholas J.Evidence on the Information Content of Accounting Numbers: Accounting-Based and Market-Based Estimates of Systematic Risk.” Journal of Financial and Quantitative Analysis, Vol. 8 (06 1973), pp. 407444.Google Scholar
[15]Hamada, R. S.The Effect of the Firm's Capital Structure on the Systematic Risk of Common Stocks.” Journal of Finance, Vol. 27 (05 1972), pp. 435452.CrossRefGoogle Scholar
[16]Hill, Ned C., and Stone, Bernell K.. “Accounting Betas, Systematic Operating Risk, and Financial Leverage: A Risk-Composition Approach to the Determinants of Systematic Risk.” Journal of Financial and Quantitative Analysis, Vol. 15, No. 3 (09 1980), pp. 595637.Google Scholar
[17]Kon, Stanley J., and Jen, Frank C.. “Estimation of Time-Varying Systematic Risk and Performance for Mutual Fund Portfolios: An Application of Switching Regression.” Journal of Finance, Vol. 33 (1978), pp. 457476.Google Scholar
[18]Leavy, Robert A.On the Short-Term Stationarity of Beta Coefficients.” Financial Analysts Journal, Vol. 27 (1112 1971), pp 5562.Google Scholar
[19]Malkiel, Burton G.Equity Yields and Structure of Share Prices.” The American Economic Review, Vol. 53, No. 5 (12 1963), pp. 10041031.Google Scholar
[20]Pettit, R. Richardson, and Westerfield, Randolph. “Using the Capital Asset Pricing Model and the Market Model to Predict Security Returns.” Journal of Financial and Quantitative Analysis, Vol. 9 (09 1974), pp. 579605.Google Scholar
[21]Quandt, Richard E.The Estimation of the Parameters of a Linlear Regression System Obeying Two Separate Regimes.” Journal of the American Statistical Association, Vol. 53 (1958), pp. 873880.Google Scholar
[22]Quandt, Richard E.. “Tests of the Hypothesis that a Linear Regression System Obeys Two Separate Regimes.” Journal of the American Statistical Association, Vol. 55 (1960), pp. 324330.Google Scholar
[23]Quandt, Richard E.A New Approach to Estimating Switching Regressions.” Journal of the American Statistical Association, Vol. 67(1972), pp. 306310.CrossRefGoogle Scholar
[24]Rosenberg, B., and McKibben, W.. “The Prediction of Systematic and Specific Risk in Common Stock.” Journal of Financial and Quantitative Analysis, Vol. 8 (03 1973), pp 317334.Google Scholar
[25]Rubinstein, M.A Mean-Variance Synthesis of Corporate FinancialTheory.” Journal of Finance, Vol. 28 (03 1973), pp 167181.Google Scholar
[26]Sarris, A. H.Kalman Filter Models: A Bayesian Approach to Estimation of Time-Varying Regression Coefficients.” Annals of Economics and Social Measurement, Vol. 2, No. 4 (1973), pp 501523.Google Scholar
[27]Schwarz, Gideon. “Estimating the Dimension of a Model.” Annals of Statistics, Vol. 6, No. 2 (1978), pp. 461464.Google Scholar
[28]Swamy, P.A.V.B., and Mehta, J. S.. “Bayesian and Non-Bayesian Analysis of Switching Regressions and of Random Coefficient Regression Methods.” Journal of the American Statistical Association, Vol. 70 (1975), pp 593602.Google Scholar
[29]Thompson, D. J.Sources of Systematic Risk in Common Stocks.” Journal of Business, Vol. 49 (04 1976), pp. 173188.Google Scholar
[30]Zellner, A.An Introduction to Bayesian Inference in Econometrics. NY: John Wiley and Sons (1971).Google Scholar