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Maximum Likelihood Estimation of Generalized Ito Processes with Discretely Sampled Data

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  • Andrew W. Lo

Abstract

In this paper, it is shown that risk aversion plays a critical role in the determination of the equilibrium stock prices and their variability in a one-asset pure exchange economy. Specifically, it is argued that the variance of equilibrium stock prices is a strictly increasing convex function of the Arrow-Pratt measure of relative risk aversion, g, if g is greater than one. Furthermore, it is shown that the inequality underlying variance bounds tests can be reversed in our model with risk aversion. Therefore, it is concluded that the high volatility of stock prices relative to dividends may imply a rejection of risk neutrality rather than a failure of stock market efficiency.

Suggested Citation

  • Andrew W. Lo, "undated". "Maximum Likelihood Estimation of Generalized Ito Processes with Discretely Sampled Data," Rodney L. White Center for Financial Research Working Papers 15-86, Wharton School Rodney L. White Center for Financial Research.
  • Handle: RePEc:fth:pennfi:15-86
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    1. Harrison, J Michael & Pitbladdo, Richard & Schaefer, Stephen M, 1984. "Continuous Price Processes in Frictionless Markets Have Infinite Variation," The Journal of Business, University of Chicago Press, vol. 57(3), pages 353-365, July.
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    10. Abel, Andrew B, 1983. "Optimal Investment under Uncertainty," American Economic Review, American Economic Association, vol. 73(1), pages 228-233, March.
    11. Ball, Clifford A & Torous, Walter N, 1985. " On Jumps in Common Stock Prices and Their Impact on Call Option Pricing," Journal of Finance, American Finance Association, vol. 40(1), pages 155-173, March.
    12. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "An Intertemporal General Equilibrium Model of Asset Prices," Econometrica, Econometric Society, vol. 53(2), pages 363-384, March.
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