Article2003

Options Trading and the CAPM

55 citations0/0 files storedReview of Financial Studies

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Financial Markets and Investment Strategies Stochastic processes and financial applications Financial Risk and Volatility Modeling

Abstract

This article studies equilibrium asset pricing when agents face nonnegative wealth constraints. In the presence of these constraints it is shown that options on the market portfolio are nonredundant securities and the economy's pricing kernel is a function of both the market portfolio and the nonredundant options. This implies that the options should be useful for explaining risky asset returns. To test the theory, a model is derived in which the expected excess return on any risky asset is linearly related (via a collection of betas) to the expected excess return on the market portfolio and to the expected excess returns on the nonredundant options. The empirical results indicate that the returns on traded index options are relevant for explaining the returns on risky asset portfolios.

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1973The Pricing of Options and Corporate Liabilities 1993Common risk factors in the returns on stocks and bonds 1964CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK*1965The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets 1975THE VALUATION OF RISK ASSETS AND THE SELECTION OF RISKY INVESTMENTS IN STOCK PORTFOLIOS AND CAPITAL BUDGETS**This paper is another in a series of interrelated theoretical and statistical studies of corporate financial and investment policies being made under grants from the Rockefeller Foundation, and more recently the Ford Foundation, to the Harvard Business School. The generous support for this work is most gratefully acknowledged. The author is also much indebted to his colleagues Professors Bishop, Christenson, Kahr, Raiffa, and (especially) Schlaifer, for extensive discussion and commentary on an earlier draft of this paper; but responsibility for any errors or imperfections remains strictly his own.[Professor Sharpe's paper, “Capital Asset Prices: A Theory of Market Equilibrium Under Conditions of Risk” (Journal of Finance, September 1964) appeared after this paper was in final form and on its way to the printers. My first section, which parallels the first half of his paper (with corresponding conclusions), sets the algebraic framework for sections II, III and VI, (which have no counterpart in his paper) and for section IV on the equilibrium prices of risk assets, concerning which our results differ significantly for reasons which will be explored elsewhere. Sharpe does not take up the capital budgeting problem developed in section V below.]1996Multifactor Explanations of Asset Pricing Anomalies 1995Size and Book-to-Market Factors in Earnings and Returns 1972

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