Article1971

Capital Market Equilibrium with Divergent Borrowing and Lending Rates

148 citations0/0 files storedJournal of Financial and Quantitative Analysis

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Financial Markets and Investment Strategies Stochastic processes and financial applications Economic theories and models

Abstract

The Capital Asset Pricing Model of Sharpe [10, 1964], Lintner [8, 1965], and Mossin [9, 1966] showed how it was possible to derive under fairly stringent assumptions the conditions for equilibrium in a market for risky assets. Recent work has been directed at relaxing these assumptions, and this paper extends the progress made thus far by deriving some properties of capital market equilibrium when investors are faced with divergent borrowing and lending rates and when these rates may vary among investors.

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1964CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK*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.]1966Equilibrium in a Capital Asset Market 1973Studies in the Theory of Capital Markets.1969PORTFOLIO ANALYSIS, MARKET EQUILIBRIUM AND CORPORATION FINANCE 1970Measurement of Portfolio Performance Under Uncertainty

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