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Would the CAPM Hold in a Risk-Indifferent World?

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  • Silviu Iulian Alb

Abstract

The Relative Value Theory predicts equilibrium prices in a world in which time value of money is unique, and investors are risk-indifferent and only care about maximizing cumulative returns. This paper shows that RVT’s equilibrium prices determine intrinsic expected returns that satisfy the CAPM equation. The intrinsic return of the risk-free asset is equal to the harmonic mean of the market’s intrinsic returns (intrinsic returns are returns from equilibrium price to underlying intrinsic values). Asset specific betas can be explained by simply assuming scenario probabilities fluctuate in time. Market price return betas are approximately equal to intrinsic return betas. Market price expected returns do not satisfy the CAPM equation but will appear linear in the market premium, with the risk-free rate as intercept. The above results significantly strengthen RVT’s ability to explain market prices’ behavior. Recasting most finance theory results into an RVT framework appears possible and beneficial.

Suggested Citation

  • Silviu Iulian Alb, 2004. "Would the CAPM Hold in a Risk-Indifferent World?," Finance 0402020, EconWPA.
  • Handle: RePEc:wpa:wuwpfi:0402020 Note: Type of Document - Word97 document; prepared on Windows98;
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    References listed on IDEAS

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    1. Fabozzi, Frank J & Francis, Jack C, 1979. "Mutual Fund Systematic Risk for Bull and Bear Markets: An Empirical Examination," Journal of Finance, American Finance Association, vol. 34(5), pages 1243-1250, December.
    2. Carhart, Mark M, 1997. " On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    3. Grinblatt, Mark & Titman, Sheridan & Wermers, Russ, 1995. "Momentum Investment Strategies, Portfolio Performance, and Herding: A Study of Mutual Fund Behavior," American Economic Review, American Economic Association, vol. 85(5), pages 1088-1105, December.
    4. Stephen J. Brown, 2001. "Careers and Survival: Competition and Risk in the Hedge Fund and CTA Industry," Journal of Finance, American Finance Association, vol. 56(5), pages 1869-1886, October.
    5. Fung, William & Hsieh, David A., 2000. "Performance Characteristics of Hedge Funds and Commodity Funds: Natural vs. Spurious Biases," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 35(03), pages 291-307, September.
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    More about this item

    Keywords

    Relative Value Theory; CAPM; RVT; Asset Valuation; Market Equilibrium; Beta; Rationality;

    JEL classification:

    • G - Financial Economics

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