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On CAPM and Black–Scholes differing risk-return strategies

Joseph L. McCauley and Gemunu H. Gunaratne

Physica A: Statistical Mechanics and its Applications, 2003, vol. 329, issue 1, 170-177

Abstract: In their path-finding 1973 paper, Black and Scholes presented two separate derivations of their famous option pricing partial differential equation. The second derivation was from the standpoint that was Black's original motivation, namely, the capital asset pricing model (CAPM). We show here, in contrast, that the option valuation is not uniquely determined; in particular, strategies based on the delta-hedge and CAPM provide different valuations of an option although both hedges are instantaneouly riskfree. Second, we show explicitly that CAPM is not, as economists claim, an equilibrium theory.

Keywords: Economics; Business; Financial markets; Structures; Organization; Complex systems (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:329:y:2003:i:1:p:170-177

DOI: 10.1016/S0378-4371(03)00588-0

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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