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William F. Sharpe

American economist

  • 4 min read
  • 6 chapters

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Through World War II and Accounting

Sharpe was one of the originators of the capital asset pricing model (CAPM). He created the Sharpe ratio for risk-adjusted investment performance analysis, and he contributed to the development of the binomial method for the valuation of options, the gradient method for asset allocation optimization, and returns-based style analysis for evaluating the style and performance of investment funds.

Contributions to Finance

Sharpe's work on the capital asset pricing model established a mathematical framework for evaluating the relationship between risk and return. The model identifies that the expected return of an asset is equal to the risk-free rate plus a premium based on the asset's systematic risk, or beta.

The standard CAPM equation is:

E(Ri)=Rf+βi(E(Rm)−Rf)

where:

  • E(Ri) is the expected return on the capital asset;
  • Rf is the risk-free rate of interest;
  • βi is the sensitivity of the expected excess asset returns to the expected excess market returns;
  • E(Rm) is the expected return of the market.

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