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Computational Investing I Notes: Capital Assets Pricing Model - CAPM

071 Capital Assets Pricing Model - CAPM

  • Recommended read: Grinold & Kahn Chapter 2

Assumptions:

  • Return on stock is a mix of:
  • Systematic return:
    • The whole market moves in a direction, and carries the stocks with it
    • Return of the market: rm
    • Susceptibility of a stock to be 'carried away' by the market (market correlation): β
  • Residual return:
    • The stock moves somewhat randomly from the market
    • Difference from the market in a given day: α
    • Expected value of the residual is 0: E(α) = 0
ri = βi*rm + αi
  • Market return = risk free rate of return + excess return
    • Risk free rate of return is usually bank interest rate
A market portfolio is a market-cap weighted index
  • US S&P500
  • UK FTA
  • Japan TOPIX