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Capital Market Theory (Chap 9,10 of RWJ) 2003,10,16
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Returns Dollar returns: terminal market value – initial market value Percentage returns=dollars returns/initial market value Dividend yield=dividend at end of period / present price Capital gain= price change of stock / initial price Total returns= dividend yield + capital gains
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Holding period returns (1+R1)(1+R2)…(1+RT) for T years Small-company Large-company Long-term government bonds Treasury bill inflation
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Average stock return and risk-free return Risk-free return: Risk premium = excess return on the risky asset = risky asset return – risk-free return Risky returns as a normal distribution
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Expected return Variance Covariance Correlation Expected return of a portfolio is the weighted sum of individual expected return.
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Diversification effect As long as correlation <1, the standard deviation of a portfolio of two securities is less than the weighted average of the standard deviations of the individual securities. Extend to more securities.
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Efficient set (efficient frontier) for two assets Minimize variance of portfolio for constant expected mean.
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Limit of reduced variance Portfolio who contains all assets. Variance as “ risk”. Total risk of individual security = portfolio risk (systematic risk) + diversifiable risk (or unsystematic risk)
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Market equilibrium In a world of homogeneous expectations, all investors would hold the portfolio of risky assets Market portfolio: market-value-weighted portfolio of all existing portfolio.
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Beta Beta measures the responsiveness of a security to movements in the market portfolio Beta_i=Cov(R_i,R_M)/Sigma^2(R_M)
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Relation between risk and expected return (CAPM) R_M=R_F+ Risk premium R=R_F+Beta(R_M-R_F) Beta=0: riskless asset Beta=1: Market portfolio
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