lecture10(ch10).ppt

,Irwin/McGraw-Hill,Chapter 10,Fundamentals of Corporate FinanceThird Edition,Risk,Return,and Capital Budgeting,Brealey Myers Marcusslides by Matthew Will,Irwin/McGraw-Hill,The McGraw-Hill Companies,Inc.,2001,Topics Covered,Measuring BetaPortfolio BetasCAPM and Expected ReturnSecurity Market LineCapital Budgeting and Project Risk,Measuring Market Risk,Market Portfolio-Portfolio of all assets in the economy.In practice a broad stock market index,such as the S&P Composite,is used to represent the market.Beta-Sensitivity of a stocks return to the return on the market portfolio.,Measuring Market Risk,Example-Turbo Charged Seafood has the following%returns on its stock,relative to the listed changes in the%return on the market portfolio.The beta of Turbo Charged Seafood can be derived from this information.,Measuring Market Risk,Example-continued,Measuring Market Risk,When the market was up 1%,Turbo average%change was+0.8%When the market was down 1%,Turbo average%change was-0.8%The average change of 1.6%(-0.8 to 0.8)divided by the 2%(-1.0 to 1.0)change in the market produces a beta of 0.8.,Example-continued,Measuring Market Risk,When the market was up 1%,Turbo average%change was+0.8%When the market was down 1%,Turbo average%change was-0.8%The average change of 1.6%(-0.8 to 0.8)divided by the 2%(-1.0 to 1.0)change in the market produces a beta of 0.8.,Example-continued,Measuring Market Risk,Example-continued,Portfolio Betas,Diversification decreases variability from unique risk,but not from market risk.The beta of your portfolio will be an average of the betas of the securities in the portfolio.If you owned all of the S&P Composite Index stocks,you would have an average beta of 1.0,Measuring Market Risk,Market Risk Premium-Risk premium of market portfolio.Difference between market return and return on risk-free Treasury bills.,Market Portfolio,Measuring Market Risk,CAPM-Theory of the relationship between risk and return which states that the expected risk premium on any security equals its beta times the market risk premium.,Measuring Market Risk,Security Market Line-The graphic representation of the CAPM.,0,1,Beta,Capital Budgeting&Project Risk,The project cost of capital depends on the use to which the capital is being put.Therefore,it depends on the risk of the project and not the risk of the company.,Capital Budgeting&Project Risk,Example-Based on the CAPM,ABC Company has a cost of capital of 17%.(4+1.3(10).A breakdown of the companys investment projects is listed below.When evaluating a new dog food production investment,which cost of capital should be used?1/3 Nuclear Parts Mfr.B=2.01/3 Computer Hard Drive Mfr.B=1.31/3 Dog Food Production B=0.6AVG.B of assets=1.3,Capital Budgeting&Project Risk,Example-Based on the CAPM,ABC Company has a cost of capital of 17%.(4+1.3(10).A breakdown of the companys investment projects is listed below.When evaluating a new dog food production investment,which cost of capital should be used?R=4+0.6(14-4)=10%10%reflects the opportunity cost of capital on an investment given the unique risk of the project.,Derivation of CAPM,Capital Market LineIndividuals Efficient Frontier with Risk Free Asset,Derivation of CAPM,Homogeneous Expectation-One Market Efficienf Frontier:Capital market Line(CML)The Slope of Capital Market Line is:,Derivation of CAPM,Seurity Market Line(CAPM)If a portfolio is consisted of A and market portfolio M with asset A,W%,and M,(1-W%),then,Derivation of CAPM,對 W 取一階導數:When in equilibrium,W=0 and.,Derivation of CAPM,The slope of the portfolio in equilibrium then is:Since in equilibrium,the portfolio is equal the market portfolio,the slope of the portfolio in CML must equal to that of the market portfolio,the equation can constructed as follows:,Derivation of CAPM,簡化上式：In market model:SML,Derivation of CAPM,