© 2012 McGraw-Hill Ryerson LimitedChapter Market Risk Premium: ◦ The risk premium of the market portfolio. It is the difference between market return and the return on risk free asset. Benchmark Betas ◦ Since the return on a t-bill is fixed and unaffected by what happens in the market; the beta of the risk-free asset is zero. ◦ By definition, the beta of the market portfolio is 1. ◦ Given these benchmarks and the market risk premium, we can calculate the expected return on any asset. LO3
© 2012 McGraw-Hill Ryerson LimitedChapter Measuring return with given beta: The Capital Asset Pricing Model (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 According to the CAPM: LO3
© 2012 McGraw-Hill Ryerson LimitedChapter An example of measuring return with CAPM: Calculate the expected return on a stock with a beta of 0.5 if T-bills return 4% and the market returns 11%. Expected Return =r j = r f + ×[r m – r f ] = 4% × [11% - 4%] = 7.5% LO3
© 2012 McGraw-Hill Ryerson LimitedChapter CAPM 0.0% 5.0% 10.0% 15.0% 20.0% 25.0% Beta of Asset Expected Return (%) Market Portfolio T-bill LO3
© 2012 McGraw-Hill Ryerson LimitedChapter Security Market Line (SML) ◦ The graph showing the relationship between the market risk of the security and its expected return is called the Security Market Line (SML). ◦ According to the CAPM, expected rates of return for all securities and all portfolios lie on the SML. LO3
© 2012 McGraw-Hill Ryerson LimitedChapter CAPM 0.0% 5.0% 10.0% 15.0% 20.0% 25.0% Beta of Asset Expected Return (%) SML 2.3 Proposed Holding LO3
© 2012 McGraw-Hill Ryerson LimitedChapter How Well Does the CAPM Work? ◦ Studies have found the CAPM is too simple to capture exactly how stock markets work ◦ However, the CAPM does capture two fundamental financial principles: Investors require extra return for taking on risk Investors are primarily concerned with the market risk they cannot eliminate by diversification ◦ Thus, the CAPM is a good rule of thumb for pricing assets. ◦ Example: IMAX has a beta of 1.25 Expected Return = 4% × (11% - 4%) = 12.75% ◦ Thus, if IMAX were proposing an expansion project, you would discount its estimated cash flows at 12.75% LO3, LO4