Ch06 revised

Ch06 revised - CHAPTER 6: RISK AND RISK AVERSION 1. a. The...

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CHAPTER 6: RISK AND RISK AVERSION 1. a.The expected cash flow is: (0.5 × $70,000) + (0.5 × 200,000) = $135,000 With a risk premium of 8% over the risk-free rate of 6%, the required rate of return is 14%. Therefore, the present value of the portfolio is: $135,000/1.14 = $118,421 b. If the portfolio is purchased for $118,421, and provides an expected cash inflow of $135,000, then the expected rate of return [E(r)] is derived as follows: $118,421 × [1 + E(r)] = $135,000 Therefore, E(r) = 14%. The portfolio price is set to equate the expected rate or return with the required rate of return. c.If the risk premium over T-bills is now 12%, then the required return is: 6% + 12% = 18% The present value of the portfolio is now: $135,000/1.18 = $114,407 d. For a given expected cash flow, portfolios that command greater risk premia must sell at lower prices. The extra discount from expected value is a penalty for risk.
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Ch06 revised - CHAPTER 6: RISK AND RISK AVERSION 1. a. The...

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