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You've just won a huge $100 million lottery. You've decided to invest your winnings in the following way: $30 million in real estate, $30 million in corporate bonds and $40 million in equities. For the equities you've identified 4 possible investments (A, B, C & D) that interest you. Based on your level of tolerance for risk, your equity portfolio needs to have an average beta that is 30% higher than the beta of the market portfolio.
(a) You invest $5 million in investment A which has a beta of 0.6 and $8 million in B which has a beta of 0.9. If C has a beta of 1.7 and D is assumed to have no risk, then how much would you invest in C & D?
(b) Assume that equities A, B & C are priced correctly. If the rate of return on D is 3% and the average market risk premium is 4%, what is the rate of return on each of A, B & C?
(c) You've also identified 3 other equities (X, Y & Z). Calculate their actual returns using the dividend discount model and compare this to their expected returns using CAPM. Which of the investments is (are) correctly priced, underpriced or overpriced? Which one(s) would lie on the SML (Security Market Line), above the SML or below the SML.
What is an annuity? An annuity is a series of equivalent cash flows, spaced consistently over time.
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