6 -7.3 You have just invested in a portfolio of three stocks. The amount of mone
ID: 2725126 • Letter: 6
Question
6 -7.3
You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized below. Calculate the beta of the portfolio and use the capital asset pricing model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 16 percent and that the risk-free rate is 8 percent. (Round beta answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%.) Beta of the portfolio Expected rate of return %Explanation / Answer
Total investment = $224000 + $336000 + $560000 = $1120000
Beta of portfolio = 1.50 * 224 / 1120+ .69 * 336 / 1120 + 1.35 * 560 / 1120
Beta of portfolio = 1.182
Expected Return = Risk Free rate + Beta * (Market Rate - Risk Free Rate)
= 8% + 1.182 * (16% - 8%) = 17.46%
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