Business
Tiger932
2016-04-24 23:16:42
A portfolio is made up of stocks a, b, c, and d in the proportion of 20%, 30%, 25%, and 25% respectively. the nondiversifiable risks of the stocks as measured by their betas are 0.4, 1.2, 2.5, and 1.75 for stock a, b, c, and d respectively. the expected returns of the stocks are 12%, 24%, 30%, and 28% respectively. measure the beta of the portfolio.
ANSWERS
elleeb123
2016-04-25 00:56:48

The portfolio beta would simply be the summation of the weighted average of each beta. Where weighted average of each beta is calculated as: Stock weighted average = Stock proportion * Individual beta Therefore, Stock A beta weighted average = 0.2 * 0.4 = 0.08 Stock B beta weighted average = 0.3 * 1.2 = 0.36 Stock C beta weighted average = 0.25 * 2.5 = 0.625 Stock D beta weighted average = 0.25 * 1.75 = 0.4375 The summation of all betas yield the overall portfolio beta: Portfolio beta = 0.08 + 0.36 + 0.625 + 0.4375 Portfolio beta = 1.5025 ~ 1.5

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