Ask Question
18 June, 19:39

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.

+2
Answers (1)
  1. 18 June, 19:41
    0
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 ...” in 📗 Business if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers