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You are a conservative investor. You hold only a total market index mutual fund and Treasury-bills. Currently the market index has an expected return of

  1. You are a conservative investor. You hold only a total market index mutual fund and Treasury-bills. Currently the market index has an expected return of 10% and a standard deviation of 24% and the T-bills promise a 3% return. You are evaluating the desirability of three different portfolios, 100% in the market index, 75% in the index and 25% in T-bills, and 50% in each.
    1. What is the expected return and standard deviation of each of the three portfolios?

  1. What is the beta of each of the three portfolios?

  1. What is the risk premium on the index portfolio?

  1. What criterion would you use to choose between the three candidates?

  1. BONUS: What are the expected return, standard deviation, and beta of your portfolio if you have $100,000 of your own to invest and you borrow another $100,000 at the risk free rate so you can buy $200,000 of the market index? Use the table below for (A), (B) and (E)

Expected Portfolio Return

Portfolio Standard Deviation

Portfolio Beta

100% in Market Index

0% in Treasury-Bills

? ? ?

? ? ?

? ? ?

75% in Market Index

25% in Treasury-Bills

? ? ?

? ? ?

? ? ?

50% in Market Index

50% in Treasury-Bills

? ? ?

? ? ?

? ? ?

+200% in Market Index

-100% in Treasury-Bills

? ? ?

? ? ?

? ? ?

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