Question

Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $70,000 or $200,000 with equal probabilities of .5. The alternative risk-free investment in T-bills pays 6% per year.
a. If you require a risk premium of 8%, how much will you be willing to pay for the portfolio? (Round your answer to the nearest whole dollar amount. Omit the "$" sign in your response.)

Price________$

b.Suppose that the portfolio can be purchased for the amount you found in (a). What will be the expected rate of return on the portfolio? (Round your answer to the nearest whole number. Omit the "%" sign in your response.)

Rate of return______%

c.Now suppose that you require a risk premium of 12%. What is the price that you will be willing to pay? (Round your answer to the nearest whole dollar amount. Omit the "$" sign in your response.)

Price_______$

Answer 1

Answer:

A) 964,286

B) 14

C) 750,000

Explanation:

The portfolios expected return = (0.5 x $70,000) + (0.5 x $200,000) = $35,000 + $100,000 = $135,000

If the risk free investment yields 6% per year, and you require a risk premium of 8%, then the total interest rate that the portfolio yields must be 6% + 8% = 14%

you will be willing to pay: $135,000 / 14% = $964,286 for the portfolio

if the risk premium increase by 4%, then the price of the portfolio will decrease to: $135,000 / 18% = $750,000