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Consider a risky portfolio. The end-of-year cash flow derived from the portfolio

ID: 2631871 • Letter: C

Question

Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $80,000 or $210,000, with equal probabilities of 0.5. The alternative riskless investment in T-bills pays 4%.

If you require a risk premium of 11%, how much will you be willing to pay for the portfolio?

Suppose the portfolio can be purchased for the amount you found in (a). What will the expected rate of return on the portfolio be?

Now suppose you require a risk premium of 14%. What is the price you will be willing to pay now?

a.

If you require a risk premium of 11%, how much will you be willing to pay for the portfolio?

b.

Suppose the portfolio can be purchased for the amount you found in (a). What will the expected rate of return on the portfolio be?

c.

Now suppose you require a risk premium of 14%. What is the price you will be willing to pay now?

Explanation / Answer

Let X denote the risky portfolio and let p denote its price. Then its
expected return is
E[rX] = (.5*80,000+.5

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