Question

In: Finance

5. Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either...

5. 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% so that the discount rate is 6 + 8 = 14%, how much will you be willing to pay for the portfolio?

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?

c) Now suppose that you require a risk premium of 12%. What is the price that you will be willing to pay?

Solutions

Expert Solution

1.
=(0.5*70000+0.5*200000)/(1+6%+8%)=118421.052631579

2.
=6%+8%=14.00%

3.
=(0.5*70000+0.5*200000)/(1+6%+12%)=114406.779661017


Related Solutions

3. Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either...
3. Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $50,000 with probability 0.6 or $150,000 with probability 0.4. The alternative riskless investment in T-bill pays 5%. (a) If you require a risk premium of 10%, 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 be the expected rate of return on the portfolio? (c) Now...
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $70,000...
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $70,000 or $180,000, with equal probabilities of 0.5. The alternative riskless investment in T-bills pays 4%. a. If you require a risk premium of 12%, how much will you be willing to pay for the portfolio? (Round your answer to the nearest dollar amount.) Value of the portfolio            $ b. Suppose the portfolio can be purchased for the amount you found in (a). What will...
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $50,000...
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $50,000 or $140,000, with equal probabilities of 0.5. The alternative riskless investment in T-bills pays 6%. a. If you require a risk premium of 11%, how much will you be willing to pay for the portfolio? (Round your answer to the nearest dollar amount.)   Value of the portfolio $    b. Suppose the portfolio can be purchased for the amount you found in (a). What will...
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $60,000...
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $60,000 or $170,000, with equal probabilities of 0.5. The alternative riskless investment in T-bills pays 6%. a. If you require a risk premium of 10%, how much will you be willing to pay for the portfolio? (Round your answer to the nearest dollar amount.) Value of the portfolio            $ b. Suppose the portfolio can be purchased for the amount you found in (a). What will...
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $40,000...
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $40,000 or $120,000, with equal probabilities of 0.5. The alternative riskless investment in T-bills pays 4%. a. If you require a risk premium of 7%, how much will you be willing to pay for the portfolio? (Round your answer to the nearest dollar amount.) b. Suppose the portfolio can be purchased for the amount you found in (a). What will the expected rate of return...
Problem 5-11 Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be...
Problem 5-11 Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $55,200 or $161,100, with equal probabilities of 0.5. The alternative riskless investment in T-bills pays 4%. Required: (a) If you require a risk premium of 8.5%, how much will you be willing to pay for the portfolio? (Round your answer to the nearest dollar amount. Omit the "$" sign in your response.)   Price $    (b) Suppose the portfolio can be purchased for the...
Consider a perpetuity with the first cash flow at the end of year 1. If the...
Consider a perpetuity with the first cash flow at the end of year 1. If the invested funds of the perpetuity could earn 11% per year and the perpetuity paid $467 per year, what is the present value of the perpetuity? (round to the nearest dollar)
Consider a project with free cash flow in one year of $146,076 or $198,619​, with either...
Consider a project with free cash flow in one year of $146,076 or $198,619​, with either outcome being equally likely. The initial investment required for the project is $75,000​, and the​ project's cost of capital is 21%. The​ risk-free interest rate is 6%. (Assume no taxes or distress​ costs.) a. What is the NPV of this​ project? b. Suppose that to raise the funds for the initial​ investment, the project is sold to investors as an​ all-equity firm. The equity...
different cash flow. given the following cash flow at the end of each year, what is...
different cash flow. given the following cash flow at the end of each year, what is the future value of this cash flow at 3%, 9%, and 18% interest rates at the end of year 7? year 1.                     $15,000 year 2.                     $20,000 year 3.                     $29,000 year4 through 6.    $0 year 7.                     $130,000
Consider the following information: • A risky portfolio contains two risky assets. • The expected return...
Consider the following information: • A risky portfolio contains two risky assets. • The expected return and standard deviation for the first risky asset is 18% and 25%, respectively. • The expected return and standard deviation for the second risky asset is 18% and 25%, respectively. • The correlation between the two risky assets is .55. • The expected on the 10-year Treasury bond is 3%. Find the optimal complete portfolio. Assume the investor’s level of risk aversion is 3....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT