o Sprint 43% 7:10 PM ezto.mheducation.com INANCE Question S (of S) 20.00 points
ID: 2711165 • Letter: O
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o Sprint 43% 7:10 PM ezto.mheducation.com INANCE Question S (of S) 20.00 points Problem 11-5 Risk Premiums and Discount Rates (LO1) Top hedge fund manager Diana Sauros believes that a stock with the same market risk as the S&P; 500 will sell at year-end at a price of $47. The stock will pay a dividend at year-end of $2.00. Assume that risk-free Treasury securities currently offer an interest rate of 2.3% Average rates of return on Treasury bills, government bonds, and common stocks, 1900-2013 (figures in percent per year) are as follows Average Annual (Extra return Portfolio Treasury bills Treasury bonds Common stocks Rate of Return versus Treasury bills) 3.9 5.2 11.5 1.3 7.6 What is the discount rate if the interest rate is 2.0%? (Enter your answer as a percent rounded to 2 decimal places.) Discount rate What price should she be willing to pay for the stock today? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Stock price References Worksheet Difficulty: BasicExplanation / Answer
Beta = 1
Rf =2%
Market risk premium MRP = 7.60%
Discount rate = Rf + MRP x beta
= 2% + 7.60% x 1
= 9.60%
Current Ke = 2.3% + 7.6% x1
= 9.9%
P = D1/ (Ke-g)
47 = 2/(0.099-g)
4.653 -47g = 2
G = 2.653/47
=5.645%
New price:
P = D1/ (Ke-g)
P = 2 /(0.096 -0.05645)
=50.59
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