Top hedge fund manager believes that a stock with the same market risk as the S&P 500 will sell at year-end at a price of $57. The stock will pay a dividend at year-end of $2.00. Assume that risk-free Treasury securities currently offer an interest rate of 1.8%.

Average rates of return on Treasury bills, government bonds, and common stocks 1900-2017 (figures in percent per year) are as follows:

Portfolio Average Annual Rate of Return (%) Average Premium (extra return versus Treasury Bills) (%)

Treasury bills 3.8

Treasury Bond 5.3 1.5

Common stocks 11.5 7.7

a. What is the discount rate on the stock? (Enter answer as a percent rounded to 2 decimal place)

Discount rate ___________%

b. 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 ____--------------------