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onsider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession .20 8 % 16 % Normal economy .50 19 9 Boom .30

onsider the following scenario analysis:

Rate of Return

Scenario Probability Stocks Bonds
Recession .20 8 % 16 %
Normal economy .50 19 9
Boom .30 25 6

a.

Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than in booms?

Yes
No

b.

Calculate the expected rate of return and standard deviation for each investment.(Do not round intermediate calculations. Enter your answers as a percent rounded to 1 decimal place.)

Expected Rate of Return Standard Deviation
Stocks % %
Bonds % %

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 $43. The stock will pay a dividend at year-end of $3.00. 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, 19002013 (figures in percent per year) are as follows.

Portfolio Average Annual Rate of Return Average Premium (Extra return versus Treasury bills)
Treasury bills 3.9
Treasury bonds 5.2 1.3
Common stocks 11.5 7.6

What is the discount rate on the stock?(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

$

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