Question: Given the following possible expected returns over the three different states of the economy, the data for a share of Starwood Hotels Corp.' common stock
Given the following possible expected returns over the three different states of the economy, the data for a share of Starwood Hotels Corp.' common stock is shown below:
State of the Economy
Probability (p_each state)
Anticipated Rate of Return (r)
Recession
20.00%
11.00%
Normal Year
60.00%
24.50%
Boom
20.00%
-2.00%
Determine the expected return, variance, standard deviation, and coefficient of variance of a share of Starwood Hotels Corp.' common stock (Hint:calculate CoVar for each state of the economy).
A.16.50% expected rate of return, 1.12% variance, 10.58% standard deviation, 4.81 Covar_Recession, .72 Covar_Normal Year, and -26.45 Covar_Boom
B. 14.15% expected rate of return, 1.20% variance, 10.70% standard deviation, 6.03 Covar_Recession, .72 Covar_Normal Year, and -26.45 Covar_Boom
C. 16.50% expected rate of return, 1.44% variance, 13.72% standard deviation, 5.54 Covar_Recession, .70 Covar_Normal Year, and -22.00 Covar_Boom
D. 13.88% expected rate of return, 1.33% variance, 10.58% standard deviation, 5.45 Covar_Recession, .90 Covar_Normal Year, and -20.21 Covar_Boom
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