Problem 13-26 Systematic versus Unsystematic Risk [LO3]
Consider the following information about Stocks I and II:
State of Economy Probability of State of Economy Rate of Return if State Occurs
Stock I Stock II
Recession .25 .05 -.28
Normal .55 .20 .15
Irrational exuberance .20 .14 .48
The market risk premium is 8 percent, and the risk-free rate is 5 percent.
Note: Do not round intermediate calculations. Enter your standard deviation answers as a percent rounded to 2 decimal places, e.g., 32.16. Round your beta answers to 2 decimal places, e.g., 32.16.
The standard deviation on Stock I's return is 6.16 percent, and the Stock I beta is 1.63 The standard
deviation on Stock II's return is 27.92 percent, and the Stock II beta is Therefore, based on the
stock's systematic risk/beta, Stock II is "riskier".