You’ve observed the following returns on Crash-n-Burn Computer’s stock over the
ID: 2766882 • Letter: Y
Question
You’ve observed the following returns on Crash-n-Burn Computer’s stock over the past five years: 10 percent, –11 percent, 18 percent, 19 percent, and 10 percent. Suppose the average inflation rate over this period was 2.2 percent and the average T-bill rate over the period was 4.7 percent.
What was the average real return on Crash-n-Burn’s stock? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
What was the average nominal risk premium on Crash-n-Burn’s stock? (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place, e.g., 32.1.)
You’ve observed the following returns on Crash-n-Burn Computer’s stock over the past five years: 10 percent, –11 percent, 18 percent, 19 percent, and 10 percent. Suppose the average inflation rate over this period was 2.2 percent and the average T-bill rate over the period was 4.7 percent.
Explanation / Answer
a)
Average return = (10+18+19+10) -11 / 5 = 46/5 = 9.2
(1+nominal)=(1+real)*(1+inflation)
Therefore Average real return = 1.0920 / 1.022 = 1.068
Average real return = 1.068 -1 = 0.068 or 6.8%
b)
The nominal risk premium is the difference between the average return and the risk free return
So Average nominal risk premium = 11.40 - 4.7 = 6.70%
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