Answer:
The standard deviation from investing in the asset is 14.40%.
Explanation:
Note: The data in the question are first sorted before answering the question as follows:
State of the Economy Probability of the States Percentage Returns
Economic recession 25% 5%
Moderate economic growth 50% 10%
Strong economic growth 25% 13%
The standard deviation from investing in the asset is:
The explanation of the answer is now given as follows:
Note: See the attached excel file for the calculation of Variance from investing in the asset.
From the attached excel file, we have:
Variance = 2.07%
Therefore, we have:
Standard deviation = Variance^0.5 = 2.07%^0.5 = 14.40%
Therefore, the standard deviation from investing in the asset is 14.40%.