An asset has an average return of 10.31 percent and a standard deviation of 22.47 percent. What is the most you should expect to lose in any given year with a probability of 16 percent

-34.63

Explanation:

Confidence interval = 1 - probability * 2

= 1 - 0.16 * 2

= 0.71

= 71%

As per 95% rule, range = mean + / -2 * standard deviation.

10.31 +/- 2 * 22.47

10.31 - 2 * 22.47 to 10.31 + 2 * 22.47

10.31 - 44.94 to 10.31 + 44.94

-34.63 to 55.25

Conclusion: -34.63 is the lower bound hence it is the maximum one can expect to lose in any given year.

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