Question

An asset has an average return of 10.94 percent and a standard deviation of 20.98 percent. What range of returns should you expect to see with a 95 percent probability

Answer 1

If the standard deviation is 20.98%. The range you should expect to see with a 95 percent probability is: -31.02 percent to +52.9 percent.

Expected range of return

Expected range of return = 10.94 percent ± 2(20.98 percent)

Expected range of return =[10.94 percent- 2(20.98 percent)]; [10.94 percent + 2(20.98 percent)]

Expected range of return =(10.94 percent- 41.96 percent); (10.94 percent + 41.96 percent

Expected range of return = -31.02 percent to +52.9 percent

Inconclusion the range of returns is: -31.02 percent to +52.9 percent.

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