A bond has an average return of 6.3 percent and a standard deviation of 3.8 percent. What range of returns would you expect to see 68 percent of the time on this security

Sagot :

The range would be 2.5 percent to 10.1 percent.

What is Expected return?

Expected return is an important financial concept investors use when determining where to invest their funds. Calculating the expected return of a specific investment or portfolio allows you to anticipate the profit or loss on that investment based on its historical performance.

Formula

Expected return = (return A x probability A) + (return B x probability B).

Since the bond holds that 68% of data lies within 1 standard deviation of the mean, the range will be +/- 1 standard deviation from the mean.

Expected return = (return A x probability A) + (return B x probability B)

Expected return = (6.3%-3.8%) to (6.3%+3.8%)

Expected return  = 2.5 percent to 10.1 percent

Hence, The range would be 2.5 percent to 10.1 percent.

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