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Suppose the returns on long-term corporate bonds and T-bills are normally distributed. Assume for a certain time period, long-term corporate bonds had an average return

Suppose the returns on long-term corporate bonds and T-bills are normally distributed. Assume for a certain time period, long-term corporate bonds had an average return of 6.4% and a standard deviation of 8.4%. For the same period, T-bills had an average return of 3.6% and a standard deviation of 3.1%. Use the NORMDIST function in Excel to answer the following questions:

Required:
(a)

What is the probability that in any given year, the return on long-term corporate bonds will be greater than 10 percent? Less than 0 percent? (Do not round intermediate calculations. Enter your answers as a percentage rounded to 2 decimal places (e.g., 32.16).)

Probability of return greater than 10 percent %
Probability of return less than 0 percent %

(b)

What is the probability that in any given year, the return on T-bills will be greater than 10 percent? Less than 0 percent? (Do not round intermediate calculations. Enter your answers as a percentage rounded to 2 decimal places (e.g., 32.16).)

Probability of T-bill return greater than 10 percent %
Probability of T-bill return less than 0 percent %

(c)

In 1979, the return on long-term corporate bonds was 4.18 percent. How likely is it that such a low return will recur at some point in the future? T-bills had a return of 10.56 percent in this same year. How likely is it that such a high return on T-bills will recur at some point in the future? (Do not round intermediate calculations. Enter your answers as a percentage rounded to 2 decimal places (e.g., 32.16).)

Probability of return on long-term corporate bonds less than 4.18 percent %
Probability of T-bill return greater than 10.56 percent %

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