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 6.9 percent and a standard deviation of 9.9 percent. For the same period, T-bills had an average return of 5.4 percent and a standard deviation of 4.1 percent. Use the NORMDIST function in Excel® to answer the following questions: 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 O percent? Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. 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? Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. c. In one year, the return on long-term corporate bonds was -5.6 percent. How likely is it that such a low return will recur at some point in the future? T-bills had a return of 12.02 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? Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.

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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 of 6.9 percent and a standard deviation of 9.9 percent. For the same period, T-bills had an
average return of 5.4 percent and a standard deviation of 4.1 percent. Use the NORMDIST function in Excel® to answer the following
questions:
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
O percent?
Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.
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?
Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.
c. In one year, the return on long-term corporate bonds was -5.6 percent. How likely is it that such a low return will recur at some
point in the future? T-bills had a return of 12.02 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?
Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.
a. Probability of return greater than 10 percent
Probability of return less than 0 percent
b. Probability of return greater than 10 percent
Probability of return less than 0 percent
c. Probability of return less than -5.6 percent
Probability of return greater than 12.02 percent
%
%
%
%
%
%
Transcribed Image Text: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 6.9 percent and a standard deviation of 9.9 percent. For the same period, T-bills had an average return of 5.4 percent and a standard deviation of 4.1 percent. Use the NORMDIST function in Excel® to answer the following questions: 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 O percent? Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. 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? Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. c. In one year, the return on long-term corporate bonds was -5.6 percent. How likely is it that such a low return will recur at some point in the future? T-bills had a return of 12.02 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? Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. a. Probability of return greater than 10 percent Probability of return less than 0 percent b. Probability of return greater than 10 percent Probability of return less than 0 percent c. Probability of return less than -5.6 percent Probability of return greater than 12.02 percent % % % % % %
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