Question
Suppose the returns on long-term government bonds are normally distributed. Based on the historical record from 1926-2008, long-term government bonds had a mean return of
Suppose the returns on long-term government bonds are normally distributed. Based on the historical record from 1926-2008, long-term government bonds had a mean return of 6.1 percent and a standard deviation of 9.4 percent.
Required: |
(a) | Based on the historical record, what is the approximate probability that your return on these bonds will be less than ?3.3 percent in a given year? (Do not include the percent sign (%).Round your answer to 2 decimal places. (e.g., 32.16)) |
Probability | % |
(b) | What range of returns would you expect to see 95 percent of the time? (Do not include the percent signs (%). Negative amounts should be indicated by a minus sign. Input your answers from lowest to highest to receive credit for your answers. Round your answers to 2 decimal places. (e.g., 32.16)) |
Range of return | % | to | % |
(c) | What range would you expect to see 99 percent of the time? (Do not include the percent signs (%). Negative amounts should be indicated by a minus sign.Input your answers from lowest to highest to receive credit for your answers. Round your answers to 2 decimal places. (e.g., 32.16)) |
Range of return | % | to | % |
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