This question requires application of 68-95-99 rule of statistics, according to which
68% of times, the values in a normal distribution would lie within + and - 1 standard deviation of mean.
95% of times, the values in a normal distribution would lie within + and - 2 standard deviation of mean.
Question a
For 68%, the confidence interval will be within +1 and -1 of standard deviation.
Lower level = 12.1% - (1 * 19.8%) = -7.70%
Higher level = 12.1% + (1 * 19.8%) = 31.90%
Question b
For 95%, the confidence interval will be within +2 and -2 of standard deviation.
Lower level = 12.1% - (2 * 19.8%) = -27.50%
Higher level = 12.1% + (2 * 19.8%) = 51.70%
Consider the following table for different assets for 1926 through 2017. 8.3 Series Large-company stocks Small-company...
Consider the following table for different assets for 1926 through 2017 Average return Standard Deviation 12.1 % Series Large-company stocks Small-company stocks Long-term corporate bonds Long-term government bonds Intermediate-term government 19.8% 16.5 31.7 6.4 8.3 6.0 9.9 5.2 5.6 bonds 3.4 U.S. Treasury bills Inflation 3.1 3.0 4.0 a. What range of returns would you expect to see 68 percent of the time for long-term corporate bonds? (A negative answer should be indicated by a minus sign. Enter your answers...
Average return Standard Deviation 12.1 % Series Large-company stocks Small-company stocks Long-term corporate bonds Long-term government bonds Intermediate-term government bonds U.S. Treasury bills Inflation 19.8% 31.7 16.5 6.4 8.3 6.0 9.9 5.2 5.6 3.4 3.1 3.0 4.0 a. What range of returns would you expect to see 68 percent of the time for long-term corporate bonds? (A negative answer should be indicated by a minus sign. Enter your answers from lowest to highest. Do not round intermediate calculations and enter...
Consider the following table for the total annual returns for a given period of time. Series Large-company stocks Small-company stocks Long-term corporate bonds Long-term government bonds Intermediate-term government bonds U.S. Treasury bills Inflation Average return 10.9% 16.4 6.2 6.1 Standard Deviation 21.2% 33.0 8.4 9.4 5.7 3.1 4.2. اي اسيا ني ܗ ܗ ܝ What range of returns would you expect to see 68 percent of the time for large-company stocks? (A negative answer should be indicated by a minus...
Use the following table of returns from 1926 through 2017: Series Large stocks Small stocks Long-term corporate bonds Long-term government bonds U.S. Treasury bills Inflation Average return 12.1% 16.5 6.4 6.0 3.4 3.0 a. Determine the return on a portfolio that was equally invested in large-company stocks and long-term corporate bonds. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What was the return on a portfolio that was...
Consider the following table for the total annual returns for a given period of time. Series Average return Standard Deviation Large-company stocks 11.7 % 20.6 % Small-company stocks 16.4 33.0 Long-term corporate bonds 6.7 10.0 Long-term government bonds 6.1 9.4 Intermediate-term government bonds 5.6 5.7 U.S. Treasury bills 3.8 3.1 Inflation 3.1 4.2 Requirement 1: What range of returns would you expect to see 95 percent of the time for long-term corporate bonds? (Negative amount should be indicated by a...
Problem 10-17 Return Distributions [LO 3] Consider the following table for the total annual returns for a given period of time. Series Average return Standard Deviation Large-company stocks 11.7 % 20.6 % Small-company stocks 16.4 33.0 Long-term corporate bonds 6.1 8.8 Long-term government bonds 6.1 9.4 Intermediate-term government bonds 5.6 5.7 U.S. Treasury bills 3.8 3.1 Inflation 3.1 4.2 What range of returns would you expect to see 95 percent of the time for long-term corporate bonds? (A negative answer...
Use the following table of returns from 1926 through 2017: Average return 12.1% 16.5 Series Large stocks Small stocks Long-term corporate bonds Long-term government bonds U.S. Treasury bills Inflation 6.4 6.0 3.4 3.0 a. Determine the return on a portfolio that was equally invested in large-company stocks and long-term corporate bonds. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What was the return on a portfolio that was...
Suppose the returns on long-term government bonds are normally distributed. Assume long-term government bonds have a mean return of 6.0 percent and a standard deviation of 9.9 percent. a. What is the approximate probability that your return on these bonds will be less than -3.9 percent in a given year? Use the NORMDIST function in Excel® to answer this question. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b....
Suppose the returns on long-term government bonds are normally distributed. Assume long-term government bonds have a mean return of 6.0 percent and a standard deviation of 9.9 percent. a. What is the approximate probability that your return on these bonds will be less than -3.9 percent in a given year? Use the NORMDIST function in Excel to answer this question. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b....
Suppose the returns on long-term government bonds are normally distributed. Assume long-term government bonds have a mean return of 6.0 percent and a standard deviation of 9.9 percent. a. What is the approximate probability that your return on these bonds will be less than -3.9 percent in a given year? Use the NORMDIST function in Excel® to answer this question. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b.What...