(a) Computex Compute Compute Ty Compute ² (8) Use the results of part (a) to compute the sample mean variance, and standard deviation for Round your answers to i-

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Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for
Vanguard Total Stock Index (all stocks), Let y be a random variable representing annual return for Vanguard Balanced Index (50%
stock and 40% bond). For the past several years, we have the following data.
LAUSE SALT
(a) Computex
Compute
Compute
100 37 23 32 22 26 -13-9-20
8 -2 28 16 23 19 16
Compute
²
-3-11
(b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for x. (Round your answers to
four decimal places)
Use the results of part (a) to compute the sample mean variance, and standard deviation for y. (Round your answers to
four decimal places)
(6) Computea 75% Chebyshev interval around the mean for values. (Enter your answer in the form lower it to upper
Smit. Include the word "to" Round your numerical values to tere decimal places)
Comune a 75% Chebyshev interval around the mean for y values. (Enter your answer is the form lower amt to upper
mit Include the word "to" Round your numerical values to two decimal places)
Transcribed Image Text:Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for Vanguard Total Stock Index (all stocks), Let y be a random variable representing annual return for Vanguard Balanced Index (50% stock and 40% bond). For the past several years, we have the following data. LAUSE SALT (a) Computex Compute Compute 100 37 23 32 22 26 -13-9-20 8 -2 28 16 23 19 16 Compute ² -3-11 (b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for x. (Round your answers to four decimal places) Use the results of part (a) to compute the sample mean variance, and standard deviation for y. (Round your answers to four decimal places) (6) Computea 75% Chebyshev interval around the mean for values. (Enter your answer in the form lower it to upper Smit. Include the word "to" Round your numerical values to tere decimal places) Comune a 75% Chebyshev interval around the mean for y values. (Enter your answer is the form lower amt to upper mit Include the word "to" Round your numerical values to two decimal places)
(0) Computea 75% Chebyshev interval around the mean for values. (Enter your answer in the form: lower limit to upper
sest. Include the word "t" Round your numerical values to two decimal places.
Computea 75% Chebyshev interval around the mean for y values. (Enter your answer in the form: lower limit to upper
ame. Include the word "to" Round your numerical values to two decimal places)
Use the intervals to compare the two funds
75% of the returns for the balanced fund fall within a narrower range than those of the stock fund
75% of the returns for the stock fund fall within a narrower range than those of the balanced fund
25% of the returns for the balanced fund fall within a narrower range than those of the stock fund.
25% of the returns for the stock fund fall within a wider range than those of the balanced fund
(d) Compute the coefficient of variation in percent) for fund x. (Round your answer to the nearest whole number)
Compute the coefficient of variation (in percent) for fund y. (Round your answer to the nearest whole number)
Use the coefficients of variation to compare the two funds
For each unit of retum, the stock fund has lower risk
for each unit of return, the balanced fund has lower risk.
For each unit of return, the funds have equal risk
If a represents risks and represents expected return, then a can be thought of as a measure of risk per unit of expected
retum. In this case, why is a smaller CV better? Explain.
A smaller CV is better because it indicates a higher risk per unit of expected return
A smaller CV is better because it indicates a lower risk per unit of expected retur
Transcribed Image Text:(0) Computea 75% Chebyshev interval around the mean for values. (Enter your answer in the form: lower limit to upper sest. Include the word "t" Round your numerical values to two decimal places. Computea 75% Chebyshev interval around the mean for y values. (Enter your answer in the form: lower limit to upper ame. Include the word "to" Round your numerical values to two decimal places) Use the intervals to compare the two funds 75% of the returns for the balanced fund fall within a narrower range than those of the stock fund 75% of the returns for the stock fund fall within a narrower range than those of the balanced fund 25% of the returns for the balanced fund fall within a narrower range than those of the stock fund. 25% of the returns for the stock fund fall within a wider range than those of the balanced fund (d) Compute the coefficient of variation in percent) for fund x. (Round your answer to the nearest whole number) Compute the coefficient of variation (in percent) for fund y. (Round your answer to the nearest whole number) Use the coefficients of variation to compare the two funds For each unit of retum, the stock fund has lower risk for each unit of return, the balanced fund has lower risk. For each unit of return, the funds have equal risk If a represents risks and represents expected return, then a can be thought of as a measure of risk per unit of expected retum. In this case, why is a smaller CV better? Explain. A smaller CV is better because it indicates a higher risk per unit of expected return A smaller CV is better because it indicates a lower risk per unit of expected retur
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