Question
Just answer part E. The following are monthly percentage price changes for four market indexes. Month DJIA S&P 500 Russell 2000 Nikkei 1 0.04 0.03
Just answer part E.
The following are monthly percentage price changes for four market indexes.
Month | DJIA | S&P 500 | Russell 2000 | Nikkei | ||||
1 | 0.04 | 0.03 | 0.05 | 0.05 | ||||
2 | 0.08 | 0.07 | 0.11 | -0.02 | ||||
3 | -0.01 | -0.02 | -0.04 | 0.05 | ||||
4 | 0.02 | 0.04 | 0.04 | 0.01 | ||||
5 | 0.04 | 0.03 | 0.13 | 0.01 | ||||
6 | -0.07 | -0.05 | -0.10 | 0.08 |
Compute the following.
Average monthly rate of return for each index. Round your answers to five decimal places. DJIA: .01667
S&P 500: .01667
Russell 2000: .03167
Nikkei: .03000
Standard deviation for each index. Do not round intermediate calculations. Round your answers to four decimal places. DJIA: .0516
S&P 500: .0437
Russell 2000: .0880
Nikkei: .0363
Covariance between the rates of return for the following indexes. Use a minus sign to enter negative values, if any. Do not round intermediate calculations. Round your answers to six decimal places. Covariance (DJIA, S&P 500): .001806
Covariance (S&P 500, Russell 2000): .002889
Covariance (S&P 500, Nikkei): -0.001200
Covariance (Russell 2000, Nikkei): -0.00288
The correlation coefficients for the same four combinations. Use a minus sign to enter negative values, if any. Do not round intermediate calculations. Round your answers to four decimal places. Correlation (DJIA, S&P 500): .9609
Correlation (S&P 500, Russell 2000): .9026
Correlation (S&P 500, Nikkei): -.9077
Correlation (Russell 2000, Nikkei): -.8574
- Using the unrounded answers from parts (a), (b), and (d), calculate the expected return and standard deviation of a portfolio consisting of equal parts of (1) the S&P and the Russell 2000 and (2) the S&P and the Nikkei. Do not round intermediate calculations. Round your answers to five decimal places.
Expected return (S&P 500 and Russell 2000):
Standard deviation (S&P 500 and Russell 2000):
Expected return (S&P 500 and Nikkei):
Standard deviation (S&P 500 and Nikkei):
Since S&P 500 and Russell 2000 have a strong -Select-negativepositiveItem 21 correlation, meaningful reduction in risk -Select-is not observedis observedItem 22 if they are combined.
Since S&P 500 and Nikkei have a strong -Select-negativepositiveItem 23 correlation, meaningful reduction in risk -Select-is not observedis observedItem 24 if they are combined.
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