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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

  1. 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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