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The following are monthly percentage price changes for four market indexes. Month DJIA S&P 500 Russell 2000 Nikkei 1 0.04 0.02 0.03 0.03 2 0.09

The following are monthly percentage price changes for four market indexes.

Month DJIA S&P 500 Russell 2000 Nikkei
1 0.04 0.02 0.03 0.03
2 0.09 0.08 0.11 -0.01
3 -0.03 -0.02 -0.03 0.07
4 0.02 0.04 0.04 0.01
5 0.06 0.05 0.12 0.01
6 -0.08 -0.05 -0.11 0.05

Compute the following.

Average monthly rate of return for each index. Round your answers to five decimal places.

DJIA:

S&P 500:

Russell 2000:

Nikkei:

Standard deviation for each index. Do not round intermediate calculations. Round your answers to four decimal places.

DJIA:

S&P 500:

Russell 2000:

Nikkei:

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):

Covariance (S&P 500, Russell 2000):

Covariance (S&P 500, Nikkei):

Covariance (Russell 2000, Nikkei):

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):

Correlation (S&P 500, Russell 2000):

Correlation (S&P 500, Nikkei):

Correlation (Russell 2000, Nikkei):

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 c

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