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The following are monthly percentage price changes for four market indexes.
Month DJIA S&P 500 Russell 2000 Nikkei
1 0.03 0.02 0.04 0.04
2 0.07 0.06 0.10 -0.02
3 -0.02 -0.01 -0.04 0.07
4 0.01 0.03 0.03 0.02
5 0.05 0.04 0.11 0.02
6 -0.06 -0.04 -0.08 0.06
Compute the following.
a. Average monthly rate of return for each index.
b. Standard deviation for each index
c. Covariance between the rates of return for the following indexes.
d. the correalation coefficients for the same four combinations
e. Using the answer from parts (a), (b), and (d), calculate the expected return and standard deviation of a portfolio consisiting equal parys of (1) the S&P and the Russell 2000 and (2) the S&P and the Nikkei. Discuss the two portfolios.
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