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Problem 6-07 The following are monthly percentage price changes for four market indexes. Month DJIA S&P...

Problem 6-07

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

Month DJIA S&P 500 Russell 2000 Nikkei
1 0.03 0.01 0.03 0.03
2 0.09 0.08 0.12 -0.01
3 -0.02 -0.01 -0.05 0.05
4 0.01 0.04 0.04 0.03
5 0.06 0.05 0.14 0.03
6 -0.06 -0.05 -0.08 0.06

Compute the following.

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

    DJIA:

    S&P 500:

    Russell 2000:

    Nikkei:

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

    DJIA:

    S&P 500:

    Russell 2000:

    Nikkei:

  3. 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):

  4. 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):

  5. 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-negativepositive correlation, meaningful reduction in risk -Select-is not observedis observed if they are combined.

    Since S&P 500 and Nikkei have a strong -Select-negativepositive correlation, meaningful reduction in risk -Select-is not observedis observed if they are combined.

Solutions

Expert Solution

a], b], c], and d]

Average, standard deviation, covariance and correlation are calculated using AVERAGE, STDEV.S, COVARIANCE.S, and CORREL functions in Excel


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