Calculate the covariance and correlation


Question 1: Using the returns for the period 1981 to 1985 listed below, calculate the five-year holding period return on the S&P 500 index.

                                      1981 1982  1983  1984 1985
S&P 500 index return(%) -4.97  21.67 22.57 6.19 31.85

Question 2: Suppose you have invested only in two stocks, A and B. The returns on the two stocks depend on the following three states of the economy, which are equally likely to happen.

State of Return on Return on
Economy    Stock A (%) Stock B (%)
 
Bear        6.30   -3.70
Normal   10.50    6.40
Bull         15.60  25.30

a. Calculate the expected return on each stock.

b. Calculate the standard deviation of returns on each stock

Calculate the covariance and correlation between the returns on the two stocks.

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Finance Basics: Calculate the covariance and correlation
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