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Correlation Coefficient (S&P 500 and Stock Index)

What is the most likely correlation coefficient between a stock index mutual fund and the S&P 500?

a 1.0
b. 0.0
c. 1.0
d. none of the above

Please explain your answer and reasoning, so that I might understand how and where you concluded your answer.

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Beta (the correlation coefficient) measures a mutual fund's volatility relative to the benchmark, in this case the S&P 500 index. The Beta is ...