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Correlation and Covariance Calculation

Question 1
Multiple Choice

Stock A Stock B

E(R) 0.07 0.11

\sigma^{2} 0.0036 0.0025

COV_{A,B} =0.002

The correlation between the returns of Stock A and Stock B is closest to:

Explanation

To calculate the correlation coefficient, use the formula:
ρ = Cov(X,Y) / (σX × σY)

  • σX = √0.0036 = 0.06

  • σY = √0.0025 = 0.05

So,
ρ = 0.002 / (0.06 × 0.05) = 0.002 / 0.003 = 0.67

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