Question

A portfolio is composed of two stocks, A and B. Stock A has a standard deviation of return of 36%, while stock B has a standard deviation of return of 16%. The correlation coefficient between the returns on A and B is 0.30. Stock A comprises 30% of the portfolio, while stock B comprises the rest of the portfolio. What is the standard deviation of the return on this portfolio?

Answer 1

Answer: 17.7%

Step-by-step explanation:

Standard deviation of portfolio = √(Weight of A² * Standard deviation of A² + Weight of B² * Standard deviation of B² + 2 * Weight of A * Weight of B * Correlation coefficient of A and B * Standard deviation of A * Standard deviation of B)

= √(30%² * 36%² + 70%² * 16%² + 2 * 30% * 70% * 0.30 * 36% * 16%)

= √0.0314656

= 17.7%