Question

What is the var of a 10 million portfolio with normally distributed returns at the 5% VaR? Assume the expected return is 13% and the standard deviation is 20%.
a) -19.90.
b) -13%.
c) 19.90%.
d) 13%.
A portfolio is composed of two stocks, A and B. Stock A has a standard deviation of return of 24%, while stock B has a standard deviation of return of 18%. Stock A comprises 60% of the portfolio, while stock B comprises 40% of the portfolio. If the variance of return on the portfolio is .0380, the correlation coefficient between the returns on A and B is:_____.
a) 583.
b) 225.
c) 128.
d) 327.

Answer 1

Answer and Explanation:

The computation is shown below:

1. VaR = Expected return - z × Standard deviation  

= 13% - 1.645 × 20%

= -19.90%

Therefore the option a is the correct answer.

2) Now the correlation coefficient is

Variance of the portfolio  = (weight of A × Standard deviation 1)^2 + (weight of B × Standard deviation 2)^2 + (2 × weight of A × weight of B × Standard deviation 1 × Standard deviation 2 × correlation 1 and 2)

3.80% = (60% × 24%)^2 + (40% × 18%)^2 + (2 × 60% × 40% × 24% × 18% × correlation 1 and 2)

So the correlation is 0.583