Question

An investor is given the two investment alternatives (Assets A and B) with the following characteristics: Asset Expected Return Standard Deviation of Returns A 18.4 percent 16.5 percent B 10.8 percent 6.8 percent What is the standard deviation of a portfolio comprised of 60 percent of an investor's wealth invested in Asset A and 40 percent invested in Asset B if the correlation between the returns of A and Asset B are 0.70?

Answer 1

12.00%

Step-by-step explanation:

As per the given question the solution of standard deviation of a portfolio is provided below:-

Standard deviation of a portfolio = √(Standard deviation of Product 1)^2 × (Weight 1)^2 + Standard deviation of Product 2)^2 × (Weight 2)^2 + 2 × Standard deviation of product 1 × Standard deviation of product 2 × Weight 1 × Weight 2 × Correlation

= √(0.165^2 × 0.6^2) + (0.068^2 × 0.4^2) + (2 × 0.6 × 0.4 × 0.165 × 0.068 × 0.7)

= √0.009801 + 0.0007398 + 0.00376992

= √0.01431076

= 0.119628592

or

= 12.00%

So, we have calculated the standard deviation of a portfolio by using the above formula.