Question

Consider two perfectly negatively correlated risky securities, X and Y. Security X has an expected rate of return of 9% and a standard deviation of return of 27%. Y has an expected rate of return of 17% and a standard deviation of return of 39%. What is the weight of security Y in the minimum variance portfolio? Enter your answer rounded to two decimal places. Do not enter % in the answer box. For example, if your answer is 0.12345 or 12.345% then enter as 12.35 in the answer box.

Answer 1

0.41

Explanation:

The computation of the weight of security Y in the minimum variance portfolio is shown below:-

Weight of security X = Standard deviation of security Y ÷ (Sum of the standard deviation of securities)

= 39% ÷ (39% + 27%)

= 39% ÷ 66%

= 59.01%

Weight of security Y = 1 - Weight of security X

= 1 - 59.01%

= 0.41