You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio, P, constructed with two risky securities, X and Y. The weights of X and Y in P are 0.60 and 0.40, respectively. X has an expected rate of return of 0.14 and variance of 0.01, and Y has an expected rate of return of 0.10 and a variance of 0.0081. What would be the dollar values of your positions in X and Y, respectively, if you decide to hold 40% of your money in the risky portfolio and 60% in T-bills?
A) $240; $360
B) $360; $240
C) $100; $240
D) $240; $160
E) Cannot be determined.

Question

Quizplus · Accepted Answer

Given a $1,000 investment with 40% in a risky portfolio and 60% in T-bills, $400 is allocated to the risky portfolio. Within this portfolio, 60% goes to X ($240) and 40% to Y ($160).

You Are Considering Investing $1,000 in a T-Bill That Pays