Question

study Assume that you are going to invest $120,000 in a two asset portfolio. You will invest $80,000 in the fully diversified market portfolio and the remainder of your funds will be invested in the riskless security. Assume the market risk premium is 8% and the riskless return is 4%. Compute the expected return on this portfolio.

Answer 1

9.33%

Step-by-step explanation:

The expected return of two asset portfolio is the weighted average of individual assets' expected to return as computed thus:

Portfolio expected return=(weight of market portfolio*expected return of market portfolio)+(weight of riskless security*expected return of riskless security)

weight of market portfolio=amount invested in market portfolio/total invested amount

weight of market portfolio=$80,000/$120,000=66.67%

expected return of market portfolio=market risk premium+riskless return

expected return of market portfolio=8%+4%=12%

weight of riskless security=1-66.67%=33.33%(since total investment which is 100% is 1)

expected return of riskless security=4%

Portfolio expected return=(66.67%*12%)+(33.33%*4%)

Portfolio expected return=\=9.33%