Question

Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $50,000 or $150,000, with equal probabilities of 0.5. The alternative riskless investment in T-bills pays 5%. a. If you require a risk premium of 10%, how much will you be willing to pay for the portfolio

Answer 1

Answer:

A. $86,956.52

B. 15%

C.$83,333.33

Explanation:

a) Calculation for how much will you be willing to pay for the portfolio

First step is to calculate the required rate of return on the portfolio using this formula

The required rate of return on the portfolio= Risk Free Return+Risk Premium

Let plug in the formula

The required rate of return on the portfolio=5%+10%

The required rate of return on the portfolio=15%

Second step is to calculate the Expected value of the portfolio

Expected value of the portfolio= 0.5*50,000+0.5*150,000

Expected value of the portfolio =$100,000

Assuming x is the amount you will be willing to pay for the portfolio which means that:

x*(1+15%)=100,000 OR x= $86,956.52

Therefore You would be willing to pay $86,956.52 for the portfolio.

b) Calculation for What will the expected rate of return on the portfolio be

Expected return on the portfolio= (100,000-86,956.52)/86,956.52

Expected return on the portfolio=15%

Therefore the Expected return on the portfolio will be 15%

c) Calculation for What is the price you will be willing to pay now

In a situation where the risk premium is 15%, which means that the required rate of return will be

Required rate of return=5%+15%

Required rate of return=20%

Therefore the price you will be willing to pay= 100,000/(1+20%)

Price=$83,333.33