Question

Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $70,000 or $200,000 with equal probabilities of .5. The alternative risk-free investment in T-bills pays 6% per year. a. If you require a risk premium of 8%, how much will you be willing to pay for the portfolio?

Answer 1

$118,421

Step-by-step explanation:

first we must calculate the expected value of the risky portfolio = ($70,000 x 0.5) + ($200,000 x 0.5) = $135,000

since your risk premium is 8% and the risk free rate is 6%m then you should discount the expected value by 8% + 6% = 14% to determine its current market price

= $135,000 / (1 + 14%) = $118,421