Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $120,000 or $300,000 with equal probabilities of 0.5. The alternative risk-free investment in T-bills pays 5% per year. Required:
a. If you require a risk premium of 8%, how much will you be willing to pay for the portfolio?
b. Suppose the portfolio can be purchased for the amount you found in (a). What will the expected rate of return on the portfolio be?
c. Now suppose you require a risk premium of 15%. What is the price you will be willing to pay now?
d. Comparing your answers to (a) and (c), what do you conclude about the relationship between the required risk premium on a portfolio and the price at which the portfolio will sell?

P8-4b dropping unfavorable division based on the following analysis of last year's operations of groves, inc., a financial vice president of the company believes that the firm's total net income could be increased by $160,000 if its design division were discontinued. (amounts are given in the thousands of dollars.) required provide answers for each of the following independent situations: a. assuming that total fixed costs and expenses would not be affected by discontinuing the design division, prepare an analysis showing why you agree or disagree with the vice president. b. assume that the discontinuance of the design division will enable the company to avoid 30% of the fixed portion of cost of services and 40% of the fixed operating expenses allocated to the design division. calculate the resulting effect on net income. c. assume that in addition to the cost avoidance in requirement (b), the capacity released by discontinuance of the design division can be used to provide 6,000 new services that would have a variable cost per service of $60 and would require additional fixed costs totaling $68,000. at what unit price must the new service be sold if groves is to increase its total net income by $180,000?