Greta, an elderly investor, has a degree of risk aversion of A = 4 when applied to return on wealth over a 3-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of 3-year strategies. (All rates are annual, continuously compounded.) The S&P 500 risk premium is estimated at 9% per year, with a SD of 18%. The hedge fund risk premium is estimated at 5% with a SD of 25%. The return on each of these portfolios in any year is uncorrelated with its return or the return of any other portfolio in any other year. The hedge fund management claims the correlation coefficient between the annual returns on the S&P 500 and the hedge fund in the same year is zero, but Greta believes this is far from certain.

Assuming the correlation between the annual returns on the two portfolios is indeed zero, what would be the optimal asset allocation? (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.)

Shrieves casting company is considering adding a new line to its product mix, and the capital budgeting analysis is being conducted by sidney johnson, a recently graduated mba. the production line would be set up in unused space in the main plant. the machinery’s invoice price would be approximately $200,000, another $10,000 in shipping charges would be required, and it would cost an additional $30,000 to install the equipment. the machinery has an economic life of 4 years, and shrieves has obtained a special tax ruling that places the equipment in the macrs 3-year class. the machinery is expected to have a salvage value of $25,000 after 4 years of use. the new line would generate incremental sales of 1,250 units per year for 4 years at an incremental cost of $100 per unit in the first year, excluding depreciation. each unit can be sold for $200 in the first year. the sales price and cost are both expected to increase by 3% per year due to inflation. further, to handle the new line, the firm’s net working capital would have to increase by an amount equal to 12% of sales revenues. the firm’s tax rate is 40%, and its overall weighted average cost of capital, which is the risk-adjusted cost of capital for an average project (r), is 10%. define “incremental cash flow.” (1) should you subtract interest expense or dividends when calculating project cash flow?

Your uncle is considering investing in a new company that will produce high quality stereo speakers. the sales price would be set at 1.5 times the variable cost per unit; the variable cost per unit is estimated to be $75.00; and fixed costs are estimated at $1,200,000. what sales volume would be required to break even, i.e., to have ebit = zero?

While on vacation in las vegas jennifer, who is from utah, wins a progressive jackpot playing cards worth $15,875 at the casino royale. what implication does she encounter when she goes to collect her prize?