Greta, an elderly investor, has a degree of risk aversion of A = 3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 6.4% per year, with a SD of 21.4%. The hedge fund risk premium is estimated at 11.4% with a SD of 36.4%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund 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 is not fully convinced by this claim. Calculate Greta’s capital allocation using an annual correlation of 0.3. (Do not round your intermediate calculations. Round your answers to 2 decimal 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?