Aguilera Acoustics, Inc., (AAI) projects unit sales for a new seven-octave voice emulation implant as follows:
Year Unit Sales
1 110,500
2 129,500
3 117,500
4 100,500
5 86,500
Production of the implants will require $1,750,000 in net working capital to start and additional net working capital investments each year equal to 20 percent of the projected sales increase for the following year. Total fixed costs are $1,400,000 per year, variable production costs are $230 per unit, and the units are priced at $350 each. The equipment needed to begin production has an installed cost of $25,500,000. Because the implants are intended for professional singers, this equipment is considered industrial machinery and thus qualifies as seven-year MACRS (MACRS Table) property. In five years, this equipment can be sold for about 10 percent of its acquisition cost. AAI is in the 34 percent marginal tax bracket and has a required return on all its projects of 17 percent.
Requirement 1: What is the NPV of the project? (Do not round intermediate calculations.Round your answer to 2 decimal places (e.g., 32.16).) Net present value $
Requirement 2: What is the IRR? (Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).) Internal rate of return %
25. Year Cash Flow
0 –$ 18,400
1 10,700
2 9,600
3 6,100
What is the profitability index for the set of cash flows if the relevant discount rate is 11 percent? (Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.)
Profitability index __________
What is the profitability index for the set of cash flows if the relevant discount rate is 16 percent? (Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.)
Profitability index __________
What is the profitability index for the set of cash flows if the relevant discount rate is 23 percent? (Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.)
Profitability index __________