Question

You are considering a new product launch. The project will cost $982,000, have a four-year life, and have no salvage value; depreciation is straight-line to zero. Sales are projected at 300 units per year; price per unit will be $19,200, variable cost per unit will be $15,700, and fixed costs will be $328,000 per year. The required return on the project is 12 percent, and the relevant tax rate is 40 percent.

Based on your experience, you think the unit sales, variable cost, and fixed cost projections given here are probably accurate to within ±10 percent.

What are the best-case and worst-case NPVs with these projections? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)

NPVbest	$
NPVworst	$

What is the base-case NPV? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

NPV_base            $

What is the sensitivity of your base-case NPV to changes in fixed costs? (Input your answer as a positive value. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

For every dollar FC increases, NPV falls by $ .

Answer 1

Base case NPV:
=-982000+[(300*(19200-15700)-328000-982000/4)*(1-40%)+982000/4]/0.12*(1-1/1.12^5)
=933578.0739

Best case NPV:
=-982000+[(300*(1+10%)*(19200-15700*(1-10%))-328000*(1-10%)-982000/4)*(1-40%)+982000/4]/0.12*(1-1/1.12^5)
=2352201.701

Worst case NPV:
=-982000+((300*(1-10%)*(19200-15700*(1+10%))-328000*(1+10%)-982000/4)+982000/4)/0.12*(1-1/1.12^5)
=-404154.3748

For every dollar FC increases, NPV falls by
=933578.0739-(-982000+[(300*(19200-15700)-328001-982000/4)*(1-40%)+982000/4]/0.12*(1-1/1.12^5))
=2.162839585