You are the financial analyst for a tennis racket manufacturer. The company is considering using a graphitelike material in its tennis rackets. The company has estimated the information in the following table about the market for a racket with the new material. The company expects to sell the racket for six years. The equipment required for the project will be depreciated on a straight$-$line basis and has no salvage value. The required return for projects of this type is $13$ percent and the company has a $21$ percent tax rate.

Pessimistic Expected Optimistic

Market size $90,000100,000112,000$

Market share $20\%23\%25\%$

Selling price $ $149$ $ $153$ $ $157$

Variable costs per unit $ $82$ $$78$ $ $75$

Fixed costs per year $ $980,000$ $ $925,000$ $ $885,000$

Initial investment $ $2,200,000$ $ $2,050,000$ $ $1,950,000$

Calculate the NPV for each case for this project. Assume a negative taxable income generates a tax credit. $($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$.,32\mathrm{.}16.)$

Pessemistic

Expected

Optomistic