# Estimating Net Present Value

General Auto (GA) Corporation is developing a new model of a compact hybrid car. This car is assumed to generate sales for the next five years. GA has gathered information about the following quantities through focus groups with the marketing and engineering departments.

Fixed cost of developing the car. This cost is assumed to be $1.4 billion. The fixed cost is incurred at the beginning of year 1, before any sales are recorded.

Margin per car

This is the unit selling price minus the variable cost of producing a car. GA assumes that in year 1, the margin will be $5,000. Every year afterwards, GA assumes the margin will decrease by 4%. This expected margin decrease is due to the fact that variable costs will tend to increase over the next 5 years, whereas the selling price is expected to remain fairly constant.

Sales

The demand for the car is the uncertain quantity. In its first year, GA assumes that the number of cars sold will be most likely around 150,000, in the worst case around 100,000 and in the best case around 170,000. Because of increasing competition in this auto market sector, the company assumes that the sales will decrease by some percentage each year as compared to the previous year, where this percentage is triangularly distributed with parameters 5%, 8% and 10%. GA assumes that the percentage decreases in successive years are independent of each other

Depreciation and taxes. The company will depreciate its development cost on a straight-line basis over the five years. The corporate tax rate is 40%. Assume that all the depreciation is tax-deductible in this case.

Discount rate

GA figures its cost of capital at 15%.

Estimate the NPV of the after-tax cash flows for this new car over the 5-year time horizon

#### Solution Preview

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Given that,

Fixed cost $1,400,000,000

Margin in the first year $5,000

%decline in margin every year 4%

Sales

Most likely 150,000

Worst case 100,000

Best case 170,000

Average 140,000

Decline in sales

1st year 5%

2nd year 8%

3rd ...

#### Solution Summary

This solution provides calculations for net present value of the after-tax cash flows.