Question

A factory costs $400,000. It will produce an inflow after operating costs of $100 000 in year 1. $ 200,000 in year 2, and $ 300,000 in year 3. The opportunity cost of capital is 12%. Calculate NPV.

Answer 1

Answer:

NPV = $62,258.56

Explanation:

initial outlay year 0 = $400,000

cash inflow year 1 = $100,000

cash inflow year 2 = $200,000

cash inflow year 3 = $300,000

discount rate = 12%

using a financial calculator, NPV = $62,258.56

if you do it by hand:

NPV = -$400,000 + $100,000/1.12 + $200,000/1.12² + $300,000/1.12³ = -$400,000 + $89,285.71 + $159,438.78 + $213,534.07 = $62,258.56