24.1
Consider the following two projects:
| Year 0 | Year 1 | Year 2 | Year 3 | |
| A | -5000 | 2500 | 2500 | 2500 |
| B | -2000 | 1000 | -500 | 3000 |
\( \Large NPV(A) = -5000+ \frac{2500}{.12} \left [ 1 - \frac{1}{\left(1+.12 \right )^{3} } \right ] = {$}1{,}004.58\)
\( \Large NPV(B) = -2000+ \frac{1000}{(1.12)^{1} } - \frac{500}{(1.12)^{2}} + \frac{3000}{(1.12)^{3}} = {$}629.60\)
Choose A. A is the best choice because it maximizes the value of the company. The NPV tells us how much present value the project adds to the current value of the company. Project A adds more value than project B.