In: Finance
Given the two projects with given cash flows, the NPV of project A is how many more (or less) dollars than project B if the discount rate is 9%?
Answer with two decimals.
Project A Project B
CF0: -13,773 -10,543
CF1: 3,480 1,723
CF2: 4,302 2,290
CF3: 9,768 4,794
CF4: 8,914 7,550
CF5: 2,684 12,530
NPV of Project A is less than NPV of project B by $1,516.71
Step-1:Calculation of NPV of Project A | |||
Year | Cash flow | Discount factor | Present Value |
a | b | c=1.09^-a | d=b*c |
0 | $ -13,773 | 1.0000 | $ -13,773.00 |
1 | 3,480 | 0.9174 | 3,192.66 |
2 | 4,302 | 0.8417 | 3,620.91 |
3 | 9,768 | 0.7722 | 7,542.69 |
4 | 8,914 | 0.7084 | 6,314.90 |
5 | 2,684 | 0.6499 | 1,744.42 |
NPV | $ 8,642.57 | ||
Step-2:Calculation of NPV of Project B | |||
Year | Cash flow | Discount factor | Present Value |
a | b | c=1.09^-a | d=b*c |
0 | $ -10,543 | 1.0000 | $ -10,543.00 |
1 | 1,723 | 0.9174 | 1,580.73 |
2 | 2,290 | 0.8417 | 1,927.45 |
3 | 4,794 | 0.7722 | 3,701.85 |
4 | 7,550 | 0.7084 | 5,348.61 |
5 | 12,530 | 0.6499 | 8,143.64 |
NPV | $ 10,159.28 | ||
Step-3:Calculation of difference of NPV | |||
NPV of A | $ 8,642.57 | ||
NPV of B | $ 10,159.28 | ||
Difference | $ -1,516.71 |