Question

In: Finance

Given the two projects with given cash flows, the NPV of project A is how many...

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

Solutions

Expert Solution

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

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