Question

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You are considering the following two mutually exclusive projects that will not be repeated. The required...

You are considering the following two mutually exclusive projects that will not be repeated. The required rate of return is 11.25% for project A and 10.75% for project B. Which project should you accept and why?

Year      Project A Project B

0 -48,000 -126,900

1 18,400 69,700

2 31,300 80,900

3 11,700 0

project A; because its NPV is about $335 more than the NPV of project B

project A; because it has the higher required rate of return

project B; because it has the largest total cash inflow

project B; because it returns all its cash flows within two years

Solutions

Expert Solution

Project A
Particulars Year Cash flows PVF @ 11.25% PV
Cash outflow 0 -48000                  1.00    (48,000.00)
Cash inflow 1 18400                  0.90      16,539.33
Cash inflow 2 31300                  0.81      25,289.74
Cash inflow 3 11700                  0.73        8,497.39
Net Present Value        2,326.46
Project B
Particulars Year Cash flows PVF @ 10.75% PV
Cash outflow 0 -126900                  1.00 (126,900.00)
Cash inflow 1 69700                  0.90      62,934.54
Cash inflow 2 80900                  0.82      65,957.02
Cash inflow 3 0                  0.74                   -  
Net Present Value        1,991.56

Project A should be accepted since its NPV is 335 more than project B


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