In: Finance
GM is considering two mutually exclusive projects, A and B. Project A costs $150,000 and is expected to generate $50,000 in year one, $85,000 in year two, and $35,000 per year in years 3 and 4. Project B costs $120,000 and is expected to generate $64,000 in year one, $45,000 in year two, $25,000 in year three, and $55,000 in year four. GM's required rate of return for these projects is 10%. GM decides to use NPV to evaluate these projects. Which project or projects will they choose?
Project A
Project B
Projects A&B
GM would reject both projects
Computation of NPV | |||||||
i | ii | iii | iv=i*iii | v=ii*iii | |||
Cash flow | Present value | ||||||
Year | Project A | Project B | PVIF @ 10% | Project A | Project B | ||
0 | -150000 | -120000 | 1.0000 | (150,000.00) | (120,000.00) | ||
1 | 50000 | 64000 | 0.9091 | 45,454.55 | 58,181.82 | ||
2 | 85000 | 45000 | 0.8264 | 70,247.93 | 37,190.08 | ||
3 | 35000 | 25000 | 0.7513 | 26,296.02 | 18,782.87 | ||
4 | 35000 | 55000 | 0.6830 | 23,905.47 | 37,565.74 | ||
15,903.97 | 31,720.51 | ||||||
NPV of A = | 15,903.97 | ||||||
NPV of B = | 31,720.51 | ||||||
We can see that NPV of B is higher compared to A and project are mutually exclusive. | |||||||
Which means only one of the project will be selected. In this case project B. | |||||||
Correct answer is option : | Project B |