Czlapinski Corporation is considering a capital budgeting project that would require an initial investment of $440,000 and working capital of $32,000. The working capital would be released for use elsewhere at the end of the project in 4 years. The investment would generate annual cash inflows of $147,000 for the life of the project. At the end of the project, equipment that had been used in the project could be sold for $11,000. The company's discount rate is 7%.
The net present value of the project is closest to:
A. $66,282
B. $159,000
C. $58,698
D. $34,282
PV table link:
http://lectures.mhhe.com/connect/007802563x/exhibit_13b-1.jpg
http://lectures.mhhe.com/connect/007802563x/exhibit_13b-2.jpg
Please explain answer.
Solution:
Computation of Net present value | ||||
Particulars | Period | PV Factor@7% | Amount | Present Value |
Cash outflows: | ||||
Initial Investment | 0 | 1 | $440,000 | $440,000 |
Working capital | 0 | 1 | $32,000 | $32,000 |
Present Value of Cash outflows (A) | $472,000 | |||
Cash Inflows | ||||
Annual increase in Cash Inflows: | ||||
Year 1 | 1 | 0.9345794 | $147,000 | $137,383 |
Year 2 | 2 | 0.8734387 | $147,000 | $128,395 |
Year 3 | 3 | 0.8162979 | $147,000 | $119,996 |
Year 4 | 4 | 0.7628952 | $147,000 | $112,146 |
Salvage Value | 4 | 0.7628952 | $11,000 | $8,392 |
Recovery of Working capital | 4 | 0.7628952 | $32,000 | $24,413 |
Present Value of Cash Inflows (B) | $530,725 | |||
Net Present Value (NPV) (B-A) | $58,725 |
Net present value of the project is closet to $58,698.
Hence option "C" is correct.
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