Perrot Industries has $325,000 to invest. The company is trying to decide between two alternative uses of the funds. The alternatives follow:
Project | ||||||
A | B | |||||
Cost of equipment required | $ | 280,000 | — | |||
Working capital investment required | — | $ | 280,000 | |||
Annual cash inflows | 69,150 | 57,400 | ||||
Salvage value of equipment in six years | 22,400 | — | ||||
Life of the project | 8 years | 8 years | ||||
The working capital needed for project B will be released at the end of eight years for investment elsewhere. Perrot Industries’ discount rate is 13%.
Click here to view Exhibit 10-1 and Exhibit 10-2, to determine the appropriate discount factor(s) using tables.
Required:
1-a. Calculate net present value for each project. (Negative amount should be indicated with a minus sign. Round discount factor(s) to 3 decimal places. Round other intermediate calculations and final answers to the nearest whole number.)
1-b. Which investment alternative (if either) would you recommend that the company accept?
multiple choice
Project A
Project B
1(a),
year | Annual cash flow for project A, (a) | PV factor @13% (b) | Discounted inflow (A), a*b | Annual cashflow for project B, (d) | PV factor @13%, (e) |
Discounted Inflow (B), d*e |
0 | 280000 | 1 | (280000) | 280000 | 1 | (280000) |
1 | 69150 | 0.8849 | 61191 | 57400 | 0.8849 | 50793 |
2 | 69150 | 0.7831 | 54151 | 57400 | 0.7831 | 44950 |
3 | 69150 | 0.6930 | 47921 | 57400 | 0.6930 | 39778 |
4 | 69150 | 0.6133 | 42410 | 57400 | 0.6133 | 35203 |
5 | 69150 | 0.5427 | 37528 | 57400 | 0.5427 | 31151 |
6 | 69150 | 0.4803 | 33213 | 57400 | 0.4803 | 27569 |
7 | 69150 | 0.4250 | 29389 | 57400 | 0.4250 | 24395 |
8 | 69150 | 0.3761 | 26007 | 57400 | 0.3761 | 21588 |
1(b),
NPV= PV of annual cash flow for 8 years -- cost of investment
NPV(A)=331810-280000=51810
NPV(B)=275427-280000=(4573)
Since NPV of project is positive, Project A is preferrable.
note: Decimals are rounded off to the nearest value.
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