Suppose your firm is considering investing in a project with the cash flows shown below, that the required rate of return on projects of this risk class is 9 percent, and that the maximum allowable payback and discounted payback statistics for the project are 2.0 and 3.0 years, respectively.
Time: | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
Cash flow | –$7,000 | $1,130 | $2,330 | $1,530 | $1,530 | $1,330 | $1,130 |
1)
first 4 years will recover money=1130+2330+1530+1530=6520
pay back period is=4+(7000-6520)/1330=4.36, this is above the maximum allowable 2 years, so do not accept
2)
Year | Cash Flows (1) | Discounting Factor (2) | Present value (3): (1)*(2) | Cumulative Present value |
0 | -7000 | 1.0000 | -7000.00 | -7000.00 |
1 | 1130 | 0.9174 | 1036.70 | -5963.30 |
2 | 2330 | 0.8417 | 1961.11 | -4002.19 |
3 | 1530 | 0.7722 | 1181.44 | -2820.75 |
4 | 1530 | 0.7084 | 1083.89 | -1736.86 |
5 | 1330 | 0.6499 | 864.41 | -872.45 |
6 | 1130 | 0.5963 | 673.78 | -198.67 |
As shown above the project has cumulative cash flows in negative even in last year (6th year), so that means it can not even recover value in the six years, so discounted payback period will be higher than 6 years which is above the maximum allowable 3 years, so do not accept
the above is answer..
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