The management of Unter Corporation, an architectural design firm, is considering an investment with the following cash flows:
Year | Investment | Cash Inflow | ||
1 | $ | 75,000 | $ | 6,000 |
2 | $ | 7,000 | $ | 12,000 |
3 | $ | 18,000 | ||
4 | $ | 17,000 | ||
5 | $ | 20,000 | ||
6 | $ | 18,000 | ||
7 | $ | 16,000 | ||
8 | $ | 14,000 | ||
9 | $ | 10,000 | ||
10 | $ | 13,000 | ||
Required:
1. Determine the payback period of the investment.
2. Would the payback period be affected if the cash inflow in the last year were several times as large?
1. pay back period = 5.5 years
2. pay back period would not be affected if the cash in flow in the last year were several times as large
explanation
YEAR | INVESTMENT | CASH INFLOW | CUMULATIVE CASH INFLOW |
1 | $75,000 | $6000 | $6000 |
2 | $7000 | $12,000 | $18,000 |
3 | $18,000 | $36,000 | |
4 | $17,000 | $53,000 | |
5 | $20,000 | $73,000 | |
6 | $18,000 | 91,000 | |
7 | $16,000 | 107,000 | |
8 | $14,000 | 121,000 | |
9 | $10,000 | 131,000 | |
10 | $13,000 | 144,000 |
PAY BACK PERIOD = 5 YEARS + unrecovered amount / amount in the 6th year
= 5 years + ($9000/18,000)
= 5 + 0.5
=5.5 years
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