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The management of Unter Corporation, an architectural design firm, is considering an investment with the following cash flows

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Answer #1

Answer:-1)-The payback period of the investment approximately is 6.5 years.

Explanation- Payback period is the time in which the initial cash outflow of an investment is expected to be recovered from the cash inflows generated by the investment. It is one of the simplest investment appraisal techniques.

When cash inflows are uneven, then calculate cumulative net cash flow for each period and

Then use the following formula for payback period:

Payback period =A+B/C

Where:-

A is the last period with a negative cumulative cash flow;
B is the absolute value of cumulative cash flow at the end of the period A;
C is the total cash flow during the period after A

= 6 years + ($2500/$5000)

= 6.5 years

Unter Corporation
Calculation of pay back period
Year Investment Cash Inflows Unrecovered Investment
$ $ $
1 -15000 1000 14000
2 -8000 2000 20000
3 2500 17500
4 4000 13500
5 5000 8500
6 6000 2500
7 5000 0
8 4000 0
9 3000 0
10 2000 0

2)- No, the payback period will be not affected if the cash inflow in the last year were several times as large, because the investment is recovered prior to the last year, the amount of the cash inflow in the last year has no effect on the payback period.

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