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Calculate the Pay-off Period for an IS project that has a $200,000 development cost in year...

Calculate the Pay-off Period for an IS project that has a $200,000 development cost in year 1 and annual $40,000 maintenance costs from year 2 onwards. The benefits are expected to be $100,000 in Year 2 and growing $25,000 a year as adoption of the system increases. The discount rate is 0%.

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Expert Solution

Calculation of pay-off period for an IS project
Explaination- As the project life is not given in the problem it is assumed that it has unlimited usual life and below is only an extract of project cashflows till 5 years to calculate the pay-off period. Further as discount rate is 0% we have not calculated discounted payback period.
Year Benefits (a) Maintenance costs (b) Cahflows (a-b) Cumulative cashflows
1 -200000 -200000
2 100000 40000 60000 -140000
3 125000 40000 85000 -55000
4 150000 40000 110000 55000
5 175000 40000 135000 190000
and so on
Pay-off period= A+ (B/C)
where,
A= last period number with negative cumulative cashflows
B= absolute value of cumulative net cashflow at the end of period A
C= total cash inflow during the period following period A
Pay-off period= 3+(55000/110000)
3.5 years

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