National Rodeo Association, a not-for-profit organization, is considering purchasing a new enterprise software system for $75,000. This...

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National Rodeo Association, a not-for-profit organization, isconsidering purchasing a new enterprise software system for$75,000. This investment is projected to have an seven-year usefullife, and a salvage value of $10,000; the investment is projectedto save the organization approximately $14,000 each year inoperating costs. In addition to the cost of the software system,the association needs an increase of $6,000 in net working capital(other than cash) in the first year, which will not be released(that is, converted back to cash) until the end of seven years.

Required:

1. What is the payback period for this proposed investment?(Assume that the cash flows, other than salvage value, occur evenlythroughout the year. Round your answer to 2 decimal places, e.g.,2.452 years = 2.45 years.)

2. If the Association has a required rate of return of 9percent, what is the net present value (NPV) of the proposedinvestment? Round your calculation to whole dollars (i.e., zerodecimal points).

Answer & Explanation Solved by verified expert
4.1 Ratings (719 Votes)

1)
Initial Investment
Cost of new software $         75,000
Working Capital $           6,000
Total $         81,000
Annual cash inflow $   14,000.00
Payback period = Initial Investment / annual cash inflow
=$81000/14000
=5.79 years
2) Calculation Of NPV
a Annual net cash inflow $            14,000
b PV Annuity Factor (9%,7 years) 5.0330
c PV of annual cash flow (a*b) $      70,461.34
d Release Of Working Capital $        6,000.00
e PV Factor for 7th year 0.5470
f PV of working capital $        3,282.21
g Salvage Value $            10,000
h PV Factor for 7th year 0.54703
i PV of Salvage Value (g*h) $        5,470.34
j Initial Investment $            81,000
k NPV (c+i+f-j) $            -1,786

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