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#31 Nugent Communication Corp. is investing $9,365,000 in new technologies. The company expects significant benefits in...

#31 Nugent Communication Corp. is investing $9,365,000 in new technologies. The company expects significant benefits in the first three years after installation (as can be seen by the following cash flows), and a constant amount for four more years. What is the discounted payback period for the project assuming a discount rate of 12 percent? Show all your work.

0 -$9,365,000
1 2,265,433
2 4,558,721
3 3,378,911
4 1,150,000
5 1,150,000
6 1,150,000
7 1,150,000
0 0
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Answer #1
Calculation of discounted payback period is shown below
Year Cash flow Discount factor @ 12% Present value Cumulative cash flow
0 -9365000 1.00000 -$9,365,000 -$9,365,000
1 2265433 0.89286 $2,022,708 -$7,342,292
2 4558721 0.79719 $3,634,184 -$3,708,107
3 3378911 0.71178 $2,405,042 -$1,303,065
4 1150000 0.63552 $730,846 -$572,220
5 1150000 0.56743 $652,541 $80,321
6 1150000 0.50663 $582,626 $662,947
7 1150000 0.45235 $520,202 $1,183,149
Discounted payback period 4 years + (572220/652541)
Discounted payback period 4.88
Thus, discounted payback period is 4.88 years
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