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Given the following cash flows what is the discounted payback period if MARR-8%? Ans. Xxx Year Cash Flow (275,000) $ (35,000)

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Answer #1

For finding a discounted payback period we need to find the present value of future revenue and then find Cumulative cash flow (CCF), we need to find the year in which CCF turns positive

We will use formula P = F/(1+i)^t to find the present value of future cash flows

Discounted payback period = Year bef CCF turns positive + (Absolute value of CCF bef it turns positive/Present value of cash flow in the year in which CCF turns positive)

year Net cash Flow Discount factor Present value Cumulative Cash flow
0 -275000 1.00000 -2,75,000.00 -2,75,000.00
1 -35000 0.92593 -32,407.41 -3,07,407.41
2 100000 0.85734 85,733.88 -2,21,673.53
3 125000 0.79383 99,229.03 -1,22,444.50
4 150000 0.73503 1,10,254.48 -12,190.02
5 250000 0.68058 1,70,145.80 1,57,955.78
6 300000 0.63017 1,89,050.89 3,47,006.67

Discounted payback period = 4 + 12190.02 / 170145.80 = 4+0.0716 = 4.07 yrs

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