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Consider the following four-year project. The initial outlay or cost is $210,000. The respective cash inflows...

Consider the following four-year project. The initial outlay or cost is $210,000. The respective cash inflows for years 1, 2, 3 and 4 are: $100,000, $80,000, $80,000 and $20,000. What is the discounted payback period if the discount rate is 11%?

About 2.94 years

About 2.000 years

About 2.427 years

About 1.667 years

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Answer #1
Year Cash flows Present value@11% Cumulative Cash flows
0 (210,000) (210,000) (210,000)
1 100,000 90090.09 (119909.91)
2 80,000 64929.79 (54980.12)
3 80,000 58495.31 3515.19
4 20,000 13174.62 16689.81

Hence discounted Payback period=Last period with a negative cumulative cash flow+(Absolute value of cumulative cash flows at that period/Cash flow after that period).

=2+(54980.12/58495.31)

=2.94 years(Approx).

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