A project has an initial cost of $10,600 and produces cash inflows of $3,700, $4,900, and $2,500 for Years 1 to 3, respectively. What is the discounted payback period if the required rate of return is 7.5 percent

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A project has an initial cost of $10,600 and produces cash inflows of $3,700, $4,900, and $2,500 for Years 1 to 3, respectively. What is the discounted payback period if the required rate of return is 7.5 percent

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Answer: Never

Working notes for the above answer is  under

We have been provided with the information that

Year Cash
Flow
0 -10600
1 3700
2 4900
3 2500

Now we calculate discounted Payback as under

Year Cash
Flow
PV factor
at  7.5%
Prasent
value
Incremental
Cash Flow
A B C=A*B
0 -10600 1 -10600 -10600
1 3700 0.93023256 3441.8605 -7158.14
2 4900 0.86533261 4240.1298 -2918.01
3 2500 0.80496057 2012.4014 -905.608

 

As we can see that during the life of the project the amount invested is not covered

(see year 3 incremental cash flow figure it is – 905.608)

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