An investment project has an initial cost of $382 and cash flows $105, $130, $150, and $150 for Years 1 to 4, respectively. The cost of capital is 9 percent. What is the discounted payback period

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Answer:

3.57 years

Explanation:

The discounted payback period calculates how long it takes for the amount invested in a project to be recovered from the cumulative discounted cash flows.

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Based on the information given the discounted payback period is 3.57 years.

Discounted payback period:

Discounted payback period = 3 years + ($382 - $105/(1+.09) + $130/(1+.09)^2 + $150/(1+.09)^3/($150/(1+.09)^4

Discounted payback period = 3 years + ($382 - $105/1.09 + $130/1.09^2 + $150/1.09^3)/($150/1.09^4)

Discounted payback period= 3.57 years

Inconclusion the discounted payback period is 3.57 years.

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