What is the discounted payback of a project that has an initial outlay of $20,000 and will generate $6,000 in year 1, $12,000 in year 2, $9,000 in year 3, and $14,000 in year 4 assuming the cost of capital is 10%?

2.68 years

Explanation:

Year     Inflows   Discount rate 10% PV of cash inflows Cumulative value

1         $6,000    0.9090909091    $5,454.55                    $5,454.55

2       $12000   0.826446281          $9,917.36                     $15,371.90

3      $9,000   0.7513148009   $6,761.83                    $22,133.73

4      $14,000   0.6830134554  $9,562.19                    $31,695.92

Total present value           $31,695.92

Now the discounted payback period is

= 2 + ($20,000 - $15,371.90) ÷ ($6761.83)

= 2 + 0.68 years

= 2.68 years

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