Question

In: Accounting

A four year project that has an initial cost of $60,000. The future cash inflows are...

A four year project that has an initial cost of $60,000. The future cash inflows are $40,000 00,$30,000,$20,000, and $10,000, respectively Given this informationwhat what is the IRR for?

Solutions

Expert Solution

Year Cash Flow PV Factor @ 31% Present Value PV Factor @ 32% Present Value
0 $     -60,000.00 1 $         -60,000.00 1 $      -60,000.00
1 $      40,000.00 0.76336 $          30,534.35 0.75758 $        30,303.03
2 $      30,000.00 0.58272 $          17,481.50 0.57392 $        17,217.63
3 $      20,000.00 0.44482 $            8,896.44 0.43479 $          8,695.77
4 $      10,000.00 0.33956 $            3,395.59 0.32939 $          3,293.85
$ 307.87 $            -489.71

Unsing Hit and Trial method,

IRR = 31% + [$307.87 / ($307.87 + $489.71)]

= 31% + ($307.87 / $797.59)

= 31% + 0.386%

= 31.386%

(Using IRR function in excel, the IRR is 31.383%)

If you have any doubt or require any explanation, feel free to ask in comment section.


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