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Project L requires an initial outlay at t = 0 of $75,104, its expected cash inflows...

Project L requires an initial outlay at t = 0 of $75,104, its expected cash inflows are $13,000 per year for 11 years, and its WACC is 10%. What is the project's IRR? Round your answer to two decimal places.

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Expert Solution

Ans 11.46%

Year Project Cash Flows (i) DF@ 10% DF@ 10% (ii) PV of Project ( (i) * (ii) ) DF@ 20% (iii) PV of Project ( (i) * (iii) )
0 -75104 1 1                    (75,104.00) 1        (75,104.00)
1 13000 1/((1+10%)^1) 0.909                     11,818.18 0.833          10,833.33
2 13000 1/((1+10%)^2) 0.826                     10,743.80 0.694            9,027.78
3 13000 1/((1+10%)^3) 0.751                       9,767.09 0.579            7,523.15
4 13000 1/((1+10%)^4) 0.683                       8,879.17 0.482            6,269.29
5 13000 1/((1+10%)^5) 0.621                       8,071.98 0.402            5,224.41
6 13000 1/((1+10%)^6) 0.564                       7,338.16 0.335            4,353.67
7 13000 1/((1+10%)^7) 0.513                       6,671.06 0.279            3,628.06
8 13000 1/((1+10%)^8) 0.467                       6,064.60 0.233            3,023.38
9 13000 1/((1+10%)^9) 0.424                       5,513.27 0.194            2,519.49
10 13000 1/((1+10%)^10) 0.386                       5,012.06 0.162            2,099.57
NPV                       4,775.37 NPV        (20,601.86)
IRR = Ra + NPVa / (NPVa - NPVb) * (Rb - Ra)
10% + 4775.37 / (4775.37 + 20601.86)*10%
11.46%

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