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In: Finance

Project L costs $64,749.69, its expected cash inflows are $13,000 per year for 10 years, and...

Project L costs $64,749.69, its expected cash inflows are $13,000 per year for 10 years, and its WACC is 14%. What is the project's IRR? Round your answer to two decimal places.

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Expert Solution

Ans 15.20%

Year Project Cash Flows (i) DF@ 12% DF@ 12% (ii) PV of Project ( (i) * (ii) ) DF@ 22% (iii) PV of Project ( (i) * (iii) )
0 -64749.69 1 1                    (64,749.69) 1        (64,749.69)
1 13000 1/((1+12%)^1) 0.893                     11,607.14 0.820          10,655.74
2 13000 1/((1+12%)^2) 0.797                     10,363.52 0.672            8,734.21
3 13000 1/((1+12%)^3) 0.712                       9,253.14 0.551            7,159.19
4 13000 1/((1+12%)^4) 0.636                       8,261.74 0.451            5,868.19
5 13000 1/((1+12%)^5) 0.567                       7,376.55 0.370            4,809.99
6 13000 1/((1+12%)^6) 0.507                       6,586.20 0.303            3,942.61
7 13000 1/((1+12%)^7) 0.452                       5,880.54 0.249            3,231.65
8 13000 1/((1+12%)^8) 0.404                       5,250.48 0.204            2,648.89
9 13000 1/((1+12%)^9) 0.361                       4,687.93 0.167            2,171.23
10 13000 1/((1+12%)^10) 0.322                       4,185.65 0.137            1,779.69
15.20% NPV                       8,703.21 NPV        (13,748.29)
IRR = Ra + NPVa / (NPVa - NPVb) * (Rb - Ra)
12% + 8703.21 / (8703.21 + 13748.29)*10%
15.20%

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