In: Finance
Project L requires an initial outlay at t = 0 of $65,000, its expected cash inflows are $15,000 per year for 9 years, and its WACC is 14%. What is the project's NPV? Do not round intermediate calculations. Round your answer to the nearest cent.
Project L requires an initial outlay at t = 0 of $77,176, its expected cash inflows are $14,000 per year for 10 years, and its WACC is 12%. What is the project's IRR? Round your answer to two decimal places.
Project A requires an initial outlay at t = 0 of $1,000, and its cash flows are the same in Years 1 through 10. Its IRR is 15%, and its WACC is 9%. What is the project's MIRR? Do not round intermediate calculations. Round your answer to two decimal places. |
1] | NPV of Project L = -65000+15000*(1.14^9-1)/(0.14*1.14^9) = | $ 9,195.58 |
2] | IRR is that discount rate for which the NPV = 0. | |
So, 0 = -77176+14000*PVIFA(irr,10) | ||
Solving for IRR | ||
PVIFA(irr,10) = 77176/14000 = 5.5126 | ||
From the PV tables, the factor for 12% = 5.6502 and for 13% = 5.4262. | ||
IRR = 12%+1%*(5.6502-5.5126)/(5.6502-5.4262) = | 12.61% | |
3] | PV of cash flows when discounted at the IRR of 15% will be equal to the | |
initial investment of $1000 [NPV being 0 at IRR]. | ||
Therefore the annual cash flows are = 1000*0.15*1.15^10/(1.15^10-1) = | $ 199.25 | |
FV of the annual cash flows at WACC = 199.25*(1.09^10-1)/0.09 = | $ 3,027.19 | |
MIRR = (3027.19/1000)^(1/10)-1 = | 11.71% |