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In: Finance

Brawn Industries is considering an investment project that has the following cash flows: YEAR        CASH FLOW...

Brawn Industries is considering an investment project that has the following cash flows:

YEAR        CASH FLOW
   0                -1,000
   1                    400
   2    300
   3                    500
   4    400


The company's WACC is 10%.
What is the projects regular payback, IRR, and NPV? (You must show your work)

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Expert Solution

Project
Year Cash flow stream Cumulative cash flow
0 -1000 -1000
1 400 -600
2 300 -300
3 500 200
4 400 600
Payback period is the time by which undiscounted cashflow cover the intial investment outlay
this is happening between year 2 and 3
therefore by interpolation payback period = 2 + (0-(-300))/(200-(-300))
2.6 Years
Project
IRR is the rate at which NPV =0
IRR 0.212249384
Year 0 1 2 3 4
Cash flow stream -1000 400 300 500 400
Discounting factor 1 1.212249 1.469549 1.781459 2.159573
Discounted cash flows project -1000 329.9651 204.1443 280.6688 185.2218
NPV = Sum of discounted cash flows
NPV Project = 1.38284E-06
Where
Discounting factor = (1 + IRR)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor
IRR= 21.22%
Project
Discount rate 0.1
Year 0 1 2 3 4
Cash flow stream -1000 400 300 500 400
Discounting factor 1 1.1 1.21 1.331 1.4641
Discounted cash flows project -1000 363.6364 247.9339 375.6574 273.20538
NPV = Sum of discounted cash flows
NPV Project = 260.43
Where
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor

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