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In: Finance

MC algo 5-12 Calculating Crossover Rate You are evaluating two projects with the following cash flows:...

MC algo 5-12 Calculating Crossover Rate You are evaluating two projects with the following cash flows: Year Project X Project Y 0 −$547,200 −$516,500 1 218,600 208,300 2 228,500 218,100 3 235,700 226,000 4 195,400 186,800 What is the crossover rate for these two projects? Multiple Choice .66% 22.35% 11.72% 23.01% 10.65%

Solutions

Expert Solution

Project Y-Project X Cash flow values are as follows
Year Cash flow stream
0 30700
1 -10300
2 -10400
3 -9700
4 -8600
Incremental IRR is calculated based on difference of the cash flow of the two projects
Incremental CF
IRR is the rate at which NPV =0
IRR 10.65%
Year 0 1 2 3 4
Cash flow stream 30700 -10300 -10400 -9700 -8600
Discounting factor 1 1.106503 1.224348 1.354744 1.499028
Discounted cash flows project 30700 -9308.61 -8494.32 -7160.02 -5737.051
NPV = Sum of discounted cash flows
NPV Incremental CF = -3.49231E-06
Where
Discounting factor = (1 + IRR)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor
IRR= 10.65%

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