Question

In: Finance

Proposal X   Proposal Y Required investment                                 &nbs

Proposal X   Proposal Y

Required investment                                      $2,400,000        $3,000,000

Estimated life                                                   10 years              10 years

Estimated residual value                                  $200,000              $200,000

Estimated annual net cash flows                        $450,000             $580,000

Required rate of return                                       14%                      14%

Which proposal is the better investment.

Solutions

Expert Solution

Proposal X
Discount rate 0.14
Year 0 1 2 3 4 5 6 7 8 9 10
Cash flow stream -2400000 450000 450000 450000 450000 450000 450000 450000 450000 450000 650000
Discounting factor 1 1.14 1.2996 1.481544 1.6889602 1.925415 2.194973 2.502269 2.852586 3.251949 3.707221
Discounted cash flows project -2400000 394736.8 346260.4 303737.2 266436.12 233715.9 205013.9 179836.8 157751.6 138378.6 175333.5
NPV = Sum of discounted cash flows
NPV Proposal X = 1200.8
Where
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor
Proposal Y
Discount rate 0.14
Year 0 1 2 3 4 5 6 7 8 9 10
Cash flow stream -3000000 580000 580000 580000 580000 580000 580000 580000 580000 580000 780000
Discounting factor 1 1.14 1.2996 1.481544 1.6889602 1.925415 2.194973 2.502269 2.852586 3.251949 3.707221
Discounted cash flows project -3000000 508771.9 446291.2 391483.5 343406.56 301233.8 264240.2 231789.6 203324.3 178354.6 210400.2
NPV = Sum of discounted cash flows
NPV Proposal Y = 79295.84
Where
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor

Choose proposal Y as it has higher NPV


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