Question

Your division is considering two projects with the following cash flows (in millions): 0 1 2...

Your division is considering two projects with the following cash flows (in millions):

0 1 2 3
Project A -$20 $5 $9 $12
Project B -$13 $8 $7 $3
  1. What are the projects' NPVs assuming the WACC is 5%? Enter your answer in millions. For example, an answer of $10,550,000 should be entered as 10.55. Negative values, if any, should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to two decimal places.

    Project A:    $   million

    Project B:    $   million

    What are the projects' NPVs assuming the WACC is 10%? Enter your answer in millions. For example, an answer of $10,550,000 should be entered as 10.55. Negative values, if any, should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to two decimal places.

    Project A:  $   million

    Project B:  $   million

    What are the projects' NPVs assuming the WACC is 15%? Enter your answer in millions. For example, an answer of $10,550,000 should be entered as 10.55. Negative values, if any, should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to two decimal places.

    Project A:  $   million

    Project B:  $   million

  2. What are the projects' IRRs assuming the WACC is 5%? Do not round intermediate calculations. Round your answer to two decimal places.

    Project A:    %

    Project B:    %

    What are the projects' IRRs assuming the WACC is 10%? Do not round intermediate calculations. Round your answer to two decimal places.

    Project A:    %

    Project B:    %

    What are the projects' IRRs assuming the WACC is 15%? Do not round intermediate calculations. Round your answer to two decimal places.

    Project A:    %

    Project B:    %

  3. If the WACC was 5% and A and B were mutually exclusive, which project would you choose? (Hint: The crossover rate is 3.86%.)

    -Select-Project AProject BNeither A nor BItem 13

    If the WACC was 10% and A and B were mutually exclusive, which project would you choose? (Hint: The crossover rate is 3.86%.)

    -Select-Project AProject BNeither A nor BItem 14

    If the WACC was 15% and A and B were mutually exclusive, which project would you choose? (Hint: The crossover rate is 3.86%.)

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Answer #1

a

Project A
Discount rate 0.05
Year 0 1 2 3
Cash flow stream -20 5 9 12
Discounting factor 1 1.05 1.1025 1.157625
Discounted cash flows project -20 4.761905 8.163265 10.36605
NPV = Sum of discounted cash flows
NPV Project A = 3.29
Where
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor
Project B
Discount rate 0.05
Year 0 1 2 3
Cash flow stream -13 8 7 3
Discounting factor 1 1.05 1.1025 1.157625
Discounted cash flows project -13 7.619048 6.349206 2.591513
NPV = Sum of discounted cash flows
NPV Project B = 3.56
Where
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor
Project A
Discount rate 0.1
Year 0 1 2 3
Cash flow stream -20 5 9 12
Discounting factor 1 1.1 1.21 1.331
Discounted cash flows project -20 4.545455 7.438017 9.015778
NPV = Sum of discounted cash flows
NPV Project A = 1
Where
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor
Project B
Discount rate 0.1
Year 0 1 2 3
Cash flow stream -13 8 7 3
Discounting factor 1 1.1 1.21 1.331
Discounted cash flows project -13 7.272727 5.785124 2.253944
NPV = Sum of discounted cash flows
NPV Project B = 2.31
Where
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor
Project A
Discount rate 0.15
Year 0 1 2 3
Cash flow stream -20 5 9 12
Discounting factor 1 1.15 1.3225 1.520875
Discounted cash flows project -20 4.347826 6.805293 7.890195
NPV = Sum of discounted cash flows
NPV Project A = -0.96
Where
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor
Project B
Discount rate 0.15
Year 0 1 2 3
Cash flow stream -13 8 7 3
Discounting factor 1 1.15 1.3225 1.520875
Discounted cash flows project -13 6.956522 5.293006 1.972549
NPV = Sum of discounted cash flows
NPV Project B = 1.22
Where
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor
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