Question

In: Finance

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%.)

    -Select-Project AProject BNeither A nor B

Please write answers easy to see thanks!

Solutions

Expert Solution

a. NPV of Project A at 5% =PV of Cash Flows-Initial Investment =5/1.05+9/1.05^2+12/1.05^3-20=3.29
NPV of Project B at 5% =PV of Cash Flows-Initial Investment =8/1.05+7/1.05^2+3/1.05^3-13=3.56

b. NPV of Project A at 10% =PV of Cash Flows-Initial Investment =5/1.05+9/1.05^2+12/1.05^3-20=1.00
NPV of Project B at 10% =PV of Cash Flows-Initial Investment =8/1.05+7/1.05^2+3/1.05^3-13=2.31

c. NPV of Project A at 10% =PV of Cash Flows-Initial Investment =5/1.15+9/1.15^2+12/1.15^3-20=-0.96
NPV of Project B at 10% =PV of Cash Flows-Initial Investment =8/1.15+7/1.15^2+3/1.15^3-13=1.22


b. IRR remains same irrespective of WACC

IRR using Financial Calculator (IRR of Project A at 5%)
CF0=-20;CF1=5;CF2=9;CF3=12;CPT IRR =12.46%
IRR using Financial Calculator (IRR of Project B at 5%)
CF0=-13;CF1=8;;CF2=7;CF3=3;CPT IRR =21.49%

IRR using Financial Calculator (IRR of Project A at 10%)
CF0=-20;CF1=5;CF2=9;CF3=12;CPT IRR =12.46%

IRR using Financial Calculator (IRR of Project B at 10%)
CF0=-13;CF1=8;;CF2=7;CF3=3;CPT IRR =21.49%

IRR using Financial Calculator (IRR of Project A at 15%)
CF0=-20;CF1=5;CF2=9;CF3=12;CPT IRR =12.46%

IRR using Financial Calculator (IRR of Project B at 15%)
CF0=-13;CF1=8;;CF2=7;CF3=3;CPT IRR =21.49%





c. At 5% Project A must be selected as it has Higher NPV
At 10% Project B must be selected as it has Higher NPV
At 15% Project B must be selected as it has Higher NPV


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