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A company is considering two mutually exclusive expansion plans

Finance Nov 27, 2020

A company is considering two mutually exclusive expansion plans. Plan A requires a $41 million expenditure on a large-scale integrated plant that would provide expected cash flows of $6.55 million per year for 20 years. Plan B requires a $12 million expenditure to build a somewhat less efficient, more labor-intensive plant with an expected cash flow of $2.69 million per year for 20 years. The firm's WACC is 9%.

  1. Calculate each project's NPV. Enter your answers in millions. For example, an answer of $10,550,000 should be entered as 10.55. Do not round intermediate calculations. Round your answers to two decimal places.

    Plan A:     $   million

    Plan B:     $   million

    Calculate each project's IRR. Round your answers to one decimal place.

    Plan A:     %

    Plan B:     %

  2. By graphing the NPV profiles for Plan A and Plan B, determine the crossover rate. Round your answer to the nearest whole number.
    %
  3. Calculate the crossover rate where the two projects' NPVs are equal. Round your answer to one decimal place.
    %
  4. Is NPV better than IRR for making capital budgeting decisions that add to shareholder value?

Expert Solution

  Plan A Plan B
a) NPV $18.79 million   $12.56 million
IRR 15.00% 22.00%
c) Crossover rate 11.91%  

b) NPV profile is created with the following data. The crossover rate is determined as the point where the NPVs meet which is close to 12%. By IRR method, the Crossover rate is 11.91%

NPV Profile    
Rate Plan A    Plan B
8% $23.31 $14.41
9% $18.79 $12.56
10% $14.76 $10.90
11% $11.16 $9.42
12% $7.92 $8.09
13% $5.01 $6.90
14% $2.38 $5.82
15% $0.00 $4.84

 

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