Question

ABC Inc. is considering a project with following cash flow. Cash flow in parentheses denote negative...

ABC Inc. is considering a project with following cash flow. Cash flow in parentheses denote negative flows:

Year           Cash Flow

  1. (200,000)
  2. 120,000
  3. 120,000
  4. ?
  5. 120,000

K is 10 percent.The project’s modified internal rate of return (MIRR) is 16.38%.

  1. What is the expected cash flow in year 3?
  2. What is NPV of proeject?
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Answer #1

1.
((120000*1.1^3+120000*1.1^2+120000)/(200000+x/1.1^3))^(1/4)-1=16.38%
=>x=((120000*1.1^3+120000*1.1^2+120000)/(1+16.38%)^4-200000)*1.1^3
=>x=42098.78760368

Cash flow in year 3=-42098.78760368

2.
=-200000+120000/1.1+120000/1.1^2-42098.78760368/1.1^3+120000/1.1^4
=58596.63522707

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