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Along with that Kencan has been presented with an investment opportunity into Europe which will yield cash flows of $34,000 per year starting from 2019, Years 1 through 4, $35,000 per year in Years 5 through 9, and $45,000 in Year 10

Finance Dec 09, 2020

Along with that Kencan has been presented with an investment opportunity into Europe which will yield cash flows of $34,000 per year starting from 2019, Years 1 through 4, $35,000 per year in Years 5 through 9, and $45,000 in Year 10. This investment will cost the firm $130,000 today, and the firm's cost of capital is 9.5 percent with the assumption that the cash flows occur evenly during the year.

1)Calculate the payback period for Kencan Investment into Europe. (5 marks)

2)Calculate the Net Present Value (NPV) of Kencan Investment into Europe. (5 marks)

3)Calculate the Profitability Index (PI) of Kencan’s Investment into Europe. (2 marks)

4) Calculate the Internal Rate of Return (IRR) of Kencan’s Investment into Europe. 

Expert Solution

1. Payback period is the time it takes to retain the initial cost of investment

It receives102,000 in 3 years and the remaining 28,000 (130,000-102,000) in 4th year

In 4th year=28,000/34000=0.82

The payback period=3.82 years

cost of capital 9.5%
  Cashflows
Year0 -130000
Year1 34000
Year2 34000
Year3 34000
Year4 34000
Year5 35000
Year6 35000
Year7 35000
Year8 35000
Year9 35000
Year10 45000
   
NPV 90588.59
PI 1.70
IRR 23.42%

2.  Use NPV function in EXCEL to find the NPV

=NPV(rate,Year1 to Year10 cashflows)-Year0 cashflow

=NPV(9.5%,Year1 to Year10 cashflows)-130000=$90588.59

3. Use NPV function to find PI

PI=NPV(9.5%,Year1 to Year10 cashflows)/130000=1.70

4. Use IRR finction in EXCEL

=IRR(Year0 to Year10 cashflows)=23.42%

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