Question

Home Security Systems is analyzing the purchase of manufacturing equipment that will cost $95,000. The annual cash inflows for the next three years will be:

Home Security Systems is analyzing the purchase of manufacturing equipment that will cost $95,000. The annual cash inflows for the next three years will be:
 

YearCash Flow
1
$48,000
2

46,000
3

41,000


Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the financial calculator method.


a. Determine the internal rate of return. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
  


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Answer #1

Let irr be x%
At irr,present value of inflows=present value of outflows.

Hence

95000=48000/1.0x+46000/1.0x^2+41000/1.0x^3

Hence x=IRR=20.463%.(Approx)

=20.46%(Approx).

b.Since IRR is greater than cost of capital,equipment should be purchased.

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