1. A project has and initial cost of $52,000, expected net cash inflows of $11,000 per year for 7 years, and a cost of capital of 9%.
a. What is the project’s NPV?
b. What is the project’s IRR?
c. What is the projects payback period?
a.Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate
=11000[1-(1.09)^-7]/0.09
=11000*5.032952835
=55362.48
NPV=Present value of inflows-Present value of outflows
=55362.48-$52000
=3362.48(Approx).
2.
Let irr be x%
At irr,present value of inflows=present value of outflows.
52,000=11,000/1.0x+11,000/1.0x^2+............+11,000/1.0x^7
Hence x=irr=10.90%(Approx).
3.Payback period=initial cost/annual cash flows
=(52,000/11,000)
=4.73 years(Approx).
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