Question

************************ I've done the work and got it wrong My wrong answers: NPV: 535.16 ROR: 9.81%...

************************
I've done the work and got it wrong
My wrong answers:
NPV: 535.16
ROR: 9.81%
Please help
**************************

This question is based on the following cash flows

C0=$10,000 I1=$2,000 I2=$2,000 I3=$3,000 I4=$3,000 I5=$2,500 L=$1,000
0 1 2 3 4 5

C: Cost, I: Income, L: Salvage

The escalation rate is 10% per year in this example.

Part 1

Calculate the escalated dollar ROR for this investment.

Part 2

Calculate the NPV of this investment assuming an escalated dollar minimum rate of return of 8%

Homework Answers

Answer #1

Given present value of cash outflows =$10,000

calculation of present value of cash inflows : (in $)

Year cash inflows p.v.f @10% p.v cash inflows@10% p.v.f@8% p.v cash inflows @8%
1 2000 0.909 1818 0.926 1852
2 2000 0.826 1652 0.857 1714
3 3000 0.751 2253 0.794 2382
4 3000 0.683 2049 0.735 2205
5 3500(2500+1000) 0.621 2173.5 0.681 2383.5
Total : 9945.5 10536.5

calculation of IRR :

NPV at 8%=$10,536.5-$10,000

=$536.5

IRR=Smalldisc rate+NPV@8%/INF@8%-INF@10%*(dif b/w rat)

IRR=8%+$536.5/$10536.5-$9945.5*(10%-8%)

=8%+$536.5/$591*2%

=8%+1.81%

=9.81%

Escalated dollar ROR for this investment=9.81%

calculation of NPV@8%:

p.V of cash outflows =$10,000

P.v of cash inflows @8%=$10,536.5

NPV=P.V OF CASH INFLOWS -P. V OF CASH OUTFLOWS

NPV=$10,536.5-$10,000

=$536.5

NPV AT 8%=$536.5

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