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Help with NPV questions?
A project has an initial cost of $52,125, expected net cash inflows of $12,000 per year for 8 years, and a cost of capital of 12%. What is the project NPV? (Hint: begin by constructing a time line). What is the projects payback period?
3 Answers
- Anonymous1 decade agoFavorite Answer
N----CF---------PVIF(12%,N)----DCF----
0----($52,125)------------
1----$12,000----0.89286----$10,714.32
2----$12,000----0.79719----$9,566.28
3----$12,000----0.71178----$8,541.36
4----$12,000----0.63552----$7,626.24
5----$12,000----0.56743----$6,809.16
6----$12,000----0.50663----$6,079.56
7----$12,000----0.45235----$5,428.20
8----$12,000----0.40388----$4,846.56
-------------------------------------
------Sum of DCF-----------$59,611.68
NPV = $59,611.68 - $52,125
NPV = $7,486.68
Discounted Payback Period
N----CF---------PVIF(12%,N)--DCF---------CDCF
0----($52,125)(p)
1----$12,000----0.89286----$10,714.32----$10,714.32
2----$12,000----0.79719----$9,566.28----$20,280.60
3----$12,000----0.71178----$8,541.36----$28,821.96
4----$12,000----0.63552----$7,626.24----$36,448.20
5----$12,000----0.56743----$6,809.16----$43,257.36
6(q)-$12,000----0.50663----$6,079.56----$49,336.92(r)
7----$12,000----0.45235----$5,428.20(s)-$54,765.12
8----$12,000----0.40388----$4,846.56----$59,611.68
As you see the Year before recovery is 6
To get the remaining months out of the 7th Year, we do the following calculations
=($52,125-49,336.92)/5,428
=0.514 years
or 0.514 x 12 months
= 7 months
Discounted Payback Period is 6 years and 7 months
Regular Payback Calculation
N----CF---------CCF
0----($52,125)(p)
1----$12,000----$12,000
2----$12,000----$24,000
3----$12,000----$36,000
4(q)-$12,000----$48,000(r)
5----$12,000(s)-$60,000
6----$12,000----$72,000
7----$12,000----$84,000
8----$12,000----$96,000
Year before recovery is 4
To get the remaining months out of Year 5, we do the following calculations
=(52,125-48,000)/12,000
=0.34 years
=0.34 x 12 months
=5 months
Thus Regular Payback Period is 4 years and 5 months
Source(s): NPV Equation http://thinkanddone.com/blog/2010/05/04/npv-equati... NPV Calculation http://thinkanddone.com/blog/2010/05/04/npv-calcul... Online NPV Calculator http://finance.thinkanddone.com/npv.html Online Payback Period Calculator http://finance.thinkanddone.com/payback-period.htm... Online Discounted Payback Period Calculator http://finance.thinkanddone.com/discounted-payback... Numerical Methods to find NPV, Payback and Discounted Payback Period http://thinkanddone.com/forum/viewtopic.php?f=11&t... - 1 decade ago
using the CF function on a Financial Calculator your NPV would equal $111,736.68. Payback period would be 52125 / 12000 = 4.34 years
Source(s): Senior Finance Major - ?Lv 45 years ago
Investment 5.7 mil Cash Flow: 20.0 - 12.0 = 8.0 less 35% tax = 5.2 + 1.05 (35% tax saved on 3.0 deprc) = 6.25 PV of 6.25 (R 12%) = 5.58 NPV: 5.7 - 5.58 = .12, or 120,000 Positive