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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

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  • Anonymous
    1 decade ago
    Favorite 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 4
    5 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

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