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NPV and IRR Calculations when Cash Flows Change

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    NPV and IRR Calculations when Cash Flows Change

    All

    Am new here and apologize in advance if this question has been asked.

    The case involves how to compare and calculate NPV/IRR when project cash flows change, and how best to compare the new NPV/IRR values with the original NPV/IRR, as follows:

    A B
    year original cash flows cash flows new in yr 4 Comments
    0 -100 -100 investment at end of yr 0
    1 -10 -10
    2 -10 -10
    3 -10 -10 costs change and sales price change so new cash flows
    4 -10 -50
    5 -10 -50
    6 150 200
    7 150 200
    Total 150 170
    NPV10 $21.6 ???
    IRR 13% ???

    Scenario
    Original NPV calculated for cash flows in column A.
    While project is in progress in year 3, costs and prices change so cash flows have been revised as shown in column B

    Questions:

    How to calculate NPV and IRR so comparison between Columns A and B - how have NPV/IRR changed?
    Should Column A & B cash flows be discounted starting at Yr 3, or at Yr 0?
    If discounted starting at Yr 3, what would the excel formula be to compare Column A and B cash flows?

    Apologies for the table formatting above - not sure how to insert an excel item - it looks fine when I edit it but when posted formatting is gone.

    Thanks in advance for any comments.
    Last edited by kevinindonesia; 12-04-2018 at 06:42 PM.

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    Re: NPV and IRR Calculations when Cash Flows Change

    If I enter =NPV(0.1,A cash flows), I get 21.58. =IRR(A cash flows) gives 13.09% -- in line with what you show in your OP. I don't understand what you are wanting to do. Wouldn't you just enter NPV(0.1,B cash flows) and IRR(B cash flows) to get the NPV and IRR for that scenario (23.15 and 12.96%)? Then make any comparison that you would want to do (Scenario B seems to have a larger NPV and a slightly smaller rate of return)?
    Quote Originally Posted by shg
    Mathematics is the native language of the natural world. Just trying to become literate.

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    Re: NPV and IRR Calculations when Cash Flows Change

    MrShorty

    Thanks for the reply.

    The problem I have is discounting cash flows in column A from time 0, and comparing that to someone discounting cash flows in Column B but doing
    the discounting starting in in year 3 - well after project startup.

    I believe discounting Column B cash flow formula, starting in yr 3, is NPV(.1,-10,-10,-50,-50,200,200)+(-100-10-10)=$52.81, rather than the $23.15 you correctly calculate below for NPV10 of Column B.

    So I don't think discounting at Yr 3 is equivalent to discounting at Yr 0, but others contend that the comparison is valid and shows that project NPV has improved substantially.

    Hope that makes my problem clear - I'm not sure my discounting at yr 3 NPV formula is correct.

    Thanks again

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    Re: NPV and IRR Calculations when Cash Flows Change

    I am familiar with the basic syntax of these functions, and I can easily lookup the syntax of functions I don't know in the help files, but I do not know much about finance and business math. It sounds like you understand the syntax of the NPV() function, but are not sure of the business math side of the question about how to correctly compute the NPV for the second scenario. I'm afraid I cannot help with that. I know we have a few users here who are savvy about financial calculations, who may be able to advise you on the correct approach for this NPV problem. Once someone comes on an explains the applicable business math principles, they (or any of us) can probably help with the Excel function syntax.

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    Re: NPV and IRR Calculations when Cash Flows Change

    MrShorty

    Thanks.

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