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excelpv

I need to use PV instead of NPV in Excel. However I am not able to understand why it gives different values


I have a case where in I need 17,00,000 (end of 1st year) increased by 6% every year for 24 more years (so total 25 years). When I discount it using NPV with 10% rate, I get 2,56,64,794. However for this I have to use many cells for 17,00,000 compounding for 24 years and then discount with NPV for 25 years.

However I need to get the calculation done with PV. So for this I get real rate of return i.e.(10%-6%)/(1+6%) However when I use the PV formula with this rate and PMT as 17,00,000 (end of period payments), I get the value 2,72,04,681

Why do I get 2 different values? What am I missing here?

I need to get PV (as i need to lessen the calculations required) same as the NPV but cant wrap my head around the difference in results.

Calculations Formulas used


Solution

  • Thanks to @cbcalvin, got the answer by breaking down the cash flows year by year.

    PV is used for fixed cash flows in fututre whereas my requirement was for increasing PMT value.

    Use of NPV is wider, however in my case it gave a steadily increasing PMTs.

    For beginning of Year 1 values for both PV and NPV come to same when subtracted 17,00,000. Thus I get the following result in a single cell (marked in yellow) rather than calculating for every year and then discounting using NPV.

    My case was for end of period. For start of period it works straight forward without any changes to either formulas just by taking right interest rates.

    Calculations Formulas