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OBWM_Daniel_O's avatar
OBWM_Daniel_O
Copper Contributor
May 21, 2025

"Reverse FV" function? Or?

Hi all, I need some help please.

I would like formula for excel, where I have known inputs:
A1 = 30 (number of years)
A2 = 500000 (needed capital)
A3 = 8% (known yearly return of investment p.a.)
A4 = 10000 (initial investment)

and I need to calculate needed monthly investment, to reach that required sum (in A2).

Thank you very much for your help and time.

Daniel

7 Replies

  • NikolinoDE's avatar
    NikolinoDE
    Gold Contributor

    If you're looking for an alternative way to calculate the required monthly investment (not using PMT), you can also derive it using the future value of a series formula and solve it algebraically.

     

    = (A2 - A4 * (1 + A3/12)^(A1*12)) / (((1 + A3/12)^(A1*12) - 1) / (A3/12))

     

    This is mathematically identical to PMT, but avoids using built-in financial functions — useful if:

    You want to understand what's happening behind the scenes.

    You’re building a custom financial model.

    You're using software without PMT.

     

    ...otherwise, for the sake of simplicity, I recommend the formula suggested by Mr. Vogelaar 🙂.

    • OBWM_Daniel_O's avatar
      OBWM_Daniel_O
      Copper Contributor

      Thank you very much Nikolino!
      Can you recommend me also algebraical function as a replacement of POWER function from Excel?
      I mean:

      A1 = 100% (total return)
      A2 = 10 (years of investment)
      A3 = needed yearly return (p.a.) which I need to extract

      Now I am using POWER function inside Excel, but if there is algebraical formula for this, it will be much appreciated 😁

      Thank you!

    • OBWM_Daniel_O's avatar
      OBWM_Daniel_O
      Copper Contributor

      Hello Hans,

      thank you for your reply. I have tried it with that exact numbers from my example, but it returns wrong number (4267,78). Also when I enter initial investment to zero (0 to A4), result only change to 4274,49.

      What am I doing wrong please?

      Thank you! D.

      • HansVogelaar's avatar
        HansVogelaar
        MVP

        Sorry, my bad - I switched two arguments.

        =PMT(A3/12, 12*A1, A4, -A2)

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