Increasing payment in future value formula? in Excel Worksheet Functions  
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AXPJESTER 5/6/2005 12:49 PM PST
  Question
  Can I use an increasing payment in a future value formula in 2002 Excel?
 
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Fred Smith 5/7/2005 4:10 PM PST
  Answer
  No you can't. FV assumes a constant payment. The formula to calculate the
future value of a payment invested at i% increasing j% every period is:

FV=PMT * ((1+i)^n - (1+j)^n) / (i-j)

--
Regards,
Fred
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"AXPJESTER" <AXPJESTER@discussions.microsoft.com> wrote in message
news:6FFC5815-31CF-4D2C-B953-CE57B3939726@microsoft.com...
> Can I use an increasing payment in a future value formula in 2002 Excel?


 
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Rob Kramer 8/3/2007 3:55 PM PST
   
  Yes you can but you need to write it yourself. the Present Value function for
increasing payments is:

PV*(1+r)^n + pmt*((1+r)^n - (1+i)^n))/(r-i) + FV = 0

where:
i = rate of pmt increase per period
r = interest rate per period
n = number of payment periods
pmt = payment made each period
FV = Future value after last paytment is made

If payment is fixed, or i=0, then the formula becomes the familiar

PV*(1+r)^n + pmt*((1+r)^n - 1)/r + FV = 0

as documented in the excel PV function

Payment at month j is:

pmt*(1+i)^j

Let me know if you have any questions or comments. I would be glad to show
how I derived this formula


"AXPJESTER" wrote:

> Can I use an increasing payment in a future value formula in 2002 Excel?
 
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