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 Microsoft Excel > Functions > Financial > RATE

 

RATE(nper, pmt, pv [,fv] [,type] [,guess])

 
 Returns the interest rate per period of an annuity.

 nperThe total number of payments.
 pmtThe fixed payment made each period.
 pvThe present value.
 fvThe future value (or cash balance) after all the payments.
 typeThe number indicating when the payments are due:
0 = the end of the period
1 = the start of the period
 guessAn estimate as to what the rate will be.

 REMARKS
 
  • The present value is the total amount that a series of future payments is worth now.
     
  • This function is calculated by iteration and can have zero or more solutions.
     
  • If the successive results of this function do not converge to within 0.0000001 after 20 iterations, then #NUM! is returned.
     
  • If the function does not converge, you should try different values for the "guess". The function will usually converges when the "guess" is between 0 and 1.
     
  • If "pmt" is left blank, then you must include "fv".
     
  • The "pmt" value typically includes principal and interest but no other fees or taxes.
     
  • If "fv" is left blank, then 0 is used.
     
  • If "type" is left blank, then 0 is used.
     
  • If "type" = 0, then payments are made in arrears.
     
  • If "guess" is left blank, then 10% is used.
     
  • The "guess" and "nper" must be expressed in the same units of time: years, months or days.
     
  • If you make annual payments on a four year loan at 12% annual interest, the "guess" should be 12% and the "nper" should be 4.
     
  • If you make monthly payments on a four year loan at 12% annual interest, the "guess" should be 12%/12 and the "nper" should be 4*12.
     
  • Example 1 - What has been the average annual growth rate for an investment of £2,000 is worth £3,000 after 7 years.
     
  • Example 2 - This is checking the answer in Example 1.
     
  • Example 3 - What is my average annual return if I had £10,000 six years ago and after making a deposit of £5,000 at the end of every year I currently have £55,000.

     EXAMPLES
     
     A
    1=RATE(7,0,-2000,3000) = 5.96%
    2=FV(0.059634,7,,-2000) = £3,000
    3=RATE(6,-5000,-10000,55000) = 9.33%
     

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