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numpy.ipmt() in Python
  • Last Updated : 29 Nov, 2018

numpy.ipmt(rate, nper, pv, fv, when = ‘end’) : This financial function helps user to compute payment value as per the interest only. i.e. returns the interest part.

Parameters :
rate : [scalar or (M, )array] Rate of interest as decimal (not per cent) per period
nper : [scalar or (M, )array] total compounding periods
fv : [scalar or (M, )array] Future value
pv : [scalar or (M, )array] present value
when : at the beginning (when = {‘begin’, 1}) or the end (when = {‘end’, 0}) of each period.Default is {‘end’, 0}

Return : Payment value ie. the interest part of it.

Equation being solved :

fv + pv*(1+rate)**nper + pmt*(1 + rate*when)/rate*((1 + rate)**nper – 1) == 0



or when rate == 0
fv + pv + pmt * nper == 0

Code:

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# Python program explaining 
# ipmt() function 
  
import numpy as np 
''' 
Question : 
  
monthly payment needed to pay off a $10, 000 loan
in 12 years at an annual interest rate of 60 %
'''
  
Solution = np.ipmt(0.6 / 12, 2 * 12, 1 * 12, 10000)
  
# Here fv = 0 ; Also Default value of fv = 0 
print("Solution - ipmt value : ", Solution) 

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Output:

Solution - ipmt value :  801.4432933339593

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