numpy.fv() in Python

numpy.fv(rate, nper, pmt, pv, when = ‘end’) : This financial function helps user to compute future values.

Parameters :

rate : [scalar or (M, )array] Rate of interest as decimal (not per cent) per period
nper : [scalar or (M, )array] total compounding periods
pmt : [scalar or (M, )array] fixed payment
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 : 

value at the end of nper periods

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 1 : Working

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# Python program explaining fv() function
  
import numpy as np
'''
Question : 
  
Future value after 10 years of saving $100 now, 
with an additional monthly savings of $100. 
Assume the interest rate is 5% (annually) 
compounded monthly ?
'''
  
#                 rate       np      pmt    pv
Solution = np.fv(0.05/12, 10*12, -100, -100)
  
print("Solution : ", Solution)

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Output : 


Solution :  15692.9288943



References : 

https://docs.scipy.org/doc/numpy-1.13.0/reference/generated/numpy.fv.html#numpy.fv

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