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

# 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)

Output :

Solution :  15692.9288943

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