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 = {âbeginâ, 1}) or the end (when = {âendâ, 0}) of each period. Default is {âendâ, 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
# 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
.