numpy.pv () in Python

Parameters :

rate: [array_like] Rate of interest as decimal (not per cent) per period
nper: [array_like] total compounding periods
pmt: [array_like] fixed payment
fv: [array_like, optional ] future value. Default = 0.0
when: at the beginning (when = {`begin`, 1}) or the end (when = {`end`, 0}) of each period. Default is {`end`, 0}

Return:

 present value as per given parameters. 

Solving the equation:

 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 the pv () function

 

import numpy as np

"" "
Question:

 
What is the current value (eg initial investment)
investment that should be $ 15692.93 after 10
years of saving $ 100 each month?
Pre Let`s assume the interest rate is 5% (per annum) monthly.
"" "

  
# evaluate np pmt fv

Solution = np.pv ( 0.05 / 12 , 10 * 12 , - 100 , 15692.93 )

 

print ( "present value (fv):" , Solution)

Output:

 p resent value (fv): -100.000671316 

Link:
https://docs.scipy.org/doc/numpy-1.13.0/reference/generated/numpy.pv.html