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

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
```

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