# numpy.nper() in Python

`numpy.pmt(rate, pmt, pv, fv, when = ‘end’) `: This financial function helps user to compute number of periodic payments.

Parameters :
rate : [scalar or (M, )array] Rate of interest as decimal (not per cent) per period
pmt : [scalar or (M, )array] Payment value
fv : [scalar or (M, )array] Future value
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 : Number of periodic payments.

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:

 `# Python program explaining  ` `# pmt() function  ` ` `  `import` `numpy as np  ` ` `  `'''  ` `Question :  ` ` `  `how much time would it take to pay-off a loan of  ` `\$10, 000 at 10 % annual rate of interest, if we had  ` `\$100 to pay each month ?  ` `'''` ` `  `# rate    pmt    pv  ` `Solution ``=` `np.nper(``0.1` `/` `12``, ``-``100``, ``10000``)  ` ` `  `# Here fv = 0 ; Also Default value of fv = 0  ` `print``(``"Solution - No. of periods : % f months"` `%``(Solution))  `

Output:

```Solution - No. of periods : 215.905777 months
```

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