numpy.rate()

numpy.rate(nper, pmt, pv, fv, when='end', guess=0.1, tol=1e-06, maxiter=100) [source]

Compute the rate of interest per period.

Parameters:

Parameters:	nper : array_like Number of compounding periods pmt : array_like Payment pv : array_like Present value fv : array_like Future value when : {{?begin?, 1}, {?end?, 0}}, {string, int}, optional When payments are due (?begin? (1) or ?end? (0)) guess : float, optional Starting guess for solving the rate of interest tol : float, optional Required tolerance for the solution maxiter : int, optional Maximum iterations in finding the solution

nper : array_like

Number of compounding periods

pmt : array_like

Payment

pv : array_like

Present value

fv : array_like

Future value

when : {{?begin?, 1}, {?end?, 0}}, {string, int}, optional

When payments are due (?begin? (1) or ?end? (0))

guess : float, optional

Starting guess for solving the rate of interest

tol : float, optional

Required tolerance for the solution

maxiter : int, optional

Maximum iterations in finding the solution

Notes

The rate of interest is computed by iteratively solving the (non-linear) equation:

fv + pv*(1+rate)**nper + pmt*(1+rate*when)/rate * ((1+rate)**nper - 1) = 0

for rate.

References

Wheeler, D. A., E. Rathke, and R. Weir (Eds.) (2009, May). Open Document Format for Office Applications (OpenDocument)v1.2, Part 2: Recalculated Formula (OpenFormula) Format - Annotated Version, Pre-Draft 12. Organization for the Advancement of Structured Information Standards (OASIS). Billerica, MA, USA. [ODT Document]. Available: http://www.oasis-open.org/committees/documents.php?wg_abbrev=office-formula OpenDocument-formula-20090508.odt

Links:

https://docs.scipy.org/doc/numpy-1.11.0/reference/generated/numpy.rate.html

doc_NumPy

2017-01-10 18:18:22

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