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-rw-r--r--numpy/lib/financial.py177
1 files changed, 158 insertions, 19 deletions
diff --git a/numpy/lib/financial.py b/numpy/lib/financial.py
index 216687475..a011e52a9 100644
--- a/numpy/lib/financial.py
+++ b/numpy/lib/financial.py
@@ -12,6 +12,7 @@ otherwise stated.
"""
from __future__ import division, absolute_import, print_function
+import warnings
from decimal import Decimal
import functools
@@ -19,6 +20,10 @@ import numpy as np
from numpy.core import overrides
+_depmsg = ("numpy.{name} is deprecated and will be removed from NumPy 1.20. "
+ "Use numpy_financial.{name} instead "
+ "(https://pypi.org/project/numpy-financial/).")
+
array_function_dispatch = functools.partial(
overrides.array_function_dispatch, module='numpy')
@@ -45,6 +50,8 @@ def _convert_when(when):
def _fv_dispatcher(rate, nper, pmt, pv, when=None):
+ warnings.warn(_depmsg.format(name='fv'),
+ DeprecationWarning, stacklevel=3)
return (rate, nper, pmt, pv)
@@ -53,6 +60,12 @@ def fv(rate, nper, pmt, pv, when='end'):
"""
Compute the future value.
+ .. deprecated:: 1.18
+
+ `fv` is deprecated; for details, see NEP 32 [1]_.
+ Use the corresponding function in the numpy-financial library,
+ https://pypi.org/project/numpy-financial.
+
Given:
* a present value, `pv`
* an interest `rate` compounded once per period, of which
@@ -100,7 +113,9 @@ def fv(rate, nper, pmt, pv, when='end'):
References
----------
- .. [WRW] Wheeler, D. A., E. Rathke, and R. Weir (Eds.) (2009, May).
+ .. [1] NumPy Enhancement Proposal (NEP) 32,
+ https://numpy.org/neps/nep-0032-remove-financial-functions.html
+ .. [2] 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
@@ -109,6 +124,7 @@ def fv(rate, nper, pmt, pv, when='end'):
http://www.oasis-open.org/committees/documents.php?wg_abbrev=office-formula
OpenDocument-formula-20090508.odt
+
Examples
--------
What is the future value after 10 years of saving $100 now, with
@@ -139,6 +155,8 @@ def fv(rate, nper, pmt, pv, when='end'):
def _pmt_dispatcher(rate, nper, pv, fv=None, when=None):
+ warnings.warn(_depmsg.format(name='pmt'),
+ DeprecationWarning, stacklevel=3)
return (rate, nper, pv, fv)
@@ -147,6 +165,12 @@ def pmt(rate, nper, pv, fv=0, when='end'):
"""
Compute the payment against loan principal plus interest.
+ .. deprecated:: 1.18
+
+ `pmt` is deprecated; for details, see NEP 32 [1]_.
+ Use the corresponding function in the numpy-financial library,
+ https://pypi.org/project/numpy-financial.
+
Given:
* a present value, `pv` (e.g., an amount borrowed)
* a future value, `fv` (e.g., 0)
@@ -204,7 +228,9 @@ def pmt(rate, nper, pv, fv=0, when='end'):
References
----------
- .. [WRW] Wheeler, D. A., E. Rathke, and R. Weir (Eds.) (2009, May).
+ .. [1] NumPy Enhancement Proposal (NEP) 32,
+ https://numpy.org/neps/nep-0032-remove-financial-functions.html
+ .. [2] 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
@@ -237,6 +263,8 @@ def pmt(rate, nper, pv, fv=0, when='end'):
def _nper_dispatcher(rate, pmt, pv, fv=None, when=None):
+ warnings.warn(_depmsg.format(name='nper'),
+ DeprecationWarning, stacklevel=3)
return (rate, pmt, pv, fv)
@@ -245,6 +273,12 @@ def nper(rate, pmt, pv, fv=0, when='end'):
"""
Compute the number of periodic payments.
+ .. deprecated:: 1.18
+
+ `nper` is deprecated; for details, see NEP 32 [1]_.
+ Use the corresponding function in the numpy-financial library,
+ https://pypi.org/project/numpy-financial.
+
:class:`decimal.Decimal` type is not supported.
Parameters
@@ -270,6 +304,11 @@ def nper(rate, pmt, pv, fv=0, when='end'):
fv + pv + pmt*nper = 0
+ References
+ ----------
+ .. [1] NumPy Enhancement Proposal (NEP) 32,
+ https://numpy.org/neps/nep-0032-remove-financial-functions.html
+
Examples
--------
If you only had $150/month to pay towards the loan, how long would it take
@@ -311,6 +350,8 @@ def nper(rate, pmt, pv, fv=0, when='end'):
def _ipmt_dispatcher(rate, per, nper, pv, fv=None, when=None):
+ warnings.warn(_depmsg.format(name='ipmt'),
+ DeprecationWarning, stacklevel=3)
return (rate, per, nper, pv, fv)
@@ -319,6 +360,12 @@ def ipmt(rate, per, nper, pv, fv=0, when='end'):
"""
Compute the interest portion of a payment.
+ .. deprecated:: 1.18
+
+ `ipmt` is deprecated; for details, see NEP 32 [1]_.
+ Use the corresponding function in the numpy-financial library,
+ https://pypi.org/project/numpy-financial.
+
Parameters
----------
rate : scalar or array_like of shape(M, )
@@ -354,6 +401,11 @@ def ipmt(rate, per, nper, pv, fv=0, when='end'):
``pmt = ppmt + ipmt``
+ References
+ ----------
+ .. [1] NumPy Enhancement Proposal (NEP) 32,
+ https://numpy.org/neps/nep-0032-remove-financial-functions.html
+
Examples
--------
What is the amortization schedule for a 1 year loan of $2500 at
@@ -422,6 +474,8 @@ def _rbl(rate, per, pmt, pv, when):
def _ppmt_dispatcher(rate, per, nper, pv, fv=None, when=None):
+ warnings.warn(_depmsg.format(name='ppmt'),
+ DeprecationWarning, stacklevel=3)
return (rate, per, nper, pv, fv)
@@ -430,6 +484,12 @@ def ppmt(rate, per, nper, pv, fv=0, when='end'):
"""
Compute the payment against loan principal.
+ .. deprecated:: 1.18
+
+ `ppmt` is deprecated; for details, see NEP 32 [1]_.
+ Use the corresponding function in the numpy-financial library,
+ https://pypi.org/project/numpy-financial.
+
Parameters
----------
rate : array_like
@@ -450,12 +510,19 @@ def ppmt(rate, per, nper, pv, fv=0, when='end'):
--------
pmt, pv, ipmt
+ References
+ ----------
+ .. [1] NumPy Enhancement Proposal (NEP) 32,
+ https://numpy.org/neps/nep-0032-remove-financial-functions.html
+
"""
total = pmt(rate, nper, pv, fv, when)
return total - ipmt(rate, per, nper, pv, fv, when)
def _pv_dispatcher(rate, nper, pmt, fv=None, when=None):
+ warnings.warn(_depmsg.format(name='pv'),
+ DeprecationWarning, stacklevel=3)
return (rate, nper, nper, pv, fv)
@@ -464,6 +531,12 @@ def pv(rate, nper, pmt, fv=0, when='end'):
"""
Compute the present value.
+ .. deprecated:: 1.18
+
+ `pv` is deprecated; for details, see NEP 32 [1]_.
+ Use the corresponding function in the numpy-financial library,
+ https://pypi.org/project/numpy-financial.
+
Given:
* a future value, `fv`
* an interest `rate` compounded once per period, of which
@@ -510,7 +583,9 @@ def pv(rate, nper, pmt, fv=0, when='end'):
References
----------
- .. [WRW] Wheeler, D. A., E. Rathke, and R. Weir (Eds.) (2009, May).
+ .. [1] NumPy Enhancement Proposal (NEP) 32,
+ https://numpy.org/neps/nep-0032-remove-financial-functions.html
+ .. [2] 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
@@ -567,6 +642,8 @@ def _g_div_gp(r, n, p, x, y, w):
def _rate_dispatcher(nper, pmt, pv, fv, when=None, guess=None, tol=None,
maxiter=None):
+ warnings.warn(_depmsg.format(name='rate'),
+ DeprecationWarning, stacklevel=3)
return (nper, pmt, pv, fv)
@@ -582,6 +659,12 @@ def rate(nper, pmt, pv, fv, when='end', guess=None, tol=None, maxiter=100):
"""
Compute the rate of interest per period.
+ .. deprecated:: 1.18
+
+ `rate` is deprecated; for details, see NEP 32 [1]_.
+ Use the corresponding function in the numpy-financial library,
+ https://pypi.org/project/numpy-financial.
+
Parameters
----------
nper : array_like
@@ -612,13 +695,16 @@ def rate(nper, pmt, pv, fv, when='end', guess=None, tol=None, maxiter=100):
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
+ .. [1] NumPy Enhancement Proposal (NEP) 32,
+ https://numpy.org/neps/nep-0032-remove-financial-functions.html
+ .. [2] 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
"""
when = _convert_when(when)
@@ -651,6 +737,8 @@ def rate(nper, pmt, pv, fv, when='end', guess=None, tol=None, maxiter=100):
def _irr_dispatcher(values):
+ warnings.warn(_depmsg.format(name='irr'),
+ DeprecationWarning, stacklevel=3)
return (values,)
@@ -659,6 +747,12 @@ def irr(values):
"""
Return the Internal Rate of Return (IRR).
+ .. deprecated:: 1.18
+
+ `irr` is deprecated; for details, see NEP 32 [1]_.
+ Use the corresponding function in the numpy-financial library,
+ https://pypi.org/project/numpy-financial.
+
This is the "average" periodically compounded rate of return
that gives a net present value of 0.0; for a more complete explanation,
see Notes below.
@@ -693,13 +787,15 @@ def irr(values):
+ \\frac{55}{(1+r)^3} + \\frac{20}{(1+r)^4} = 0
In general, for `values` :math:`= [v_0, v_1, ... v_M]`,
- irr is the solution of the equation: [G]_
+ irr is the solution of the equation: [2]_
.. math:: \\sum_{t=0}^M{\\frac{v_t}{(1+irr)^{t}}} = 0
References
----------
- .. [G] L. J. Gitman, "Principles of Managerial Finance, Brief," 3rd ed.,
+ .. [1] NumPy Enhancement Proposal (NEP) 32,
+ https://numpy.org/neps/nep-0032-remove-financial-functions.html
+ .. [2] L. J. Gitman, "Principles of Managerial Finance, Brief," 3rd ed.,
Addison-Wesley, 2003, pg. 348.
Examples
@@ -715,8 +811,6 @@ def irr(values):
>>> round(np.irr([-5, 10.5, 1, -8, 1]), 5)
0.0886
- (Compare with the Example given for numpy.lib.financial.npv)
-
"""
# `np.roots` call is why this function does not support Decimal type.
#
@@ -736,6 +830,8 @@ def irr(values):
def _npv_dispatcher(rate, values):
+ warnings.warn(_depmsg.format(name='npv'),
+ DeprecationWarning, stacklevel=3)
return (values,)
@@ -744,6 +840,12 @@ def npv(rate, values):
"""
Returns the NPV (Net Present Value) of a cash flow series.
+ .. deprecated:: 1.18
+
+ `npv` is deprecated; for details, see NEP 32 [1]_.
+ Use the corresponding function in the numpy-financial library,
+ https://pypi.org/project/numpy-financial.
+
Parameters
----------
rate : scalar
@@ -763,23 +865,48 @@ def npv(rate, values):
The NPV of the input cash flow series `values` at the discount
`rate`.
+ Warnings
+ --------
+ ``npv`` considers a series of cashflows starting in the present (t = 0).
+ NPV can also be defined with a series of future cashflows, paid at the
+ end, rather than the start, of each period. If future cashflows are used,
+ the first cashflow `values[0]` must be zeroed and added to the net
+ present value of the future cashflows. This is demonstrated in the
+ examples.
+
Notes
-----
- Returns the result of: [G]_
+ Returns the result of: [2]_
.. math :: \\sum_{t=0}^{M-1}{\\frac{values_t}{(1+rate)^{t}}}
References
----------
- .. [G] L. J. Gitman, "Principles of Managerial Finance, Brief," 3rd ed.,
+ .. [1] NumPy Enhancement Proposal (NEP) 32,
+ https://numpy.org/neps/nep-0032-remove-financial-functions.html
+ .. [2] L. J. Gitman, "Principles of Managerial Finance, Brief," 3rd ed.,
Addison-Wesley, 2003, pg. 346.
Examples
--------
- >>> np.npv(0.281,[-100, 39, 59, 55, 20])
- -0.0084785916384548798 # may vary
+ Consider a potential project with an initial investment of $40 000 and
+ projected cashflows of $5 000, $8 000, $12 000 and $30 000 at the end of
+ each period discounted at a rate of 8% per period. To find the project's
+ net present value:
+
+ >>> rate, cashflows = 0.08, [-40_000, 5_000, 8_000, 12_000, 30_000]
+ >>> np.npv(rate, cashflows).round(5)
+ 3065.22267
- (Compare with the Example given for numpy.lib.financial.irr)
+ It may be preferable to split the projected cashflow into an initial
+ investment and expected future cashflows. In this case, the value of
+ the initial cashflow is zero and the initial investment is later added
+ to the future cashflows net present value:
+
+ >>> initial_cashflow = cashflows[0]
+ >>> cashflows[0] = 0
+ >>> np.round(np.npv(rate, cashflows) + initial_cashflow, 5)
+ 3065.22267
"""
values = np.asarray(values)
@@ -787,6 +914,8 @@ def npv(rate, values):
def _mirr_dispatcher(values, finance_rate, reinvest_rate):
+ warnings.warn(_depmsg.format(name='mirr'),
+ DeprecationWarning, stacklevel=3)
return (values,)
@@ -795,6 +924,12 @@ def mirr(values, finance_rate, reinvest_rate):
"""
Modified internal rate of return.
+ .. deprecated:: 1.18
+
+ `mirr` is deprecated; for details, see NEP 32 [1]_.
+ Use the corresponding function in the numpy-financial library,
+ https://pypi.org/project/numpy-financial.
+
Parameters
----------
values : array_like
@@ -811,6 +946,10 @@ def mirr(values, finance_rate, reinvest_rate):
out : float
Modified internal rate of return
+ References
+ ----------
+ .. [1] NumPy Enhancement Proposal (NEP) 32,
+ https://numpy.org/neps/nep-0032-remove-financial-functions.html
"""
values = np.asarray(values)
n = values.size