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Example 1
def remain_necessary_for_retirement(self):
assets_required = -self.assets_required()
rate_target_profitability = self.financial_planning. \
real_gain_related_cdi()
years_for_retirement = self.financial_planning.duration()
current_net_investment = self.financial_planning.patrimony.\
current_net_investment()
total = numpy.pmt(rate_target_profitability, years_for_retirement,
current_net_investment, assets_required)
total /= 12
if total < 0:
total = 0
return total
# Will be considerate only goals that represent properties and equity
# interests Example 2
def test_pmt(self):
res = np.pmt(0.08/12, 5*12, 15000)
tgt = -304.145914
assert_allclose(res, tgt)
# Test the edge case where rate == 0.0
res = np.pmt(0.0, 5*12, 15000)
tgt = -250.0
assert_allclose(res, tgt)
# Test the case where we use broadcast and
# the arguments passed in are arrays.
res = np.pmt([[0.0, 0.8],[0.3, 0.8]],[12, 3],[2000, 20000])
tgt = np.array([[-166.66667, -19311.258],[-626.90814, -19311.258]])
assert_allclose(res, tgt) Example 3
def _rbl(rate, per, pmt, pv, when):
"""
This function is here to simply have a different name for the 'fv'
function to not interfere with the 'fv' keyword argument within the 'ipmt'
function. It is the 'remaining balance on loan' which might be useful as
it's own function, but is easily calculated with the 'fv' function.
"""
return fv(rate, (per - 1), pmt, pv, when) Example 4
def ppmt(rate, per, nper, pv, fv=0.0, when='end'):
"""
Compute the payment against loan principal.
Parameters
----------
rate : array_like
Rate of interest (per period)
per : array_like, int
Amount paid against the loan changes. The `per` is the period of
interest.
nper : array_like
Number of compounding periods
pv : array_like
Present value
fv : array_like, optional
Future value
when : {{'begin', 1}, {'end', 0}}, {string, int}
When payments are due ('begin' (1) or 'end' (0))
See Also
--------
pmt, pv, ipmt
"""
total = pmt(rate, nper, pv, fv, when)
return total - ipmt(rate, per, nper, pv, fv, when) Example 5
def test_pmt(self):
res = np.pmt(0.08/12, 5*12, 15000)
tgt = -304.145914
assert_allclose(res, tgt)
# Test the edge case where rate == 0.0
res = np.pmt(0.0, 5*12, 15000)
tgt = -250.0
assert_allclose(res, tgt)
# Test the case where we use broadcast and
# the arguments passed in are arrays.
res = np.pmt([[0.0, 0.8],[0.3, 0.8]],[12, 3],[2000, 20000])
tgt = np.array([[-166.66667, -19311.258],[-626.90814, -19311.258]])
assert_allclose(res, tgt) Example 6
def _rbl(rate, per, pmt, pv, when):
"""
This function is here to simply have a different name for the 'fv'
function to not interfere with the 'fv' keyword argument within the 'ipmt'
function. It is the 'remaining balance on loan' which might be useful as
it's own function, but is easily calculated with the 'fv' function.
"""
return fv(rate, (per - 1), pmt, pv, when) Example 7
def ppmt(rate, per, nper, pv, fv=0.0, when='end'):
"""
Compute the payment against loan principal.
Parameters
----------
rate : array_like
Rate of interest (per period)
per : array_like, int
Amount paid against the loan changes. The `per` is the period of
interest.
nper : array_like
Number of compounding periods
pv : array_like
Present value
fv : array_like, optional
Future value
when : {{'begin', 1}, {'end', 0}}, {string, int}
When payments are due ('begin' (1) or 'end' (0))
See Also
--------
pmt, pv, ipmt
"""
total = pmt(rate, nper, pv, fv, when)
return total - ipmt(rate, per, nper, pv, fv, when) Example 8
def test_pmt(self):
res = np.pmt(0.08/12, 5*12, 15000)
tgt = -304.145914
assert_allclose(res, tgt)
# Test the edge case where rate == 0.0
res = np.pmt(0.0, 5*12, 15000)
tgt = -250.0
assert_allclose(res, tgt)
# Test the case where we use broadcast and
# the arguments passed in are arrays.
res = np.pmt([[0.0, 0.8],[0.3, 0.8]],[12, 3],[2000, 20000])
tgt = np.array([[-166.66667, -19311.258],[-626.90814, -19311.258]])
assert_allclose(res, tgt) Example 9
def _rbl(rate, per, pmt, pv, when):
"""
This function is here to simply have a different name for the 'fv'
function to not interfere with the 'fv' keyword argument within the 'ipmt'
function. It is the 'remaining balance on loan' which might be useful as
it's own function, but is easily calculated with the 'fv' function.
"""
return fv(rate, (per - 1), pmt, pv, when) Example 10
def ppmt(rate, per, nper, pv, fv=0.0, when='end'):
"""
Compute the payment against loan principal.
Parameters
----------
rate : array_like
Rate of interest (per period)
per : array_like, int
Amount paid against the loan changes. The `per` is the period of
interest.
nper : array_like
Number of compounding periods
pv : array_like
Present value
fv : array_like, optional
Future value
when : {{'begin', 1}, {'end', 0}}, {string, int}
When payments are due ('begin' (1) or 'end' (0))
See Also
--------
pmt, pv, ipmt
"""
total = pmt(rate, nper, pv, fv, when)
return total - ipmt(rate, per, nper, pv, fv, when) Example 11
def test_pmt(self):
res = np.pmt(0.08/12, 5*12, 15000)
tgt = -304.145914
assert_allclose(res, tgt)
# Test the edge case where rate == 0.0
res = np.pmt(0.0, 5*12, 15000)
tgt = -250.0
assert_allclose(res, tgt)
# Test the case where we use broadcast and
# the arguments passed in are arrays.
res = np.pmt([[0.0, 0.8],[0.3, 0.8]],[12, 3],[2000, 20000])
tgt = np.array([[-166.66667, -19311.258],[-626.90814, -19311.258]])
assert_allclose(res, tgt) Example 12
def _rbl(rate, per, pmt, pv, when):
"""
This function is here to simply have a different name for the 'fv'
function to not interfere with the 'fv' keyword argument within the 'ipmt'
function. It is the 'remaining balance on loan' which might be useful as
it's own function, but is easily calculated with the 'fv' function.
"""
return fv(rate, (per - 1), pmt, pv, when) Example 13
def ppmt(rate, per, nper, pv, fv=0.0, when='end'):
"""
Compute the payment against loan principal.
Parameters
----------
rate : array_like
Rate of interest (per period)
per : array_like, int
Amount paid against the loan changes. The `per` is the period of
interest.
nper : array_like
Number of compounding periods
pv : array_like
Present value
fv : array_like, optional
Future value
when : {{'begin', 1}, {'end', 0}}, {string, int}
When payments are due ('begin' (1) or 'end' (0))
See Also
--------
pmt, pv, ipmt
"""
total = pmt(rate, nper, pv, fv, when)
return total - ipmt(rate, per, nper, pv, fv, when) Example 14
def test_pmt(self):
res = np.pmt(0.08/12, 5*12, 15000)
tgt = -304.145914
assert_allclose(res, tgt)
# Test the edge case where rate == 0.0
res = np.pmt(0.0, 5*12, 15000)
tgt = -250.0
assert_allclose(res, tgt)
# Test the case where we use broadcast and
# the arguments passed in are arrays.
res = np.pmt([[0.0, 0.8],[0.3, 0.8]],[12, 3],[2000, 20000])
tgt = np.array([[-166.66667, -19311.258],[-626.90814, -19311.258]])
assert_allclose(res, tgt) Example 15
def _rbl(rate, per, pmt, pv, when):
"""
This function is here to simply have a different name for the 'fv'
function to not interfere with the 'fv' keyword argument within the 'ipmt'
function. It is the 'remaining balance on loan' which might be useful as
it's own function, but is easily calculated with the 'fv' function.
"""
return fv(rate, (per - 1), pmt, pv, when) Example 16
def ppmt(rate, per, nper, pv, fv=0.0, when='end'):
"""
Compute the payment against loan principal.
Parameters
----------
rate : array_like
Rate of interest (per period)
per : array_like, int
Amount paid against the loan changes. The `per` is the period of
interest.
nper : array_like
Number of compounding periods
pv : array_like
Present value
fv : array_like, optional
Future value
when : {{'begin', 1}, {'end', 0}}, {string, int}
When payments are due ('begin' (1) or 'end' (0))
See Also
--------
pmt, pv, ipmt
"""
total = pmt(rate, nper, pv, fv, when)
return total - ipmt(rate, per, nper, pv, fv, when) Example 17
def test_pmt(self):
res = np.pmt(0.08/12, 5*12, 15000)
tgt = -304.145914
assert_allclose(res, tgt)
# Test the edge case where rate == 0.0
res = np.pmt(0.0, 5*12, 15000)
tgt = -250.0
assert_allclose(res, tgt)
# Test the case where we use broadcast and
# the arguments passed in are arrays.
res = np.pmt([[0.0, 0.8],[0.3, 0.8]],[12, 3],[2000, 20000])
tgt = np.array([[-166.66667, -19311.258],[-626.90814, -19311.258]])
assert_allclose(res, tgt) Example 18
def _rbl(rate, per, pmt, pv, when):
"""
This function is here to simply have a different name for the 'fv'
function to not interfere with the 'fv' keyword argument within the 'ipmt'
function. It is the 'remaining balance on loan' which might be useful as
it's own function, but is easily calculated with the 'fv' function.
"""
return fv(rate, (per - 1), pmt, pv, when) Example 19
def ppmt(rate, per, nper, pv, fv=0.0, when='end'):
"""
Compute the payment against loan principal.
Parameters
----------
rate : array_like
Rate of interest (per period)
per : array_like, int
Amount paid against the loan changes. The `per` is the period of
interest.
nper : array_like
Number of compounding periods
pv : array_like
Present value
fv : array_like, optional
Future value
when : {{'begin', 1}, {'end', 0}}, {string, int}
When payments are due ('begin' (1) or 'end' (0))
See Also
--------
pmt, pv, ipmt
"""
total = pmt(rate, nper, pv, fv, when)
return total - ipmt(rate, per, nper, pv, fv, when) Example 20
def rate(nper, pmt, pv, fv, when='end', guess=0.10, tol=1e-6, maxiter=100):
"""
Compute the rate of interest per period.
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
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
"""
when = _convert_when(when)
(nper, pmt, pv, fv, when) = map(np.asarray, [nper, pmt, pv, fv, when])
rn = guess
iter = 0
close = False
while (iter < maxiter) and not close:
rnp1 = rn - _g_div_gp(rn, nper, pmt, pv, fv, when)
diff = abs(rnp1-rn)
close = np.all(diff < tol)
iter += 1
rn = rnp1
if not close:
# Return nan's in array of the same shape as rn
return np.nan + rn
else:
return rn Example 21
def rate(nper, pmt, pv, fv, when='end', guess=0.10, tol=1e-6, maxiter=100):
"""
Compute the rate of interest per period.
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
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
"""
when = _convert_when(when)
(nper, pmt, pv, fv, when) = map(np.asarray, [nper, pmt, pv, fv, when])
rn = guess
iter = 0
close = False
while (iter < maxiter) and not close:
rnp1 = rn - _g_div_gp(rn, nper, pmt, pv, fv, when)
diff = abs(rnp1-rn)
close = np.all(diff < tol)
iter += 1
rn = rnp1
if not close:
# Return nan's in array of the same shape as rn
return np.nan + rn
else:
return rn Example 22
def rate(nper, pmt, pv, fv, when='end', guess=0.10, tol=1e-6, maxiter=100):
"""
Compute the rate of interest per period.
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
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
"""
when = _convert_when(when)
(nper, pmt, pv, fv, when) = map(np.asarray, [nper, pmt, pv, fv, when])
rn = guess
iter = 0
close = False
while (iter < maxiter) and not close:
rnp1 = rn - _g_div_gp(rn, nper, pmt, pv, fv, when)
diff = abs(rnp1-rn)
close = np.all(diff < tol)
iter += 1
rn = rnp1
if not close:
# Return nan's in array of the same shape as rn
return np.nan + rn
else:
return rn Example 23
def rate(nper, pmt, pv, fv, when='end', guess=0.10, tol=1e-6, maxiter=100):
"""
Compute the rate of interest per period.
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
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
"""
when = _convert_when(when)
(nper, pmt, pv, fv, when) = map(np.asarray, [nper, pmt, pv, fv, when])
rn = guess
iter = 0
close = False
while (iter < maxiter) and not close:
rnp1 = rn - _g_div_gp(rn, nper, pmt, pv, fv, when)
diff = abs(rnp1-rn)
close = np.all(diff < tol)
iter += 1
rn = rnp1
if not close:
# Return nan's in array of the same shape as rn
return np.nan + rn
else:
return rn Example 24
def rate(nper, pmt, pv, fv, when='end', guess=0.10, tol=1e-6, maxiter=100):
"""
Compute the rate of interest per period.
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
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
"""
when = _convert_when(when)
(nper, pmt, pv, fv, when) = map(np.asarray, [nper, pmt, pv, fv, when])
rn = guess
iter = 0
close = False
while (iter < maxiter) and not close:
rnp1 = rn - _g_div_gp(rn, nper, pmt, pv, fv, when)
diff = abs(rnp1-rn)
close = np.all(diff < tol)
iter += 1
rn = rnp1
if not close:
# Return nan's in array of the same shape as rn
return np.nan + rn
else:
return rn Example 25
def rate(nper, pmt, pv, fv, when='end', guess=0.10, tol=1e-6, maxiter=100):
"""
Compute the rate of interest per period.
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
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
"""
when = _convert_when(when)
(nper, pmt, pv, fv, when) = map(np.asarray, [nper, pmt, pv, fv, when])
rn = guess
iter = 0
close = False
while (iter < maxiter) and not close:
rnp1 = rn - _g_div_gp(rn, nper, pmt, pv, fv, when)
diff = abs(rnp1-rn)
close = np.all(diff < tol)
iter += 1
rn = rnp1
if not close:
# Return nan's in array of the same shape as rn
return np.nan + rn
else:
return rn 