```from __future__ import division, absolute_import, print_function

from decimal import Decimal

import numpy as np
from numpy.testing import (
assert_, assert_almost_equal, assert_allclose, assert_equal, assert_raises
)

class TestFinancial(object):
def test_rate(self):
assert_almost_equal(
np.rate(10, 0, -3500, 10000),
0.1107, 4)

def test_rate_decimal(self):
rate = np.rate(Decimal('10'), Decimal('0'), Decimal('-3500'), Decimal('10000'))
assert_equal(Decimal('0.1106908537142689284704528100'), rate)

def test_irr(self):
v = [-150000, 15000, 25000, 35000, 45000, 60000]
assert_almost_equal(np.irr(v), 0.0524, 2)
v = [-100, 0, 0, 74]
assert_almost_equal(np.irr(v), -0.0955, 2)
v = [-100, 39, 59, 55, 20]
assert_almost_equal(np.irr(v), 0.28095, 2)
v = [-100, 100, 0, -7]
assert_almost_equal(np.irr(v), -0.0833, 2)
v = [-100, 100, 0, 7]
assert_almost_equal(np.irr(v), 0.06206, 2)
v = [-5, 10.5, 1, -8, 1]
assert_almost_equal(np.irr(v), 0.0886, 2)

# Test that if there is no solution then np.irr returns nan
# Fixes gh-6744
v = [-1, -2, -3]
assert_equal(np.irr(v), np.nan)

def test_pv(self):
assert_almost_equal(np.pv(0.07, 20, 12000, 0), -127128.17, 2)

def test_pv_decimal(self):
assert_equal(np.pv(Decimal('0.07'), Decimal('20'), Decimal('12000'), Decimal('0')),
Decimal('-127128.1709461939327295222005'))

def test_fv(self):
assert_equal(np.fv(0.075, 20, -2000, 0, 0), 86609.362673042924)

def test_fv_decimal(self):
assert_equal(np.fv(Decimal('0.075'), Decimal('20'), Decimal('-2000'), 0, 0),
Decimal('86609.36267304300040536731624'))

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)

def test_pmt_decimal(self):
res = np.pmt(Decimal('0.08') / Decimal('12'), 5 * 12, 15000)
tgt = Decimal('-304.1459143262052370338701494')
assert_equal(res, tgt)
# Test the edge case where rate == 0.0
res = np.pmt(Decimal('0'), Decimal('60'), Decimal('15000'))
tgt = -250
assert_equal(res, tgt)
# Test the case where we use broadcast and
# the arguments passed in are arrays.
res = np.pmt([[Decimal('0'), Decimal('0.8')], [Decimal('0.3'), Decimal('0.8')]],
[Decimal('12'), Decimal('3')], [Decimal('2000'), Decimal('20000')])
tgt = np.array([[Decimal('-166.6666666666666666666666667'), Decimal('-19311.25827814569536423841060')],
[Decimal('-626.9081401700757748402586600'), Decimal('-19311.25827814569536423841060')]])

# Cannot use the `assert_allclose` because it uses isfinite under the covers
# which does not support the Decimal type
# See issue: https://github.com/numpy/numpy/issues/9954
assert_equal(res[0][0], tgt[0][0])
assert_equal(res[0][1], tgt[0][1])
assert_equal(res[1][0], tgt[1][0])
assert_equal(res[1][1], tgt[1][1])

def test_ppmt(self):
assert_equal(np.round(np.ppmt(0.1 / 12, 1, 60, 55000), 2), -710.25)

def test_ppmt_decimal(self):
assert_equal(np.ppmt(Decimal('0.1') / Decimal('12'), Decimal('1'), Decimal('60'), Decimal('55000')),
Decimal('-710.2541257864217612489830917'))

# Two tests showing how Decimal is actually getting at a more exact result
# .23 / 12 does not come out nicely as a float but does as a decimal
def test_ppmt_special_rate(self):
assert_equal(np.round(np.ppmt(0.23 / 12, 1, 60, 10000000000), 8), -90238044.232277036)

def test_ppmt_special_rate_decimal(self):
# When rounded out to 8 decimal places like the float based test, this should not equal the same value
# as the float, substituted for the decimal
def raise_error_because_not_equal():
assert_equal(
round(np.ppmt(Decimal('0.23') / Decimal('12'), 1, 60, Decimal('10000000000')), 8),
Decimal('-90238044.232277036'))

assert_raises(AssertionError, raise_error_because_not_equal)
assert_equal(np.ppmt(Decimal('0.23') / Decimal('12'), 1, 60, Decimal('10000000000')),
Decimal('-90238044.2322778884413969909'))

def test_ipmt(self):
assert_almost_equal(np.round(np.ipmt(0.1 / 12, 1, 24, 2000), 2), -16.67)

def test_ipmt_decimal(self):
result = np.ipmt(Decimal('0.1') / Decimal('12'), 1, 24, 2000)
assert_equal(result.flat[0], Decimal('-16.66666666666666666666666667'))

def test_nper(self):
assert_almost_equal(np.nper(0.075, -2000, 0, 100000.),
21.54, 2)

def test_nper2(self):
assert_almost_equal(np.nper(0.0, -2000, 0, 100000.),
50.0, 1)

def test_npv(self):
assert_almost_equal(
np.npv(0.05, [-15000, 1500, 2500, 3500, 4500, 6000]),
122.89, 2)

def test_npv_decimal(self):
assert_equal(
np.npv(Decimal('0.05'), [-15000, 1500, 2500, 3500, 4500, 6000]),
Decimal('122.894854950942692161628715'))

def test_mirr(self):
val = [-4500, -800, 800, 800, 600, 600, 800, 800, 700, 3000]
assert_almost_equal(np.mirr(val, 0.08, 0.055), 0.0666, 4)

val = [-120000, 39000, 30000, 21000, 37000, 46000]
assert_almost_equal(np.mirr(val, 0.10, 0.12), 0.126094, 6)

val = [100, 200, -50, 300, -200]
assert_almost_equal(np.mirr(val, 0.05, 0.06), 0.3428, 4)

val = [39000, 30000, 21000, 37000, 46000]
assert_(np.isnan(np.mirr(val, 0.10, 0.12)))

def test_mirr_decimal(self):
val = [Decimal('-4500'), Decimal('-800'), Decimal('800'), Decimal('800'),
Decimal('600'), Decimal('600'), Decimal('800'), Decimal('800'),
Decimal('700'), Decimal('3000')]
assert_equal(np.mirr(val, Decimal('0.08'), Decimal('0.055')),
Decimal('0.066597175031553548874239618'))

val = [Decimal('-120000'), Decimal('39000'), Decimal('30000'),
Decimal('21000'), Decimal('37000'), Decimal('46000')]
assert_equal(np.mirr(val, Decimal('0.10'), Decimal('0.12')), Decimal('0.126094130365905145828421880'))

val = [Decimal('100'), Decimal('200'), Decimal('-50'),
Decimal('300'), Decimal('-200')]
assert_equal(np.mirr(val, Decimal('0.05'), Decimal('0.06')), Decimal('0.342823387842176663647819868'))

val = [Decimal('39000'), Decimal('30000'), Decimal('21000'), Decimal('37000'), Decimal('46000')]
assert_(np.isnan(np.mirr(val, Decimal('0.10'), Decimal('0.12'))))

def test_when(self):
# begin
assert_equal(np.rate(10, 20, -3500, 10000, 1),
np.rate(10, 20, -3500, 10000, 'begin'))
# end
assert_equal(np.rate(10, 20, -3500, 10000),
np.rate(10, 20, -3500, 10000, 'end'))
assert_equal(np.rate(10, 20, -3500, 10000, 0),
np.rate(10, 20, -3500, 10000, 'end'))

# begin
assert_equal(np.pv(0.07, 20, 12000, 0, 1),
np.pv(0.07, 20, 12000, 0, 'begin'))
# end
assert_equal(np.pv(0.07, 20, 12000, 0),
np.pv(0.07, 20, 12000, 0, 'end'))
assert_equal(np.pv(0.07, 20, 12000, 0, 0),
np.pv(0.07, 20, 12000, 0, 'end'))

# begin
assert_equal(np.fv(0.075, 20, -2000, 0, 1),
np.fv(0.075, 20, -2000, 0, 'begin'))
# end
assert_equal(np.fv(0.075, 20, -2000, 0),
np.fv(0.075, 20, -2000, 0, 'end'))
assert_equal(np.fv(0.075, 20, -2000, 0, 0),
np.fv(0.075, 20, -2000, 0, 'end'))

# begin
assert_equal(np.pmt(0.08 / 12, 5 * 12, 15000., 0, 1),
np.pmt(0.08 / 12, 5 * 12, 15000., 0, 'begin'))
# end
assert_equal(np.pmt(0.08 / 12, 5 * 12, 15000., 0),
np.pmt(0.08 / 12, 5 * 12, 15000., 0, 'end'))
assert_equal(np.pmt(0.08 / 12, 5 * 12, 15000., 0, 0),
np.pmt(0.08 / 12, 5 * 12, 15000., 0, 'end'))

# begin
assert_equal(np.ppmt(0.1 / 12, 1, 60, 55000, 0, 1),
np.ppmt(0.1 / 12, 1, 60, 55000, 0, 'begin'))
# end
assert_equal(np.ppmt(0.1 / 12, 1, 60, 55000, 0),
np.ppmt(0.1 / 12, 1, 60, 55000, 0, 'end'))
assert_equal(np.ppmt(0.1 / 12, 1, 60, 55000, 0, 0),
np.ppmt(0.1 / 12, 1, 60, 55000, 0, 'end'))

# begin
assert_equal(np.ipmt(0.1 / 12, 1, 24, 2000, 0, 1),
np.ipmt(0.1 / 12, 1, 24, 2000, 0, 'begin'))
# end
assert_equal(np.ipmt(0.1 / 12, 1, 24, 2000, 0),
np.ipmt(0.1 / 12, 1, 24, 2000, 0, 'end'))
assert_equal(np.ipmt(0.1 / 12, 1, 24, 2000, 0, 0),
np.ipmt(0.1 / 12, 1, 24, 2000, 0, 'end'))

# begin
assert_equal(np.nper(0.075, -2000, 0, 100000., 1),
np.nper(0.075, -2000, 0, 100000., 'begin'))
# end
assert_equal(np.nper(0.075, -2000, 0, 100000.),
np.nper(0.075, -2000, 0, 100000., 'end'))
assert_equal(np.nper(0.075, -2000, 0, 100000., 0),
np.nper(0.075, -2000, 0, 100000., 'end'))

def test_decimal_with_when(self):
"""Test that decimals are still supported if the when argument is passed"""
# begin
assert_equal(np.rate(Decimal('10'), Decimal('20'), Decimal('-3500'), Decimal('10000'), Decimal('1')),
np.rate(Decimal('10'), Decimal('20'), Decimal('-3500'), Decimal('10000'), 'begin'))
# end
assert_equal(np.rate(Decimal('10'), Decimal('20'), Decimal('-3500'), Decimal('10000')),
np.rate(Decimal('10'), Decimal('20'), Decimal('-3500'), Decimal('10000'), 'end'))
assert_equal(np.rate(Decimal('10'), Decimal('20'), Decimal('-3500'), Decimal('10000'), Decimal('0')),
np.rate(Decimal('10'), Decimal('20'), Decimal('-3500'), Decimal('10000'), 'end'))

# begin
assert_equal(np.pv(Decimal('0.07'), Decimal('20'), Decimal('12000'), Decimal('0'), Decimal('1')),
np.pv(Decimal('0.07'), Decimal('20'), Decimal('12000'), Decimal('0'), 'begin'))
# end
assert_equal(np.pv(Decimal('0.07'), Decimal('20'), Decimal('12000'), Decimal('0')),
np.pv(Decimal('0.07'), Decimal('20'), Decimal('12000'), Decimal('0'), 'end'))
assert_equal(np.pv(Decimal('0.07'), Decimal('20'), Decimal('12000'), Decimal('0'), Decimal('0')),
np.pv(Decimal('0.07'), Decimal('20'), Decimal('12000'), Decimal('0'), 'end'))

# begin
assert_equal(np.fv(Decimal('0.075'), Decimal('20'), Decimal('-2000'), Decimal('0'), Decimal('1')),
np.fv(Decimal('0.075'), Decimal('20'), Decimal('-2000'), Decimal('0'), 'begin'))
# end
assert_equal(np.fv(Decimal('0.075'), Decimal('20'), Decimal('-2000'), Decimal('0')),
np.fv(Decimal('0.075'), Decimal('20'), Decimal('-2000'), Decimal('0'), 'end'))
assert_equal(np.fv(Decimal('0.075'), Decimal('20'), Decimal('-2000'), Decimal('0'), Decimal('0')),
np.fv(Decimal('0.075'), Decimal('20'), Decimal('-2000'), Decimal('0'), 'end'))

# begin
assert_equal(np.pmt(Decimal('0.08') / Decimal('12'), Decimal('5') * Decimal('12'), Decimal('15000.'),
Decimal('0'), Decimal('1')),
np.pmt(Decimal('0.08') / Decimal('12'), Decimal('5') * Decimal('12'), Decimal('15000.'),
Decimal('0'), 'begin'))
# end
assert_equal(np.pmt(Decimal('0.08') / Decimal('12'), Decimal('5') * Decimal('12'), Decimal('15000.'),
Decimal('0')),
np.pmt(Decimal('0.08') / Decimal('12'), Decimal('5') * Decimal('12'), Decimal('15000.'),
Decimal('0'), 'end'))
assert_equal(np.pmt(Decimal('0.08') / Decimal('12'), Decimal('5') * Decimal('12'), Decimal('15000.'),
Decimal('0'), Decimal('0')),
np.pmt(Decimal('0.08') / Decimal('12'), Decimal('5') * Decimal('12'), Decimal('15000.'),
Decimal('0'), 'end'))

# begin
assert_equal(np.ppmt(Decimal('0.1') / Decimal('12'), Decimal('1'), Decimal('60'), Decimal('55000'),
Decimal('0'), Decimal('1')),
np.ppmt(Decimal('0.1') / Decimal('12'), Decimal('1'), Decimal('60'), Decimal('55000'),
Decimal('0'), 'begin'))
# end
assert_equal(np.ppmt(Decimal('0.1') / Decimal('12'), Decimal('1'), Decimal('60'), Decimal('55000'),
Decimal('0')),
np.ppmt(Decimal('0.1') / Decimal('12'), Decimal('1'), Decimal('60'), Decimal('55000'),
Decimal('0'), 'end'))
assert_equal(np.ppmt(Decimal('0.1') / Decimal('12'), Decimal('1'), Decimal('60'), Decimal('55000'),
Decimal('0'), Decimal('0')),
np.ppmt(Decimal('0.1') / Decimal('12'), Decimal('1'), Decimal('60'), Decimal('55000'),
Decimal('0'), 'end'))

# begin
assert_equal(np.ipmt(Decimal('0.1') / Decimal('12'), Decimal('1'), Decimal('24'), Decimal('2000'),
Decimal('0'), Decimal('1')).flat[0],
np.ipmt(Decimal('0.1') / Decimal('12'), Decimal('1'), Decimal('24'), Decimal('2000'),
Decimal('0'), 'begin').flat[0])
# end
assert_equal(np.ipmt(Decimal('0.1') / Decimal('12'), Decimal('1'), Decimal('24'), Decimal('2000'),
Decimal('0')).flat[0],
np.ipmt(Decimal('0.1') / Decimal('12'), Decimal('1'), Decimal('24'), Decimal('2000'),
Decimal('0'), 'end').flat[0])
assert_equal(np.ipmt(Decimal('0.1') / Decimal('12'), Decimal('1'), Decimal('24'), Decimal('2000'),
Decimal('0'), Decimal('0')).flat[0],
np.ipmt(Decimal('0.1') / Decimal('12'), Decimal('1'), Decimal('24'), Decimal('2000'),
Decimal('0'), 'end').flat[0])

assert_almost_equal(np.nper(0.075, -2000, 0, 100000., [0, 1]),
[21.5449442, 20.76156441], 4)

assert_almost_equal(np.ipmt(0.1 / 12, list(range(5)), 24, 2000),
[-17.29165168, -16.66666667, -16.03647345,
-15.40102862, -14.76028842], 4)

assert_almost_equal(np.ppmt(0.1 / 12, list(range(5)), 24, 2000),
[-74.998201, -75.62318601, -76.25337923,
-76.88882405, -77.52956425], 4)

assert_almost_equal(np.ppmt(0.1 / 12, list(range(5)), 24, 2000, 0,
[0, 0, 1, 'end', 'begin']),
[-74.998201, -75.62318601, -75.62318601,
-76.88882405, -76.88882405], 4)

# Use almost equal because precision is tested in the explicit tests, this test is to ensure
# broadcast with Decimal is not broken.
assert_almost_equal(np.ipmt(Decimal('0.1') / Decimal('12'), list(range(5)), Decimal('24'), Decimal('2000')),
[Decimal('-17.29165168'), Decimal('-16.66666667'), Decimal('-16.03647345'),
Decimal('-15.40102862'), Decimal('-14.76028842')], 4)

assert_almost_equal(np.ppmt(Decimal('0.1') / Decimal('12'), list(range(5)), Decimal('24'), Decimal('2000')),
[Decimal('-74.998201'), Decimal('-75.62318601'), Decimal('-76.25337923'),
Decimal('-76.88882405'), Decimal('-77.52956425')], 4)

assert_almost_equal(np.ppmt(Decimal('0.1') / Decimal('12'), list(range(5)), Decimal('24'), Decimal('2000'),
Decimal('0'), [Decimal('0'), Decimal('0'), Decimal('1'), 'end', 'begin']),
[Decimal('-74.998201'), Decimal('-75.62318601'), Decimal('-75.62318601'),
Decimal('-76.88882405'), Decimal('-76.88882405')], 4)
```