text: from __future__ import division, absolute_import, print_function
  
  from decimal import Decimal
  
  import numpy as np
  from numpy.testing import (
      run_module_suite, 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])
  
      def test_broadcast(self):
          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)
  
      def test_broadcast_decimal(self):
          # 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)
  
  
  if __name__ == "__main__":
      run_module_suite()
  