class FlatForwardTestCase(unittest.TestCase): def setUp(self): self.calendar = TARGET() self.settlement_days = 2 self.adjusted_today = self.calendar.adjust(today()) Settings().evaluation_date = self.adjusted_today self.settlement_date = self.calendar.advance(today(), self.settlement_days, Days) def test_reference_evaluation_data_changed(self): """Testing term structure against evaluation date change... """ quote = SimpleQuote() term_structure = FlatForward( settlement_days=self.settlement_days, forward=quote, calendar=NullCalendar(), daycounter=Actual360() ) quote.value = 0.03 expected = [] for days in [10, 30, 60, 120, 360, 720]: expected.append(term_structure.discount(self.adjusted_today + days)) Settings().evaluation_date = self.adjusted_today + 30 calculated = [] for days in [10, 30, 60, 120, 360, 720]: calculated.append(term_structure.discount(self.adjusted_today + 30 + days)) for i, val in enumerate(expected): self.assertAlmostEquals(val, calculated[i])
def zbt_libor_yield(instruments, yields, pricing_date, basis='Actual/Actual (Bond)', compounding_freq='Continuous', maturity_dates=None): """ Bootstrap a zero-coupon curve from libor rates and swap yields Args: insruments: list of instruments, of the form Libor?M for Libor rates and Swap?Y for swap rates yields: market rates pricing_date: the date where market data is observed. Settlement is by default 2 days after pricing_date Optional: compounding_frequency: ... of zero-coupon rates. By default: 'Continuous' Returns: zero_rate: zero-coupon rate maturity_date: ... of corresponding rate """ calendar = TARGET() settings = Settings() # must be a business day eval_date = calendar.adjust(pydate_to_qldate(pricing_date)) settings.evaluation_date = eval_date rates = dict(zip(instruments, yields)) ts = make_term_structure(rates, pricing_date) cnt = DayCounter.from_name(basis) if maturity_dates is None: # schedule of maturity dates from settlement date to last date on # the term structure s = Schedule(effective_date=ts.reference_date, termination_date=ts.max_date, tenor=Period(1, Months), calendar=TARGET()) maturity_dates = [qldate_to_pydate(dt) for dt in s.dates()] cp_freq = compounding_from_name(compounding_freq) zc = [ts.zero_rate(date=pydate_to_qldate(dt), day_counter=cnt, compounding=cp_freq).rate for dt in maturity_dates] return (maturity_dates, zc)
class FlatForwardTestCase(unittest.TestCase): def setUp(self): self.calendar = TARGET() self.settlement_days = 2 self.adjusted_today = self.calendar.adjust(today()) Settings().evaluation_date = self.adjusted_today self.settlement_date = self.calendar.advance( today(), self.settlement_days, Days ) def test_reference_evaluation_data_changed(self): """Testing term structure against evaluation date change... """ quote = SimpleQuote() term_structure = FlatForward(settlement_days=self.settlement_days, forward=quote, calendar=NullCalendar(), daycounter=Actual360()) quote.value = 0.03 expected = [] for days in [10, 30, 60, 120, 360, 720]: expected.append( term_structure.discount(self.adjusted_today + days) ) Settings().evaluation_date = self.adjusted_today + 30 calculated = [] for days in [10, 30, 60, 120, 360, 720]: calculated.append( term_structure.discount(self.adjusted_today+ 30 + days) ) for i, val in enumerate(expected): self.assertAlmostEquals(val, calculated[i])
def test_pricing_bond(): '''Inspired by the C++ code from http://quantcorner.wordpress.com/.''' settings = Settings() # Date setup calendar = TARGET() # Settlement date settlement_date = calendar.adjust(Date(28, January, 2011)) # Evaluation date fixing_days = 1 settlement_days = 1 todays_date = calendar.advance( settlement_date, -fixing_days, Days ) settings.evaluation_date = todays_date # Bound attributes face_amount = 100.0 redemption = 100.0 issue_date = Date(27, January, 2011) maturity_date = Date(31, August, 2020) coupon_rate = 0.03625 bond_yield = 0.034921 discounting_term_structure = YieldTermStructure(relinkable=True) flat_term_structure = FlatForward( reference_date = settlement_date, forward = bond_yield, daycounter = Actual365Fixed(), #actual_actual.ActualActual(actual_actual.Bond), compounding = Compounded, frequency = Semiannual) # have a look at the FixedRateBondHelper to simplify this # construction discounting_term_structure.link_to(flat_term_structure) #Rate fixed_bond_schedule = Schedule( issue_date, maturity_date, Period(Semiannual), UnitedStates(market=GOVERNMENTBOND), Unadjusted, Unadjusted, Backward, False); bond = FixedRateBond( settlement_days, face_amount, fixed_bond_schedule, [coupon_rate], ActualActual(Bond), Unadjusted, redemption, issue_date ) bond.set_pricing_engine(discounting_term_structure) return bond
def test_pricing_bond(self): '''Inspired by the C++ code from http://quantcorner.wordpress.com/.''' settings = Settings() # Date setup calendar = TARGET() # Settlement date settlement_date = calendar.adjust(Date(28, January, 2011)) # Evaluation date fixing_days = 1 settlement_days = 1 todays_date = calendar.advance( settlement_date, -fixing_days, Days ) settings.evaluation_date = todays_date # Bound attributes face_amount = 100.0 redemption = 100.0 issue_date = Date(27, January, 2011) maturity_date = Date(31, August, 2020) coupon_rate = 0.03625 bond_yield = 0.034921 discounting_term_structure = YieldTermStructure(relinkable=True) flat_term_structure = FlatForward( reference_date = settlement_date, forward = bond_yield, daycounter = Actual365Fixed(), #actual_actual.ActualActual(actual_actual.Bond), compounding = Compounded, frequency = Semiannual) # have a look at the FixedRateBondHelper to simplify this # construction discounting_term_structure.link_to(flat_term_structure) #Rate fixed_bond_schedule = Schedule( issue_date, maturity_date, Period(Semiannual), UnitedStates(market=GOVERNMENTBOND), Unadjusted, Unadjusted, Backward, False); bond = FixedRateBond( settlement_days, face_amount, fixed_bond_schedule, [coupon_rate], ActualActual(Bond), Unadjusted, redemption, issue_date ) bond.set_pricing_engine(discounting_term_structure) # tests self.assertTrue(Date(27, January, 2011), bond.issue_date) self.assertTrue(Date(31, August, 2020), bond.maturity_date) self.assertTrue(settings.evaluation_date, bond.valuation_date) # the following assertion fails but must be verified self.assertAlmostEqual(101.1, bond.clean_price, 1) self.assertAlmostEqual(101.1, bond.net_present_value, 1) self.assertAlmostEqual(101.1, bond.dirty_price) self.assertAlmostEqual(0.009851, bond.accrued_amount()) print settings.evaluation_date print 'Principal: {}'.format(face_amount) print 'Issuing date: {} '.format(bond.issue_date) print 'Maturity: {}'.format(bond.maturity_date) print 'Coupon rate: {:.4%}'.format(coupon_rate) print 'Yield: {:.4%}'.format(bond_yield) print 'Net present value: {:.4f}'.format(bond.net_present_value) print 'Clean price: {:.4f}'.format(bond.clean_price) print 'Dirty price: {:.4f}'.format(bond.dirty_price) print 'Accrued coupon: {:.6f}'.format(bond.accrued_amount()) print 'Accrued coupon: {:.6f}'.format( bond.accrued_amount(Date(1, March, 2011)) )
def test_pricing_bond(self): '''Inspired by the C++ code from http://quantcorner.wordpress.com/.''' settings = Settings() # Date setup calendar = TARGET() # Settlement date settlement_date = calendar.adjust(Date(28, January, 2011)) # Evaluation date fixing_days = 1 settlement_days = 1 todays_date = calendar.advance(settlement_date, -fixing_days, Days) settings.evaluation_date = todays_date # Bound attributes face_amount = 100.0 redemption = 100.0 issue_date = Date(27, January, 2011) maturity_date = Date(31, August, 2020) coupon_rate = 0.03625 bond_yield = 0.034921 discounting_term_structure = YieldTermStructure(relinkable=True) flat_term_structure = FlatForward( reference_date=settlement_date, forward=bond_yield, daycounter=Actual365Fixed( ), #actual_actual.ActualActual(actual_actual.Bond), compounding=Compounded, frequency=Semiannual) # have a look at the FixedRateBondHelper to simplify this # construction discounting_term_structure.link_to(flat_term_structure) #Rate fixed_bond_schedule = Schedule(issue_date, maturity_date, Period(Semiannual), UnitedStates(market=GOVERNMENTBOND), Unadjusted, Unadjusted, Backward, False) bond = FixedRateBond(settlement_days, face_amount, fixed_bond_schedule, [coupon_rate], ActualActual(Bond), Unadjusted, redemption, issue_date) bond.set_pricing_engine(discounting_term_structure) # tests self.assertTrue(Date(27, January, 2011), bond.issue_date) self.assertTrue(Date(31, August, 2020), bond.maturity_date) self.assertTrue(settings.evaluation_date, bond.valuation_date) # the following assertion fails but must be verified self.assertAlmostEqual(101.1, bond.clean_price, 1) self.assertAlmostEqual(101.1, bond.net_present_value, 1) self.assertAlmostEqual(101.1, bond.dirty_price) self.assertAlmostEqual(0.009851, bond.accrued_amount()) print(settings.evaluation_date) print('Principal: {}'.format(face_amount)) print('Issuing date: {} '.format(bond.issue_date)) print('Maturity: {}'.format(bond.maturity_date)) print('Coupon rate: {:.4%}'.format(coupon_rate)) print('Yield: {:.4%}'.format(bond_yield)) print('Net present value: {:.4f}'.format(bond.net_present_value)) print('Clean price: {:.4f}'.format(bond.clean_price)) print('Dirty price: {:.4f}'.format(bond.dirty_price)) print('Accrued coupon: {:.6f}'.format(bond.accrued_amount())) print('Accrued coupon: {:.6f}'.format( bond.accrued_amount(Date(1, March, 2011))))
def test_excel_example_with_floating_rate_bond(self): todays_date = Date(25, August, 2011) settings = Settings() settings.evaluation_date = todays_date calendar = TARGET() effective_date = Date(10, Jul, 2006) termination_date = calendar.advance(effective_date, 10, Years, convention=Unadjusted) settlement_date = calendar.adjust(Date(28, January, 2011)) settlement_days = 3 #1 face_amount = 13749769.27 #2 coupon_rate = 0.05 redemption = 100.0 float_bond_schedule = Schedule(effective_date, termination_date, Period(Annual), calendar, ModifiedFollowing, ModifiedFollowing, Backward) #3 flat_discounting_term_structure = YieldTermStructure(relinkable=True) forecastTermStructure = YieldTermStructure(relinkable=True) dc = Actual360() ibor_index = Euribor6M(forecastTermStructure) #5 fixing_days = 2 #6 gearings = [1, 0.0] #7 spreads = [1, 0.05] #8 caps = [] #9 floors = [] #10 pmt_conv = ModifiedFollowing #11 issue_date = effective_date float_bond = FloatingRateBond(settlement_days, face_amount, float_bond_schedule, ibor_index, dc, fixing_days, gearings, spreads, caps, floors, pmt_conv, redemption, issue_date) flat_term_structure = FlatForward(settlement_days=1, forward=0.055, calendar=NullCalendar(), daycounter=Actual365Fixed(), compounding=Continuous, frequency=Annual) flat_discounting_term_structure.link_to(flat_term_structure) forecastTermStructure.link_to(flat_term_structure) engine = DiscountingBondEngine(flat_discounting_term_structure) float_bond.set_pricing_engine(engine) cons_option_vol = ConstantOptionletVolatility(settlement_days, UnitedStates(SETTLEMENT), pmt_conv, 0.95, Actual365Fixed()) coupon_pricer = BlackIborCouponPricer(cons_option_vol) set_coupon_pricer(float_bond, coupon_pricer) self.assertEquals(Date(10, Jul, 2016), termination_date) self.assertEquals(calendar.advance(todays_date, 3, Days), float_bond.settlement_date()) self.assertEquals(Date(11, Jul, 2016), float_bond.maturity_date) self.assertAlmostEqual( 0.6944, float_bond.accrued_amount(float_bond.settlement_date()), 4) self.assertAlmostEqual(98.2485, float_bond.dirty_price, 4) self.assertAlmostEqual(13500805.2469, float_bond.npv, 4)
def test_excel_example_with_floating_rate_bond(self): todays_date = Date(25, August, 2011) settings = Settings() settings.evaluation_date = todays_date calendar = TARGET() effective_date = Date(10, Jul, 2006) termination_date = calendar.advance( effective_date, 10, Years, convention=Unadjusted ) settlement_date = calendar.adjust(Date(28, January, 2011)) settlement_days = 3 #1 face_amount = 13749769.27 #2 coupon_rate = 0.05 redemption = 100.0 float_bond_schedule = Schedule( effective_date, termination_date, Period(Annual), calendar, ModifiedFollowing, ModifiedFollowing, Backward )#3 flat_discounting_term_structure = YieldTermStructure(relinkable=True) forecastTermStructure = YieldTermStructure(relinkable=True) dc = Actual360() ibor_index = Euribor6M(forecastTermStructure) #5 fixing_days = 2 #6 gearings = [1,0.0] #7 spreads = [1,0.05] #8 caps = [] #9 floors = [] #10 pmt_conv = ModifiedFollowing #11 issue_date = effective_date float_bond = FloatingRateBond(settlement_days, face_amount, float_bond_schedule, ibor_index, dc, fixing_days, gearings, spreads, caps, floors, pmt_conv, redemption, issue_date) flat_term_structure = FlatForward( settlement_days = 1, forward = 0.055, calendar = NullCalendar(), daycounter = Actual365Fixed(), compounding = Continuous, frequency = Annual) flat_discounting_term_structure.link_to(flat_term_structure) forecastTermStructure.link_to(flat_term_structure) engine = DiscountingBondEngine(flat_discounting_term_structure) float_bond.set_pricing_engine(engine) cons_option_vol = ConstantOptionletVolatility(settlement_days, UnitedStates(SETTLEMENT), pmt_conv, 0.95, Actual365Fixed()) coupon_pricer = BlackIborCouponPricer(cons_option_vol) set_coupon_pricer(float_bond,coupon_pricer) self.assertEquals(Date(10, Jul, 2016), termination_date) self.assertEquals( calendar.advance(todays_date, 3, Days), float_bond.settlement_date() ) self.assertEquals(Date(11, Jul, 2016), float_bond.maturity_date) self.assertAlmostEqual( 0.6944, float_bond.accrued_amount(float_bond.settlement_date()), 4 ) self.assertAlmostEqual(98.2485, float_bond.dirty_price, 4) self.assertAlmostEqual(13500805.2469, float_bond.npv,4)
def test_bucketanalysis_bond(self): settings = Settings() calendar = TARGET() settlement_date = calendar.adjust(Date(28, January, 2011)) simple_quotes = [] fixing_days = 1 settlement_days = 1 todays_date = calendar.advance(settlement_date, -fixing_days, Days) settings.evaluation_date = todays_date face_amount = 100.0 redemption = 100.0 issue_date = Date(27, January, 2011) maturity_date = Date(1, January, 2021) coupon_rate = 0.055 bond_yield = 0.034921 flat_discounting_term_structure = YieldTermStructure(relinkable=True) flat_term_structure = FlatForward(reference_date=settlement_date, forward=bond_yield, daycounter=Actual365Fixed(), compounding=Compounded, frequency=Semiannual) flat_discounting_term_structure.link_to(flat_term_structure) fixed_bond_schedule = Schedule(issue_date, maturity_date, Period(Semiannual), UnitedStates(market=GOVERNMENTBOND), Unadjusted, Unadjusted, Backward, False) bond = FixedRateBond(settlement_days, face_amount, fixed_bond_schedule, [coupon_rate], ActualActual(Bond), Unadjusted, redemption, issue_date) zspd = bf.zSpread(bond, 100.0, flat_term_structure, Actual365Fixed(), Compounded, Semiannual, settlement_date, 1e-6, 100, 0.5) depositData = [[1, Months, 4.581], [2, Months, 4.573], [3, Months, 4.557], [6, Months, 4.496], [9, Months, 4.490]] swapData = [[1, Years, 4.54], [5, Years, 4.99], [10, Years, 5.47], [20, Years, 5.89], [30, Years, 5.96]] rate_helpers = [] end_of_month = True for m, period, rate in depositData: tenor = Period(m, Months) sq_rate = SimpleQuote(rate / 100) helper = DepositRateHelper(sq_rate, tenor, settlement_days, calendar, ModifiedFollowing, end_of_month, Actual360()) simple_quotes.append(sq_rate) rate_helpers.append(helper) liborIndex = Libor('USD Libor', Period(6, Months), settlement_days, USDCurrency(), calendar, Actual360(), YieldTermStructure(relinkable=False)) spread = SimpleQuote(0) fwdStart = Period(0, Days) for m, period, rate in swapData: sq_rate = SimpleQuote(rate / 100) helper = SwapRateHelper.from_tenor(sq_rate, Period(m, Years), calendar, Annual, Unadjusted, Thirty360(), liborIndex, spread, fwdStart) simple_quotes.append(sq_rate) rate_helpers.append(helper) ts_day_counter = ActualActual(ISDA) tolerance = 1.0e-15 ts = PiecewiseYieldCurve('discount', 'loglinear', settlement_date, rate_helpers, ts_day_counter, tolerance) discounting_term_structure = YieldTermStructure(relinkable=True) discounting_term_structure.link_to(ts) pricing_engine = DiscountingBondEngine(discounting_term_structure) bond.set_pricing_engine(pricing_engine) self.assertAlmostEquals(bond.npv, 100.83702940160767) ba = bucket_analysis([simple_quotes], [bond], [1], 0.0001, 1) self.assertTrue(2, ba) self.assertTrue(type(tuple), ba) self.assertEquals(len(simple_quotes), len(ba[0][0])) self.assertEquals(0, ba[0][0][8])
def test_bucketanalysis_bond(self): settings = Settings() calendar = TARGET() settlement_date = calendar.adjust(Date(28, January, 2011)) simple_quotes = [] fixing_days = 1 settlement_days = 1 todays_date = calendar.advance( settlement_date, -fixing_days, Days ) settings.evaluation_date = todays_date face_amount = 100.0 redemption = 100.0 issue_date = Date(27, January, 2011) maturity_date = Date(1, January, 2021) coupon_rate = 0.055 bond_yield = 0.034921 flat_discounting_term_structure = YieldTermStructure(relinkable=True) flat_term_structure = FlatForward( reference_date = settlement_date, forward = bond_yield, daycounter = Actual365Fixed(), compounding = Compounded, frequency = Semiannual) flat_discounting_term_structure.link_to(flat_term_structure) fixed_bond_schedule = Schedule( issue_date, maturity_date, Period(Semiannual), UnitedStates(market=GOVERNMENTBOND), Unadjusted, Unadjusted, Backward, False); bond = FixedRateBond( settlement_days, face_amount, fixed_bond_schedule, [coupon_rate], ActualActual(Bond), Unadjusted, redemption, issue_date ) bfs=bf.BondFunctions() d=bfs.startDate(bond) bfs.display() zspd=bfs.zSpread(bond,100.0,flat_term_structure,Actual365Fixed(), Compounded,Semiannual,settlement_date,1e-6,100,0.5) depositData = [[ 1, Months, 4.581 ], [ 2, Months, 4.573 ], [ 3, Months, 4.557 ], [ 6, Months, 4.496 ], [ 9, Months, 4.490 ]] swapData = [[ 1, Years, 4.54 ], [ 5, Years, 4.99 ], [ 10, Years, 5.47 ], [ 20, Years, 5.89 ], [ 30, Years, 5.96 ]] rate_helpers = [] end_of_month = True for m, period, rate in depositData: tenor = Period(m, Months) sq_rate = SimpleQuote(rate/100) helper = DepositRateHelper(sq_rate, tenor, settlement_days, calendar, ModifiedFollowing, end_of_month, Actual360()) simple_quotes.append(sq_rate) rate_helpers.append(helper) liborIndex = Libor('USD Libor', Period(6, Months), settlement_days, USDCurrency(), calendar, Actual360(), YieldTermStructure(relinkable=False)) spread = SimpleQuote(0) fwdStart = Period(0, Days) for m, period, rate in swapData: sq_rate = SimpleQuote(rate/100) helper = SwapRateHelper.from_tenor( sq_rate, Period(m, Years), calendar, Annual, Unadjusted, Thirty360(), liborIndex, spread, fwdStart ) simple_quotes.append(sq_rate) rate_helpers.append(helper) ts_day_counter = ActualActual(ISDA) tolerance = 1.0e-15 ts = term_structure_factory( 'discount', 'loglinear', settlement_date, rate_helpers, ts_day_counter, tolerance) discounting_term_structure = YieldTermStructure(relinkable=True) discounting_term_structure.link_to(ts) pricing_engine = DiscountingBondEngine(discounting_term_structure) bond.set_pricing_engine(pricing_engine) self.assertAlmostEquals(bond.npv, 100.83702940160767) ba = bucketAnalysis([simple_quotes],[bond],[1],0.0001, 1) self.assertTrue(2,ba) self.assertTrue(type(tuple),ba) self.assertEquals(len(simple_quotes),len(ba[0][0])) self.assertEquals(0, ba[0][0][8])
def test_display(self): settings = Settings() # Date setup calendar = TARGET() # Settlement date settlement_date = calendar.adjust(Date(28, January, 2011)) # Evaluation date fixing_days = 1 settlement_days = 1 todays_date = calendar.advance( settlement_date, -fixing_days, Days ) settings.evaluation_date = todays_date # Bound attributes face_amount = 100.0 redemption = 100.0 issue_date = Date(27, January, 2011) maturity_date = Date(31, August, 2020) coupon_rate = 0.03625 bond_yield = 0.034921 flat_discounting_term_structure = YieldTermStructure(relinkable=True) flat_term_structure = FlatForward( reference_date = settlement_date, forward = bond_yield, daycounter = Actual365Fixed(), #actual_actual.ActualActual(actual_actual.Bond), compounding = Compounded, frequency = Semiannual) # have a look at the FixedRateBondHelper to simplify this # construction flat_discounting_term_structure.link_to(flat_term_structure) #Rate fixed_bond_schedule = Schedule( issue_date, maturity_date, Period(Semiannual), UnitedStates(market=GOVERNMENTBOND), Unadjusted, Unadjusted, Backward, False); bond = FixedRateBond( settlement_days, face_amount, fixed_bond_schedule, [coupon_rate], ActualActual(Bond), Unadjusted, redemption, issue_date ) d=bf.startDate(bond) zspd=bf.zSpread(bond, 100.0, flat_term_structure, Actual365Fixed(), Compounded, Semiannual, settlement_date, 1e-6, 100, 0.5) #Also need a test case for a PiecewiseTermStructure... depositData = [[ 1, Months, 4.581 ], [ 2, Months, 4.573 ], [ 3, Months, 4.557 ], [ 6, Months, 4.496 ], [ 9, Months, 4.490 ]] swapData = [[ 1, Years, 4.54 ], [ 5, Years, 4.99 ], [ 10, Years, 5.47 ], [ 20, Years, 5.89 ], [ 30, Years, 5.96 ]] rate_helpers = [] end_of_month = True for m, period, rate in depositData: tenor = Period(m, Months) helper = DepositRateHelper(SimpleQuote(rate/100), tenor, settlement_days, calendar, ModifiedFollowing, end_of_month, Actual360()) rate_helpers.append(helper) liborIndex = Libor('USD Libor', Period(6, Months), settlement_days, USDCurrency(), calendar, Actual360(), YieldTermStructure(relinkable=False)) spread = SimpleQuote(0) fwdStart = Period(0, Days) for m, period, rate in swapData: helper = SwapRateHelper.from_tenor( SimpleQuote(rate/100), Period(m, Years), calendar, Annual, Unadjusted, Thirty360(), liborIndex, spread, fwdStart ) rate_helpers.append(helper) ts_day_counter = ActualActual(ISDA) tolerance = 1.0e-15 ts = PiecewiseYieldCurve( 'discount', 'loglinear', settlement_date, rate_helpers, ts_day_counter, tolerance) pyc_zspd=bf.zSpread(bond, 102.0, ts, ActualActual(ISDA), Compounded, Semiannual, Date(1, April, 2015), 1e-6, 100, 0.5) pyc_zspd_disco=bf.zSpread(bond, 95.0, ts, ActualActual(ISDA), Compounded, Semiannual, settlement_date, 1e-6, 100, 0.5) yld = bf.yld(bond, 102.0, ActualActual(ISDA), Compounded, Semiannual, settlement_date, 1e-6, 100, 0.5) dur = bf.duration(bond, yld, ActualActual(ISDA), Compounded, Semiannual, 2, settlement_date) yld_disco = bf.yld(bond, 95.0, ActualActual(ISDA), Compounded, Semiannual, settlement_date, 1e-6, 100, 0.5) dur_disco = bf.duration(bond, yld_disco, ActualActual(ISDA), Compounded, Semiannual, 2, settlement_date) self.assertEqual(round(zspd, 6), 0.001281) self.assertEqual(round(pyc_zspd, 4), -0.0264) self.assertEqual(round(pyc_zspd_disco, 4), -0.0114) self.assertEqual(round(yld, 4), 0.0338) self.assertEqual(round(yld_disco, 4), 0.0426) self.assertEqual(round(dur, 4), 8.0655) self.assertEqual(round(dur_disco, 4), 7.9702)