def test_FinFXVanillaOptionBloombergExample(): # Example Bloomberg Pricing at # https://stackoverflow.com/questions/48778712/fx-vanilla-call-price-in-quantlib-doesnt-match-bloomberg valuationDate = FinDate(13, 2, 2018) expiryDate = FinDate(15, 2, 2019) # In BS the FX rate is the price in domestic of one unit of foreign # In case of EURUSD = 1.3 the domestic currency is USD and foreign is EUR # DOM = USD , FOR = EUR forName = "EUR" domName = "USD" forDepoRate = 0.05 # EUR domDepoRate = 0.02 # USD currencyPair = forName + domName # Always FORDOM spotFXRate = 1.30 strikeFXRate = 1.3650 volatility = 0.20 spotDays = 0 settlementDate = valuationDate.addWeekDays(spotDays) maturityDate = settlementDate.addMonths(12) notional = 1000000.0 notionalCurrency = "EUR" calendarType = FinCalendarTypes.TARGET depos = [] fras = [] swaps = [] depo = FinIborDeposit(settlementDate, maturityDate, domDepoRate, FinDayCountTypes.ACT_360, notional, calendarType) depos.append(depo) domDiscountCurve = FinIborSingleCurve(valuationDate, depos, fras, swaps) depos = [] fras = [] swaps = [] depo = FinIborDeposit(settlementDate, maturityDate, forDepoRate, FinDayCountTypes.ACT_360, notional, calendarType) depos.append(depo) forDiscountCurve = FinIborSingleCurve(valuationDate, depos, fras, swaps) model = FinFXModelBlackScholes(volatility) callOption = FinFXVanillaOption(expiryDate, strikeFXRate, currencyPair, FinOptionTypes.EUROPEAN_CALL, notional, notionalCurrency, 2) value = callOption.value(valuationDate, spotFXRate, domDiscountCurve, forDiscountCurve, model) delta = callOption.delta(valuationDate, spotFXRate, domDiscountCurve, forDiscountCurve, model) testCases.header("value", "delta") testCases.print(value, delta)
def test_FinFXForward(): # https://stackoverflow.com/questions/48778712 # /fx-vanilla-call-price-in-quantlib-doesnt-match-bloomberg valueDate = FinDate(13, 2, 2018) expiryDate = valueDate.addMonths(12) # Forward is on EURUSD which is expressed as number of USD per EUR # ccy1 = EUR and ccy2 = USD forName = "EUR" domName = "USD" currencyPair = forName + domName # Always ccy1ccy2 spotFXRate = 1.300 # USD per EUR strikeFXRate = 1.365 # USD per EUR ccy1InterestRate = 0.02 # USD Rates ccy2InterestRate = 0.05 # EUR rates ########################################################################### spotDays = 0 settlementDate = valueDate.addWeekDays(spotDays) maturityDate = settlementDate.addMonths(12) notional = 100.0 calendarType = FinCalendarTypes.TARGET depos = [] fras = [] swaps = [] depositRate = ccy1InterestRate depo = FinIborDeposit(settlementDate, maturityDate, depositRate, FinDayCountTypes.ACT_360, notional, calendarType) depos.append(depo) forDiscountCurve = FinIborCurve(settlementDate, depos, fras, swaps) depos = [] fras = [] swaps = [] depositRate = ccy2InterestRate depo = FinIborDeposit(settlementDate, maturityDate, depositRate, FinDayCountTypes.ACT_360, notional, calendarType) depos.append(depo) domDiscountCurve = FinIborCurve(settlementDate, depos, fras, swaps) notional = 100.0 notionalCurrency = forName fxForward = FinFXForward(expiryDate, strikeFXRate, currencyPair, notional, notionalCurrency) testCases.header("SPOT FX", "FX FWD", "VALUE_BS") fwdValue = fxForward.value(valueDate, spotFXRate, domDiscountCurve, forDiscountCurve) fwdFXRate = fxForward.forward(valueDate, spotFXRate, domDiscountCurve, forDiscountCurve) testCases.print(spotFXRate, fwdFXRate, fwdValue)
def test_FinIborDepositsOnly(): # I have used the following useful blog post by Ioannis Rigopoulos for this # https://blog.deriscope.com/index.php/en/yield-curve-excel-quantlib-deposit valuationDate = FinDate(2018, 2, 23) spotDays = 0 settlementDate = valuationDate.addWeekDays(spotDays) depoDCCType = FinDayCountTypes.ACT_360 notional = 100.0 calendarType = FinCalendarTypes.TARGET depos = [] # 1 month depositRate = 0.04 maturityDate = settlementDate.addMonths(1) depo = FinIborDeposit(settlementDate, maturityDate, depositRate, depoDCCType, notional, calendarType) depos.append(depo) # 2 months depositRate = 0.04 maturityDate = settlementDate.addMonths(2) depo = FinIborDeposit(settlementDate, maturityDate, depositRate, depoDCCType, notional, calendarType) depos.append(depo) # 6 months depositRate = 0.04 maturityDate = settlementDate.addMonths(6) depo = FinIborDeposit(settlementDate, maturityDate, depositRate, depoDCCType, notional, calendarType) depos.append(depo) # 1 year depositRate = 0.04 maturityDate = settlementDate.addMonths(12) depo = FinIborDeposit(settlementDate, maturityDate, depositRate, depoDCCType, notional, calendarType) depos.append(depo) fras = [] swaps = [] liborCurve = FinIborSingleCurve(valuationDate, depos, fras, swaps) testCases.header("LABEL", "DATE", "VALUE") ''' Check calibration ''' for depo in depos: v = depo.value(settlementDate, liborCurve) testCases.print("DEPO", depo._maturityDate, v)
def test_FinIborDepositsAndSwaps(valuationDate): depoBasis = FinDayCountTypes.THIRTY_E_360_ISDA depos = [] spotDays = 0 settlementDate = valuationDate.addWeekDays(spotDays) depositRate = 0.05 depo1 = FinIborDeposit(settlementDate, "1M", depositRate, depoBasis) depo2 = FinIborDeposit(settlementDate, "3M", depositRate, depoBasis) depo3 = FinIborDeposit(settlementDate, "6M", depositRate, depoBasis) depos.append(depo1) depos.append(depo2) depos.append(depo3) fras = [] swaps = [] fixedBasis = FinDayCountTypes.ACT_365F fixedFreq = FinFrequencyTypes.SEMI_ANNUAL fixedLegType = FinSwapTypes.PAY swapRate = 0.05 swap1 = FinIborSwap(settlementDate, "1Y", fixedLegType, swapRate, fixedFreq, fixedBasis) swap2 = FinIborSwap(settlementDate, "3Y", fixedLegType, swapRate, fixedFreq, fixedBasis) swap3 = FinIborSwap(settlementDate, "5Y", fixedLegType, swapRate, fixedFreq, fixedBasis) swaps.append(swap1) swaps.append(swap2) swaps.append(swap3) liborCurve = FinIborSingleCurve(valuationDate, depos, fras, swaps) return liborCurve
def test_FinOISDepositsFRAsSwaps(): valuationDate = FinDate(2019, 9, 18) dccType = FinDayCountTypes.THIRTY_E_360_ISDA depos = [] spotDays = 0 settleDt = valuationDate.addWeekDays(spotDays) depoDCCType = FinDayCountTypes.ACT_360 notional = 100.0 calendarType = FinCalendarTypes.TARGET depos = [] # 1 month depositRate = 0.04 maturityDate = settleDt.addMonths(1) depo = FinIborDeposit(settleDt, maturityDate, depositRate, depoDCCType, notional, calendarType) depos.append(depo) fras = [] # 1 x 4 FRA fraRate = 0.04 frasettleDt = settleDt.addMonths(9) fraMaturityDate = settleDt.addMonths(13) fra = FinIborFRA(frasettleDt, fraMaturityDate, fraRate, dccType) fras.append(fra) # 4 x 7 FRA fraRate = 0.03 frasettleDt = settleDt.addMonths(13) fraMaturityDate = settleDt.addMonths(17) fra = FinIborFRA(frasettleDt, fraMaturityDate, fraRate, dccType) fras.append(fra) # 4 x 7 FRA fraRate = 0.07 frasettleDt = settleDt.addMonths(17) fraMaturityDate = settleDt.addMonths(21) fra = FinIborFRA(frasettleDt, fraMaturityDate, fraRate, dccType) fras.append(fra) swaps = [] fixedDCCType = FinDayCountTypes.ACT_365F fixedFreqType = FinFrequencyTypes.SEMI_ANNUAL swapRate = 0.05 # maturityDate = settleDt.addMonths(24) # swap = FinIborSwap(settleDt, maturityDate, swapRate, fixedFreqType, # fixedDCCType) # swaps.append(swap) fixedLegType = FinfixedLegTypes.PAY maturityDate = settleDt.addMonths(36) swap = FinOIS(settleDt, maturityDate, fixedLegType, swapRate, fixedFreqType, fixedDCCType) swaps.append(swap) maturityDate = settleDt.addMonths(48) swap = FinOIS(settleDt, maturityDate, fixedLegType, swapRate, fixedFreqType, fixedDCCType) swaps.append(swap) maturityDate = settleDt.addMonths(60) swap = FinOIS(settleDt, maturityDate, fixedLegType, swapRate, fixedFreqType, fixedDCCType) swaps.append(swap) maturityDate = settleDt.addMonths(72) swap = FinOIS(settleDt, maturityDate, fixedLegType, swapRate, fixedFreqType, fixedDCCType) swaps.append(swap) maturityDate = settleDt.addMonths(84) swap = FinOIS(settleDt, maturityDate, fixedLegType, swapRate, fixedFreqType, fixedDCCType) swaps.append(swap) maturityDate = settleDt.addMonths(96) swap = FinOIS(settleDt, maturityDate, fixedLegType, swapRate, fixedFreqType, fixedDCCType) swaps.append(swap) maturityDate = settleDt.addMonths(108) swap = FinOIS(settleDt, maturityDate, fixedLegType, swapRate, fixedFreqType, fixedDCCType) swaps.append(swap) maturityDate = settleDt.addMonths(120) swap = FinOIS(settleDt, maturityDate, fixedLegType, swapRate, fixedFreqType, fixedDCCType) swaps.append(swap) maturityDate = settleDt.addMonths(132) swap = FinOIS(settleDt, maturityDate, fixedLegType, swapRate, fixedFreqType, fixedDCCType) swaps.append(swap) maturityDate = settleDt.addMonths(144) swap = FinOIS(settleDt, maturityDate, fixedLegType, swapRate, fixedFreqType, fixedDCCType) swaps.append(swap) maturityDate = settleDt.addMonths(180) swap = FinOIS(settleDt, maturityDate, fixedLegType, swapRate, fixedFreqType, fixedDCCType) swaps.append(swap) maturityDate = settleDt.addMonths(240) swap = FinOIS(settleDt, maturityDate, fixedLegType, swapRate, fixedFreqType, fixedDCCType) swaps.append(swap) maturityDate = settleDt.addMonths(300) swap = FinOIS(settleDt, maturityDate, fixedLegType, swapRate, fixedFreqType, fixedDCCType) swaps.append(swap) maturityDate = settleDt.addMonths(360) swap = FinOIS(settleDt, maturityDate, fixedLegType, swapRate, fixedFreqType, fixedDCCType) swaps.append(swap) liborCurve = FinOISCurve(valuationDate, depos, fras, swaps) df = liborCurve.df(settleDt) testCases.header("SETTLEMENT DATE", "DF") testCases.print(str(settleDt), df) testCases.header("DATE", "DF") for deposit in depos: df = liborCurve.df(deposit._maturityDate) testCases.print(str(deposit._maturityDate), df) for swap in swaps: df = liborCurve.df(swap._maturityDate) testCases.print(str(swap._maturityDate), df)
def test_bloombergPricingExample(): ''' This is an example of a replication of a BBG example from https://github.com/vilen22/curve-building/blob/master/Bloomberg%20Curve%20Building%20Replication.xlsx ''' valuationDate = FinDate(6, 6, 2018) # We do the O/N rate which settles on trade date spotDays = 0 settleDt = valuationDate.addWeekDays(spotDays) accrual = FinDayCountTypes.THIRTY_E_360 depo = FinIborDeposit(settleDt, "1D", 1.712 / 100.0, accrual) depos = [depo] futs = [] fut = FinIborFuture(valuationDate, 1) futs.append(fut) fut = FinIborFuture(valuationDate, 2) futs.append(fut) fut = FinIborFuture(valuationDate, 3) futs.append(fut) fut = FinIborFuture(valuationDate, 4) futs.append(fut) fut = FinIborFuture(valuationDate, 5) futs.append(fut) fut = FinIborFuture(valuationDate, 6) futs.append(fut) fras = [None] * 6 fras[0] = futs[0].toFRA(97.6675, -0.00005) fras[1] = futs[1].toFRA(97.5200, -0.00060) fras[2] = futs[2].toFRA(97.3550, -0.00146) fras[3] = futs[3].toFRA(97.2450, -0.00263) fras[4] = futs[4].toFRA(97.1450, -0.00411) fras[5] = futs[5].toFRA(97.0750, -0.00589) accrual = FinDayCountTypes.THIRTY_E_360 freq = FinFrequencyTypes.SEMI_ANNUAL spotDays = 2 settleDt = valuationDate.addWeekDays(spotDays) payRec = FinSwapTypes.PAY lag = 1 # Not used swaps = [] swap = FinOIS(settleDt, "2Y", payRec, (2.77417 + 2.77844) / 200, freq, accrual) swaps.append(swap) swap = FinOIS(settleDt, "3Y", payRec, (2.86098 + 2.86582) / 200, freq, accrual) swaps.append(swap) swap = FinOIS(settleDt, "4Y", payRec, (2.90240 + 2.90620) / 200, freq, accrual) swaps.append(swap) swap = FinOIS(settleDt, "5Y", payRec, (2.92944 + 2.92906) / 200, freq, accrual) swaps.append(swap) swap = FinOIS(settleDt, "6Y", payRec, (2.94001 + 2.94499) / 200, freq, accrual) swaps.append(swap) swap = FinOIS(settleDt, "7Y", payRec, (2.95352 + 2.95998) / 200, freq, accrual) swaps.append(swap) swap = FinOIS(settleDt, "8Y", payRec, (2.96830 + 2.97400) / 200, freq, accrual) swaps.append(swap) swap = FinOIS(settleDt, "9Y", payRec, (2.98403 + 2.98817) / 200, freq, accrual) swaps.append(swap) swap = FinOIS(settleDt, "10Y", payRec, (2.99716 + 3.00394) / 200, freq, accrual) swaps.append(swap) swap = FinOIS(settleDt, "11Y", payRec, (3.01344 + 3.01596) / 200, freq, accrual) swaps.append(swap) swap = FinOIS(settleDt, "12Y", payRec, (3.02276 + 3.02684) / 200, freq, accrual) swaps.append(swap) swap = FinOIS(settleDt, "15Y", payRec, (3.04092 + 3.04508) / 200, freq, accrual) swaps.append(swap) swap = FinOIS(settleDt, "20Y", payRec, (3.04417 + 3.05183) / 200, freq, accrual) swaps.append(swap) swap = FinOIS(settleDt, "25Y", payRec, (3.03219 + 3.03621) / 200, freq, accrual) swaps.append(swap) swap = FinOIS(settleDt, "30Y", payRec, (3.01030 + 3.01370) / 200, freq, accrual) swaps.append(swap) swap = FinOIS(settleDt, "40Y", payRec, (2.96946 + 2.97354) / 200, freq, accrual) swaps.append(swap) swap = FinOIS(settleDt, "50Y", payRec, (2.91552 + 2.93748) / 200, freq, accrual) swaps.append(swap) oisCurve = FinOISCurve(valuationDate, depos, fras, swaps) # swaps[0]._fixedLeg.printValuation() # swaps[0]._floatLeg.printValuation() # The valuation of 53714.55 is very close to the spreadsheet value 53713.96 principal = 0.0 testCases.header("VALUATION TO TODAY DATE", " PV") testCases.print("VALUE:", swaps[0].value(valuationDate, oisCurve, None)) testCases.print("FIXED:", -swaps[0]._fixedLeg.value(valuationDate, oisCurve)) testCases.print("FLOAT:", swaps[0]._floatLeg.value(valuationDate, oisCurve, None)) testCases.header("VALUATION TO SWAP SETTLEMENT DATE", " PV") testCases.print("VALUE:", swaps[0].value(settleDt, oisCurve, None)) testCases.print("FIXED:", -swaps[0]._fixedLeg.value(settleDt, oisCurve)) testCases.print("FLOAT:", swaps[0]._floatLeg.value(settleDt, oisCurve, None))
def test_FinOISDepositsFuturesSwaps(): spotDate = FinDate(6, 6, 2018) spotDays = 0 settleDt = spotDate.addWeekDays(spotDays) depoDCCType = FinDayCountTypes.THIRTY_E_360_ISDA depo = FinIborDeposit(settleDt, "1D", 1.712 / 100.0, depoDCCType) depos = [depo] fras = [] fraRate = futureToFRARate(97.6675, -0.00005) frasettleDt = spotDate.nextIMMDate() fraMaturityDate = frasettleDt.nextIMMDate() fra = FinIborFRA(frasettleDt, fraMaturityDate, fraRate, depoDCCType) fras.append(fra) fraRate = futureToFRARate(97.5200, -0.00060) frasettleDt = fraMaturityDate fraMaturityDate = frasettleDt.nextIMMDate() fra = FinIborFRA(frasettleDt, fraMaturityDate, fraRate, depoDCCType) fras.append(fra) fraRate = futureToFRARate(97.3550, -0.00146) frasettleDt = fraMaturityDate fraMaturityDate = frasettleDt.nextIMMDate() fra = FinIborFRA(frasettleDt, fraMaturityDate, fraRate, depoDCCType) fras.append(fra) fraRate = futureToFRARate(97.2450, -0.00263) frasettleDt = fraMaturityDate fraMaturityDate = frasettleDt.nextIMMDate() fra = FinIborFRA(frasettleDt, fraMaturityDate, fraRate, depoDCCType) fras.append(fra) fraRate = futureToFRARate(97.1450, -0.00411) frasettleDt = fraMaturityDate fraMaturityDate = frasettleDt.nextIMMDate() fra = FinIborFRA(frasettleDt, fraMaturityDate, fraRate, depoDCCType) fras.append(fra) fraRate = futureToFRARate(97.0750, -0.00589) frasettleDt = frasettleDt.nextIMMDate() fraMaturityDate = frasettleDt.nextIMMDate() fra = FinIborFRA(frasettleDt, fraMaturityDate, fraRate, depoDCCType) fras.append(fra) ########################################################################### spotDays = 2 startDate = spotDate.addWeekDays(spotDays) swaps = [] fixedLegType = FinSwapTypes.PAY fixedDCCType = FinDayCountTypes.THIRTY_E_360 fixedFreqType = FinFrequencyTypes.SEMI_ANNUAL floatFreqType = FinFrequencyTypes.QUARTERLY notional = 1000000 floatSpread = 0.0 floatDCCType = FinDayCountTypes.ACT_360 calendarType = FinCalendarTypes.US busDayAdjustRule = FinBusDayAdjustTypes.PRECEDING swapRate = 0.02776305 paymentLag = 1 swap = FinOIS(startDate, "2Y", fixedLegType, swapRate, fixedFreqType, fixedDCCType, notional, paymentLag, floatSpread, floatFreqType, floatDCCType, calendarType, busDayAdjustRule) swaps.append(swap) liborCurve = FinOISCurve(spotDate, depos, fras, swaps) times = np.linspace(0.0, 2.0, 25) dates = spotDate.addYears(times) zeroRates = liborCurve.zeroRate(dates) fwdRates = liborCurve.fwd(dates) if PLOT_GRAPHS: plt.figure(figsize=(8, 6)) plt.plot(times, zeroRates * 100, label="zero rates") plt.plot(times, fwdRates * 100, label="fwd rates") plt.xlabel("Times") plt.ylabel("CC forward rates") plt.legend() print("==============================================================") for fra in fras: print(fra) print("==============================================================") endDate = spotDate df = liborCurve.df(endDate) print(endDate, df) endDate = settleDt df = liborCurve.df(endDate) print(endDate, df) endDate = FinDate(20, 6, 2018) df = liborCurve.df(endDate) print(endDate, df) for fra in fras: endDate = fra._maturityDate df = liborCurve.df(endDate) print(endDate, df) for swap in swaps: endDate = swap._maturityDate df = liborCurve.df(endDate) print(endDate, df) swap.printFixedLegPV(spotDate) swap.printFloatLegPV(spotDate)
def test_swapValuationExample(): # Example from # https://blog.deriscope.com/index.php/en/excel-interest-rate-swap-price-dual-bootstrapping-curve vBloomberg = 388147 valuationDate = FinDate(30, 11, 2018) startDate = FinDate(27, 12, 2017) maturityDate = FinDate(27, 12, 2067) notional = 10 * ONE_MILLION fixedLegType = FinSwapTypes.RECEIVE fixedRate = 0.0150 fixedDCCType = FinDayCountTypes.THIRTY_360_BOND fixedFreqType = FinFrequencyTypes.ANNUAL floatSpread = 0.0 floatDCCType = FinDayCountTypes.ACT_360 floatFreqType = FinFrequencyTypes.SEMI_ANNUAL offMarketSwap = FinIborSwapOLD(startDate, maturityDate, fixedLegType, fixedRate, fixedFreqType, fixedDCCType, notional, floatSpread, floatFreqType, floatDCCType) interpType = FinInterpTypes.LINEAR_ZERO_RATES depoDCCType = FinDayCountTypes.ACT_360 depos = [] ########################################################################### # MARKET ########################################################################### spotDays = 0 settlementDate = valuationDate.addWeekDays(spotDays) depo = FinIborDeposit(settlementDate, "6M", -0.2510 / 100.0, depoDCCType) depos.append(depo) fras = [] fraDCCType = FinDayCountTypes.ACT_360 fra = FinIborFRA(settlementDate.addTenor("1M"), "6M", -0.2450 / 100.0, fraDCCType) fras.append(fra) fra = FinIborFRA(settlementDate.addTenor("2M"), "6M", -0.2435 / 100.0, fraDCCType) fras.append(fra) fra = FinIborFRA(settlementDate.addTenor("3M"), "6M", -0.2400 / 100.0, fraDCCType) fras.append(fra) fra = FinIborFRA(settlementDate.addTenor("4M"), "6M", -0.2360 / 100.0, fraDCCType) fras.append(fra) fra = FinIborFRA(settlementDate.addTenor("5M"), "6M", -0.2285 / 100.0, fraDCCType) fras.append(fra) fra = FinIborFRA(settlementDate.addTenor("6M"), "6M", -0.2230 / 100.0, fraDCCType) fras.append(fra) fra = FinIborFRA(settlementDate.addTenor("7M"), "6M", -0.2110 / 100.0, fraDCCType) fras.append(fra) fra = FinIborFRA(settlementDate.addTenor("8M"), "6M", -0.1990 / 100.0, fraDCCType) fras.append(fra) fra = FinIborFRA(settlementDate.addTenor("9M"), "6M", -0.1850 / 100.0, fraDCCType) fras.append(fra) fra = FinIborFRA(settlementDate.addTenor("10M"), "6M", -0.1680 / 100.0, fraDCCType) fras.append(fra) fra = FinIborFRA(settlementDate.addTenor("11M"), "6M", -0.1510 / 100.0, fraDCCType) fras.append(fra) fra = FinIborFRA(settlementDate.addTenor("12M"), "6M", -0.1360 / 100.0, fraDCCType) fras.append(fra) swaps = [] fixedLegType = FinSwapTypes.PAY fixedDCCType = FinDayCountTypes.THIRTY_360_BOND fixedFreqType = FinFrequencyTypes.ANNUAL swap = FinIborSwapOLD(settlementDate, "2Y", fixedLegType, -0.1525 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "3Y", fixedLegType, -0.0185 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "4Y", fixedLegType, 0.1315 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "5Y", fixedLegType, 0.2745 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "6Y", fixedLegType, 0.4135 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "7Y", fixedLegType, 0.5439 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "8Y", fixedLegType, 0.6652 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "9Y", fixedLegType, 0.7784 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "10Y", fixedLegType, 0.8799 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "11Y", fixedLegType, 0.9715 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "12Y", fixedLegType, 1.0517 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "15Y", fixedLegType, 1.2369 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "20Y", fixedLegType, 1.3965 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "25Y", fixedLegType, 1.4472 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "30Y", fixedLegType, 1.4585 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "35Y", fixedLegType, 1.4595 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "40Y", fixedLegType, 1.4535 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "45Y", fixedLegType, 1.4410 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "50Y", fixedLegType, 1.4335 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) iborDepos = depos.copy() iborFras = fras.copy() iborSwaps = swaps.copy() iborCurve = FinIborSingleCurve(valuationDate, iborDepos, iborFras, iborSwaps, interpType) v1 = offMarketSwap.value(valuationDate, iborCurve, iborCurve, -0.268 / 100.0) testCases.banner("DERISCOPE EXAMPLE REPLICATION") testCases.header("LABEL", "VALUE") testCases.print("BBG VALUE", vBloomberg) testCases.print("FP ONE CURVE VALUE", v1) ############################################################################### depoDCCType = FinDayCountTypes.ACT_360 depos = [] spotDays = 0 settlementDate = valuationDate.addWeekDays(spotDays) depo = FinIborDeposit(settlementDate, "1D", -0.3490 / 100.0, depoDCCType) depos.append(depo) fras = [] swaps = [] fixedLegType = FinSwapTypes.PAY fixedDCCType = FinDayCountTypes.ACT_365F fixedFreqType = FinFrequencyTypes.ANNUAL # Standard OIS with standard annual terms swap = FinOIS(settlementDate, "2W", fixedLegType, -0.3600 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "1M", fixedLegType, -0.3560 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "2M", fixedLegType, -0.3570 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "3M", fixedLegType, -0.3580 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "4M", fixedLegType, -0.3575 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "5M", fixedLegType, -0.3578 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "6M", fixedLegType, -0.3580 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "7M", fixedLegType, -0.3600 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "8M", fixedLegType, -0.3575 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "9M", fixedLegType, -0.3569 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "10M", fixedLegType, -0.3553 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "11M", fixedLegType, -0.3534 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "12M", fixedLegType, -0.3496 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "18M", fixedLegType, -0.3173 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "2Y", fixedLegType, -0.2671 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "30M", fixedLegType, -0.2070 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "3Y", fixedLegType, -0.1410 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "4Y", fixedLegType, -0.0060 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "5Y", fixedLegType, 0.1285 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "6Y", fixedLegType, 0.2590 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "7Y", fixedLegType, 0.3830 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "8Y", fixedLegType, 0.5020 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "9Y", fixedLegType, 0.6140 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "10Y", fixedLegType, 0.7160 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "11Y", fixedLegType, 0.8070 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "12Y", fixedLegType, 0.8890 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "15Y", fixedLegType, 1.0790 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "20Y", fixedLegType, 1.2460 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "25Y", fixedLegType, 1.3055 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "30Y", fixedLegType, 1.3270 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "35Y", fixedLegType, 1.3315 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "40Y", fixedLegType, 1.3300 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) swap = FinOIS(settlementDate, "50Y", fixedLegType, 1.3270 / 100.0, fixedFreqType, fixedDCCType) swaps.append(swap) oisDepos = depos.copy() oisFras = fras.copy() oisSwaps = swaps.copy() # oisCurveFF = FinOISCurve(valuationDate, oisDepos, oisFras, oisSwaps, interpType) iborDualCurve = FinIborDualCurve(valuationDate, oisCurveFF, iborDepos, iborFras, iborSwaps, interpType)
def test_bloombergPricingExample(): ''' This is an example of a replication of a BBG example from https://github.com/vilen22/curve-building/blob/master/Bloomberg%20Curve%20Building%20Replication.xlsx ''' valuationDate = FinDate(6, 6, 2018) # We do the O/N rate which settles on trade date spotDays = 0 settlementDate = valuationDate.addWeekDays(spotDays) depoDCCType = FinDayCountTypes.ACT_360 depos = [] depositRate = 0.0231381 maturityDate = settlementDate.addMonths(3) depo = FinIborDeposit(settlementDate, maturityDate, depositRate, depoDCCType) depos.append(depo) futs = [] fut = FinIborFuture(valuationDate, 1) futs.append(fut) fut = FinIborFuture(valuationDate, 2) futs.append(fut) fut = FinIborFuture(valuationDate, 3) futs.append(fut) fut = FinIborFuture(valuationDate, 4) futs.append(fut) fut = FinIborFuture(valuationDate, 5) futs.append(fut) fut = FinIborFuture(valuationDate, 6) futs.append(fut) fras = [None] * 6 fras[0] = futs[0].toFRA(97.6675, -0.00005) fras[1] = futs[1].toFRA(97.5200, -0.00060) fras[2] = futs[2].toFRA(97.3550, -0.00146) fras[3] = futs[3].toFRA(97.2450, -0.00263) fras[4] = futs[4].toFRA(97.1450, -0.00411) fras[5] = futs[5].toFRA(97.0750, -0.00589) accrual = FinDayCountTypes.THIRTY_E_360 freq = FinFrequencyTypes.SEMI_ANNUAL spotDays = 2 settlementDate = valuationDate.addWeekDays(spotDays) notional = ONE_MILLION fixedLegType = FinSwapTypes.PAY interpType = FinInterpTypes.FLAT_FWD_RATES swaps = [] swap = FinIborSwapOLD(settlementDate, "2Y", fixedLegType, (2.77417 + 2.77844) / 200, freq, accrual) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "3Y", fixedLegType, (2.86098 + 2.86582) / 200, freq, accrual) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "4Y", fixedLegType, (2.90240 + 2.90620) / 200, freq, accrual) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "5Y", fixedLegType, (2.92944 + 2.92906) / 200, freq, accrual) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "6Y", fixedLegType, (2.94001 + 2.94499) / 200, freq, accrual) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "7Y", fixedLegType, (2.95352 + 2.95998) / 200, freq, accrual) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "8Y", fixedLegType, (2.96830 + 2.97400) / 200, freq, accrual) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "9Y", fixedLegType, (2.98403 + 2.98817) / 200, freq, accrual) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "10Y", fixedLegType, (2.99716 + 3.00394) / 200, freq, accrual) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "11Y", fixedLegType, (3.01344 + 3.01596) / 200, freq, accrual) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "12Y", fixedLegType, (3.02276 + 3.02684) / 200, freq, accrual) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "15Y", fixedLegType, (3.04092 + 3.04508) / 200, freq, accrual) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "20Y", fixedLegType, (3.04417 + 3.05183) / 200, freq, accrual) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "25Y", fixedLegType, (3.03219 + 3.03621) / 200, freq, accrual) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "30Y", fixedLegType, (3.01030 + 3.01370) / 200, freq, accrual) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "40Y", fixedLegType, (2.96946 + 2.97354) / 200, freq, accrual) swaps.append(swap) swap = FinIborSwapOLD(settlementDate, "50Y", fixedLegType, (2.91552 + 2.93748) / 200, freq, accrual) swaps.append(swap) liborCurve = FinIborSingleCurveOLD(valuationDate, depos, fras, swaps, interpType, True) principal = 0.0 testCases.banner("======================================================") testCases.banner("SINGLE CURVE VALUATION") testCases.header("LABEL", "VALUE") testCases.print( "VALUE:", swaps[0].value(valuationDate, liborCurve, liborCurve, None)) testCases.print("FIXED:", swaps[0].fixedLegValue(valuationDate, liborCurve)) testCases.print( "FLOAT:", swaps[0].floatLegValue(valuationDate, liborCurve, liborCurve, None)) testCases.banner("======================================================") testCases.banner("SINGLE CURVE VALUATION TO SWAP SETTLEMENT DATE") testCases.header("LABEL", "VALUE") testCases.print( "VALUE:", swaps[0].value(settlementDate, liborCurve, liborCurve, None)) testCases.print("FIXED:", swaps[0].fixedLegValue(settlementDate, liborCurve)) testCases.print( "FLOAT:", swaps[0].floatLegValue(settlementDate, liborCurve, liborCurve, None)) testCases.banner("======================================================") # swaps[0].printFixedLegPV() # swaps[0].printFloatLegPV() oisCurve = buildOIS(valuationDate) # print(oisCurve) liborDualCurve = FinIborDualCurveOLD(valuationDate, oisCurve, depos, fras, swaps, FinInterpTypes.FLAT_FWD_RATES, True) # print(liborDualCurve) # The valuation of 53714.55 is very close to the spreadsheet value 53713.96 testCases.header("VALUATION TO TODAY DATE", " PV") testCases.print( "VALUE:", swaps[0].value(valuationDate, oisCurve, liborDualCurve, None)) testCases.print("FIXED:", swaps[0].fixedLegValue(valuationDate, oisCurve)) testCases.print( "FLOAT:", swaps[0].floatLegValue(valuationDate, oisCurve, liborCurve, None)) testCases.header("VALUATION TO SWAP SETTLEMENT DATE", " PV") testCases.print( "VALUE:", swaps[0].value(settlementDate, oisCurve, liborDualCurve, None)) testCases.print("FIXED:", swaps[0].fixedLegValue(settlementDate, oisCurve)) testCases.print( "FLOAT:", swaps[0].floatLegValue( settlementDate, oisCurve, liborDualCurve, None, )) # swaps[0].printFixedLegPV() # swaps[0].printFloatLegPV() PLOT = False if PLOT is True: years = np.linspace(0, 5, 21) dates = settlementDate.addYears(years) singleCurveFwds = liborCurve.fwd(dates) plt.plot(years, singleCurveFwds, label="Single Libor Curve") oisCurveFwds = oisCurve.fwd(dates) plt.plot(years, oisCurveFwds, label="OIS Curve") indexCurveFwds = liborDualCurve.fwd(dates) plt.plot(years, indexCurveFwds, label="Libor Index Curve") plt.legend()
def test_FinIborSwaptionQLExample(): valuationDate = FinDate(4, 3, 2014) settlementDate = FinDate(4, 3, 2014) depoDCCType = FinDayCountTypes.THIRTY_E_360_ISDA depos = [] depo = FinIborDeposit(settlementDate, "1W", 0.0023, depoDCCType) depos.append(depo) depo = FinIborDeposit(settlementDate, "1M", 0.0023, depoDCCType) depos.append(depo) depo = FinIborDeposit(settlementDate, "3M", 0.0023, depoDCCType) depos.append(depo) depo = FinIborDeposit(settlementDate, "6M", 0.0023, depoDCCType) depos.append(depo) # No convexity correction provided so I omit interest rate futures swaps = [] accType = FinDayCountTypes.ACT_365F fixedFreqType = FinFrequencyTypes.SEMI_ANNUAL fixedLegType = FinSwapTypes.PAY swap = FinIborSwap(settlementDate, "3Y", fixedLegType, 0.00790, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "4Y", fixedLegType, 0.01200, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "5Y", fixedLegType, 0.01570, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "6Y", fixedLegType, 0.01865, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "7Y", fixedLegType, 0.02160, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "8Y", fixedLegType, 0.02350, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "9Y", fixedLegType, 0.02540, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "10Y", fixedLegType, 0.0273, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "15Y", fixedLegType, 0.0297, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "20Y", fixedLegType, 0.0316, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "25Y", fixedLegType, 0.0335, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "30Y", fixedLegType, 0.0354, fixedFreqType, accType) swaps.append(swap) liborCurve = FinIborSingleCurve(valuationDate, depos, [], swaps, FinInterpTypes.LINEAR_ZERO_RATES) exerciseDate = settlementDate.addTenor("5Y") swapMaturityDate = exerciseDate.addTenor("5Y") swapFixedCoupon = 0.040852 swapFixedFrequencyType = FinFrequencyTypes.SEMI_ANNUAL swapFixedDayCountType = FinDayCountTypes.THIRTY_E_360_ISDA swapFloatFrequencyType = FinFrequencyTypes.QUARTERLY swapFloatDayCountType = FinDayCountTypes.ACT_360 swapNotional = 1000000 swaptionType = FinSwapTypes.PAY swaption = FinIborSwaption(settlementDate, exerciseDate, swapMaturityDate, swaptionType, swapFixedCoupon, swapFixedFrequencyType, swapFixedDayCountType, swapNotional, swapFloatFrequencyType, swapFloatDayCountType) testCases.header("MODEL", "VALUE") model = FinModelBlack(0.1533) v = swaption.value(settlementDate, liborCurve, model) testCases.print(model.__class__, v) model = FinModelBlackShifted(0.1533, -0.008) v = swaption.value(settlementDate, liborCurve, model) testCases.print(model.__class__, v) model = FinModelSABR(0.132, 0.5, 0.5, 0.5) v = swaption.value(settlementDate, liborCurve, model) testCases.print(model.__class__, v) model = FinModelSABRShifted(0.352, 0.5, 0.15, 0.15, -0.005) v = swaption.value(settlementDate, liborCurve, model) testCases.print(model.__class__, v) model = FinModelRatesHW(0.010000000, 0.00000000001) v = swaption.value(settlementDate, liborCurve, model) testCases.print(model.__class__, v)
def buildIborCurve(valuationDate): depoDCCType = FinDayCountTypes.THIRTY_E_360_ISDA depos = [] payFixed = FinSwapTypes.PAY spotDays = 2 settlementDate = valuationDate.addWeekDays(spotDays) depositRate = 0.050 maturityDate = settlementDate.addMonths(1) depo1 = FinIborDeposit( settlementDate, maturityDate, depositRate, depoDCCType) maturityDate = settlementDate.addMonths(3) depo2 = FinIborDeposit( settlementDate, maturityDate, depositRate, depoDCCType) maturityDate = settlementDate.addMonths(6) depo3 = FinIborDeposit( settlementDate, maturityDate, depositRate, depoDCCType) maturityDate = settlementDate.addMonths(9) depo4 = FinIborDeposit( settlementDate, maturityDate, depositRate, depoDCCType) maturityDate = settlementDate.addMonths(12) depo5 = FinIborDeposit( settlementDate, maturityDate, depositRate, depoDCCType) depos.append(depo1) depos.append(depo2) depos.append(depo3) depos.append(depo4) depos.append(depo5) fras = [] fixedDCCType = FinDayCountTypes.ACT_365F fixedFreqType = FinFrequencyTypes.SEMI_ANNUAL swaps = [] swapRate = 0.05 maturityDate = settlementDate.addMonths(24) swap1 = FinIborSwap( settlementDate, maturityDate, swapRate, payFixed, fixedFreqType, fixedDCCType) swaps.append(swap1) maturityDate = settlementDate.addMonths(36) swap2 = FinIborSwap( settlementDate, maturityDate, swapRate, payFixed, fixedFreqType, fixedDCCType) swaps.append(swap2) maturityDate = settlementDate.addMonths(48) swap3 = FinIborSwap( settlementDate, maturityDate, swapRate, payFixed, fixedFreqType, fixedDCCType) swaps.append(swap3) maturityDate = settlementDate.addMonths(60) swap4 = FinIborSwap( settlementDate, maturityDate, swapRate, payFixed, fixedFreqType, fixedDCCType) swaps.append(swap4) maturityDate = settlementDate.addMonths(72) swap5 = FinIborSwap( settlementDate, maturityDate, swapRate, payFixed, fixedFreqType, fixedDCCType) swaps.append(swap5) maturityDate = settlementDate.addMonths(84) swap6 = FinIborSwap( settlementDate, maturityDate, swapRate, payFixed, fixedFreqType, fixedDCCType) swaps.append(swap6) maturityDate = settlementDate.addMonths(96) swap7 = FinIborSwap( settlementDate, maturityDate, swapRate, payFixed, fixedFreqType, fixedDCCType) swaps.append(swap7) maturityDate = settlementDate.addMonths(108) swap8 = FinIborSwap( settlementDate, maturityDate, swapRate, payFixed, fixedFreqType, fixedDCCType) swaps.append(swap8) maturityDate = settlementDate.addMonths(120) swap9 = FinIborSwap( settlementDate, maturityDate, swapRate, payFixed, fixedFreqType, fixedDCCType) swaps.append(swap9) liborCurve = FinIborSingleCurve(valuationDate, depos, fras, swaps) if 1 == 0: import numpy as np numSteps = 40 dt = 10 / numSteps times = np.linspace(0.0, 10.0, numSteps + 1) df0 = 1.0 for t in times[1:]: df1 = liborCurve.df(t) fwd = (df0 / df1 - 1.0) / dt print(t, df1, fwd) df0 = df1 return liborCurve
def test_derivativePricingExample(): valuationDate = FinDate(10, 11, 2011) dccType = FinDayCountTypes.ACT_360 depos = [] # We do the O/N rate which settles on trade date spotDays = 0 settlementDate = valuationDate.addWeekDays(spotDays) depositRate = 0.001410 depo = FinIborDeposit(settlementDate, "ON", depositRate, dccType) depos.append(depo) spotDays = 1 settlementDate = valuationDate.addWeekDays(spotDays) depositRate = 0.001410 depo = FinIborDeposit(settlementDate, "TN", depositRate, dccType) depos.append(depo) spotDays = 2 settlementDate = valuationDate.addWeekDays(spotDays) depositRate = 0.001910 depo = FinIborDeposit(settlementDate, "1W", depositRate, dccType) depos.append(depo) depositRate = 0.002090 depo = FinIborDeposit(settlementDate, "2W", depositRate, dccType) depos.append(depo) depositRate = 0.002490 depo = FinIborDeposit(settlementDate, "1M", depositRate, dccType) depos.append(depo) depositRate = 0.003450 depo = FinIborDeposit(settlementDate, "2M", depositRate, dccType) depos.append(depo) depositRate = 0.004570 depo = FinIborDeposit(settlementDate, "3M", depositRate, dccType) depos.append(depo) depositRate = 0.005230 depo = FinIborDeposit(settlementDate, "4M", depositRate, dccType) depos.append(depo) depositRate = 0.005860 depo = FinIborDeposit(settlementDate, "5M", depositRate, dccType) depos.append(depo) depositRate = 0.006540 depo = FinIborDeposit(settlementDate, "6M", depositRate, dccType) depos.append(depo) depositRate = 0.007080 depo = FinIborDeposit(settlementDate, "7M", depositRate, dccType) depos.append(depo) depositRate = 0.007540 depo = FinIborDeposit(settlementDate, "8M", depositRate, dccType) depos.append(depo) depositRate = 0.008080 depo = FinIborDeposit(settlementDate, "9M", depositRate, dccType) depos.append(depo) depositRate = 0.008570 depo = FinIborDeposit(settlementDate, "10M", depositRate, dccType) depos.append(depo) depositRate = 0.009130 depo = FinIborDeposit(settlementDate, "11M", depositRate, dccType) depos.append(depo) fras = [] swaps = [] dayCountType = FinDayCountTypes.THIRTY_E_360_ISDA # dayCountType = FinDayCountTypes.ACT_360 freqType = FinFrequencyTypes.SEMI_ANNUAL swapType = FinSwapTypes.PAYER swapRate = 0.0058 swap = FinIborSwap(settlementDate, "1Y", swapType, swapRate, freqType, dayCountType) swaps.append(swap) swapRate = 0.0060 swap = FinIborSwap(settlementDate, "2Y", swapType, swapRate, freqType, dayCountType) swaps.append(swap) swapRate = 0.0072 swap = FinIborSwap(settlementDate, "3Y", swapType, swapRate, freqType, dayCountType) swaps.append(swap) swapRate = 0.0096 swap = FinIborSwap(settlementDate, "4Y", swapType, swapRate, freqType, dayCountType) swaps.append(swap) swapRate = 0.0124 swap = FinIborSwap(settlementDate, "5Y", swapType, swapRate, freqType, dayCountType) swaps.append(swap) swapRate = 0.0173 swap = FinIborSwap(settlementDate, "7Y", swapType, swapRate, freqType, dayCountType) swaps.append(swap) swapRate = 0.0219 swap = FinIborSwap(settlementDate, "10Y", swapType, swapRate, freqType, dayCountType) swaps.append(swap) swapRate = 0.0283 swap = FinIborSwap(settlementDate, "30Y", swapType, swapRate, freqType, dayCountType) swaps.append(swap) numRepeats = 10 start = time.time() for _ in range(0, numRepeats): _ = FinIborCurve(valuationDate, depos, fras, swaps, FinInterpTypes.FLAT_FORWARDS) end = time.time() elapsed1 = end - start start = time.time() for _ in range(0, numRepeats): _ = FinIborCurve(valuationDate, depos, fras, swaps, FinInterpTypes.LINEAR_SWAP_RATES) end = time.time() elapsed2 = end - start testCases.header("METHOD", "TIME") testCases.print("NON-LINEAR SOLVER BOOTSTRAP", elapsed1 / numRepeats) testCases.print("LINEAR SWAP BOOTSTRAP", elapsed2 / numRepeats)
def test_bloombergPricingExample(interpType): ''' This is an example of a replication of a BBG example from https://github.com/vilen22/curve-building/blob/master/Bloomberg%20Curve%20Building%20Replication.xlsx ''' valuationDate = FinDate(6, 6, 2018) # We do the O/N rate which settles on trade date spotDays = 0 settlementDate = valuationDate.addWeekDays(spotDays) depoDCCType = FinDayCountTypes.ACT_360 depos = [] depositRate = 0.0231381 maturityDate = settlementDate.addMonths(3) depo = FinIborDeposit(settlementDate, maturityDate, depositRate, depoDCCType) depos.append(depo) futs = [] fut = FinIborFuture(valuationDate, 1); futs.append(fut) fut = FinIborFuture(valuationDate, 2); futs.append(fut) fut = FinIborFuture(valuationDate, 3); futs.append(fut) fut = FinIborFuture(valuationDate, 4); futs.append(fut) fut = FinIborFuture(valuationDate, 5); futs.append(fut) fut = FinIborFuture(valuationDate, 6); futs.append(fut) fras = [None]*6 fras[0] = futs[0].toFRA(97.6675, -0.00005) fras[1] = futs[1].toFRA(97.5200, -0.00060) fras[2] = futs[2].toFRA(97.3550, -0.00146) fras[3] = futs[3].toFRA(97.2450, -0.00263) fras[4] = futs[4].toFRA(97.1450, -0.00411) fras[5] = futs[5].toFRA(97.0750, -0.00589) accrual = FinDayCountTypes.THIRTY_E_360 freq = FinFrequencyTypes.SEMI_ANNUAL spotDays = 2 settlementDate = valuationDate.addWeekDays(spotDays) notional = ONE_MILLION fixedLegType = FinSwapTypes.PAY swaps = [] swap = FinIborSwap(settlementDate, "2Y", fixedLegType, (2.77417+2.77844)/200, freq, accrual); swaps.append(swap) swap = FinIborSwap(settlementDate, "3Y", fixedLegType, (2.86098+2.86582)/200, freq, accrual); swaps.append(swap) swap = FinIborSwap(settlementDate, "4Y", fixedLegType, (2.90240+2.90620)/200, freq, accrual); swaps.append(swap) swap = FinIborSwap(settlementDate, "5Y", fixedLegType, (2.92944+2.92906)/200, freq, accrual); swaps.append(swap) swap = FinIborSwap(settlementDate, "6Y", fixedLegType, (2.94001+2.94499)/200, freq, accrual); swaps.append(swap) swap = FinIborSwap(settlementDate, "7Y", fixedLegType, (2.95352+2.95998)/200, freq, accrual); swaps.append(swap) swap = FinIborSwap(settlementDate, "8Y", fixedLegType, (2.96830+2.97400)/200, freq, accrual); swaps.append(swap) swap = FinIborSwap(settlementDate, "9Y", fixedLegType, (2.98403+2.98817)/200, freq, accrual); swaps.append(swap) swap = FinIborSwap(settlementDate, "10Y", fixedLegType, (2.99716+3.00394)/200, freq, accrual); swaps.append(swap) swap = FinIborSwap(settlementDate, "11Y", fixedLegType, (3.01344+3.01596)/200, freq, accrual); swaps.append(swap) swap = FinIborSwap(settlementDate, "12Y", fixedLegType, (3.02276+3.02684)/200, freq, accrual); swaps.append(swap) swap = FinIborSwap(settlementDate, "15Y", fixedLegType, (3.04092+3.04508)/200, freq, accrual); swaps.append(swap) swap = FinIborSwap(settlementDate, "20Y", fixedLegType, (3.04417+3.05183)/200, freq, accrual); swaps.append(swap) swap = FinIborSwap(settlementDate, "25Y", fixedLegType, (3.03219+3.03621)/200, freq, accrual); swaps.append(swap) swap = FinIborSwap(settlementDate, "30Y", fixedLegType, (3.01030+3.01370)/200, freq, accrual); swaps.append(swap) swap = FinIborSwap(settlementDate, "40Y", fixedLegType, (2.96946+2.97354)/200, freq, accrual); swaps.append(swap) swap = FinIborSwap(settlementDate, "50Y", fixedLegType, (2.91552+2.93748)/200, freq, accrual); swaps.append(swap) liborCurve = FinIborSingleCurve(valuationDate, depos, fras, swaps, interpType) # The valuation of 53714.55 is very close to the spreadsheet value 53713.96 principal = 0.0 # Pay fixed so make fixed leg value negative testCases.header("VALUATION TO TODAY DATE"," PV") testCases.print("VALUE:", swaps[0].value(valuationDate, liborCurve, liborCurve, None)) testCases.print("FIXED:", -swaps[0]._fixedLeg.value(valuationDate, liborCurve)) testCases.print("FLOAT:", swaps[0]._floatLeg.value(valuationDate, liborCurve, liborCurve, None)) # Pay fixed so make fixed leg value negative testCases.header("VALUATION TO SWAP SETTLEMENT DATE"," PV") testCases.print("VALUE:", swaps[0].value(settlementDate, liborCurve, liborCurve, None)) testCases.print("FIXED:", -swaps[0]._fixedLeg.value(settlementDate, liborCurve)) testCases.print("FLOAT:", swaps[0]._floatLeg.value(settlementDate, liborCurve, liborCurve, None)) # swaps[0].printFixedLegPV() # swaps[0].printFloatLegPV() if 1==0: plt.figure() years = np.linspace(0, 50, 500) dates = settlementDate.addYears(years) fwds = liborCurve.fwd(dates) plt.plot(years, fwds, label = "Fwd Rate") plt.title(interpType) plt.xlabel("Years") plt.legend() years = np.linspace(0, 50, 500) dates = settlementDate.addYears(years) fwds = liborCurve.zeroRate(dates) plt.plot(years, fwds, label = "Zero Rate") plt.title(interpType) plt.xlabel("Years") plt.ylabel("Rate") plt.legend()
def buildFullIssuerCurve2(mktSpreadBump, irBump): # https://www.markit.com/markit.jsp?jsppage=pv.jsp # YIELD CURVE 20 August 2020 SNAP AT 1600 m = 1.0 settlementDate = FinDate(24, 8, 2020) dcType = FinDayCountTypes.ACT_360 depos = [] maturityDate = settlementDate.addMonths(1) depo1 = FinIborDeposit(settlementDate, maturityDate, m * 0.001709, dcType) maturityDate = settlementDate.addMonths(2) depo2 = FinIborDeposit(settlementDate, maturityDate, m * 0.002123, dcType) maturityDate = settlementDate.addMonths(3) depo3 = FinIborDeposit(settlementDate, maturityDate, m * 0.002469, dcType) maturityDate = settlementDate.addMonths(6) depo4 = FinIborDeposit(settlementDate, maturityDate, m * 0.003045, dcType) maturityDate = settlementDate.addMonths(12) depo5 = FinIborDeposit(settlementDate, maturityDate, m * 0.004449, dcType) depos.append(depo1) depos.append(depo2) depos.append(depo3) depos.append(depo4) depos.append(depo5) swaps = [] dcType = FinDayCountTypes.THIRTY_E_360_ISDA fixedFreq = FinFrequencyTypes.SEMI_ANNUAL maturityDate = settlementDate.addMonths(24) swap1 = FinIborSwap(settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.002155 + irBump, fixedFreq, dcType) swaps.append(swap1) maturityDate = settlementDate.addMonths(36) swap2 = FinIborSwap(settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.002305 + irBump, fixedFreq, dcType) swaps.append(swap2) maturityDate = settlementDate.addMonths(48) swap3 = FinIborSwap(settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.002665 + irBump, fixedFreq, dcType) swaps.append(swap3) maturityDate = settlementDate.addMonths(60) swap4 = FinIborSwap(settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.003290 + irBump, fixedFreq, dcType) swaps.append(swap4) liborCurve = FinIborCurve(settlementDate, depos, [], swaps) cdsCoupon = 0.01 + mktSpreadBump cdsMarketContracts = [] effectiveDate = FinDate(21, 8, 2020) cds = FinCDS(effectiveDate, "6M", cdsCoupon) cdsMarketContracts.append(cds) cds = FinCDS(effectiveDate, "1Y", cdsCoupon) cdsMarketContracts.append(cds) cds = FinCDS(effectiveDate, "2Y", cdsCoupon) cdsMarketContracts.append(cds) cds = FinCDS(effectiveDate, "3Y", cdsCoupon) cdsMarketContracts.append(cds) cds = FinCDS(effectiveDate, "4Y", cdsCoupon) cdsMarketContracts.append(cds) cds = FinCDS(effectiveDate, "5Y", cdsCoupon) cdsMarketContracts.append(cds) cds = FinCDS(effectiveDate, "7Y", cdsCoupon) cdsMarketContracts.append(cds) cds = FinCDS(effectiveDate, "10Y", cdsCoupon) cdsMarketContracts.append(cds) recoveryRate = 0.40 issuerCurve = FinCDSCurve(settlementDate, cdsMarketContracts, liborCurve, recoveryRate) testCases.header("DATE", "DISCOUNT_FACTOR", "SURV_PROB") years = np.linspace(0.0, 10.0, 20) dates = settlementDate.addYears(years) for dt in dates: df = liborCurve.df(dt) q = issuerCurve.survProb(dt) testCases.print("%16s" % dt, "%12.8f" % df, "%12.8f" % q) return liborCurve, issuerCurve
def buildFullIssuerCurve1(mktSpreadBump, irBump): # https://www.markit.com/markit.jsp?jsppage=pv.jsp # YIELD CURVE 8-AUG-2019 SNAP AT 1600 tradeDate = FinDate(2019, 8, 9) valuationDate = tradeDate.addDays(1) dcType = FinDayCountTypes.ACT_360 depos = [] m = 1.0 # 0.00000000000 spotDays = 2 settlementDate = valuationDate.addDays(spotDays) maturityDate = settlementDate.addMonths(1) depo1 = FinIborDeposit(settlementDate, maturityDate, m * 0.022009, dcType) maturityDate = settlementDate.addMonths(2) depo2 = FinIborDeposit(settlementDate, maturityDate, m * 0.022138, dcType) maturityDate = settlementDate.addMonths(3) depo3 = FinIborDeposit(settlementDate, maturityDate, m * 0.021810, dcType) maturityDate = settlementDate.addMonths(6) depo4 = FinIborDeposit(settlementDate, maturityDate, m * 0.020503, dcType) maturityDate = settlementDate.addMonths(12) depo5 = FinIborDeposit(settlementDate, maturityDate, m * 0.019930, dcType) depos.append(depo1) depos.append(depo2) depos.append(depo3) depos.append(depo4) depos.append(depo5) fras = [] swaps = [] dcType = FinDayCountTypes.THIRTY_E_360_ISDA fixedFreq = FinFrequencyTypes.SEMI_ANNUAL maturityDate = settlementDate.addMonths(24) swap1 = FinIborSwap(settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.015910 + irBump, fixedFreq, dcType) swaps.append(swap1) maturityDate = settlementDate.addMonths(36) swap2 = FinIborSwap(settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.014990 + irBump, fixedFreq, dcType) swaps.append(swap2) maturityDate = settlementDate.addMonths(48) swap3 = FinIborSwap(settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.014725 + irBump, fixedFreq, dcType) swaps.append(swap3) maturityDate = settlementDate.addMonths(60) swap4 = FinIborSwap(settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.014640 + irBump, fixedFreq, dcType) swaps.append(swap4) maturityDate = settlementDate.addMonths(72) swap5 = FinIborSwap(settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.014800 + irBump, fixedFreq, dcType) swaps.append(swap5) maturityDate = settlementDate.addMonths(84) swap6 = FinIborSwap(settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.014995 + irBump, fixedFreq, dcType) swaps.append(swap6) maturityDate = settlementDate.addMonths(96) swap7 = FinIborSwap(settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.015180 + irBump, fixedFreq, dcType) swaps.append(swap7) maturityDate = settlementDate.addMonths(108) swap8 = FinIborSwap(settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.015610 + irBump, fixedFreq, dcType) swaps.append(swap8) maturityDate = settlementDate.addMonths(120) swap9 = FinIborSwap(settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.015880 + irBump, fixedFreq, dcType) swaps.append(swap9) maturityDate = settlementDate.addMonths(144) swap10 = FinIborSwap(settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.016430 + irBump, fixedFreq, dcType) swaps.append(swap10) liborCurve = FinIborCurve(settlementDate, depos, fras, swaps) cdsMarketContracts = [] cdsCoupon = 0.04 + mktSpreadBump maturityDate = valuationDate.nextCDSDate(6) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) maturityDate = valuationDate.nextCDSDate(12) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) maturityDate = valuationDate.nextCDSDate(24) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) maturityDate = valuationDate.nextCDSDate(36) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) maturityDate = valuationDate.nextCDSDate(48) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) maturityDate = valuationDate.nextCDSDate(60) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) maturityDate = valuationDate.nextCDSDate(84) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) maturityDate = valuationDate.nextCDSDate(120) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) maturityDate = valuationDate.nextCDSDate(180) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) recoveryRate = 0.40 issuerCurve = FinCDSCurve(settlementDate, cdsMarketContracts, liborCurve, recoveryRate) return liborCurve, issuerCurve
def buildFullIssuerCurve(valuationDate): dcType = FinDayCountTypes.ACT_360 depos = [] irBump = 0.0 m = 1.0 # 0.00000000000 spotDays = 0 settlementDate = valuationDate.addDays(spotDays) maturityDate = settlementDate.addMonths(1) depo1 = FinIborDeposit(settlementDate, maturityDate, m * 0.0016, dcType) maturityDate = settlementDate.addMonths(2) depo2 = FinIborDeposit(settlementDate, maturityDate, m * 0.0020, dcType) maturityDate = settlementDate.addMonths(3) depo3 = FinIborDeposit(settlementDate, maturityDate, m * 0.0024, dcType) maturityDate = settlementDate.addMonths(6) depo4 = FinIborDeposit(settlementDate, maturityDate, m * 0.0033, dcType) maturityDate = settlementDate.addMonths(12) depo5 = FinIborDeposit(settlementDate, maturityDate, m * 0.0056, dcType) depos.append(depo1) depos.append(depo2) depos.append(depo3) depos.append(depo4) depos.append(depo5) fras = [] spotDays = 2 settlementDate = valuationDate.addDays(spotDays) swaps = [] dcType = FinDayCountTypes.THIRTY_E_360_ISDA fixedFreq = FinFrequencyTypes.SEMI_ANNUAL maturityDate = settlementDate.addMonths(24) swap1 = FinIborSwap( settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.0044 + irBump, fixedFreq, dcType) swaps.append(swap1) maturityDate = settlementDate.addMonths(36) swap2 = FinIborSwap( settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.0078 + irBump, fixedFreq, dcType) swaps.append(swap2) maturityDate = settlementDate.addMonths(48) swap3 = FinIborSwap( settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.0119 + irBump, fixedFreq, dcType) swaps.append(swap3) maturityDate = settlementDate.addMonths(60) swap4 = FinIborSwap( settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.0158 + irBump, fixedFreq, dcType) swaps.append(swap4) maturityDate = settlementDate.addMonths(72) swap5 = FinIborSwap( settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.0192 + irBump, fixedFreq, dcType) swaps.append(swap5) maturityDate = settlementDate.addMonths(84) swap6 = FinIborSwap( settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.0219 + irBump, fixedFreq, dcType) swaps.append(swap6) maturityDate = settlementDate.addMonths(96) swap7 = FinIborSwap( settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.0242 + irBump, fixedFreq, dcType) swaps.append(swap7) maturityDate = settlementDate.addMonths(108) swap8 = FinIborSwap( settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.0261 + irBump, fixedFreq, dcType) swaps.append(swap8) maturityDate = settlementDate.addMonths(120) swap9 = FinIborSwap( settlementDate, maturityDate, FinSwapTypes.PAYER, m * 0.0276 + irBump, fixedFreq, dcType) swaps.append(swap9) liborCurve = FinIborCurve(valuationDate, depos, fras, swaps) cdsMarketContracts = [] cdsCoupon = 0.005743 maturityDate = valuationDate.nextCDSDate(6) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) cdsCoupon = 0.007497 maturityDate = valuationDate.nextCDSDate(12) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) cdsCoupon = 0.011132 maturityDate = valuationDate.nextCDSDate(24) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) cdsCoupon = 0.013932 maturityDate = valuationDate.nextCDSDate(36) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) cdsCoupon = 0.015764 maturityDate = valuationDate.nextCDSDate(48) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) cdsCoupon = 0.017366 maturityDate = valuationDate.nextCDSDate(60) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) cdsCoupon = 0.020928 maturityDate = valuationDate.nextCDSDate(84) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) cdsCoupon = 0.022835 maturityDate = valuationDate.nextCDSDate(120) cds = FinCDS(valuationDate, maturityDate, cdsCoupon) cdsMarketContracts.append(cds) recoveryRate = 0.40 issuerCurve = FinCDSCurve(valuationDate, cdsMarketContracts, liborCurve, recoveryRate) return liborCurve, issuerCurve
def buildIborCurve(valuationDate): settlementDate = valuationDate.addDays(2) dcType = FinDayCountTypes.ACT_360 depos = [] fras = [] swaps = [] maturityDate = settlementDate.addMonths(1) depo1 = FinIborDeposit(settlementDate, maturityDate, -0.00251, dcType) depos.append(depo1) # Series of 1M futures startDate = settlementDate.nextIMMDate() endDate = startDate.addMonths(1) fra = FinIborFRA(startDate, endDate, -0.0023, dcType) fras.append(fra) startDate = startDate.addMonths(1) endDate = startDate.addMonths(1) fra = FinIborFRA(startDate, endDate, -0.00234, dcType) fras.append(fra) startDate = startDate.addMonths(1) endDate = startDate.addMonths(1) fra = FinIborFRA(startDate, endDate, -0.00225, dcType) fras.append(fra) startDate = startDate.addMonths(1) endDate = startDate.addMonths(1) fra = FinIborFRA(startDate, endDate, -0.00226, dcType) fras.append(fra) startDate = startDate.addMonths(1) endDate = startDate.addMonths(1) fra = FinIborFRA(startDate, endDate, -0.00219, dcType) fras.append(fra) startDate = startDate.addMonths(1) endDate = startDate.addMonths(1) fra = FinIborFRA(startDate, endDate, -0.00213, dcType) fras.append(fra) startDate = startDate.addMonths(1) endDate = startDate.addMonths(1) fra = FinIborFRA(startDate, endDate, -0.00186, dcType) fras.append(fra) startDate = startDate.addMonths(1) endDate = startDate.addMonths(1) fra = FinIborFRA(startDate, endDate, -0.00189, dcType) fras.append(fra) startDate = startDate.addMonths(1) endDate = startDate.addMonths(1) fra = FinIborFRA(startDate, endDate, -0.00175, dcType) fras.append(fra) startDate = startDate.addMonths(1) endDate = startDate.addMonths(1) fra = FinIborFRA(startDate, endDate, -0.00143, dcType) fras.append(fra) startDate = startDate.addMonths(1) endDate = startDate.addMonths(1) fra = FinIborFRA(startDate, endDate, -0.00126, dcType) fras.append(fra) startDate = startDate.addMonths(1) endDate = startDate.addMonths(1) fra = FinIborFRA(startDate, endDate, -0.00126, dcType) fras.append(fra) ########################################################################### ########################################################################### ########################################################################### ########################################################################### fixedFreq = FinFrequencyTypes.ANNUAL dcType = FinDayCountTypes.THIRTY_E_360 swapType = FinSwapTypes.PAYER ##################################################### maturityDate = settlementDate.addMonths(24) swap1 = FinIborSwap(settlementDate, maturityDate, swapType, -0.001506, fixedFreq, dcType) swaps.append(swap1) ##################################################### maturityDate = settlementDate.addMonths(36) swap2 = FinIborSwap(settlementDate, maturityDate, swapType, -0.000185, fixedFreq, dcType) swaps.append(swap2) ##################################################### maturityDate = settlementDate.addMonths(48) swap3 = FinIborSwap(settlementDate, maturityDate, swapType, 0.001358, fixedFreq, dcType) swaps.append(swap3) ##################################################### maturityDate = settlementDate.addMonths(60) swap4 = FinIborSwap(settlementDate, maturityDate, swapType, 0.0027652, fixedFreq, dcType) swaps.append(swap4) maturityDate = settlementDate.addMonths(72) swap5 = FinIborSwap(settlementDate, maturityDate, swapType, 0.0041539, fixedFreq, dcType) swaps.append(swap5) maturityDate = settlementDate.addMonths(84) swap6 = FinIborSwap(settlementDate, maturityDate, swapType, 0.0054604, fixedFreq, dcType) swaps.append(swap6) maturityDate = settlementDate.addMonths(96) swap7 = FinIborSwap(settlementDate, maturityDate, swapType, 0.006674, fixedFreq, dcType) swaps.append(swap7) maturityDate = settlementDate.addMonths(108) swap8 = FinIborSwap(settlementDate, maturityDate, swapType, 0.007826, fixedFreq, dcType) swaps.append(swap8) maturityDate = settlementDate.addMonths(120) swap9 = FinIborSwap(settlementDate, maturityDate, swapType, 0.008821, fixedFreq, dcType) swaps.append(swap9) maturityDate = settlementDate.addMonths(132) swap10 = FinIborSwap(settlementDate, maturityDate, swapType, 0.0097379, fixedFreq, dcType) swaps.append(swap10) maturityDate = settlementDate.addMonths(144) swap11 = FinIborSwap(settlementDate, maturityDate, swapType, 0.0105406, fixedFreq, dcType) swaps.append(swap11) maturityDate = settlementDate.addMonths(180) swap12 = FinIborSwap(settlementDate, maturityDate, swapType, 0.0123927, fixedFreq, dcType) swaps.append(swap12) maturityDate = settlementDate.addMonths(240) swap13 = FinIborSwap(settlementDate, maturityDate, swapType, 0.0139882, fixedFreq, dcType) swaps.append(swap13) maturityDate = settlementDate.addMonths(300) swap14 = FinIborSwap(settlementDate, maturityDate, swapType, 0.0144972, fixedFreq, dcType) swaps.append(swap14) maturityDate = settlementDate.addMonths(360) swap15 = FinIborSwap(settlementDate, maturityDate, swapType, 0.0146081, fixedFreq, dcType) swaps.append(swap15) maturityDate = settlementDate.addMonths(420) swap16 = FinIborSwap(settlementDate, maturityDate, swapType, 0.01461897, fixedFreq, dcType) swaps.append(swap16) maturityDate = settlementDate.addMonths(480) swap17 = FinIborSwap(settlementDate, maturityDate, swapType, 0.014567455, fixedFreq, dcType) swaps.append(swap17) maturityDate = settlementDate.addMonths(540) swap18 = FinIborSwap(settlementDate, maturityDate, swapType, 0.0140826, fixedFreq, dcType) swaps.append(swap18) maturityDate = settlementDate.addMonths(600) swap19 = FinIborSwap(settlementDate, maturityDate, swapType, 0.01436822, fixedFreq, dcType) swaps.append(swap19) liborCurve = FinIborCurve(settlementDate, depos, fras, swaps) testCases.header("LABEL", "DATE", "VALUE") ''' Check calibration ''' for depo in depos: v = depo.value(settlementDate, liborCurve) testCases.print("DEPO VALUE:", depo._maturityDate, v) for fra in fras: v = fra.value(settlementDate, liborCurve) testCases.print("FRA VALUE:", fra._maturityDate, v) for swap in swaps: v = swap.value(settlementDate, liborCurve, liborCurve, None) testCases.print("SWAP VALUE:", swap._maturityDate, v) return liborCurve
def testFinIborCashSettledSwaption(): testCases.header("LABEL", "VALUE") valuationDate = FinDate(1, 1, 2020) settlementDate = FinDate(1, 1, 2020) depoDCCType = FinDayCountTypes.THIRTY_E_360_ISDA depos = [] depo = FinIborDeposit(settlementDate, "1W", 0.0023, depoDCCType) depos.append(depo) depo = FinIborDeposit(settlementDate, "1M", 0.0023, depoDCCType) depos.append(depo) depo = FinIborDeposit(settlementDate, "3M", 0.0023, depoDCCType) depos.append(depo) depo = FinIborDeposit(settlementDate, "6M", 0.0023, depoDCCType) depos.append(depo) # No convexity correction provided so I omit interest rate futures settlementDate = FinDate(2, 1, 2020) swaps = [] accType = FinDayCountTypes.ACT_365F fixedFreqType = FinFrequencyTypes.SEMI_ANNUAL fixedLegType = FinSwapTypes.PAY swap = FinIborSwap(settlementDate, "3Y", fixedLegType, 0.00790, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "4Y", fixedLegType, 0.01200, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "5Y", fixedLegType, 0.01570, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "6Y", fixedLegType, 0.01865, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "7Y", fixedLegType, 0.02160, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "8Y", fixedLegType, 0.02350, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "9Y", fixedLegType, 0.02540, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "10Y", fixedLegType, 0.0273, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "15Y", fixedLegType, 0.0297, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "20Y", fixedLegType, 0.0316, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "25Y", fixedLegType, 0.0335, fixedFreqType, accType) swaps.append(swap) swap = FinIborSwap(settlementDate, "30Y", fixedLegType, 0.0354, fixedFreqType, accType) swaps.append(swap) liborCurve = FinIborSingleCurve(valuationDate, depos, [], swaps, FinInterpTypes.LINEAR_ZERO_RATES) exerciseDate = settlementDate.addTenor("5Y") swapMaturityDate = exerciseDate.addTenor("5Y") swapFixedCoupon = 0.040852 swapFixedFrequencyType = FinFrequencyTypes.SEMI_ANNUAL swapFixedDayCountType = FinDayCountTypes.THIRTY_E_360_ISDA swapFloatFrequencyType = FinFrequencyTypes.QUARTERLY swapFloatDayCountType = FinDayCountTypes.ACT_360 swapNotional = 1000000 fixedLegType = FinSwapTypes.PAY swaption = FinIborSwaption(settlementDate, exerciseDate, swapMaturityDate, fixedLegType, swapFixedCoupon, swapFixedFrequencyType, swapFixedDayCountType, swapNotional, swapFloatFrequencyType, swapFloatDayCountType) model = FinModelBlack(0.1533) v = swaption.value(settlementDate, liborCurve, model) testCases.print("Swaption No-Arb Value:", v) fwdSwapRate1 = liborCurve.swapRate(exerciseDate, swapMaturityDate, swapFixedFrequencyType, swapFixedDayCountType) testCases.print("Curve Fwd Swap Rate:", fwdSwapRate1) fwdSwap = FinIborSwap(exerciseDate, swapMaturityDate, fixedLegType, swapFixedCoupon, swapFixedFrequencyType, swapFixedDayCountType) fwdSwapRate2 = fwdSwap.swapRate(settlementDate, liborCurve) testCases.print("Fwd Swap Swap Rate:", fwdSwapRate2) model = FinModelBlack(0.1533) v = swaption.cashSettledValue(valuationDate, liborCurve, fwdSwapRate2, model) testCases.print("Swaption Cash Settled Value:", v)