def test_FinIborFuture(): todayDate = Date(5, 5, 2020) testCases.header("VALUES") for i in range(1, 12): fut = IborFuture(todayDate, i, "3M") testCases.print(fut) fra = fut.to_fra(0.020, 0.0) testCases.print(fra)
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 """ valuation_date = Date(6, 6, 2018) # We do the O/N rate which settles on trade date spot_days = 0 settleDt = valuation_date.add_weekdays(spot_days) accrual = DayCountTypes.THIRTY_E_360 depo = IborDeposit(settleDt, "1D", 1.712 / 100.0, accrual) depos = [depo] futs = [] fut = IborFuture(valuation_date, 1) futs.append(fut) fut = IborFuture(valuation_date, 2) futs.append(fut) fut = IborFuture(valuation_date, 3) futs.append(fut) fut = IborFuture(valuation_date, 4) futs.append(fut) fut = IborFuture(valuation_date, 5) futs.append(fut) fut = IborFuture(valuation_date, 6) futs.append(fut) fras = [None] * 6 fras[0] = futs[0].to_fra(97.6675, -0.00005) fras[1] = futs[1].to_fra(97.5200, -0.00060) fras[2] = futs[2].to_fra(97.3550, -0.00146) fras[3] = futs[3].to_fra(97.2450, -0.00263) fras[4] = futs[4].to_fra(97.1450, -0.00411) fras[5] = futs[5].to_fra(97.0750, -0.00589) accrual = DayCountTypes.THIRTY_E_360 freq = FrequencyTypes.SEMI_ANNUAL spot_days = 2 settleDt = valuation_date.add_weekdays(spot_days) payRec = SwapTypes.PAY lag = 1 # Not used swaps = [] swap = OIS(settleDt, "2Y", payRec, (2.77417 + 2.77844) / 200, freq, accrual) swaps.append(swap) swap = OIS(settleDt, "3Y", payRec, (2.86098 + 2.86582) / 200, freq, accrual) swaps.append(swap) swap = OIS(settleDt, "4Y", payRec, (2.90240 + 2.90620) / 200, freq, accrual) swaps.append(swap) swap = OIS(settleDt, "5Y", payRec, (2.92944 + 2.92906) / 200, freq, accrual) swaps.append(swap) swap = OIS(settleDt, "6Y", payRec, (2.94001 + 2.94499) / 200, freq, accrual) swaps.append(swap) swap = OIS(settleDt, "7Y", payRec, (2.95352 + 2.95998) / 200, freq, accrual) swaps.append(swap) swap = OIS(settleDt, "8Y", payRec, (2.96830 + 2.97400) / 200, freq, accrual) swaps.append(swap) swap = OIS(settleDt, "9Y", payRec, (2.98403 + 2.98817) / 200, freq, accrual) swaps.append(swap) swap = OIS(settleDt, "10Y", payRec, (2.99716 + 3.00394) / 200, freq, accrual) swaps.append(swap) swap = OIS(settleDt, "11Y", payRec, (3.01344 + 3.01596) / 200, freq, accrual) swaps.append(swap) swap = OIS(settleDt, "12Y", payRec, (3.02276 + 3.02684) / 200, freq, accrual) swaps.append(swap) swap = OIS(settleDt, "15Y", payRec, (3.04092 + 3.04508) / 200, freq, accrual) swaps.append(swap) swap = OIS(settleDt, "20Y", payRec, (3.04417 + 3.05183) / 200, freq, accrual) swaps.append(swap) swap = OIS(settleDt, "25Y", payRec, (3.03219 + 3.03621) / 200, freq, accrual) swaps.append(swap) swap = OIS(settleDt, "30Y", payRec, (3.01030 + 3.01370) / 200, freq, accrual) swaps.append(swap) swap = OIS(settleDt, "40Y", payRec, (2.96946 + 2.97354) / 200, freq, accrual) swaps.append(swap) swap = OIS(settleDt, "50Y", payRec, (2.91552 + 2.93748) / 200, freq, accrual) swaps.append(swap) oisCurve = OISCurve(valuation_date, depos, fras, swaps) # swaps[0]._fixed_leg.print_valuation() # swaps[0]._floatLeg.print_valuation() # 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(valuation_date, oisCurve, None)) testCases.print("FIXED:", -swaps[0]._fixed_leg.value(valuation_date, oisCurve)) testCases.print("FLOAT:", swaps[0]._floatLeg.value(valuation_date, oisCurve, None)) testCases.header("VALUATION TO SWAP SETTLEMENT DATE", " PV") testCases.print("VALUE:", swaps[0].value(settleDt, oisCurve, None)) testCases.print("FIXED:", -swaps[0]._fixed_leg.value(settleDt, oisCurve)) testCases.print("FLOAT:", swaps[0]._floatLeg.value(settleDt, oisCurve, None))
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 """ valuation_date = Date(6, 6, 2018) # We do the O/N rate which settles on trade date spot_days = 0 settlement_date = valuation_date.add_weekdays(spot_days) depoDCCType = DayCountTypes.ACT_360 depos = [] deposit_rate = 0.0231381 maturity_date = settlement_date.add_months(3) depo = IborDeposit(settlement_date, maturity_date, deposit_rate, depoDCCType) depos.append(depo) futs = [] fut = IborFuture(valuation_date, 1) futs.append(fut) fut = IborFuture(valuation_date, 2) futs.append(fut) fut = IborFuture(valuation_date, 3) futs.append(fut) fut = IborFuture(valuation_date, 4) futs.append(fut) fut = IborFuture(valuation_date, 5) futs.append(fut) fut = IborFuture(valuation_date, 6) futs.append(fut) fras = [None] * 6 fras[0] = futs[0].to_fra(97.6675, -0.00005) fras[1] = futs[1].to_fra(97.5200, -0.00060) fras[2] = futs[2].to_fra(97.3550, -0.00146) fras[3] = futs[3].to_fra(97.2450, -0.00263) fras[4] = futs[4].to_fra(97.1450, -0.00411) fras[5] = futs[5].to_fra(97.0750, -0.00589) accrual = DayCountTypes.THIRTY_E_360 freq = FrequencyTypes.SEMI_ANNUAL spot_days = 2 settlement_date = valuation_date.add_weekdays(spot_days) fixed_leg_type = SwapTypes.PAY interp_type = InterpTypes.FLAT_FWD_RATES swaps = [] swap = IborSwap(settlement_date, "2Y", fixed_leg_type, (2.77417 + 2.77844) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "3Y", fixed_leg_type, (2.86098 + 2.86582) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "4Y", fixed_leg_type, (2.90240 + 2.90620) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "5Y", fixed_leg_type, (2.92944 + 2.92906) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "6Y", fixed_leg_type, (2.94001 + 2.94499) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "7Y", fixed_leg_type, (2.95352 + 2.95998) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "8Y", fixed_leg_type, (2.96830 + 2.97400) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "9Y", fixed_leg_type, (2.98403 + 2.98817) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "10Y", fixed_leg_type, (2.99716 + 3.00394) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "11Y", fixed_leg_type, (3.01344 + 3.01596) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "12Y", fixed_leg_type, (3.02276 + 3.02684) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "15Y", fixed_leg_type, (3.04092 + 3.04508) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "20Y", fixed_leg_type, (3.04417 + 3.05183) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "25Y", fixed_leg_type, (3.03219 + 3.03621) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "30Y", fixed_leg_type, (3.01030 + 3.01370) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "40Y", fixed_leg_type, (2.96946 + 2.97354) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "50Y", fixed_leg_type, (2.91552 + 2.93748) / 200, freq, accrual) swaps.append(swap) libor_curve = IborSingleCurve(valuation_date, depos, fras, swaps, interp_type, True) assert round( swaps[0].value(valuation_date, libor_curve, libor_curve, None), 4) == 0.0 assert round(swaps[0]._fixed_leg.value(valuation_date, libor_curve), 4) == -53707.6667 assert round( swaps[0]._float_leg.value(valuation_date, libor_curve, libor_curve, None), 4) == 53707.6667 assert round( swaps[0].value(settlement_date, libor_curve, libor_curve, None), 4) == 0.0 assert round(swaps[0]._fixed_leg.value(settlement_date, libor_curve), 4) == -53714.5507 assert round( swaps[0]._float_leg.value(settlement_date, libor_curve, libor_curve, None), 4) == 53714.5507 oisCurve = buildOIS(valuation_date) liborDualCurve = IborDualCurve(valuation_date, oisCurve, depos, fras, swaps, InterpTypes.FLAT_FWD_RATES, True) assert round( swaps[0].value(valuation_date, oisCurve, liborDualCurve, None), 4) == 0.0 assert round(swaps[0]._fixed_leg.value(valuation_date, oisCurve), 4) == -55524.5642 assert round( swaps[0]._float_leg.value(valuation_date, oisCurve, liborDualCurve, None), 4) == 55524.5642 assert round( swaps[0].value(settlement_date, oisCurve, liborDualCurve, None), 4) == 0.0 assert round(swaps[0]._fixed_leg.value(settlement_date, oisCurve), 4) == -55524.5709 assert round( swaps[0]._float_leg.value(settlement_date, oisCurve, liborDualCurve, None), 4) == 55524.5709
def test_FinIborFuture(): todayDate = Date(5, 5, 2020) i = 1 fut = IborFuture(todayDate, i, "3M") fra = fut.to_fra(0.020, 0.0) assert fut._delivery_date == Date(17, 6, 2020) assert fra._start_date == Date(17, 6, 2020) i = 4 fut = IborFuture(todayDate, i, "3M") fra = fut.to_fra(0.020, 0.0) assert fut._delivery_date == Date(17, 3, 2021) assert fra._start_date == Date(17, 3, 2021) i = 7 fut = IborFuture(todayDate, i, "3M") fra = fut.to_fra(0.020, 0.0) assert fut._delivery_date == Date(15, 12, 2021) assert fra._start_date == Date(15, 12, 2021) i = 10 fut = IborFuture(todayDate, i, "3M") fra = fut.to_fra(0.020, 0.0) assert fut._delivery_date == Date(21, 9, 2022) assert fra._start_date == Date(21, 9, 2022)
def test_bloombergPricingExample(interp_type): """ 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 """ valuation_date = Date(6, 6, 2018) # We do the O/N rate which settles on trade date spot_days = 0 settlement_date = valuation_date.add_weekdays(spot_days) depoDCCType = DayCountTypes.ACT_360 depos = [] deposit_rate = 0.0231381 maturity_date = settlement_date.add_months(3) depo = IborDeposit(settlement_date, maturity_date, deposit_rate, depoDCCType) depos.append(depo) futs = [] fut = IborFuture(valuation_date, 1) futs.append(fut) fut = IborFuture(valuation_date, 2) futs.append(fut) fut = IborFuture(valuation_date, 3) futs.append(fut) fut = IborFuture(valuation_date, 4) futs.append(fut) fut = IborFuture(valuation_date, 5) futs.append(fut) fut = IborFuture(valuation_date, 6) futs.append(fut) fras = [None] * 6 fras[0] = futs[0].to_fra(97.6675, -0.00005) fras[1] = futs[1].to_fra(97.5200, -0.00060) fras[2] = futs[2].to_fra(97.3550, -0.00146) fras[3] = futs[3].to_fra(97.2450, -0.00263) fras[4] = futs[4].to_fra(97.1450, -0.00411) fras[5] = futs[5].to_fra(97.0750, -0.00589) accrual = DayCountTypes.THIRTY_E_360 freq = FrequencyTypes.SEMI_ANNUAL spot_days = 2 settlement_date = valuation_date.add_weekdays(spot_days) notional = ONE_MILLION fixed_leg_type = SwapTypes.PAY swaps = [] swap = IborSwapOLD(settlement_date, "2Y", fixed_leg_type, (2.77417 + 2.77844) / 200, freq, accrual) swaps.append(swap) swap = IborSwapOLD(settlement_date, "3Y", fixed_leg_type, (2.86098 + 2.86582) / 200, freq, accrual) swaps.append(swap) swap = IborSwapOLD(settlement_date, "4Y", fixed_leg_type, (2.90240 + 2.90620) / 200, freq, accrual) swaps.append(swap) swap = IborSwapOLD(settlement_date, "5Y", fixed_leg_type, (2.92944 + 2.92906) / 200, freq, accrual) swaps.append(swap) swap = IborSwapOLD(settlement_date, "6Y", fixed_leg_type, (2.94001 + 2.94499) / 200, freq, accrual) swaps.append(swap) swap = IborSwapOLD(settlement_date, "7Y", fixed_leg_type, (2.95352 + 2.95998) / 200, freq, accrual) swaps.append(swap) swap = IborSwapOLD(settlement_date, "8Y", fixed_leg_type, (2.96830 + 2.97400) / 200, freq, accrual) swaps.append(swap) swap = IborSwapOLD(settlement_date, "9Y", fixed_leg_type, (2.98403 + 2.98817) / 200, freq, accrual) swaps.append(swap) swap = IborSwapOLD(settlement_date, "10Y", fixed_leg_type, (2.99716 + 3.00394) / 200, freq, accrual) swaps.append(swap) swap = IborSwapOLD(settlement_date, "11Y", fixed_leg_type, (3.01344 + 3.01596) / 200, freq, accrual) swaps.append(swap) swap = IborSwapOLD(settlement_date, "12Y", fixed_leg_type, (3.02276 + 3.02684) / 200, freq, accrual) swaps.append(swap) swap = IborSwapOLD(settlement_date, "15Y", fixed_leg_type, (3.04092 + 3.04508) / 200, freq, accrual) swaps.append(swap) swap = IborSwapOLD(settlement_date, "20Y", fixed_leg_type, (3.04417 + 3.05183) / 200, freq, accrual) swaps.append(swap) swap = IborSwapOLD(settlement_date, "25Y", fixed_leg_type, (3.03219 + 3.03621) / 200, freq, accrual) swaps.append(swap) swap = IborSwapOLD(settlement_date, "30Y", fixed_leg_type, (3.01030 + 3.01370) / 200, freq, accrual) swaps.append(swap) swap = IborSwapOLD(settlement_date, "40Y", fixed_leg_type, (2.96946 + 2.97354) / 200, freq, accrual) swaps.append(swap) swap = IborSwapOLD(settlement_date, "50Y", fixed_leg_type, (2.91552 + 2.93748) / 200, freq, accrual) swaps.append(swap) libor_curve = FinIborSingleCurveOLD(valuation_date, depos, fras, swaps, interp_type) # 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(valuation_date, libor_curve, libor_curve, None)) testCases.print("FIXED:", swaps[0].fixed_leg_value(valuation_date, libor_curve)) testCases.print( "FLOAT:", swaps[0].float_leg_value(valuation_date, libor_curve, libor_curve, None)) testCases.header("VALUATION TO SWAP SETTLEMENT DATE", " PV") testCases.print( "VALUE:", swaps[0].value(settlement_date, libor_curve, libor_curve, None)) testCases.print("FIXED:", swaps[0].fixed_leg_value(settlement_date, libor_curve)) testCases.print( "FLOAT:", swaps[0].float_leg_value(settlement_date, libor_curve, libor_curve, None)) # swaps[0].print_fixed_leg_pv() # swaps[0].print_float_leg_pv() if 1 == 0: plt.figure() years = np.linspace(0, 50, 500) dates = settlement_date.add_years(years) fwds = libor_curve.fwd(dates) plt.plot(years, fwds, label="Fwd Rate") plt.title(interp_type) plt.xlabel("Years") plt.legend() years = np.linspace(0, 50, 500) dates = settlement_date.add_years(years) fwds = libor_curve.zero_rate(dates) plt.plot(years, fwds, label="Zero Rate") plt.title(interp_type) plt.xlabel("Years") plt.ylabel("Rate") plt.legend()
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 """ valuation_date = Date(6, 6, 2018) # We do the O/N rate which settles on trade date spot_days = 0 settlement_date = valuation_date.add_weekdays(spot_days) depoDCCType = DayCountTypes.ACT_360 depos = [] deposit_rate = 0.0231381 maturity_date = settlement_date.add_months(3) depo = IborDeposit(settlement_date, maturity_date, deposit_rate, depoDCCType) depos.append(depo) futs = [] fut = IborFuture(valuation_date, 1) futs.append(fut) fut = IborFuture(valuation_date, 2) futs.append(fut) fut = IborFuture(valuation_date, 3) futs.append(fut) fut = IborFuture(valuation_date, 4) futs.append(fut) fut = IborFuture(valuation_date, 5) futs.append(fut) fut = IborFuture(valuation_date, 6) futs.append(fut) fras = [None] * 6 fras[0] = futs[0].to_fra(97.6675, -0.00005) fras[1] = futs[1].to_fra(97.5200, -0.00060) fras[2] = futs[2].to_fra(97.3550, -0.00146) fras[3] = futs[3].to_fra(97.2450, -0.00263) fras[4] = futs[4].to_fra(97.1450, -0.00411) fras[5] = futs[5].to_fra(97.0750, -0.00589) accrual = DayCountTypes.THIRTY_E_360 freq = FrequencyTypes.SEMI_ANNUAL spot_days = 2 settlement_date = valuation_date.add_weekdays(spot_days) fixed_leg_type = SwapTypes.PAY interp_type = InterpTypes.FLAT_FWD_RATES swaps = [] swap = IborSwap(settlement_date, "2Y", fixed_leg_type, (2.77417 + 2.77844) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "3Y", fixed_leg_type, (2.86098 + 2.86582) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "4Y", fixed_leg_type, (2.90240 + 2.90620) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "5Y", fixed_leg_type, (2.92944 + 2.92906) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "6Y", fixed_leg_type, (2.94001 + 2.94499) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "7Y", fixed_leg_type, (2.95352 + 2.95998) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "8Y", fixed_leg_type, (2.96830 + 2.97400) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "9Y", fixed_leg_type, (2.98403 + 2.98817) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "10Y", fixed_leg_type, (2.99716 + 3.00394) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "11Y", fixed_leg_type, (3.01344 + 3.01596) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "12Y", fixed_leg_type, (3.02276 + 3.02684) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "15Y", fixed_leg_type, (3.04092 + 3.04508) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "20Y", fixed_leg_type, (3.04417 + 3.05183) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "25Y", fixed_leg_type, (3.03219 + 3.03621) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "30Y", fixed_leg_type, (3.01030 + 3.01370) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "40Y", fixed_leg_type, (2.96946 + 2.97354) / 200, freq, accrual) swaps.append(swap) swap = IborSwap(settlement_date, "50Y", fixed_leg_type, (2.91552 + 2.93748) / 200, freq, accrual) swaps.append(swap) libor_curve = IborSingleCurve(valuation_date, depos, fras, swaps, interp_type, True) testCases.banner("======================================================") testCases.banner("SINGLE CURVE VALUATION") testCases.header("LABEL", "VALUE") testCases.print( "VALUE:", swaps[0].value(valuation_date, libor_curve, libor_curve, None)) testCases.print("FIXED:", swaps[0]._fixed_leg.value(valuation_date, libor_curve)) testCases.print( "FLOAT:", swaps[0]._floatLeg.value(valuation_date, libor_curve, libor_curve, None)) testCases.banner("======================================================") testCases.banner("SINGLE CURVE VALUATION TO SWAP SETTLEMENT DATE") testCases.header("LABEL", "VALUE") testCases.print( "VALUE:", swaps[0].value(settlement_date, libor_curve, libor_curve, None)) testCases.print("FIXED:", swaps[0]._fixed_leg.value(settlement_date, libor_curve)) testCases.print( "FLOAT:", swaps[0]._floatLeg.value(settlement_date, libor_curve, libor_curve, None)) testCases.banner("======================================================") # swaps[0].print_fixed_leg_pv() # swaps[0].print_float_leg_pv() oisCurve = buildOIS(valuation_date) # print(oisCurve) liborDualCurve = IborDualCurve(valuation_date, oisCurve, depos, fras, swaps, InterpTypes.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(valuation_date, oisCurve, liborDualCurve, None)) testCases.print("FIXED:", swaps[0]._fixed_leg.value(valuation_date, oisCurve)) testCases.print( "FLOAT:", swaps[0]._floatLeg.value(valuation_date, oisCurve, libor_curve, None)) testCases.header("VALUATION TO SWAP SETTLEMENT DATE", " PV") testCases.print( "VALUE:", swaps[0].value(settlement_date, oisCurve, liborDualCurve, None)) testCases.print("FIXED:", swaps[0]._fixed_leg.value(settlement_date, oisCurve)) testCases.print( "FLOAT:", swaps[0]._floatLeg.value( settlement_date, oisCurve, liborDualCurve, None, )) # swaps[0].print_fixed_leg_pv() # swaps[0].print_float_leg_pv() PLOT = False if PLOT is True: years = np.linspace(0, 5, 21) dates = settlement_date.add_years(years) singleCurveFwds = libor_curve.fwd(dates) plt.plot(years, singleCurveFwds, label="Single Libor Curve") oisCurveFwds = oisCurve.fwd(dates) plt.plot(years, oisCurveFwds, label="OIS Curve") index_curveFwds = liborDualCurve.fwd(dates) plt.plot(years, index_curveFwds, label="Libor Index Curve") plt.legend()