static void Main(string[] args) { DateTime startTime = DateTime.Now; Date todaysDate = new Date(15, Month.February, 2002); Calendar calendar = new TARGET(); Date settlementDate = new Date(19, Month.February, 2002); Settings.instance().setEvaluationDate(todaysDate); // flat yield term structure impling 1x5 swap at 5% Quote flatRate = new SimpleQuote(0.04875825); FlatForward myTermStructure = new FlatForward( settlementDate, new QuoteHandle(flatRate), new Actual365Fixed()); RelinkableYieldTermStructureHandle rhTermStructure = new RelinkableYieldTermStructureHandle(); rhTermStructure.linkTo(myTermStructure); // Define the ATM/OTM/ITM swaps Period fixedLegTenor = new Period(1, TimeUnit.Years); BusinessDayConvention fixedLegConvention = BusinessDayConvention.Unadjusted; BusinessDayConvention floatingLegConvention = BusinessDayConvention.ModifiedFollowing; DayCounter fixedLegDayCounter = new Thirty360(Thirty360.Convention.European); Period floatingLegTenor = new Period(6, TimeUnit.Months); double dummyFixedRate = 0.03; IborIndex indexSixMonths = new Euribor6M(rhTermStructure); Date startDate = calendar.advance(settlementDate, 1, TimeUnit.Years, floatingLegConvention); Date maturity = calendar.advance(startDate, 5, TimeUnit.Years, floatingLegConvention); Schedule fixedSchedule = new Schedule(startDate, maturity, fixedLegTenor, calendar, fixedLegConvention, fixedLegConvention, DateGeneration.Rule.Forward, false); Schedule floatSchedule = new Schedule(startDate, maturity, floatingLegTenor, calendar, floatingLegConvention, floatingLegConvention, DateGeneration.Rule.Forward, false); VanillaSwap swap = new VanillaSwap( VanillaSwap.Type.Payer, 1000.0, fixedSchedule, dummyFixedRate, fixedLegDayCounter, floatSchedule, indexSixMonths, 0.0, indexSixMonths.dayCounter()); DiscountingSwapEngine swapEngine = new DiscountingSwapEngine(rhTermStructure); swap.setPricingEngine(swapEngine); double fixedATMRate = swap.fairRate(); double fixedOTMRate = fixedATMRate * 1.2; double fixedITMRate = fixedATMRate * 0.8; VanillaSwap atmSwap = new VanillaSwap( VanillaSwap.Type.Payer, 1000.0, fixedSchedule, fixedATMRate, fixedLegDayCounter, floatSchedule, indexSixMonths, 0.0, indexSixMonths.dayCounter()); VanillaSwap otmSwap = new VanillaSwap( VanillaSwap.Type.Payer, 1000.0, fixedSchedule, fixedOTMRate, fixedLegDayCounter, floatSchedule, indexSixMonths, 0.0, indexSixMonths.dayCounter()); VanillaSwap itmSwap = new VanillaSwap( VanillaSwap.Type.Payer, 1000.0, fixedSchedule, fixedITMRate, fixedLegDayCounter, floatSchedule, indexSixMonths, 0.0, indexSixMonths.dayCounter()); atmSwap.setPricingEngine(swapEngine); otmSwap.setPricingEngine(swapEngine); itmSwap.setPricingEngine(swapEngine); // defining the swaptions to be used in model calibration PeriodVector swaptionMaturities = new PeriodVector(); swaptionMaturities.Add(new Period(1, TimeUnit.Years)); swaptionMaturities.Add(new Period(2, TimeUnit.Years)); swaptionMaturities.Add(new Period(3, TimeUnit.Years)); swaptionMaturities.Add(new Period(4, TimeUnit.Years)); swaptionMaturities.Add(new Period(5, TimeUnit.Years)); CalibrationHelperVector swaptions = new CalibrationHelperVector(); // List of times that have to be included in the timegrid DoubleVector times = new DoubleVector(); for (int i = 0; i < numRows; i++) { int j = numCols - i - 1; // 1x5, 2x4, 3x3, 4x2, 5x1 int k = i * numCols + j; Quote vol = new SimpleQuote(swaptionVols[k]); SwaptionHelper helper = new SwaptionHelper( swaptionMaturities[i], new Period(swapLengths[j], TimeUnit.Years), new QuoteHandle(vol), indexSixMonths, indexSixMonths.tenor(), indexSixMonths.dayCounter(), indexSixMonths.dayCounter(), rhTermStructure); swaptions.Add(helper); times.AddRange(helper.times()); } // Building time-grid TimeGrid grid = new TimeGrid(times, 30); // defining the models // G2 modelG2 = new G2(rhTermStructure)); HullWhite modelHW = new HullWhite(rhTermStructure); HullWhite modelHW2 = new HullWhite(rhTermStructure); BlackKarasinski modelBK = new BlackKarasinski(rhTermStructure); // model calibrations // Console.WriteLine( "G2 (analytic formulae) calibration" ); // for (int i=0; i<swaptions.Count; i++) // NQuantLibc.as_black_helper(swaptions[i]).setPricingEngine( // new G2SwaptionEngine( modelG2, 6.0, 16 ) ); // // calibrateModel( modelG2, swaptions, 0.05); // Console.WriteLine( "calibrated to:" ); // Console.WriteLine( "a = " + modelG2.parameters()[0] ); // Console.WriteLine( "sigma = " + modelG2.parameters()[1] ); // Console.WriteLine( "b = " + modelG2.parameters()[2] ); // Console.WriteLine( "eta = " + modelG2.parameters()[3] ); // Console.WriteLine( "rho = " + modelG2.parameters()[4] ); Console.WriteLine("Hull-White (analytic formulae) calibration"); for (int i = 0; i < swaptions.Count; i++) { NQuantLibc.as_black_helper(swaptions[i]).setPricingEngine( new JamshidianSwaptionEngine(modelHW)); } calibrateModel(modelHW, swaptions, 0.05); // Console.WriteLine( "calibrated to:" ); // Console.WriteLine( "a = " + modelHW.parameters()[0] ); // Console.WriteLine( "sigma = " + modelHW.parameters()[1] ); Console.WriteLine("Hull-White (numerical) calibration"); for (int i = 0; i < swaptions.Count; i++) { NQuantLibc.as_black_helper(swaptions[i]).setPricingEngine( new TreeSwaptionEngine(modelHW2, grid)); } calibrateModel(modelHW2, swaptions, 0.05); // std::cout << "calibrated to:\n" // << "a = " << modelHW2->params()[0] << ", " // << "sigma = " << modelHW2->params()[1] // << std::endl << std::endl; Console.WriteLine("Black-Karasinski (numerical) calibration"); for (int i = 0; i < swaptions.Count; i++) { NQuantLibc.as_black_helper(swaptions[i]).setPricingEngine( new TreeSwaptionEngine(modelBK, grid)); } calibrateModel(modelBK, swaptions, 0.05); // std::cout << "calibrated to:\n" // << "a = " << modelBK->params()[0] << ", " // << "sigma = " << modelBK->params()[1] // << std::endl << std::endl; // ATM Bermudan swaption pricing Console.WriteLine("Payer bermudan swaption struck at {0} (ATM)", fixedATMRate); DateVector bermudanDates = new DateVector(); Schedule schedule = new Schedule(startDate, maturity, new Period(3, TimeUnit.Months), calendar, BusinessDayConvention.Following, BusinessDayConvention.Following, DateGeneration.Rule.Forward, false); for (uint i = 0; i < schedule.size(); i++) { bermudanDates.Add(schedule.date(i)); } Exercise bermudaExercise = new BermudanExercise(bermudanDates); Swaption bermudanSwaption = new Swaption(atmSwap, bermudaExercise); bermudanSwaption.setPricingEngine( new TreeSwaptionEngine(modelHW, 50)); Console.WriteLine("HW: " + bermudanSwaption.NPV()); bermudanSwaption.setPricingEngine( new TreeSwaptionEngine(modelHW2, 50)); Console.WriteLine("HW (num): " + bermudanSwaption.NPV()); bermudanSwaption.setPricingEngine( new TreeSwaptionEngine(modelBK, 50)); Console.WriteLine("BK (num): " + bermudanSwaption.NPV()); DateTime endTime = DateTime.Now; TimeSpan delta = endTime - startTime; Console.WriteLine(); Console.WriteLine("Run completed in {0} s", delta.TotalSeconds); Console.WriteLine(); }
private static void Main() { DateTime startTime = DateTime.Now; var todaysDate = new DateTime(2002, 2, 15); Settings.instance().setEvaluationDate(todaysDate); Calendar calendar = new TARGET(); var settlementDate = new Date(19, Month.February, 2002); // flat yield term structure impling 1x5 swap at 5% Quote flatRate = new SimpleQuote(0.04875825); var myTermStructure = new FlatForward(settlementDate, new QuoteHandle(flatRate), new Actual365Fixed()); var rhTermStructure = new RelinkableYieldTermStructureHandle(); rhTermStructure.linkTo(myTermStructure); // Define the ATM/OTM/ITM swaps var fixedLegTenor = new Period(1, TimeUnit.Years); const BusinessDayConvention fixedLegConvention = BusinessDayConvention.Unadjusted; const BusinessDayConvention floatingLegConvention = BusinessDayConvention.ModifiedFollowing; DayCounter fixedLegDayCounter = new Thirty360(Thirty360.Convention.European); var floatingLegTenor = new Period(6, TimeUnit.Months); const double dummyFixedRate = 0.03; IborIndex indexSixMonths = new Euribor6M(rhTermStructure); Date startDate = calendar.advance(settlementDate, 1, TimeUnit.Years, floatingLegConvention); Date maturity = calendar.advance(startDate, 5, TimeUnit.Years, floatingLegConvention); var fixedSchedule = new Schedule(startDate, maturity, fixedLegTenor, calendar, fixedLegConvention, fixedLegConvention, DateGeneration.Rule.Forward, false); var floatSchedule = new Schedule(startDate, maturity, floatingLegTenor, calendar, floatingLegConvention, floatingLegConvention, DateGeneration.Rule.Forward, false); var swap = new VanillaSwap(VanillaSwap.Type.Payer, 1000.0, fixedSchedule, dummyFixedRate, fixedLegDayCounter, floatSchedule, indexSixMonths, 0.0, indexSixMonths.dayCounter()); var swapEngine = new DiscountingSwapEngine(rhTermStructure); swap.setPricingEngine(swapEngine); double fixedAtmRate = swap.fairRate(); double fixedOtmRate = fixedAtmRate * 1.2; double fixedItmRate = fixedAtmRate * 0.8; var atmSwap = new VanillaSwap(VanillaSwap.Type.Payer, 1000.0, fixedSchedule, fixedAtmRate, fixedLegDayCounter, floatSchedule, indexSixMonths, 0.0, indexSixMonths.dayCounter()); var otmSwap = new VanillaSwap(VanillaSwap.Type.Payer, 1000.0, fixedSchedule, fixedOtmRate, fixedLegDayCounter, floatSchedule, indexSixMonths, 0.0, indexSixMonths.dayCounter()); var itmSwap = new VanillaSwap(VanillaSwap.Type.Payer, 1000.0, fixedSchedule, fixedItmRate, fixedLegDayCounter, floatSchedule, indexSixMonths, 0.0, indexSixMonths.dayCounter()); atmSwap.setPricingEngine(swapEngine); otmSwap.setPricingEngine(swapEngine); itmSwap.setPricingEngine(swapEngine); // defining the swaptions to be used in model calibration var swaptionMaturities = new PeriodVector { new Period(1, TimeUnit.Years), new Period(2, TimeUnit.Years), new Period(3, TimeUnit.Years), new Period(4, TimeUnit.Years), new Period(5, TimeUnit.Years) }; var swaptions = new CalibrationHelperVector(); // List of times that have to be included in the timegrid var times = new DoubleVector(); for (int i = 0; i < NUM_ROWS; i++) { int j = NUM_COLS - i - 1; // 1x5, 2x4, 3x3, 4x2, 5x1 int k = i * NUM_COLS + j; Quote vol = new SimpleQuote(SWAPTION_VOLS[k]); var helper = new SwaptionHelper(swaptionMaturities[i], new Period(SWAP_LENGHTS[j], TimeUnit.Years), new QuoteHandle(vol), indexSixMonths, indexSixMonths.tenor(), indexSixMonths.dayCounter(), indexSixMonths.dayCounter(), rhTermStructure); swaptions.Add(helper); times.AddRange(helper.times()); } // Building time-grid var grid = new TimeGrid(times, 30); // defining the models // G2 modelG2 = new G2(rhTermStructure)); var modelHw = new HullWhite(rhTermStructure); var modelHw2 = new HullWhite(rhTermStructure); var modelBk = new BlackKarasinski(rhTermStructure); // model calibrations Console.WriteLine("Hull-White (analytic formulae) calibration"); foreach (CalibrationHelper calibrationHelper in swaptions) { NQuantLibc.as_black_helper(calibrationHelper).setPricingEngine(new JamshidianSwaptionEngine(modelHw)); } CalibrateModel(modelHw, swaptions, 0.05); Console.WriteLine("Hull-White (numerical) calibration"); foreach (CalibrationHelper calibrationHelper in swaptions) { NQuantLibc.as_black_helper(calibrationHelper).setPricingEngine(new TreeSwaptionEngine(modelHw2, grid)); } CalibrateModel(modelHw2, swaptions, 0.05); Console.WriteLine("Black-Karasinski (numerical) calibration"); foreach (CalibrationHelper calibrationHelper in swaptions) { NQuantLibc.as_black_helper(calibrationHelper).setPricingEngine(new TreeSwaptionEngine(modelBk, grid)); } CalibrateModel(modelBk, swaptions, 0.05); // ATM Bermudan swaption pricing Console.WriteLine("Payer bermudan swaption struck at {0} (ATM)", fixedAtmRate); var bermudanDates = new DateVector(); var schedule = new Schedule(startDate, maturity, new Period(3, TimeUnit.Months), calendar, BusinessDayConvention.Following, BusinessDayConvention.Following, DateGeneration.Rule.Forward, false); for (uint i = 0; i < schedule.size(); i++) { bermudanDates.Add(schedule.date(i)); } Exercise bermudaExercise = new BermudanExercise(bermudanDates); var bermudanSwaption = new Swaption(atmSwap, bermudaExercise); bermudanSwaption.setPricingEngine(new TreeSwaptionEngine(modelHw, 50)); Console.WriteLine("HW: " + bermudanSwaption.NPV()); bermudanSwaption.setPricingEngine(new TreeSwaptionEngine(modelHw2, 50)); Console.WriteLine("HW (num): " + bermudanSwaption.NPV()); bermudanSwaption.setPricingEngine(new TreeSwaptionEngine(modelBk, 50)); Console.WriteLine("BK (num): " + bermudanSwaption.NPV()); DateTime endTime = DateTime.Now; TimeSpan delta = endTime - startTime; Console.WriteLine(); Console.WriteLine("Run completed in {0} s", delta.TotalSeconds); Console.WriteLine(); }