// Swap net present value object IRate.SwapNPV(string idCode, double Rate, string SwapTenor, bool PayOrRec, double Nominal) { // Get Fwd Start Swap according to underlying rate floating tenor used in building carve (es 3m or 6m,..) if (m_xlApp != null) { m_xlApp.Volatile(true); } try { IMultiRateCurve MultiCurve = null; // initialise a multi curve if (MCDictionary.TryGetValue(idCode, out MultiCurve)) // is the idCode in dictionary? { VanillaSwap swap = new VanillaSwap(MultiCurve, Rate, SwapTenor, PayOrRec, Nominal); return(swap.NPV()); } else { return("Curve not found"); // curve not found } } catch (Exception e) { return((string)e.ToString()); } }
// calculate basis swap spread object IRate.FwdBasis(double SwapStartDate, string SwapTenor, string Curve1, string Curve2) { // Get Fwd Start Swap according to underlying rate floating tenor used in building carve (es 3m or 6m,..) if (m_xlApp != null) { m_xlApp.Volatile(true); } try { IMultiRateCurve MCurve1 = null; // initialise a multi curve IMultiRateCurve MCurve2 = null; // initialise a multi curve if (MCDictionary.TryGetValue(Curve1, out MCurve1) && MCDictionary.TryGetValue(Curve2, out MCurve2)) // is the idCode in dictionary? { return((double)Formula.FwdBasis(new Date(SwapStartDate), SwapTenor, MCurve1, MCurve2)); } else { return("Curve not found"); // curve not found } } catch (Exception e) { return((string)e.ToString()); } }
// calculate basis swap spread for 6M vs 3M basis swap object IRate.FwdBasis6M3M(double SwapStartDate, string SwapTenor, string Curve6M, string Curve3M) { // Get Fwd Start Swap according to underlying rate floating tenor used in building carve (es 3m or 6m,..) if (m_xlApp != null) { m_xlApp.Volatile(true); } try { IMultiRateCurve MultiCurve6m = null; // initialise a multi curve IMultiRateCurve MultiCurve3m = null; // initialise a multi curve if (MCDictionary.TryGetValue(Curve6M, out MultiCurve6m) && MCDictionary.TryGetValue(Curve3M, out MultiCurve3m)) // is the idCode in dictionary? { if (MultiCurve6m.GetSwapStyle().GetType() == typeof(EurSwapVs6m) && MultiCurve3m.GetSwapStyle().GetType() == typeof(EurSwapVs3m)) { return((double)Formula.FwdBasis(new Date(SwapStartDate), SwapTenor, MultiCurve6m, MultiCurve3m)); } else { return("Curve error"); } } else { return("Curve not found"); // curve not found } } catch (Exception e) { return((string)e.ToString()); } }
// At the money forward swap using string args object IRate.FwdSwapX(string idCode, string StartTenor, string SwapTenor) { // make it volatile if (m_xlApp != null) { m_xlApp.Volatile(true); } try { IMultiRateCurve MultiCurve = null; // initialise a multi curve if (MCDictionary.TryGetValue(idCode, out MultiCurve)) // is the idCode in dictionary? { Date StartDate = MultiCurve.RefDate().add_period(StartTenor, true); return(MultiCurve.SwapFwd(new Date(StartDate), SwapTenor)); } else { return("IdCode not found"); // curve not found } } catch (Exception e) { return((string)e.ToString()); } }
public VanillaSwap(IMultiRateCurve MultiCurve, double Rate, string SwapTenor, bool PayOrRec, double Nominal) { // Standard swap Type SwapType = MultiCurve.GetSwapStyle().GetType(); Date myRefDate = MultiCurve.RefDate(); // using reflection this.mySwap = (SwapStyle)Activator.CreateInstance(SwapType, myRefDate, Rate, SwapTenor); this.payOrRec = PayOrRec; this.multiCurve = MultiCurve; this.nominal = Nominal; }
// return array of curves, initialised after shifting mktRateSet elements of forwarding curve public IMultiRateCurve[] ShiftedCurvesArrayFwdCurveSeq(double shift) { // i-curve is built using its setup (interpolator,..), but shifting i-element of mktRateSet // up of 'shift' quantity RateSet[] rsArr = mktRateSet.ShiftedRateSetArray(shift); // array of shifted RateSet (my scenario) int n = rsArr.Length; // number of elements IMultiRateCurve[] curves = new IMultiRateCurve[n]; // array of curves for (int i = 0; i < n; i++) { // iterate to build all curve needed curves[i] = CreateInstance(rsArr[i], DCurve); // build the correct curve } return(curves); }
// return array of curves, initialised after shifting mktRateSet elements of discounting curve public IMultiRateCurve[] ShiftedCurvesArrayDCurveSeq(double shift) { // i-discount curve is built using its setup (interpolator,..), but shifting i-element of mktRateSet of discounting curve // up of 'shift' quantity ISingleRateCurve[] dC = DCurve.ShiftedCurveArray(shift); int n = dC.Length; IMultiRateCurve[] outPut = new IMultiRateCurve[n]; for (int i = 0; i < n; i++) { outPut[i] = CreateInstance(mktRateSet, dC[i]); } return(outPut); // array of curves }
// Risk of a vanilla swap with respect discounting and forwarding curves (it works only for multi-curve) object IRate.SwapRisk(string idCode, double Rate, string SwapTenor, bool PayOrRec, double Nominal, double shift, int caseSwitch) { // Get Fwd Start Swap according to underlying rate floating tenor used in building carve (es 3m or 6m,..) if (m_xlApp != null) { m_xlApp.Volatile(true); } try { IMultiRateCurve MultiCurve = null; // initialise a multi curve if (MCDictionary.TryGetValue(idCode, out MultiCurve)) // is the idCode in dictionary? { object OutPut = null; VanillaSwap swap = new VanillaSwap(MultiCurve, Rate, SwapTenor, PayOrRec, Nominal); switch (caseSwitch) { case 1: OutPut = (double[])swap.BPVShiftedDCurve(shift); break; case 2: OutPut = (double)swap.BPVParallelShiftDCurve(shift); break; case 3: OutPut = (double[])swap.BPVShiftedFwdCurve(shift); break; case 4: OutPut = (double)swap.BPVParallelShiftFwdCurve(shift); break; default: return(0); // break; } return(OutPut); } else { return("Curve not found"); // curve not found } } catch (Exception e) { return((string)e.ToString()); } }
// Discount factor object IRate.Df(string idCode, double DfDate) { // make it volatile if (m_xlApp != null) { m_xlApp.Volatile(true); } try { IMultiRateCurve MultiCurve = null; // initialise a multi curve if (MCDictionary.TryGetValue(idCode, out MultiCurve)) // is the idCode in dictionary? { return(MultiCurve.Df(new Date(DfDate))); } else { return("IdCode not found"); // curve not found } } catch (Exception e) { return((string)e.ToString()); } }
// return one only curve, initialised after shifting all mktRateSet elements, of discounting curve, up of 'shift' quantity, once at the same time public double BPVParallelShiftDCurve(double shift) { IMultiRateCurve sCurve = multiCurve.ParallelShiftDCurve(shift); return(Formula.NPV(mySwap, sCurve, payOrRec) * nominal - this.NPV()); }
// sensitivities/DVO1. ATM swap has no sensitivities with respect to the discount curve public static void SensitivitiesParallel() { #region Inputs // Start input // Start input, reference date. Date refDate = (new Date(DateTime.Now)).mod_foll(); #region Eonia market data // I populate market rates set: from file, from real time, ... RateSet mktRates = new RateSet(refDate); mktRates.Add(0.447e-2, "1w", BuildingBlockType.EONIASWAP); mktRates.Add(0.583e-2, "2w", BuildingBlockType.EONIASWAP); mktRates.Add(0.627e-2, "3w", BuildingBlockType.EONIASWAP); mktRates.Add(0.635e-2, "1m", BuildingBlockType.EONIASWAP); mktRates.Add(0.675e-2, "2m", BuildingBlockType.EONIASWAP); mktRates.Add(0.705e-2, "3m", BuildingBlockType.EONIASWAP); mktRates.Add(0.734e-2, "4m", BuildingBlockType.EONIASWAP); mktRates.Add(0.758e-2, "5m", BuildingBlockType.EONIASWAP); mktRates.Add(0.780e-2, "6m", BuildingBlockType.EONIASWAP); mktRates.Add(0.798e-2, "7m", BuildingBlockType.EONIASWAP); mktRates.Add(0.816e-2, "8m", BuildingBlockType.EONIASWAP); mktRates.Add(0.834e-2, "9m", BuildingBlockType.EONIASWAP); mktRates.Add(0.849e-2, "10m", BuildingBlockType.EONIASWAP); mktRates.Add(0.864e-2, "11m", BuildingBlockType.EONIASWAP); mktRates.Add(0.878e-2, "1Y", BuildingBlockType.EONIASWAP); mktRates.Add(1.098e-2, "2Y", BuildingBlockType.EONIASWAP); mktRates.Add(1.36e-2, "3Y", BuildingBlockType.EONIASWAP); mktRates.Add(1.639e-2, "4Y", BuildingBlockType.EONIASWAP); mktRates.Add(1.9e-2, "5Y", BuildingBlockType.EONIASWAP); mktRates.Add(2.122e-2, "6Y", BuildingBlockType.EONIASWAP); mktRates.Add(2.308e-2, "7Y", BuildingBlockType.EONIASWAP); mktRates.Add(2.467e-2, "8Y", BuildingBlockType.EONIASWAP); mktRates.Add(2.599e-2, "9Y", BuildingBlockType.EONIASWAP); mktRates.Add(2.715e-2, "10Y", BuildingBlockType.EONIASWAP); mktRates.Add(2.818e-2, "11Y", BuildingBlockType.EONIASWAP); mktRates.Add(2.908e-2, "12Y", BuildingBlockType.EONIASWAP); // From here interpolation is need mktRates.Add(3.093e-2, "15Y", BuildingBlockType.EONIASWAP); mktRates.Add(3.173e-2, "20Y", BuildingBlockType.EONIASWAP); mktRates.Add(3.114e-2, "25Y", BuildingBlockType.EONIASWAP); mktRates.Add(3.001e-2, "30Y", BuildingBlockType.EONIASWAP); #endregion #region Swap Market Data // RateSet EUR 6m swap RateSet rs = new RateSet(refDate); rs.Add(1.16e-2, "6m", BuildingBlockType.EURDEPO); rs.Add(1.42e-2, "1y", BuildingBlockType.EURSWAP6M); rs.Add(1.635e-2, "2y", BuildingBlockType.EURSWAP6M); rs.Add(1.872e-2, "3y", BuildingBlockType.EURSWAP6M); rs.Add(2.131e-2, "4y", BuildingBlockType.EURSWAP6M); rs.Add(2.372e-2, "5y", BuildingBlockType.EURSWAP6M); rs.Add(2.574e-2, "6y", BuildingBlockType.EURSWAP6M); rs.Add(2.743e-2, "7y", BuildingBlockType.EURSWAP6M); rs.Add(2.886e-2, "8y", BuildingBlockType.EURSWAP6M); rs.Add(3.004e-2, "9y", BuildingBlockType.EURSWAP6M); rs.Add(3.107e-2, "10y", BuildingBlockType.EURSWAP6M); rs.Add(3.198e-2, "11y", BuildingBlockType.EURSWAP6M); rs.Add(3.278e-2, "12y", BuildingBlockType.EURSWAP6M); rs.Add(3.344e-2, "13y", BuildingBlockType.EURSWAP6M); rs.Add(3.398e-2, "14y", BuildingBlockType.EURSWAP6M); rs.Add(3.438e-2, "15y", BuildingBlockType.EURSWAP6M); rs.Add(3.467e-2, "16y", BuildingBlockType.EURSWAP6M); rs.Add(3.484e-2, "17y", BuildingBlockType.EURSWAP6M); rs.Add(3.494e-2, "18y", BuildingBlockType.EURSWAP6M); rs.Add(3.495e-2, "19y", BuildingBlockType.EURSWAP6M); rs.Add(3.491e-2, "20y", BuildingBlockType.EURSWAP6M); rs.Add(3.483e-2, "21y", BuildingBlockType.EURSWAP6M); rs.Add(3.471e-2, "22y", BuildingBlockType.EURSWAP6M); rs.Add(3.455e-2, "23y", BuildingBlockType.EURSWAP6M); rs.Add(3.436e-2, "24y", BuildingBlockType.EURSWAP6M); rs.Add(3.415e-2, "25y", BuildingBlockType.EURSWAP6M); rs.Add(3.391e-2, "26y", BuildingBlockType.EURSWAP6M); rs.Add(3.366e-2, "27y", BuildingBlockType.EURSWAP6M); rs.Add(3.340e-2, "28y", BuildingBlockType.EURSWAP6M); rs.Add(3.314e-2, "29y", BuildingBlockType.EURSWAP6M); rs.Add(3.29e-2, "30y", BuildingBlockType.EURSWAP6M); #endregion #endregion end Inputs #region building curve string swapTenor = "11y"; // you can change it // I build my multi curve, SingleCurveBuilderStandard <OnLogDf, SimpleCubicInterpolator> DCurve = new SingleCurveBuilderStandard <OnLogDf, SimpleCubicInterpolator>(mktRates, OneDimensionInterpolation.LogLinear); // discount curve MultiCurveBuilder <SimpleCubicInterpolator> C = new MultiCurveBuilder <SimpleCubicInterpolator>(rs, DCurve); // multi curve #endregion end building curve #region myFunction // my function to calculate Net Present Value of a Vanilla Swap (receiver swap) Func <SwapStyle, IRateCurve, double> NPV = (BB, c) => { #region FixLeg // fixed leg data double[] yfFixLeg = BB.scheduleLeg1.GetYFVect(BB.swapLeg1.DayCount); // fixed is leg 1 // dfs array of fixed lag Date[] dfDates = BB.scheduleLeg1.payDates; // serial date of fixed lag (each dates we should find df) // # of fixed cash flows int n_fix = dfDates.Length; double NPV_fix = 0.0; // calculate df for (int i = 0; i < n_fix; i++) { NPV_fix += c.Df(dfDates[i]) * yfFixLeg[i] * BB.rateValue; // df*yf } // NPV_fix *= BB.rateValue; #endregion #region FloatLeg // fixed leg data double[] yfFloatLeg = BB.scheduleLeg2.GetYFVect(BB.swapLeg2.DayCount); // float is leg 2 // dfs array of fixed lag Date[] dfDatesFloat = BB.scheduleLeg2.payDates; // serial date of float lag (each dates we should find df) Date[] FromDateFloat = BB.scheduleLeg2.fromDates; // # of fixed cash flows int n_float = dfDatesFloat.Length; double[] fwd = new double[n_float]; // fwd rate container // getting fwd rates for (int i = 0; i < n_float; i++) { fwd[i] = c.Fwd(FromDateFloat[i]); } double NPV_float = 0.0; // calculate df for (int i = 0; i < n_float; i++) { NPV_float += c.Df(dfDatesFloat[i]) * yfFloatLeg[i] * fwd[i]; // df*yf } #endregion return(NPV_fix - NPV_float); // NPV }; #endregion #region Print results double atmSwap = C.SwapFwd(refDate, swapTenor); // At The Money swap (i.e. par rate) List <double> swapRateList = new List <double>(); // lists of swap to analyze swapRateList.Add(atmSwap); // it is ATM swapRateList.Add(atmSwap + 0.01); // it has positive mark to market (MtM). It is a receiver swap with a contract rate > than Atm) swapRateList.Add(atmSwap - 0.01); // it has negative MtM // iterate for each swap: // see how change the sign of sensitivities for discount curve and for forwarding curve changing contract rates Console.WriteLine("Executing parallel loop..."); Stopwatch stopwatch = new Stopwatch(); stopwatch.Start(); Parallel.ForEach(swapRateList, swapRate => { Console.WriteLine("Pricing Receiver Swap {0}, Atm Rate: {1:f6}, Contract Rate: {2:f6}", swapTenor, atmSwap, swapRate); IRateCurve[] cs = C.ShiftedCurvesArrayFwdCurve(0.0001); IRateCurve csp = C.ParallelShiftFwdCurve(0.0001); // initialise some variable used in sensitivities double sens = 0.0; double runSum = 0.0; // Standard swap SwapStyle y = (SwapStyle) new BuildingBlockFactory().CreateBuildingBlock(refDate, swapRate, swapTenor, BuildingBlockType.EURSWAP6M); double iniMTM = NPV(y, C) * 100000000; // initial mark to market for 100ml receiver contract Console.WriteLine("Starting Mark To Market {0:f}", iniMTM); Console.WriteLine("Sensitivities to Curve used for forward rate: "); int nOfRate = rs.Count; // iterate for market input for forwarding curve for (int i = 0; i < nOfRate; i++) { sens = NPV(y, cs[i]) * 100000000 - iniMTM; Console.WriteLine("{0} BPV: {1:f}", rs.Item(i).M.GetPeriodStringFormat(), sens); runSum += sens; } Console.WriteLine("Total: {0:f}", runSum); Console.WriteLine("\nParallel Shift Total: {0:f}", NPV(y, csp) * 100000000 - iniMTM); // parallel shift // reset some variable used in sensitivities sens = 0.0; runSum = 0.0; Console.WriteLine("Sensitivities to Discount Curve:"); // let's consider discounting curve IRateCurve[] DCrvs = C.ShiftedCurvesArrayDCurve(0.0001); // shifting each bucket IMultiRateCurve DCrvp = C.ParallelShiftDCurve(0.0001); // parallel shift nOfRate = mktRates.Count; // iterate for market input for discounting curve for (int i = 0; i < nOfRate; i++) { sens = NPV(y, DCrvs[i]) * 100000000 - iniMTM; Console.WriteLine("{0} BPV: {1:f}", mktRates.Item(i).M.GetPeriodStringFormat(), sens); runSum += sens; } Console.WriteLine("Total: {0:f}", runSum); Console.WriteLine("\nParallel Shift Total: {0:f}", NPV(y, DCrvp) * 100000000 - iniMTM); }); stopwatch.Stop(); Console.WriteLine("Parallel loop time in milliseconds: {0}", stopwatch.ElapsedMilliseconds); #endregion }