public void TestCoordinatorAllData()
{
// Make the swap
var rate = 0.07;
var payFixed = true;
double notional = 1000000;
var startDate = new Date(2016, 9, 17);
var tenor = Tenor.Years(5);
var swap = IRSwap.CreateZARSwap(rate, payFixed, notional, startDate, tenor);
// Set up the model
var valueDate = new Date(2016, 9, 17);
var a = 0.05;
var vol = 0.01;
var flatCurveRate = 0.07;
var hullWiteSim = new HullWhite1F(Currency.ZAR, a, vol, flatCurveRate, flatCurveRate, valueDate);
hullWiteSim.AddForecast(FloatingIndex.JIBAR3M);
var coordinator = new Coordinator(hullWiteSim, new List <Simulator>(), 5000);
var date = valueDate;
var endDate = valueDate.AddTenor(tenor);
var fwdValueDates = new List <Date>();
while (date < endDate)
{
fwdValueDates.Add(date);
date = date.AddTenor(Tenor.Days(10));
}
var allDetails = coordinator.GetValuePaths(new Product[] { swap }, valueDate, fwdValueDates.ToArray());
allDetails.GetNames();
}
public void TestSwapHW()
{
// Make the swap
var rate = 0.08;
var payFixed = true;
double notional = 1000000;
var startDate = new Date(2016, 9, 17);
var tenor = Tenor.Years(5);
var swap = IRSwap.CreateZARSwap(rate, payFixed, notional, startDate, tenor);
// Set up the model
var valueDate = new Date(2016, 9, 17);
var a = 0.05;
var vol = 0.01;
var flatCurveRate = 0.07;
var hullWiteSim = new HullWhite1F(Currency.ZAR, a, vol, flatCurveRate, flatCurveRate, valueDate);
hullWiteSim.AddForecast(FloatingIndex.JIBAR3M);
var coordinator = new Coordinator(hullWiteSim, new List <Simulator>(), 10000);
// Run the valuation
var value = coordinator.Value(new Product[] { swap }, valueDate);
var refValue = -41838.32; // See RateProductTest.xlsx
Assert.AreEqual(refValue, value, 4000);
}
public void Init()
{
// Set up the model
valueDate = new Date(2016, 9, 17);
var a = 0.05;
var vol = 0.01;
var flatCurveRate = 0.07;
hullWiteSim = new HullWhite1F(Currency.ZAR, a, vol, flatCurveRate, flatCurveRate, valueDate);
hullWiteSim.AddForecast(FloatingIndex.JIBAR3M);
// Make the underlying swap
var rate = 0.07;
var payFixed = true;
double notional = 1000000;
var startDate = new Date(2016, 9, 17);
var tenor = Tenor.Years(5);
swapPay = IRSwap.CreateZARSwap(rate, payFixed, notional, startDate, tenor);
swapRec = IRSwap.CreateZARSwap(rate, !payFixed, notional, startDate, tenor);
// Full set of exercise dates
exDates = new List <Date>
{
new Date(2017, 9, 17),
new Date(2018, 9, 17),
new Date(2019, 9, 17),
new Date(2020, 9, 17)
};
}
public void TestSwap()
{
// Make the swap
var rate = 0.08;
var payFixed = true;
double notional = 1000000;
var startDate = new Date(2016, 9, 17);
var tenor = Tenor.Years(5);
var swap = IRSwap.CreateZARSwap(rate, payFixed, notional, startDate, tenor);
// Set up the model
var valueDate = new Date(2016, 9, 17);
Date[] dates = { new Date(2016, 9, 17), new Date(2026, 9, 17) };
double[] rates = { 0.07, 0.07 };
IDiscountingSource discountCurve = new DatesAndRates(Currency.ZAR, valueDate, dates, rates);
IFloatingRateSource forecastCurve = new ForecastCurve(valueDate, FloatingIndex.JIBAR3M, dates, rates);
var curveSim = new DeterminsiticCurves(discountCurve);
curveSim.AddRateForecast(forecastCurve);
var coordinator = new Coordinator(curveSim, new List <Simulator>(), 1);
// Run the valuation
var value = coordinator.Value(new Product[] { swap }, valueDate);
var refValue = -41838.32; // See RateProductTest.xlsx
Assert.AreEqual(refValue, value, 0.01);
}
private Product[] GetListOfSwaps()
{
int N = 50000;
Date anchorDate = new Date(2016, 11, 21);
double rate = 0.08;
bool payFixed = true;
double notional = 1000000;
double[,] swapDist = new double[, ] {
{ 0.171 }, { 0.148 }, { 0.101 }, { 0.094 }, { 0.108 }, { 0.056 }, { 0.041 }, { 0.049 }, { 0.047 }, { 0.056 }, { 0.013 }, { 0.013 }, { 0.010 }, { 0.011 }, { 0.011 }, { 0.004 }, { 0.003 }, { 0.005 }, { 0.007 }, { 0.006 }, { 0.004 }, { 0.004 }, { 0.007 }, { 0.005 }, { 0.006 }, { 0.006 }, { 0.003 }, { 0.003 }, { 0.002 }, { 0.005 }
};
IRandomNumberGenerator <double> generator1 = new ZigguratUniformGenerator(0, 1);
IRandomNumberGenerator <double> generator365 = new ZigguratUniformGenerator(1, 365);
double[,] cumSum = swapDist.CumulativeSum(1);
Product[] allSwaps = new Product[N];
for (int swapNum = 0; swapNum < N; swapNum++)
{
double x = generator1.Generate();
int years = 0;
while (years < cumSum.GetLength(0) && x > cumSum[years, 0])
{
years++;
}
int days = (int)Math.Round(generator365.Generate());
Date endDate = anchorDate.AddTenor(new Tenor(days, 0, 0, years));
Date startDate = endDate.AddTenor(Tenor.Years(-years - 1));
allSwaps[swapNum] = IRSwap.CreateZARSwap(rate, payFixed, notional, startDate, Tenor.Years(years + 1));
}
return(allSwaps);
}
public override double[] GetUnderlyingFactors(Date date)
{
double[] regressors = new double[3];
double fxRate = GetIndices(currencyPair, new List <Date> {
date
})[0];
double defaultIndicator = date < simDefaultTime ? 0.0 : 1.0;
double fwdDefaultP = (1.0 - survivalProbSource.GetSP(date.AddTenor(Tenor.Years(1))) / survivalProbSource.GetSP(date));
regressors[0] = fxRate;
regressors[1] = defaultIndicator;
regressors[2] = fwdDefaultP;
return(regressors);
}
public void TestQuantoCDS()
{
var spot = 1.00;
var relJumpSizeInDefault = -0.2;
var cdsSpread = 0.025;
// Trades
var anchorDate = new Date(2016, 11, 25);
var refEntity = new ReferenceEntity("ABC");
Date[] paymentDates;
double[] accrualFractions;
DateGenerators.CreateDatesNoHolidays(Tenor.Months(3), anchorDate, 20, out paymentDates,
out accrualFractions);
var zarNotionals = Vector.Ones(paymentDates.Length).Multiply(1000000.0);
var usdNotionals = zarNotionals.Divide(spot);
var zarSpreads = Vector.Ones(paymentDates.Length).Multiply(cdsSpread);
var usdSpreads = zarSpreads.Multiply(1 + relJumpSizeInDefault); // Adjusted for the FX jump size.
var boughtProtection = true;
var cdsZAR = new CDS(refEntity, Currency.ZAR, paymentDates, zarNotionals, zarSpreads, accrualFractions,
boughtProtection);
var cdsUSD = new CDS(refEntity, Currency.USD, paymentDates, zarNotionals, usdSpreads, accrualFractions,
boughtProtection);
// Model
var curveDates = new[] { anchorDate, anchorDate.AddTenor(Tenor.Years(10)) };
var expectedRecovery = 0.4;
var hazardRates = new[] { cdsSpread / (1 - expectedRecovery), cdsSpread / (1 - expectedRecovery) };
var usdRates = new[] { 0.01, 0.02 };
var zarRates = new[] { 0.07, 0.08 };
IDiscountingSource usdDiscountCurve = new DatesAndRates(Currency.USD, anchorDate, curveDates, usdRates);
IDiscountingSource zarDiscountCurve = new DatesAndRates(Currency.ZAR, anchorDate, curveDates, zarRates);
ISurvivalProbabilitySource abcHazardCurve = new HazardCurve(refEntity, anchorDate, curveDates, hazardRates);
var otherCurrency = Currency.USD;
var fxSource = new FXForecastCurve(otherCurrency, Currency.ZAR, spot, usdDiscountCurve, zarDiscountCurve);
var fxVol = 0.15;
NumeraireSimulator model = new DeterministicCreditWithFXJump(abcHazardCurve, otherCurrency, fxSource,
zarDiscountCurve, fxVol, relJumpSizeInDefault, expectedRecovery);
// Valuation
var N = 5000;
var coord = new Coordinator(model, new List <Simulator>(), N);
var zarValue = coord.Value(new Product[] { cdsZAR }, anchorDate);
var usdValue = coord.Value(new Product[] { cdsUSD }, anchorDate);
Assert.AreEqual(0.0, zarValue, 800.0); // about 2bp
Assert.AreEqual(0.0, usdValue, 800.0); // about 2bp
}
public void TestFloatLeg()
{
// Make the reference swap
var rate = 0.0;
var payFixed = true;
double notional = 1000000;
var startDate = new Date(2016, 9, 17);
var tenor = Tenor.Years(1);
var swap = IRSwap.CreateZARSwap(rate, payFixed, notional, startDate, tenor);
// Make a FloatLeg
var resetDates = new Date[4];
var paymentDates = new Date[4];
var accrualFractions = new double[4];
var runningDate = new Date(2016, 9, 17);
for (var i = 0; i < 4; i++)
{
resetDates[i] = new Date(runningDate);
paymentDates[i] = resetDates[i].AddMonths(3);
accrualFractions[i] = (paymentDates[i] - resetDates[i]) / 365.0;
runningDate = paymentDates[i];
}
var floatLeg = new FloatLeg(Currency.ZAR, paymentDates, new[] { 1e6, 1e6, 1e6, 1e6 },
resetDates,
new[] { FloatingIndex.JIBAR3M, FloatingIndex.JIBAR3M, FloatingIndex.JIBAR3M, FloatingIndex.JIBAR3M },
new double[] { 0, 0, 0, 0 }, accrualFractions);
// Set up the model
var valueDate = new Date(2016, 9, 17);
Date[] dates = { new Date(2016, 9, 17), new Date(2026, 9, 17) };
double[] rates = { 0.07, 0.07 };
IDiscountingSource discountCurve = new DatesAndRates(Currency.ZAR, valueDate, dates, rates);
IFloatingRateSource forecastCurve = new ForecastCurve(valueDate, FloatingIndex.JIBAR3M, dates, rates);
var curveSim = new DeterminsiticCurves(discountCurve);
curveSim.AddRateForecast(forecastCurve);
// Run the valuation
var coordinator = new Coordinator(curveSim, new List <Simulator>(), 1);
var swapValue = coordinator.Value(new Product[] { swap }, valueDate);
var floatLegValue = coordinator.Value(new Product[] { floatLeg }, valueDate);
Assert.AreEqual(swapValue, floatLegValue, 0.01);
}
public void TestMultiHWAndFXToyCCIRS()
{
var valueDate = new Date(2016, 9, 17);
var zarRatesSim = new HullWhite1F(Currency.ZAR, 0.05, 0.01, 0.07, 0.07, valueDate);
zarRatesSim.AddForecast(FloatingIndex.JIBAR3M);
var usdRatesSim = new HullWhite1F(Currency.USD, 0.05, 0.01, 0.01, 0.01, valueDate);
usdRatesSim.AddForecast(FloatingIndex.LIBOR3M);
var eurRatesSim = new HullWhite1F(Currency.EUR, 0.05, 0.01, 0.005, 0.005, valueDate);
eurRatesSim.AddForecast(FloatingIndex.EURIBOR3M);
var currencyPairs = new[]
{ new CurrencyPair(Currency.USD, Currency.ZAR), new CurrencyPair(Currency.EUR, Currency.ZAR) };
var spots = new[] { 13.6, 15.0 };
var vols = new[] { 0.15, 0.15 };
var correlations = new[, ]
{
{ 1.0, 0.0 },
{ 0.0, 1.0 }
};
var model = new MultiHWAndFXToy(valueDate, Currency.ZAR, new[] { zarRatesSim, usdRatesSim, eurRatesSim },
currencyPairs, spots, vols, correlations);
var portfolio = new List <Product>();
portfolio.Add(CreateFloatingLeg(Currency.ZAR, valueDate, -15e6, FloatingIndex.JIBAR3M, 7));
portfolio.Add(CreateFloatingLeg(Currency.EUR, valueDate, +1e6, FloatingIndex.EURIBOR3M, 7));
portfolio.Add(CreateFloatingLeg(Currency.ZAR, valueDate, 13e6, FloatingIndex.JIBAR3M, 13));
portfolio.Add(CreateFloatingLeg(Currency.USD, valueDate, -1e6, FloatingIndex.EURIBOR3M, 13));
portfolio.Add(IRSwap.CreateZARSwap(0.07, true, 20e6, valueDate, Tenor.Years(4)));
var stepInMonths = 1;
var fwdValueDates = Enumerable.Range(1, 13 * 12 / stepInMonths)
.Select(i => valueDate.AddMonths(stepInMonths * i)).ToArray();
var coord = new Coordinator(model, new List <Simulator>(), 1000);
//coord.SetThreadedness(false);
var epe = coord.EPE(portfolio.ToArray(), valueDate, fwdValueDates);
Assert.AreEqual(1555002, epe[0], 5000);
Assert.AreEqual(2170370, epe[87], 5000);
Assert.AreEqual(0, epe[155], 5);
//Debug.WriteToFile("c:\\dev\\quantsa\\temp\\epeTest_singlethread_10000.csv", epe);
}
public void TestCoordinatorEPESwap()
{
// Make the swap
var rate = 0.07;
var payFixed = true;
double notional = 1000000;
var startDate = new Date(2016, 9, 17);
var tenor = Tenor.Years(5);
var swap = IRSwap.CreateZARSwap(rate, payFixed, notional, startDate, tenor);
// Set up the model
var valueDate = new Date(2016, 9, 17);
var a = 0.05;
var vol = 0.005;
var flatCurveRate = 0.07;
var hullWiteSim = new HullWhite1F(Currency.ZAR, a, vol, flatCurveRate, flatCurveRate, valueDate);
hullWiteSim.AddForecast(FloatingIndex.JIBAR3M);
var coordinator = new Coordinator(hullWiteSim, new List <Simulator>(), 5000);
var date = valueDate;
var endDate = valueDate.AddTenor(tenor);
var fwdValueDates = new List <Date>();
while (date < endDate)
{
fwdValueDates.Add(date);
date = date.AddTenor(Tenor.Days(10));
}
var epe = coordinator.EPE(new Product[] { swap }, valueDate, fwdValueDates.ToArray());
//Debug.WriteToFile(@"c:\dev\temp\epe_rate08_vol005.csv", epe);
Assert.AreEqual(2560, epe[0], 100.0);
Assert.AreEqual(6630, epe[90], 100.0);
Assert.AreEqual(734, epe[182], 30);
}
public static HullWhite1F CreateHWModelDemo([ExcelArgument(Description = "The constant rate of mean reversion.")] double meanReversion,
[ExcelArgument(Description = "The constant short rate volatility. Note that this is a Gaussian vol and will in general be lower than the vol that would be used in Black.")] double flatVol,
[ExcelArgument(Description = "The curve to which zero coupon bond prices will be calibrated.")] IDiscountingSource baseCurve,
[ExcelArgument(Description = "The indices that should be forecast with this same cuve. No spreads are added.")] FloatingIndex forecastIndices)
{
Date anchorDate = baseCurve.GetAnchorDate();
double flatCurveRate = -Math.Log(baseCurve.GetDF(anchorDate.AddTenor(Tenor.Years(1))));
HullWhite1F model = new HullWhite1F(baseCurve.GetCurrency(), meanReversion, flatVol, flatCurveRate, flatCurveRate, anchorDate);
model.AddForecast(forecastIndices);
return(model);
}
public void TestMultiHWAndFXToyCCIRSAltConstructor()
{
var valueDate = new Date(2016, 9, 17);
var spots = new List <double> {
13.6, 15.0
};
var vols = new List <double> {
0.15, 0.15
};
var correlations = new[, ]
{
{ 1.0, 0.0 },
{ 0.0, 1.0 }
};
// ZAR HW specs
IDiscountingSource zarCurve = new DatesAndRates(Currency.ZAR, valueDate,
new[] { valueDate, valueDate.AddMonths(240) },
new[] { 0.07, 0.07 });
var zarHWParams = new HWParams {
vol = 0.01, meanReversionSpeed = 0.05
};
var zarRequiredIndices = new List <FloatingIndex> {
FloatingIndex.JIBAR3M
};
// Lists to be populated for other currencies
var otherCcys = new List <Currency>();
var otherCcyCurves = new List <IDiscountingSource>();
var otherCcyHwParams = new List <HWParams>();
var otherCcyRequiredIndices = new List <List <FloatingIndex> >();
// USD HW specs
otherCcys.Add(Currency.USD);
otherCcyCurves.Add(new DatesAndRates(Currency.USD, valueDate, new[] { valueDate, valueDate.AddMonths(240) },
new[] { 0.01, 0.01 }));
otherCcyHwParams.Add(new HWParams {
vol = 0.01, meanReversionSpeed = 0.05
});
otherCcyRequiredIndices.Add(new List <FloatingIndex> {
FloatingIndex.LIBOR3M
});
// EUR HW specs
otherCcys.Add(Currency.EUR);
otherCcyCurves.Add(new DatesAndRates(Currency.EUR, valueDate, new[] { valueDate, valueDate.AddMonths(240) },
new[] { 0.005, 0.005 }));
otherCcyHwParams.Add(new HWParams {
vol = 0.01, meanReversionSpeed = 0.05
});
otherCcyRequiredIndices.Add(new List <FloatingIndex> {
FloatingIndex.EURIBOR3M
});
// Construct the model
var model = new MultiHWAndFXToy(valueDate, zarCurve, zarRequiredIndices, zarHWParams,
otherCcys, spots, vols, otherCcyCurves, otherCcyRequiredIndices, otherCcyHwParams, correlations);
var portfolio = new List <Product>();
portfolio.Add(CreateFloatingLeg(Currency.ZAR, valueDate, -15e6, FloatingIndex.JIBAR3M, 7));
portfolio.Add(CreateFloatingLeg(Currency.EUR, valueDate, +1e6, FloatingIndex.EURIBOR3M, 7));
portfolio.Add(CreateFloatingLeg(Currency.ZAR, valueDate, 13e6, FloatingIndex.JIBAR3M, 13));
portfolio.Add(CreateFloatingLeg(Currency.USD, valueDate, -1e6, FloatingIndex.EURIBOR3M, 13));
portfolio.Add(IRSwap.CreateZARSwap(0.07, true, 20e6, valueDate, Tenor.Years(4)));
var stepInMonths = 1;
var fwdValueDates = Enumerable.Range(1, 13 * 12 / stepInMonths)
.Select(i => valueDate.AddMonths(stepInMonths * i)).ToArray();
var coord = new Coordinator(model, new List <Simulator>(), 1000);
//coord.SetThreadedness(false);
var epe = coord.EPE(portfolio.ToArray(), valueDate, fwdValueDates);
Assert.AreEqual(1555002, epe[0], 5000);
Assert.AreEqual(2170370, epe[87], 5000);
Assert.AreEqual(0, epe[155], 5);
//Debug.WriteToFile("c:\\dev\\quantsa\\temp\\epeTest_2.csv", epe);
}
/// <summary>
/// Run a simulation and store the results for later use by <see cref="GetIndices(MarketObservable, List{Date})"/>
/// </summary>
/// <param name="simNumber"></param>
public override void RunSimulation(int simNumber)
{
simulation = new Dictionary <int, double>();
double simRate = spot;
double oldFxFwd = spot;
double newFXfwd;
// Simulate the default
NormalDistribution normal = new NormalDistribution();
UniformContinuousDistribution uniform = new UniformContinuousDistribution();
double hazEst = survivalProbSource.GetSP(survivalProbSource.getAnchorDate().AddTenor(Tenor.Years(1)));
hazEst = -Math.Log(hazEst);
Generator.Seed = -533776581 * simNumber; // This magic number is: "DeterministicCreditWithFXJump".GetHashCode();
double tau = uniform.Generate();
tau = Math.Log(tau) / (-hazEst);
simDefaultTime = anchorDate.value + tau * 365;
for (int timeCounter = 0; timeCounter < allRequiredDates.Count; timeCounter++)
{
double dt = timeCounter > 0 ? allRequiredDates[timeCounter] - allRequiredDates[timeCounter - 1] : allRequiredDates[timeCounter] - anchorDate.value;
newFXfwd = fxSource.GetRate(new Date(anchorDate.value + dt));
dt = dt / 365.0;
double sdt = Math.Sqrt(dt);
double dW = normal.Generate();
// TODO: drift needs to be adjusted for default rate * jump size
simRate = simRate * newFXfwd / oldFxFwd * Math.Exp((-0.5 * fxVol * fxVol) * dt + fxVol * sdt * dW);
if (simDefaultTime < allRequiredDates[timeCounter])
{
simulation[allRequiredDates[timeCounter]] = simRate * (1 + relJumpSizeInDefault);
}
else
{
simulation[allRequiredDates[timeCounter]] = simRate;
}
}
}