private const double TOLERANCE_PRICE_CALIBRATION_LS = 5.0E-4; // Calibration Least Square; result not exact
//JAVA TO C# CONVERTER TODO TASK: Most Java annotations will not have direct .NET equivalent attributes:
//ORIGINAL LINE: @Test public void normal_cube()
public virtual void normal_cube()
{
double beta = 0.50;
Surface betaSurface = ConstantSurface.of("Beta", beta).withMetadata(DefaultSurfaceMetadata.builder().xValueType(ValueType.YEAR_FRACTION).yValueType(ValueType.YEAR_FRACTION).zValueType(ValueType.SABR_BETA).surfaceName("Beta").build());
double shift = 0.0300;
Surface shiftSurface = ConstantSurface.of("Shift", shift).withMetadata(DefaultSurfaceMetadata.builder().xValueType(ValueType.YEAR_FRACTION).yValueType(ValueType.YEAR_FRACTION).surfaceName("Shift").build());
SabrParametersSwaptionVolatilities calibrated = SABR_CALIBRATION.calibrateWithFixedBetaAndShift(DEFINITION, CALIBRATION_TIME, DATA_SPARSE, MULTICURVE, betaSurface, shiftSurface);
for (int looptenor = 0; looptenor < TENORS.size(); looptenor++)
{
double tenor = TENORS.get(looptenor).get(ChronoUnit.YEARS);
for (int loopexpiry = 0; loopexpiry < EXPIRIES.size(); loopexpiry++)
{
LocalDate expiry = EUR_FIXED_1Y_EURIBOR_6M.FloatingLeg.StartDateBusinessDayAdjustment.adjust(CALIBRATION_DATE.plus(EXPIRIES.get(loopexpiry)), REF_DATA);
LocalDate effectiveDate = EUR_FIXED_1Y_EURIBOR_6M.calculateSpotDateFromTradeDate(expiry, REF_DATA);
LocalDate endDate = effectiveDate.plus(TENORS.get(looptenor));
SwapTrade swap = EUR_FIXED_1Y_EURIBOR_6M.toTrade(CALIBRATION_DATE, effectiveDate, endDate, BuySell.BUY, 1.0, 0.0);
double parRate = SWAP_PRICER.parRate(swap.resolve(REF_DATA).Product, MULTICURVE);
ZonedDateTime expiryDateTime = expiry.atTime(11, 0).atZone(ZoneId.of("Europe/Berlin"));
double time = calibrated.relativeTime(expiryDateTime);
for (int loopmoney = 0; loopmoney < MONEYNESS.size(); loopmoney++)
{
if (!double.IsNaN(DATA_ARRAY_SPARSE[looptenor][loopexpiry][loopmoney]))
{
double strike = parRate + MONEYNESS.get(loopmoney);
double volBlack = calibrated.volatility(expiryDateTime, tenor, strike, parRate);
double priceComputed = BlackFormulaRepository.price(parRate + shift, parRate + MONEYNESS.get(loopmoney) + shift, time, volBlack, true);
double priceNormal = NormalFormulaRepository.price(parRate, parRate + MONEYNESS.get(loopmoney), time, DATA_ARRAY_SPARSE[looptenor][loopexpiry][loopmoney], PutCall.CALL);
assertEquals(priceComputed, priceNormal, TOLERANCE_PRICE_CALIBRATION_LS);
}
}
}
}
}
private void presentValueSensitivityRawDataParallelSensitivity(SabrParametersSwaptionVolatilities sabrCalibrated, TenorRawOptionData dataRaw)
{
PointSensitivities points = LEG_PRICER.presentValueSensitivityModelParamsSabr(FLOOR_LEG, MULTICURVE, sabrCalibrated).build();
CurrencyParameterSensitivities sabrParametersSurfaceSensitivities = sabrCalibrated.parameterSensitivity(points);
CurrencyParameterSensitivity parallelSensitivitiesSurface = RDSC.parallelSensitivity(sabrParametersSurfaceSensitivities, sabrCalibrated);
DoubleArray sensitivityArray = parallelSensitivitiesSurface.Sensitivity;
double fdShift = 1.0E-6;
int surfacePointIndex = 0;
for (int loopexpiry = 0; loopexpiry < EXPIRIES.size(); loopexpiry++)
{
for (int looptenor = 0; looptenor < TENORS.size(); looptenor++)
{
Tenor tenor = TENORS.get(looptenor);
Pair <DoubleArray, DoubleArray> ds = dataRaw.getData(tenor).availableSmileAtExpiry(EXPIRIES.get(loopexpiry));
if (!ds.First.Empty)
{
double[] pv = new double[2]; // pv with shift up and down
for (int loopsign = 0; loopsign < 2; loopsign++)
{
TenorRawOptionData dataShifted = SabrSwaptionCalibratorSmileTestUtils.rawDataShiftSmile(TENORS, EXPIRIES, ValueType.SIMPLE_MONEYNESS, MONEYNESS, ValueType.NORMAL_VOLATILITY, DATA_ARRAY_FULL, looptenor, loopexpiry, (2 * loopsign - 1) * fdShift);
SabrParametersSwaptionVolatilities calibratedShifted = SABR_CALIBRATION.calibrateWithFixedBetaAndShift(DEFINITION, CALIBRATION_TIME, dataShifted, MULTICURVE, BETA_SURFACE, SHIFT_SABR_SURFACE);
pv[loopsign] = LEG_PRICER.presentValue(FLOOR_LEG, MULTICURVE, calibratedShifted).Amount;
}
double sensitivityFd = (pv[1] - pv[0]) / (2 * fdShift); // FD sensitivity computation
SabrSwaptionCalibratorSmileTestUtils.checkAcceptable(sensitivityFd, sensitivityArray.get(surfacePointIndex), 0.10, "Tenor/Expiry: " + TENORS.get(looptenor) + " / " + EXPIRIES.get(loopexpiry));
surfacePointIndex++;
}
}
}
}
private static TenorRawOptionData rawData(double[][][] dataArray)
{
IDictionary <Tenor, RawOptionData> raw = new SortedDictionary <Tenor, RawOptionData>();
for (int looptenor = 0; looptenor < dataArray.Length; looptenor++)
{
DoubleMatrix matrix = DoubleMatrix.ofUnsafe(dataArray[looptenor]);
raw[TENORS.get(looptenor)] = RawOptionData.of(EXPIRIES, MONEYNESS, SIMPLE_MONEYNESS, matrix, NORMAL_VOLATILITY);
}
return(TenorRawOptionData.of(raw));
}
//-------------------------------------------------------------------------
/// <summary>
/// Runs the calibration of swaptions and print the calibrated smile results on the console.
/// </summary>
/// <param name="args"> -s to use the sparse data, i.e. a cube with missing data points </param>
public static void Main(string[] args)
{
// select data
TenorRawOptionData data = DATA_FULL;
if (args.Length > 0)
{
if (args[0].Equals("-s"))
{
data = DATA_SPARSE;
}
}
Console.WriteLine("Start calibration");
double beta = 0.50;
SurfaceMetadata betaMetadata = DefaultSurfaceMetadata.builder().xValueType(ValueType.YEAR_FRACTION).yValueType(ValueType.YEAR_FRACTION).zValueType(ValueType.SABR_BETA).surfaceName("Beta").build();
Surface betaSurface = ConstantSurface.of(betaMetadata, beta);
double shift = 0.0300;
Surface shiftSurface = ConstantSurface.of("Shift", shift);
SabrParametersSwaptionVolatilities calibrated = SABR_CALIBRATION.calibrateWithFixedBetaAndShift(DEFINITION, CALIBRATION_TIME, data, MULTICURVE, betaSurface, shiftSurface);
Console.WriteLine("End calibration");
/* Graph calibration */
int nbStrikesGraph = 50;
double moneyMin = -0.0250;
double moneyMax = +0.0300;
double[] moneyGraph = new double[nbStrikesGraph + 1];
for (int i = 0; i < nbStrikesGraph + 1; i++)
{
moneyGraph[i] = moneyMin + i * (moneyMax - moneyMin) / nbStrikesGraph;
}
//JAVA TO C# CONVERTER NOTE: The following call to the 'RectangularArrays' helper class reproduces the rectangular array initialization that is automatic in Java:
//ORIGINAL LINE: double[][][] strikesGraph = new double[NB_TENORS][NB_EXPIRIES][nbStrikesGraph + 1];
double[][][] strikesGraph = RectangularArrays.ReturnRectangularDoubleArray(NB_TENORS, NB_EXPIRIES, nbStrikesGraph + 1);
//JAVA TO C# CONVERTER NOTE: The following call to the 'RectangularArrays' helper class reproduces the rectangular array initialization that is automatic in Java:
//ORIGINAL LINE: double[][][] volLNGraph = new double[NB_TENORS][NB_EXPIRIES][nbStrikesGraph + 1];
double[][][] volLNGraph = RectangularArrays.ReturnRectangularDoubleArray(NB_TENORS, NB_EXPIRIES, nbStrikesGraph + 1);
//JAVA TO C# CONVERTER NOTE: The following call to the 'RectangularArrays' helper class reproduces the rectangular array initialization that is automatic in Java:
//ORIGINAL LINE: double[][][] volNGraph = new double[NB_TENORS][NB_EXPIRIES][nbStrikesGraph + 1];
double[][][] volNGraph = RectangularArrays.ReturnRectangularDoubleArray(NB_TENORS, NB_EXPIRIES, nbStrikesGraph + 1);
//JAVA TO C# CONVERTER NOTE: The following call to the 'RectangularArrays' helper class reproduces the rectangular array initialization that is automatic in Java:
//ORIGINAL LINE: double[][] parRate = new double[NB_TENORS][NB_EXPIRIES];
double[][] parRate = RectangularArrays.ReturnRectangularDoubleArray(NB_TENORS, NB_EXPIRIES);
for (int looptenor = 0; looptenor < TENORS.size(); looptenor++)
{
double tenor = TENORS.get(looptenor).get(ChronoUnit.YEARS);
for (int loopexpiry = 0; loopexpiry < EXPIRIES.size(); loopexpiry++)
{
LocalDate expiry = EUR_FIXED_1Y_EURIBOR_6M.FloatingLeg.StartDateBusinessDayAdjustment.adjust(CALIBRATION_DATE.plus(EXPIRIES.get(loopexpiry)), REF_DATA);
LocalDate effectiveDate = EUR_FIXED_1Y_EURIBOR_6M.calculateSpotDateFromTradeDate(expiry, REF_DATA);
LocalDate endDate = effectiveDate.plus(TENORS.get(looptenor));
SwapTrade swap = EUR_FIXED_1Y_EURIBOR_6M.toTrade(CALIBRATION_DATE, effectiveDate, endDate, BuySell.BUY, 1.0, 0.0);
parRate[looptenor][loopexpiry] = SWAP_PRICER.parRate(swap.resolve(REF_DATA).Product, MULTICURVE);
ZonedDateTime expiryDateTime = expiry.atTime(11, 0).atZone(ZoneId.of("Europe/Berlin"));
double time = calibrated.relativeTime(expiryDateTime);
for (int i = 0; i < nbStrikesGraph + 1; i++)
{
strikesGraph[looptenor][loopexpiry][i] = parRate[looptenor][loopexpiry] + moneyGraph[i];
volLNGraph[looptenor][loopexpiry][i] = calibrated.volatility(expiryDateTime, tenor, strikesGraph[looptenor][loopexpiry][i], parRate[looptenor][loopexpiry]);
volNGraph[looptenor][loopexpiry][i] = NormalFormulaRepository.impliedVolatilityFromBlackApproximated(parRate[looptenor][loopexpiry] + shift, strikesGraph[looptenor][loopexpiry][i] + shift, time, volLNGraph[looptenor][loopexpiry][i]);
}
}
}
/* Graph export */
string svn = "Moneyness";
for (int looptenor = 0; looptenor < TENORS.size(); looptenor++)
{
for (int loopexpiry = 0; loopexpiry < EXPIRIES.size(); loopexpiry++)
{
svn = svn + ", Strike_" + EXPIRIES.get(loopexpiry).ToString() + "x" + TENORS.get(looptenor).ToString() + ", NormalVol_" + EXPIRIES.get(loopexpiry).ToString() + "x" + TENORS.get(looptenor).ToString();
}
}
svn = svn + "\n";
for (int i = 0; i < nbStrikesGraph + 1; i++)
{
svn = svn + moneyGraph[i];
for (int looptenor = 0; looptenor < TENORS.size(); looptenor++)
{
for (int loopexpiry = 0; loopexpiry < EXPIRIES.size(); loopexpiry++)
{
svn = svn + ", " + strikesGraph[looptenor][loopexpiry][i];
svn = svn + ", " + volNGraph[looptenor][loopexpiry][i];
}
}
svn = svn + "\n";
}
Console.WriteLine(svn);
}
