public virtual void comparisonDupireVolTest()
{
double tol = 1.0e-2;
ImpliedTrinomialTreeLocalVolatilityCalculator calc = new ImpliedTrinomialTreeLocalVolatilityCalculator(28, 1.45d, INTERP_LINEAR);
System.Func <double, double> interestRate = (double?x) =>
{
return(0.03d);
};
System.Func <double, double> dividendRate = (double?x) =>
{
return(0.01d);
};
InterpolatedNodalSurface resTri = calc.localVolatilityFromImpliedVolatility(VOL_SURFACE, SPOT, interestRate, dividendRate);
DeformedSurface resDup = (new DupireLocalVolatilityCalculator()).localVolatilityFromImpliedVolatility(VOL_SURFACE, SPOT, interestRate, dividendRate);
double[][] sampleStrikes = new double[][]
{
new double[] { 0.7 * SPOT, SPOT, 1.1 * SPOT, 1.4 * SPOT },
new double[] { 0.5 * SPOT, 0.9 * SPOT, SPOT, 1.3 * SPOT, 1.9 * SPOT }
};
double[] sampleTimes = new double[] { 0.8, 1.1 };
for (int i = 0; i < sampleTimes.Length; ++i)
{
double time = sampleTimes[i];
foreach (double strike in sampleStrikes[i])
{
double volTri = resTri.zValue(time, strike);
double volDup = resDup.zValue(time, strike);
assertEquals(volTri, volDup, tol);
}
}
}
public virtual void comparisonDupirePriceTest()
{
double tol = 7.0e-2;
ImpliedTrinomialTreeLocalVolatilityCalculator calc = new ImpliedTrinomialTreeLocalVolatilityCalculator(22, 1.1d, INTERP_LINEAR);
System.Func <double, double> interestRate = (double?x) =>
{
return(0.003d);
};
System.Func <double, double> dividendRate = (double?x) =>
{
return(0.01d);
};
InterpolatedNodalSurface resTri = calc.localVolatilityFromPrice(PRICE_SURFACE, SPOT, interestRate, dividendRate);
DeformedSurface resDup = (new DupireLocalVolatilityCalculator()).localVolatilityFromPrice(PRICE_SURFACE, SPOT, interestRate, dividendRate);
// limited range due to interpolation/extrapolation of price surface -> negative call/put price reached
double[][] sampleStrikes = new double[][]
{
new double[] { 0.95 * SPOT, 1.05 * SPOT },
new double[] { 0.9 * SPOT, SPOT, 1.1 * SPOT }
};
double[] sampleTimes = new double[] { 0.7, 1.05 };
for (int i = 0; i < sampleTimes.Length; ++i)
{
double time = sampleTimes[i];
foreach (double strike in sampleStrikes[i])
{
double volTri = resTri.zValue(time, strike);
double volDup = resDup.zValue(time, strike);
assertEquals(volTri, volDup, tol);
}
}
}
private void testSurfaceSensitivity(CurrencyParameterSensitivity computed, NormalIborCapletFloorletExpiryStrikeVolatilities vols, System.Func <IborCapletFloorletVolatilities, CurrencyAmount> valueFn)
{
double pvBase = valueFn(vols).Amount;
InterpolatedNodalSurface surfaceBase = (InterpolatedNodalSurface)vols.Surface;
int nParams = surfaceBase.ParameterCount;
for (int i = 0; i < nParams; ++i)
{
DoubleArray zBumped = surfaceBase.ZValues.with(i, surfaceBase.ZValues.get(i) + EPS_FD);
InterpolatedNodalSurface surfaceBumped = surfaceBase.withZValues(zBumped);
NormalIborCapletFloorletExpiryStrikeVolatilities volsBumped = NormalIborCapletFloorletExpiryStrikeVolatilities.of(vols.Index, vols.ValuationDateTime, surfaceBumped);
double fd = (valueFn(volsBumped).Amount - pvBase) / EPS_FD;
assertEquals(computed.Sensitivity.get(i), fd, NOTIONAL * EPS_FD);
}
}
public virtual void flatVolTest()
{
double tol = 2.0e-2;
double constantVol = 0.15;
ConstantSurface impliedVolSurface = ConstantSurface.of("impliedVol", constantVol);
System.Func <double, double> zeroRate = (double?x) =>
{
return(0.05d);
};
System.Func <double, double> zeroRate1 = (double?x) =>
{
return(0.02d);
};
ImpliedTrinomialTreeLocalVolatilityCalculator calc = new ImpliedTrinomialTreeLocalVolatilityCalculator(45, 1d, INTERP_TIMESQ_LINEAR);
InterpolatedNodalSurface localVolSurface = calc.localVolatilityFromImpliedVolatility(impliedVolSurface, 100d, zeroRate, zeroRate1);
assertEquals(localVolSurface.ZValues.Where(d => !DoubleMath.fuzzyEquals(d, constantVol, tol)).Count(), 0);
}
//-------------------------------------------------------------------------
public virtual void test_parameterSensitivity()
{
double expiry = ACT_365F.relativeYearFraction(VAL_DATE, LocalDate.of(2015, 8, 14));
LocalDate fixing = LocalDate.of(2016, 9, 14);
double strikePrice = 1.0025;
double futurePrice = 0.9975;
double sensitivity = 123456;
IborFutureOptionSensitivity point = IborFutureOptionSensitivity.of(VOL_SIMPLE_MONEY_RATE.Name, expiry, fixing, strikePrice, futurePrice, EUR, sensitivity);
CurrencyParameterSensitivities ps = VOL_SIMPLE_MONEY_RATE.parameterSensitivity(point);
double shift = 1.0E-6;
double v0 = VOL_SIMPLE_MONEY_RATE.volatility(expiry, fixing, strikePrice, futurePrice);
for (int i = 0; i < NORMAL_VOL_RATES.size(); i++)
{
DoubleArray v = NORMAL_VOL_RATES.with(i, NORMAL_VOL_RATES.get(i) + shift);
InterpolatedNodalSurface param = InterpolatedNodalSurface.of(Surfaces.normalVolatilityByExpirySimpleMoneyness("Rate", ACT_365F, MoneynessType.RATES), TIMES, MONEYNESS_RATES, v, INTERPOLATOR_2D);
NormalIborFutureOptionExpirySimpleMoneynessVolatilities vol = NormalIborFutureOptionExpirySimpleMoneynessVolatilities.of(EUR_EURIBOR_3M, VAL_DATE_TIME, param);
double vP = vol.volatility(expiry, fixing, strikePrice, futurePrice);
double s = ps.getSensitivity(PARAMETERS_RATE.Name, EUR).Sensitivity.get(i);
assertEquals(s, (vP - v0) / shift * sensitivity, TOLERANCE_DELTA);
}
}
public virtual void flatVolPriceTest()
{
double tol = 2.0e-2;
double constantVol = 0.15;
double spot = 100d;
double maxTime = 1d;
int nSteps = 9;
ConstantSurface impliedVolSurface = ConstantSurface.of("impliedVol", constantVol);
System.Func <double, double> zeroRate = (double?x) =>
{
return(0d);
};
System.Func <DoublesPair, ValueDerivatives> func = (DoublesPair x) =>
{
double price = BlackFormulaRepository.price(spot, x.Second, x.First, constantVol, true);
return(ValueDerivatives.of(price, DoubleArray.EMPTY));
};
DeformedSurface priceSurface = DeformedSurface.of(DefaultSurfaceMetadata.of("price"), impliedVolSurface, func);
ImpliedTrinomialTreeLocalVolatilityCalculator calc = new ImpliedTrinomialTreeLocalVolatilityCalculator(nSteps, maxTime, INTERP_TIMESQ_LINEAR);
InterpolatedNodalSurface localVolSurface = calc.localVolatilityFromPrice(priceSurface, spot, zeroRate, zeroRate);
assertEquals(localVolSurface.ZValues.Where(d => !DoubleMath.fuzzyEquals(d, constantVol, tol)).Count(), 0);
}
