BlackHestonForwardOption.java
package org.drip.sample.option;
import org.drip.analytics.date.*;
import org.drip.function.r1tor1.FlatUnivariate;
import org.drip.market.otc.*;
import org.drip.numerical.fourier.PhaseAdjuster;
import org.drip.param.pricer.HestonOptionPricerParams;
import org.drip.param.valuation.*;
import org.drip.pricer.option.*;
import org.drip.product.creator.*;
import org.drip.product.definition.CalibratableComponent;
import org.drip.product.option.EuropeanCallPut;
import org.drip.product.rates.*;
import org.drip.service.env.EnvManager;
import org.drip.state.creator.ScenarioDiscountCurveBuilder;
import org.drip.state.discount.MergedDiscountForwardCurve;
import org.drip.state.identifier.ForwardLabel;
/*
* -*- mode: java; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
*/
/*!
* Copyright (C) 2018 Lakshmi Krishnamurthy
* Copyright (C) 2017 Lakshmi Krishnamurthy
* Copyright (C) 2016 Lakshmi Krishnamurthy
* Copyright (C) 2015 Lakshmi Krishnamurthy
* Copyright (C) 2014 Lakshmi Krishnamurthy
*
* This file is part of DRIP, a free-software/open-source library for buy/side financial/trading model
* libraries targeting analysts and developers
* https://lakshmidrip.github.io/DRIP/
*
* DRIP is composed of four main libraries:
*
* - DRIP Fixed Income - https://lakshmidrip.github.io/DRIP-Fixed-Income/
* - DRIP Asset Allocation - https://lakshmidrip.github.io/DRIP-Asset-Allocation/
* - DRIP Numerical Optimizer - https://lakshmidrip.github.io/DRIP-Numerical-Optimizer/
* - DRIP Statistical Learning - https://lakshmidrip.github.io/DRIP-Statistical-Learning/
*
* - DRIP Fixed Income: Library for Instrument/Trading Conventions, Treasury Futures/Options,
* Funding/Forward/Overnight Curves, Multi-Curve Construction/Valuation, Collateral Valuation and XVA
* Metric Generation, Calibration and Hedge Attributions, Statistical Curve Construction, Bond RV
* Metrics, Stochastic Evolution and Option Pricing, Interest Rate Dynamics and Option Pricing, LMM
* Extensions/Calibrations/Greeks, Algorithmic Differentiation, and Asset Backed Models and Analytics.
*
* - DRIP Asset Allocation: Library for model libraries for MPT framework, Black Litterman Strategy
* Incorporator, Holdings Constraint, and Transaction Costs.
*
* - DRIP Numerical Optimizer: Library for Numerical Optimization and Spline Functionality.
*
* - DRIP Statistical Learning: Library for Statistical Evaluation and Machine Learning.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
*
* You may obtain a copy of the License at
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
*
* See the License for the specific language governing permissions and
* limitations under the License.
*/
/**
* BlackHestonForwardOption illustrates pricing a forward using the Black '76 variant and the Heston's
* stochastic Volatility Models.
*
* @author Lakshmi Krishnamurthy
*/
public class BlackHestonForwardOption {
private static final FixFloatComponent OTCIRS (
final JulianDate dtSpot,
final String strCurrency,
final String strMaturityTenor,
final double dblCoupon)
{
FixedFloatSwapConvention ffConv = IBORFixedFloatContainer.ConventionFromJurisdiction (
strCurrency,
"ALL",
strMaturityTenor,
"MAIN"
);
return ffConv.createFixFloatComponent (
dtSpot,
strMaturityTenor,
dblCoupon,
0.,
1.
);
}
/*
* Construct the Array of Deposit Instruments from the given set of parameters
*
* USE WITH CARE: This sample ignores errors and does not handle exceptions.
*/
private static final CalibratableComponent[] DepositInstrumentsFromMaturityDays (
final JulianDate dtEffective,
final int[] aiDay,
final int iNumFutures,
final String strCurrency)
throws Exception
{
CalibratableComponent[] aCalibComp = new CalibratableComponent[aiDay.length + iNumFutures];
for (int i = 0; i < aiDay.length; ++i)
aCalibComp[i] = SingleStreamComponentBuilder.Deposit (
dtEffective,
dtEffective.addBusDays (
aiDay[i],
strCurrency
),
ForwardLabel.Create (
strCurrency,
"3M"
)
);
CalibratableComponent[] aEDF = SingleStreamComponentBuilder.ForwardRateFuturesPack (
dtEffective,
iNumFutures,
strCurrency
);
for (int i = aiDay.length; i < aiDay.length + iNumFutures; ++i)
aCalibComp[i] = aEDF[i - aiDay.length];
return aCalibComp;
}
/*
* Construct the Array of Swap Instruments from the given set of parameters
*
* USE WITH CARE: This sample ignores errors and does not handle exceptions.
*/
private static final FixFloatComponent[] SwapInstrumentsFromMaturityTenor (
final JulianDate dtSpot,
final String strCurrency,
final String[] astrMaturityTenor,
final double[] adblCoupon)
throws Exception
{
FixFloatComponent[] aIRS = new FixFloatComponent[astrMaturityTenor.length];
for (int i = 0; i < astrMaturityTenor.length; ++i) {
FixFloatComponent irs = OTCIRS (
dtSpot,
strCurrency,
astrMaturityTenor[i],
adblCoupon[i]
);
irs.setPrimaryCode ("IRS." + astrMaturityTenor[i] + "." + strCurrency);
aIRS[i] = irs;
}
return aIRS;
}
/*
* Construct the discount curve using the following steps:
* - Construct the array of cash instruments and their quotes.
* - Construct the array of swap instruments and their quotes.
* - Construct a shape preserving and smoothing KLK Hyperbolic Spline from the cash/swap instruments.
*
* USE WITH CARE: This sample ignores errors and does not handle exceptions.
*/
private static final MergedDiscountForwardCurve MakeDC (
final JulianDate dtSpot,
final String strCurrency)
throws Exception
{
/*
* Construct the array of Deposit instruments and their quotes.
*/
CalibratableComponent[] aDepositComp = DepositInstrumentsFromMaturityDays (
dtSpot,
new int[] {
1, 2, 3, 7, 14, 21, 30, 60
},
0,
strCurrency
);
double[] adblDepositQuote = new double[] {
0.01200, 0.01200, 0.01200, 0.01450, 0.01550, 0.01600, 0.01660, 0.01850
};
String[] astrDepositManifestMeasure = new String[] {
"ForwardRate", "ForwardRate", "ForwardRate", "ForwardRate", "ForwardRate", "ForwardRate", "ForwardRate", "ForwardRate"
};
/*
* Construct the array of Swap instruments and their quotes.
*/
double[] adblSwapQuote = new double[] {
0.02604, // 4Y
0.02808, // 5Y
0.02983, // 6Y
0.03136, // 7Y
0.03268, // 8Y
0.03383, // 9Y
0.03488, // 10Y
0.03583, // 11Y
0.03668, // 12Y
0.03833, // 15Y
0.03854, // 20Y
0.03672, // 25Y
0.03510, // 30Y
0.03266, // 40Y
0.03145 // 50Y
};
String[] astrSwapManifestMeasure = new String[] {
"SwapRate", // 4Y
"SwapRate", // 5Y
"SwapRate", // 6Y
"SwapRate", // 7Y
"SwapRate", // 8Y
"SwapRate", // 9Y
"SwapRate", // 10Y
"SwapRate", // 11Y
"SwapRate", // 12Y
"SwapRate", // 15Y
"SwapRate", // 20Y
"SwapRate", // 25Y
"SwapRate", // 30Y
"SwapRate", // 40Y
"SwapRate" // 50Y
};
CalibratableComponent[] aSwapComp = SwapInstrumentsFromMaturityTenor (
dtSpot,
strCurrency,
new java.lang.String[] {
"4Y", "5Y", "6Y", "7Y", "8Y", "9Y", "10Y", "11Y", "12Y", "15Y", "20Y", "25Y", "30Y", "40Y", "50Y"
},
adblSwapQuote
);
/*
* Construct a shape preserving and smoothing KLK Hyperbolic Spline from the cash/swap instruments.
*/
return ScenarioDiscountCurveBuilder.CubicKLKHyperbolicDFRateShapePreserver (
"KLK_HYPERBOLIC_SHAPE_TEMPLATE",
new ValuationParams (
dtSpot,
dtSpot,
strCurrency
),
aDepositComp,
adblDepositQuote,
astrDepositManifestMeasure,
aSwapComp,
adblSwapQuote,
astrSwapManifestMeasure,
true
);
}
public static final void main (
final String[] astrArgs)
throws Exception
{
/*
* Initialize the Credit Analytics Library
*/
EnvManager.InitEnv ("");
JulianDate dtToday = DateUtil.Today();
ValuationParams valParams = new ValuationParams (
dtToday,
dtToday,
"USD"
);
/*
* Construct the Discount Curve using its instruments and quotes
*/
MergedDiscountForwardCurve dc = MakeDC (
dtToday,
"USD"
);
JulianDate dtMaturity = dtToday.addTenor ("6M");
double dblStrike = 1.;
EuropeanCallPut option = new EuropeanCallPut (
dtMaturity,
dblStrike
);
double dblSpot = 1.;
double dblRho = 0.3;
double dblKappa = 1.;
double dblSigma = 0.5;
double dblTheta = 0.2;
double dblLambda = 0.;
double dblSpotVolatility = 0.2;
HestonOptionPricerParams fphp = new HestonOptionPricerParams (
HestonStochasticVolatilityAlgorithm.PAYOFF_TRANSFORM_SCHEME_HESTON_1993,
dblRho, // Rho
dblKappa, // Kappa
dblSigma, // Sigma
dblTheta, // Theta
dblLambda, // Lambda
PhaseAdjuster.MULTI_VALUE_BRANCH_POWER_PHASE_TRACKER_KAHL_JACKEL // Indicates Apply Phase Tracking Adjustment for Log + Power
);
FokkerPlanckGenerator fpg = new HestonStochasticVolatilityAlgorithm (
fphp // FP Heston Parameters
);
System.out.println ("---------------------------------------------------------");
System.out.println ("\t\t HESTON 1993 SPOT OPTION PRICING");
System.out.println ("---------------------------------------------------------");
System.out.println (
option.value (
valParams,
dblSpot,
false,
dc,
new FlatUnivariate (dblSpotVolatility),
fpg
)
);
System.out.println ("---------------------------------------------------------");
System.out.println ("\t\t HESTON 1993 FORWARD OPTION PRICING");
System.out.println ("---------------------------------------------------------");
System.out.println (
option.value (
valParams,
dblSpot,
true,
dc,
new FlatUnivariate (dblSpotVolatility),
fpg
)
);
System.out.println ("---------------------------------------------------------");
System.out.println ("\t\t BLACK SCHOLES SPOT OPTION PRICING");
System.out.println ("---------------------------------------------------------");
System.out.println (
option.value (
valParams,
dblSpot,
false,
dc,
new FlatUnivariate (dblSpotVolatility),
new BlackScholesAlgorithm()
)
);
System.out.println ("---------------------------------------------------------");
System.out.println ("\t\t BLACK '76 FORWARD OPTION PRICING");
System.out.println ("---------------------------------------------------------");
System.out.println (
option.value (
valParams,
dblSpot,
true,
dc,
new FlatUnivariate (dblSpotVolatility),
new BlackScholesAlgorithm()
)
);
}
}