EuropeanCallPut.java
package org.drip.product.option;
/*
* -*- mode: java; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
*/
/*!
* Copyright (C) 2020 Lakshmi Krishnamurthy
* Copyright (C) 2019 Lakshmi Krishnamurthy
* 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 DROP, an open-source library targeting analytics/risk, transaction cost analytics,
* asset liability management analytics, capital, exposure, and margin analytics, valuation adjustment
* analytics, and portfolio construction analytics within and across fixed income, credit, commodity,
* equity, FX, and structured products. It also includes auxiliary libraries for algorithm support,
* numerical analysis, numerical optimization, spline builder, model validation, statistical learning,
* and computational support.
*
* https://lakshmidrip.github.io/DROP/
*
* DROP is composed of three modules:
*
* - DROP Product Core - https://lakshmidrip.github.io/DROP-Product-Core/
* - DROP Portfolio Core - https://lakshmidrip.github.io/DROP-Portfolio-Core/
* - DROP Computational Core - https://lakshmidrip.github.io/DROP-Computational-Core/
*
* DROP Product Core implements libraries for the following:
* - Fixed Income Analytics
* - Loan Analytics
* - Transaction Cost Analytics
*
* DROP Portfolio Core implements libraries for the following:
* - Asset Allocation Analytics
* - Asset Liability Management Analytics
* - Capital Estimation Analytics
* - Exposure Analytics
* - Margin Analytics
* - XVA Analytics
*
* DROP Computational Core implements libraries for the following:
* - Algorithm Support
* - Computation Support
* - Function Analysis
* - Model Validation
* - Numerical Analysis
* - Numerical Optimizer
* - Spline Builder
* - Statistical Learning
*
* Documentation for DROP is Spread Over:
*
* - Main => https://lakshmidrip.github.io/DROP/
* - Wiki => https://github.com/lakshmiDRIP/DROP/wiki
* - GitHub => https://github.com/lakshmiDRIP/DROP
* - Repo Layout Taxonomy => https://github.com/lakshmiDRIP/DROP/blob/master/Taxonomy.md
* - Javadoc => https://lakshmidrip.github.io/DROP/Javadoc/index.html
* - Technical Specifications => https://github.com/lakshmiDRIP/DROP/tree/master/Docs/Internal
* - Release Versions => https://lakshmidrip.github.io/DROP/version.html
* - Community Credits => https://lakshmidrip.github.io/DROP/credits.html
* - Issues Catalog => https://github.com/lakshmiDRIP/DROP/issues
* - JUnit => https://lakshmidrip.github.io/DROP/junit/index.html
* - Jacoco => https://lakshmidrip.github.io/DROP/jacoco/index.html
*
* 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.
*/
/**
* <i>EuropeanCallPut</i> implements a simple European Call/Put Option, and its Black Scholes Price.
*
* <br><br>
* <ul>
* <li><b>Module </b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/ProductCore.md">Product Core Module</a></li>
* <li><b>Library</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/FixedIncomeAnalyticsLibrary.md">Fixed Income Analytics</a></li>
* <li><b>Project</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/src/main/java/org/drip/product/README.md">Product Components/Baskets for Credit, FRA, FX, Govvie, Rates, and Option AssetClasses</a></li>
* <li><b>Package</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/src/main/java/org/drip/product/option/README.md">Options on Fixed Income Components</a></li>
* </ul>
* <br><br>
*
* @author Lakshmi Krishnamurthy
*/
public class EuropeanCallPut {
private double _dblStrike = java.lang.Double.NaN;
private org.drip.analytics.date.JulianDate _dtMaturity = null;
/**
* EuropeanCallPut constructor
*
* @param dtMaturity Option Maturity
* @param dblStrike Option Strike
*
* @throws java.lang.Exception Thrown if Inputs are Invalid
*/
public EuropeanCallPut (
final org.drip.analytics.date.JulianDate dtMaturity,
final double dblStrike)
throws java.lang.Exception
{
if (null == (_dtMaturity = dtMaturity) || !org.drip.numerical.common.NumberUtil.IsValid (_dblStrike =
dblStrike) || 0. >= _dblStrike)
throw new java.lang.Exception ("EuropeanCallPut ctr: Invalid Inputs");
}
/**
* Retrieve the Option Maturity
*
* @return The Option Maturity
*/
public org.drip.analytics.date.JulianDate maturity()
{
return _dtMaturity;
}
/**
* Retrieve the Option Strike
*
* @return The Option Strike
*/
public double strike()
{
return _dblStrike;
}
/**
* Generate the Measure Set for the Option
*
* @param valParams The Valuation Parameters
* @param dblUnderlier The Underlier
* @param bIsForward TRUE - The Underlier represents the Forward, FALSE - it represents Spot
* @param dc Discount Curve
* @param auVolatility The Option Volatility Function
* @param fpg The Fokker Planck-based Option Pricer
*
* @return The Map of the Measures
*/
public org.drip.analytics.support.CaseInsensitiveTreeMap<java.lang.Double> value (
final org.drip.param.valuation.ValuationParams valParams,
final double dblUnderlier,
final boolean bIsForward,
final org.drip.state.discount.MergedDiscountForwardCurve dc,
final org.drip.function.definition.R1ToR1 auVolatility,
final org.drip.pricer.option.FokkerPlanckGenerator fpg)
{
if (null == valParams || null == dc || null == auVolatility || null == fpg) return null;
int iValueDate = valParams.valueDate();
int iMaturityDate = _dtMaturity.julian();
if (iValueDate >= iMaturityDate) return null;
long lStartTime = System.nanoTime();
double dblRiskFreeRate = java.lang.Double.NaN;
double dblTTE = (iMaturityDate - iValueDate) / 365.25;
double dblImpliedPutVolatility = java.lang.Double.NaN;
double dblImpliedCallVolatility = java.lang.Double.NaN;
double dblTimeAveragedVolatility = java.lang.Double.NaN;
double dblBlackScholesPutVolatility = java.lang.Double.NaN;
double dblBlackScholesCallVolatility = java.lang.Double.NaN;
try {
dblRiskFreeRate = dc.zero (iMaturityDate);
dblTimeAveragedVolatility = auVolatility.integrate (iValueDate, iMaturityDate) / (iMaturityDate -
iValueDate);
} catch (java.lang.Exception e) {
e.printStackTrace();
return null;
}
org.drip.pricer.option.Greeks callGreeks = fpg.greeks (_dblStrike, dblTTE, dblRiskFreeRate,
dblUnderlier, false, bIsForward, dblTimeAveragedVolatility);
org.drip.pricer.option.PutGreeks putGreeks = (org.drip.pricer.option.PutGreeks) fpg.greeks
(_dblStrike, dblTTE, dblRiskFreeRate, dblUnderlier, true, bIsForward, dblTimeAveragedVolatility);
if (null == callGreeks || null == putGreeks) return null;
double dblCallPrice = callGreeks.price();
double dblPutPrice = putGreeks.price();
try {
dblBlackScholesCallVolatility = fpg.impliedBlackScholesVolatility (_dblStrike, dblTTE,
dblRiskFreeRate, dblUnderlier, false, bIsForward, dblCallPrice);
dblBlackScholesPutVolatility = fpg.impliedBlackScholesVolatility (_dblStrike, dblTTE,
dblRiskFreeRate, dblUnderlier, true, bIsForward, dblPutPrice);
dblImpliedCallVolatility = fpg.impliedVolatilityFromPrice (_dblStrike, dblTTE, dblRiskFreeRate,
dblUnderlier, false, bIsForward, dblCallPrice);
dblImpliedPutVolatility = fpg.impliedVolatilityFromPrice (_dblStrike, dblTTE, dblRiskFreeRate,
dblUnderlier, true, bIsForward, dblPutPrice);
} catch (java.lang.Exception e) {
e.printStackTrace();
return null;
}
org.drip.analytics.support.CaseInsensitiveTreeMap<java.lang.Double> mapMeasure = new
org.drip.analytics.support.CaseInsensitiveTreeMap<java.lang.Double>();
mapMeasure.put ("BlackScholesCallVolatility", dblBlackScholesCallVolatility);
mapMeasure.put ("BlackScholesPutVolatility", dblBlackScholesPutVolatility);
mapMeasure.put ("CalcTime", (System.nanoTime() - lStartTime) * 1.e-09);
mapMeasure.put ("CallCharm", callGreeks.charm());
mapMeasure.put ("CallColor", callGreeks.color());
mapMeasure.put ("CallDelta", callGreeks.delta());
mapMeasure.put ("CallGamma", callGreeks.gamma());
mapMeasure.put ("CallPrice", callGreeks.price());
mapMeasure.put ("CallProb1", callGreeks.prob1());
mapMeasure.put ("CallProb2", callGreeks.prob2());
mapMeasure.put ("CallRho", callGreeks.rho());
mapMeasure.put ("CallSpeed", callGreeks.speed());
mapMeasure.put ("CallTheta", callGreeks.theta());
mapMeasure.put ("CallUltima", callGreeks.ultima());
mapMeasure.put ("CallVanna", callGreeks.vanna());
mapMeasure.put ("CallVega", callGreeks.vega());
mapMeasure.put ("CallVeta", callGreeks.veta());
mapMeasure.put ("CallVomma", callGreeks.vomma());
mapMeasure.put ("DF", callGreeks.df());
mapMeasure.put ("EffectiveVolatility", callGreeks.effectiveVolatility());
mapMeasure.put ("ImpliedCallVolatility", dblImpliedCallVolatility);
mapMeasure.put ("ImpliedPutVolatility", dblImpliedPutVolatility);
mapMeasure.put ("PutCharm", putGreeks.charm());
mapMeasure.put ("PutColor", putGreeks.color());
mapMeasure.put ("PutDelta", putGreeks.delta());
mapMeasure.put ("PutGamma", putGreeks.gamma());
mapMeasure.put ("PutPrice", putGreeks.price());
mapMeasure.put ("PutPriceFromParity", putGreeks.putPriceFromParity());
mapMeasure.put ("PutProb1", putGreeks.prob1());
mapMeasure.put ("PutProb2", putGreeks.prob2());
mapMeasure.put ("PutRho", putGreeks.rho());
mapMeasure.put ("PutSpeed", putGreeks.speed());
mapMeasure.put ("PutTheta", putGreeks.theta());
mapMeasure.put ("PutUltima", putGreeks.ultima());
mapMeasure.put ("PutVanna", putGreeks.vanna());
mapMeasure.put ("PutVega", putGreeks.vega());
mapMeasure.put ("PutVeta", putGreeks.veta());
mapMeasure.put ("PutVomma", putGreeks.vomma());
mapMeasure.put ("TTE", dblTTE);
return mapMeasure;
}
/**
* Imply the Option Volatility given the Call Price
*
* @param valParams The Valuation Parameters
* @param dblUnderlier The Underlier
* @param bIsForward TRUE - The Underlier represents the Forward, FALSE - it represents Spot
* @param dc Discount Curve
* @param dblCallPrice The Option Call Price
*
* @return The Option's Implied Volatility
*
* @throws java.lang.Exception Thrown if Inputs are Invalid
*/
public double implyVolatilityFromCallPrice (
final org.drip.param.valuation.ValuationParams valParams,
final double dblUnderlier,
final boolean bIsForward,
final org.drip.state.discount.MergedDiscountForwardCurve dc,
final double dblCallPrice)
throws java.lang.Exception
{
if (null == valParams || null == dc)
throw new java.lang.Exception ("EuropeanCallPut::implyVolatilityFromCallPrice => Invalid Inputs");
int iValueDate = valParams.valueDate();
int iMaturityDate = _dtMaturity.julian();
if (iValueDate >= iMaturityDate)
throw new java.lang.Exception ("EuropeanCallPut::implyVolatilityFromCallPrice => Invalid Inputs");
double dblTTE = 1. * (iMaturityDate - iValueDate) / 365.25;
return new org.drip.pricer.option.BlackScholesAlgorithm().impliedVolatilityFromPrice (_dblStrike,
dblTTE, dc.zero (iMaturityDate), dblUnderlier, false, bIsForward, dblCallPrice);
}
/**
* Imply the Option Volatility given the Put Price
*
* @param valParams The Valuation Parameters
* @param dblUnderlier The Underlier
* @param bIsForward TRUE - The Underlier represents the Forward, FALSE - it represents Spot
* @param dc Discount Curve
* @param dblPutPrice The Option Put Price
*
* @return The Option's Implied Volatility
*
* @throws java.lang.Exception Thrown if Inputs are Invalid
*/
public double implyVolatilityFromPutPrice (
final org.drip.param.valuation.ValuationParams valParams,
final double dblUnderlier,
final boolean bIsForward,
final org.drip.state.discount.MergedDiscountForwardCurve dc,
final double dblPutPrice)
throws java.lang.Exception
{
if (null == valParams || null == dc)
throw new java.lang.Exception ("EuropeanCallPut::implyVolatilityFromPutPrice => Invalid Inputs");
int iValueDate = valParams.valueDate();
int iMaturityDate = _dtMaturity.julian();
if (iValueDate >= iMaturityDate)
throw new java.lang.Exception ("EuropeanCallPut::implyVolatilityFromPutPrice => Invalid Inputs");
double dblTTE = 1. * (iMaturityDate - iValueDate) / 365.25;
return new org.drip.pricer.option.BlackScholesAlgorithm().impliedVolatilityFromPrice (_dblStrike,
dblTTE, dc.zero (iMaturityDate), dblUnderlier, true, bIsForward, dblPutPrice);
}
/**
* Retrieve the Set of the Measure Names
*
* @return The Set of the Measure Names
*/
public java.util.Set<java.lang.String> getMeasureNames()
{
java.util.Set<java.lang.String> setstrMeasureNames = new java.util.TreeSet<java.lang.String>();
setstrMeasureNames.add ("BlackScholesCallVolatility");
setstrMeasureNames.add ("BlackScholesPutVolatility");
setstrMeasureNames.add ("CalcTime");
setstrMeasureNames.add ("CallCharm");
setstrMeasureNames.add ("CallColor");
setstrMeasureNames.add ("CallDelta");
setstrMeasureNames.add ("CallGamma");
setstrMeasureNames.add ("CallPrice");
setstrMeasureNames.add ("CallProb1");
setstrMeasureNames.add ("CallProb2");
setstrMeasureNames.add ("CallRho");
setstrMeasureNames.add ("CallSpeed");
setstrMeasureNames.add ("CallTheta");
setstrMeasureNames.add ("CallUltima");
setstrMeasureNames.add ("CallVanna");
setstrMeasureNames.add ("CallVega");
setstrMeasureNames.add ("CallVeta");
setstrMeasureNames.add ("CallVomma");
setstrMeasureNames.add ("DF");
setstrMeasureNames.add ("EffectiveVolatility");
setstrMeasureNames.add ("ImpliedCallVolatility");
setstrMeasureNames.add ("ImpliedPutVolatility");
setstrMeasureNames.add ("PutCharm");
setstrMeasureNames.add ("PutColor");
setstrMeasureNames.add ("PutDelta");
setstrMeasureNames.add ("PutGamma");
setstrMeasureNames.add ("PutPrice");
setstrMeasureNames.add ("PutPriceFromParity");
setstrMeasureNames.add ("PutProb1");
setstrMeasureNames.add ("PutProb2");
setstrMeasureNames.add ("PutRho");
setstrMeasureNames.add ("PutSpeed");
setstrMeasureNames.add ("PutTheta");
setstrMeasureNames.add ("PutUltima");
setstrMeasureNames.add ("PutVanna");
setstrMeasureNames.add ("PutVega");
setstrMeasureNames.add ("PutVeta");
setstrMeasureNames.add ("PutVomma");
setstrMeasureNames.add ("TTE");
return setstrMeasureNames;
}
}