AlmgrenChrissDriftDiscrete.java
package org.drip.execution.optimum;
/*
* -*- 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
*
* 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
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* - 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>AlmgrenChrissDriftDiscrete</i> contains the Trading Trajectory generated by the Almgren and Chriss
* (2000) Scheme under the Criterion of Non-zero Drift. The References are:
*
* <br><br>
* <ul>
* <li>
* Almgren, R., and N. Chriss (1999): Value under Liquidation <i>Risk</i> <b>12 (12)</b>
* </li>
* <li>
* Almgren, R., and N. Chriss (2000): Optimal Execution of Portfolio Transactions <i>Journal of
* Risk</i> <b>3 (2)</b> 5-39
* </li>
* <li>
* Bertsimas, D., and A. W. Lo (1998): Optimal Control of Execution Costs <i>Journal of Financial
* Markets</i> <b>1</b> 1-50
* </li>
* <li>
* Chan, L. K. C., and J. Lakonishak (1995): The Behavior of Stock Prices around Institutional
* Trades <i>Journal of Finance</i> <b>50</b> 1147-1174
* </li>
* <li>
* Keim, D. B., and A. Madhavan (1997): Transaction Costs and Investment Style: An Inter-exchange
* Analysis of Institutional Equity Trades <i>Journal of Financial Economics</i> <b>46</b>
* 265-292
* </li>
* </ul>
*
* <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/TransactionCostAnalyticsLibrary.md">Transaction Cost Analytics</a></li>
* <li><b>Project</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/src/main/java/org/drip/execution/README.md">Optimal Impact/Capture Based Trading Trajectories - Deterministic, Stochastic, Static, and Dynamic</a></li>
* <li><b>Package</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/src/main/java/org/drip/execution/optimum/README.md">Almgren-Chriss Efficient Trading Trajectories</a></li>
* </ul>
*
* @author Lakshmi Krishnamurthy
*/
public class AlmgrenChrissDriftDiscrete extends org.drip.execution.optimum.AlmgrenChrissDiscrete {
private double[] _adblHoldingsDriftAdjustment = null;
private double[] _adblTradeListDriftAdjustment = null;
private double _dblResidualHolding = java.lang.Double.NaN;
private double _dblDriftGainUpperBound = java.lang.Double.NaN;
/**
* AlmgrenChrissDriftDiscrete Constructor
*
* @param adblExecutionTimeNode Array containing the Trajectory Time Nodes
* @param adblHoldings Array containing the Holdings
* @param adblTradeList Array containing the Trade List
* @param adblHoldingsDriftAdjustment Array containing the Holdings Drift Adjustment
* @param adblTradeListDriftAdjustment Array containing the Trade List Drift Adjustment
* @param dblKappaTilda AC2000 Kappa-Tilda
* @param dblKappa AC2000 Kappa
* @param dblResidualHolding The Residual Holdings induced by the Drift
* @param dblDriftGainUpperBound The Upper Bound of the Gain induced by Drift
* @param dblTransactionCostExpectation The Expected Transaction Cost
* @param dblTransactionCostVariance The Variance of the Transaction Cost
* @param dblMarketPower Estimate of the Relative Market Impact Power
*
* @throws java.lang.Exception Thrown if the Inputs are Invalid
*/
public AlmgrenChrissDriftDiscrete (
final double[] adblExecutionTimeNode,
final double[] adblHoldings,
final double[] adblTradeList,
final double[] adblHoldingsDriftAdjustment,
final double[] adblTradeListDriftAdjustment,
final double dblKappaTilda,
final double dblKappa,
final double dblResidualHolding,
final double dblDriftGainUpperBound,
final double dblTransactionCostExpectation,
final double dblTransactionCostVariance,
final double dblMarketPower)
throws java.lang.Exception
{
super (adblExecutionTimeNode, adblHoldings, adblTradeList, dblKappaTilda, dblKappa,
dblTransactionCostExpectation, dblTransactionCostVariance, dblMarketPower);
if (null == (_adblHoldingsDriftAdjustment = adblHoldingsDriftAdjustment) || null ==
(_adblTradeListDriftAdjustment = adblTradeListDriftAdjustment) ||
!org.drip.numerical.common.NumberUtil.IsValid (_dblResidualHolding = dblResidualHolding) ||
!org.drip.numerical.common.NumberUtil.IsValid (_dblDriftGainUpperBound =
dblDriftGainUpperBound))
throw new java.lang.Exception ("AlmgrenChrissDriftDiscrete Constructor => Invalid Inputs");
int iNumNode = _adblHoldingsDriftAdjustment.length;
if (0 == iNumNode || iNumNode != _adblTradeListDriftAdjustment.length + 1)
throw new java.lang.Exception ("AlmgrenChrissDriftDiscrete Constructor => Invalid Inputs");
for (int i = 0; i < iNumNode; ++i) {
if (!org.drip.numerical.common.NumberUtil.IsValid (_adblHoldingsDriftAdjustment[i]))
throw new java.lang.Exception ("AlmgrenChrissDriftDiscrete Constructor => Invalid Inputs");
if (0 != i) {
if (!org.drip.numerical.common.NumberUtil.IsValid (_adblTradeListDriftAdjustment[i - 1]))
throw new java.lang.Exception
("AlmgrenChrissDriftDiscrete Constructor => Invalid Inputs");
}
}
}
/**
* Retrieve the Array of the Holdings Drift Adjustment
*
* @return The Array of the Holdings Drift Adjustment
*/
public double[] holdingsDriftAdjustment()
{
return _adblHoldingsDriftAdjustment;
}
/**
* Retrieve the Array of the Trade List Drift Adjustment
*
* @return The Array of the Trade List Drift Adjustment
*/
public double[] tradeListDriftAdjustment()
{
return _adblTradeListDriftAdjustment;
}
/**
* Retrieve the Residual Holdings induced by the Drift
*
* @return The Residual Holdings induced by the Drift
*/
public double residualHolding()
{
return _dblResidualHolding;
}
/**
* Retrieve the Gain Upper Bound induced by the Drift
*
* @return The Gain Upper Bound induced by the Drift
*/
public double driftGainUpperBound()
{
return _dblDriftGainUpperBound;
}
}