EfficientTradingTrajectoryContinuous.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
* - 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>EfficientTradingTrajectoryContinuous</i> contains the Efficient Trading Trajectory generated by one of
* the Methods outlined in the Almgren (2003) Scheme for Continuous Trading Approximation. 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. F., and N. Chriss (2000): Optimal Execution of Portfolio Transactions <i>Journal of
* Risk</i> <b>3 (2)</b> 5-39
* </li>
* <li>
* Almgren, R. (2003): Optimal Execution with Nonlinear Impact Functions and Trading-Enhanced Risk
* <i>Applied Mathematical Finance</i> <b>10 (1)</b> 1-18
* </li>
* <li>
* Almgren, R., and N. Chriss (2003): Bidding Principles <i>Risk</i> 97-102
* </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>
* </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 EfficientTradingTrajectoryContinuous extends
org.drip.execution.strategy.ContinuousTradingTrajectory implements
org.drip.execution.optimum.EfficientTradingTrajectory {
private double _dblMarketPower = java.lang.Double.NaN;
private double _dblCharacteristicTime = java.lang.Double.NaN;
private double _dblTransactionCostVariance = java.lang.Double.NaN;
private double _dblTransactionCostExpectation = java.lang.Double.NaN;
/**
* EfficientTradingTrajectoryContinuous Constructor
*
* @param dblExecutionTime The Execution Time
* @param dblTransactionCostExpectation The Expected Transaction Cost
* @param dblTransactionCostVariance The Variance of the Transaction Cost
* @param dblCharacteristicTime The Optimal Trajectory's "Characteristic" Time
* @param dblMarketPower The Dimension-less Relative Market Impact
* @param r1ToR1Holdings The Optimal Trajectory R^1 To R^1 Holdings Function
* @param r1ToR1TradeRate The Optimal Trajectory R^1 To R^1 Trade Rate Function
* @param r1ToR1TransactionCostExpectation The Transaction Cost Expectation Function
* @param r1ToR1TransactionCostVariance The Transaction Cost Variance Function
*
* @throws java.lang.Exception Thrown if the Inputs are Invalid
*/
public EfficientTradingTrajectoryContinuous (
final double dblExecutionTime,
final double dblTransactionCostExpectation,
final double dblTransactionCostVariance,
final double dblCharacteristicTime,
final double dblMarketPower,
final org.drip.function.definition.R1ToR1 r1ToR1Holdings,
final org.drip.function.definition.R1ToR1 r1ToR1TradeRate,
final org.drip.function.definition.R1ToR1 r1ToR1TransactionCostExpectation,
final org.drip.function.definition.R1ToR1 r1ToR1TransactionCostVariance)
throws java.lang.Exception
{
super (dblExecutionTime, r1ToR1Holdings, r1ToR1TradeRate, r1ToR1TransactionCostExpectation,
r1ToR1TransactionCostVariance);
if (!org.drip.numerical.common.NumberUtil.IsValid (_dblTransactionCostExpectation =
dblTransactionCostExpectation) || !org.drip.numerical.common.NumberUtil.IsValid
(_dblTransactionCostVariance = dblTransactionCostVariance) ||
!org.drip.numerical.common.NumberUtil.IsValid (_dblCharacteristicTime =
dblCharacteristicTime))
throw new java.lang.Exception
("EfficientTradingTrajectoryContinuous Constructor => Invalid Inputs");
}
@Override public double marketPower()
{
return _dblMarketPower;
}
@Override public double transactionCostExpectation()
{
return _dblTransactionCostExpectation;
}
@Override public double transactionCostVariance()
{
return _dblTransactionCostVariance;
}
/**
* Retrieve the Optimal Trajectory Characteristic Time
*
* @return The Optimal Trajectory Characteristic Time
*/
public double characteristicTime()
{
return _dblCharacteristicTime;
}
/**
* Retrieve the Optimal Trajectory Urgency
*
* @return The Optimal Trajectory Urgency
*/
public double urgency()
{
return 0. == _dblCharacteristicTime ? 0. : 1. / _dblCharacteristicTime;
}
}