CoordinatedVariationTrajectoryDeterminant.java

  1. package org.drip.execution.adaptive;

  2. /*
  3.  * -*- mode: java; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
  4.  */

  5. /*!
  6.  * Copyright (C) 2020 Lakshmi Krishnamurthy
  7.  * Copyright (C) 2019 Lakshmi Krishnamurthy
  8.  * Copyright (C) 2018 Lakshmi Krishnamurthy
  9.  * Copyright (C) 2017 Lakshmi Krishnamurthy
  10.  * Copyright (C) 2016 Lakshmi Krishnamurthy
  11.  *
  12.  *  This file is part of DROP, an open-source library targeting analytics/risk, transaction cost analytics,
  13.  *      asset liability management analytics, capital, exposure, and margin analytics, valuation adjustment
  14.  *      analytics, and portfolio construction analytics within and across fixed income, credit, commodity,
  15.  *      equity, FX, and structured products. It also includes auxiliary libraries for algorithm support,
  16.  *      numerical analysis, numerical optimization, spline builder, model validation, statistical learning,
  17.  *      and computational support.
  18.  *  
  19.  *      https://lakshmidrip.github.io/DROP/
  20.  *  
  21.  *  DROP is composed of three modules:
  22.  *  
  23.  *  - DROP Product Core - https://lakshmidrip.github.io/DROP-Product-Core/
  24.  *  - DROP Portfolio Core - https://lakshmidrip.github.io/DROP-Portfolio-Core/
  25.  *  - DROP Computational Core - https://lakshmidrip.github.io/DROP-Computational-Core/
  26.  *
  27.  *  DROP Product Core implements libraries for the following:
  28.  *  - Fixed Income Analytics
  29.  *  - Loan Analytics
  30.  *  - Transaction Cost Analytics
  31.  *
  32.  *  DROP Portfolio Core implements libraries for the following:
  33.  *  - Asset Allocation Analytics
  34.  *  - Asset Liability Management Analytics
  35.  *  - Capital Estimation Analytics
  36.  *  - Exposure Analytics
  37.  *  - Margin Analytics
  38.  *  - XVA Analytics
  39.  *
  40.  *  DROP Computational Core implements libraries for the following:
  41.  *  - Algorithm Support
  42.  *  - Computation Support
  43.  *  - Function Analysis
  44.  *  - Model Validation
  45.  *  - Numerical Analysis
  46.  *  - Numerical Optimizer
  47.  *  - Spline Builder
  48.  *  - Statistical Learning
  49.  *
  50.  *  Documentation for DROP is Spread Over:
  51.  *
  52.  *  - Main                     => https://lakshmidrip.github.io/DROP/
  53.  *  - Wiki                     => https://github.com/lakshmiDRIP/DROP/wiki
  54.  *  - GitHub                   => https://github.com/lakshmiDRIP/DROP
  55.  *  - Repo Layout Taxonomy     => https://github.com/lakshmiDRIP/DROP/blob/master/Taxonomy.md
  56.  *  - Javadoc                  => https://lakshmidrip.github.io/DROP/Javadoc/index.html
  57.  *  - Technical Specifications => https://github.com/lakshmiDRIP/DROP/tree/master/Docs/Internal
  58.  *  - Release Versions         => https://lakshmidrip.github.io/DROP/version.html
  59.  *  - Community Credits        => https://lakshmidrip.github.io/DROP/credits.html
  60.  *  - Issues Catalog           => https://github.com/lakshmiDRIP/DROP/issues
  61.  *  - JUnit                    => https://lakshmidrip.github.io/DROP/junit/index.html
  62.  *  - Jacoco                   => https://lakshmidrip.github.io/DROP/jacoco/index.html
  63.  *
  64.  *  Licensed under the Apache License, Version 2.0 (the "License");
  65.  *      you may not use this file except in compliance with the License.
  66.  *  
  67.  *  You may obtain a copy of the License at
  68.  *      http://www.apache.org/licenses/LICENSE-2.0
  69.  *  
  70.  *  Unless required by applicable law or agreed to in writing, software
  71.  *      distributed under the License is distributed on an "AS IS" BASIS,
  72.  *      WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
  73.  *  
  74.  *  See the License for the specific language governing permissions and
  75.  *      limitations under the License.
  76.  */

  77. /**
  78.  * <i>CoordinatedVariationTrajectoryDeterminant</i> contains the HJB-based MultiStep Optimal Cost Dynamic
  79.  * Trajectory Generation Metrics using the Coordinated Variation Version of the Stochastic Volatility and the
  80.  * Transaction Function arising from the Realization of the Market State Variable as described in the
  81.  * "Trading Time" Model. The References are:
  82.  *
  83.  *  <br><br>
  84.  *  <ul>
  85.  *      <li>
  86.  *          Almgren, R. F., and N. Chriss (2000): Optimal Execution of Portfolio Transactions <i>Journal of
  87.  *              Risk</i> <b>3 (2)</b> 5-39
  88.  *      </li>
  89.  *      <li>
  90.  *          Almgren, R. F. (2009): Optimal Trading in a Dynamic Market
  91.  *              https://www.math.nyu.edu/financial_mathematics/content/02_financial/2009-2.pdf
  92.  *      </li>
  93.  *      <li>
  94.  *          Almgren, R. F. (2012): Optimal Trading with Stochastic Liquidity and Volatility <i>SIAM Journal
  95.  *          of Financial Mathematics</i> <b>3 (1)</b> 163-181
  96.  *      </li>
  97.  *      <li>
  98.  *          Geman, H., D. B. Madan, and M. Yor (2001): Time Changes for Levy Processes <i>Mathematical
  99.  *              Finance</i> <b>11 (1)</b> 79-96
  100.  *      </li>
  101.  *      <li>
  102.  *          Jones, C. M., G. Kaul, and M. L. Lipson (1994): Transactions, Volume, and Volatility <i>Review of
  103.  *              Financial Studies</i> <b>7 (4)</b> 631-651
  104.  *      </li>
  105.  *  </ul>
  106.  *
  107.  *  <br><br>
  108.  *  <ul>
  109.  *      <li><b>Module </b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/ProductCore.md">Product Core Module</a></li>
  110.  *      <li><b>Library</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/TransactionCostAnalyticsLibrary.md">Transaction Cost Analytics</a></li>
  111.  *      <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>
  112.  *      <li><b>Package</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/src/main/java/org/drip/execution/adaptive/README.md">Coordinated Variation Based Adaptive Execution</a></li>
  113.  *  </ul>
  114.  *
  115.  * @author Lakshmi Krishnamurthy
  116.  */

  117. public class CoordinatedVariationTrajectoryDeterminant {
  118.     private double _dblOrderSize = java.lang.Double.NaN;
  119.     private double _dblCostScale = java.lang.Double.NaN;
  120.     private double _dblTimeScale = java.lang.Double.NaN;
  121.     private double _dblMarketPower = java.lang.Double.NaN;
  122.     private double _dblTradeRateScale = java.lang.Double.NaN;
  123.     private double _dblMeanMarketUrgency = java.lang.Double.NaN;
  124.     private double _dblNonDimensionalRiskAversion = java.lang.Double.NaN;

  125.     /**
  126.      * CoordinatedVariationTrajectoryDeterminant Constructor
  127.      *
  128.      * @param dblOrderSize The Order Size
  129.      * @param dblTimeScale The Time Scale
  130.      * @param dblCostScale The Cost Scale
  131.      * @param dblTradeRateScale The Trade Rate Scale
  132.      * @param dblMeanMarketUrgency The Mean Market Urgency
  133.      * @param dblNonDimensionalRiskAversion The Non Dimensional Risk Aversion Parameter
  134.      * @param dblMarketPower The Preference-free "Market Power" Parameter
  135.      *
  136.      * @throws java.lang.Exception Thrown if the the Inputs are Invalid
  137.      */

  138.     public CoordinatedVariationTrajectoryDeterminant (
  139.         final double dblOrderSize,
  140.         final double dblTimeScale,
  141.         final double dblCostScale,
  142.         final double dblTradeRateScale,
  143.         final double dblMeanMarketUrgency,
  144.         final double dblNonDimensionalRiskAversion,
  145.         final double dblMarketPower)
  146.         throws java.lang.Exception
  147.     {
  148.         if (!org.drip.numerical.common.NumberUtil.IsValid (_dblOrderSize = dblOrderSize) ||
  149.             !org.drip.numerical.common.NumberUtil.IsValid (_dblTimeScale = dblTimeScale) ||
  150.                 !org.drip.numerical.common.NumberUtil.IsValid (_dblCostScale = dblCostScale) ||
  151.                     !org.drip.numerical.common.NumberUtil.IsValid (_dblTradeRateScale = dblTradeRateScale) ||
  152.                         !org.drip.numerical.common.NumberUtil.IsValid (_dblMeanMarketUrgency =
  153.                             dblMeanMarketUrgency) || !org.drip.numerical.common.NumberUtil.IsValid
  154.                                 (_dblNonDimensionalRiskAversion = dblNonDimensionalRiskAversion) ||
  155.                                     !org.drip.numerical.common.NumberUtil.IsValid (_dblMarketPower =
  156.                                         dblMarketPower))
  157.             throw new java.lang.Exception
  158.                 ("CoordinatedVariationTrajectoryDeterminant Constructor => Invalid Inputs");
  159.     }

  160.     /**
  161.      * Retrieve the Order Size
  162.      *
  163.      * @return The Order Size
  164.      */

  165.     public double orderSize()
  166.     {
  167.         return _dblOrderSize;
  168.     }

  169.     /**
  170.      * Retrieve the Time Scale
  171.      *
  172.      * @return The Time Scale
  173.      */

  174.     public double timeScale()
  175.     {
  176.         return _dblTimeScale;
  177.     }

  178.     /**
  179.      * Retrieve the Cost Scale
  180.      *
  181.      * @return The Cost Scale
  182.      */

  183.     public double costScale()
  184.     {
  185.         return _dblCostScale;
  186.     }

  187.     /**
  188.      * Retrieve the Trade Rate Scale
  189.      *
  190.      * @return The Trade Rate Scale
  191.      */

  192.     public double tradeRateScale()
  193.     {
  194.         return _dblTradeRateScale;
  195.     }

  196.     /**
  197.      * Retrieve the Mean Market Urgency
  198.      *
  199.      * @return The Mean Market Urgency
  200.      */

  201.     public double meanMarketUrgency()
  202.     {
  203.         return _dblMeanMarketUrgency;
  204.     }

  205.     /**
  206.      * Retrieve the Non Dimensional Risk Aversion Parameter
  207.      *
  208.      * @return The Non Dimensional Risk Aversion Parameter
  209.      */

  210.     public double nonDimensionalRiskAversion()
  211.     {
  212.         return _dblNonDimensionalRiskAversion;
  213.     }

  214.     /**
  215.      * Retrieve the Preference-free "Market Power" Parameter
  216.      *
  217.      * @return The Preference-free "Market Power" Parameter
  218.      */

  219.     public double marketPower()
  220.     {
  221.         return _dblMarketPower;
  222.     }
  223. }