ImpactExponentAnalysis.java

package org.drip.sample.principal;

import org.drip.execution.dynamics.*;
import org.drip.execution.impact.*;
import org.drip.execution.nonadaptive.ContinuousPowerImpact;
import org.drip.execution.optimum.PowerImpactContinuous;
import org.drip.execution.parameters.*;
import org.drip.execution.principal.Almgren2003Estimator;
import org.drip.execution.profiletime.*;
import org.drip.function.r1tor1.FlatUnivariate;
import org.drip.numerical.common.FormatUtil;
import org.drip.service.env.EnvManager;

/*
 * -*- 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
 * 
 *  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.
 */

/**
 * ImpactExponentAnalysis demonstrates the Analysis of the Dependence of the Optimal Principal Measures on
 *  the Exponent of the Temporary Market Impact. The References are:
 * 
 *  - Almgren, R., and N. Chriss (1999): Value under Liquidation, Risk 12 (12).
 * 
 *  - Almgren, R., and N. Chriss (2000): Optimal Execution of Portfolio Transactions, Journal of Risk 3 (2)
 *      5-39.
 * 
 *  - Almgren, R. (2003): Optimal Execution with Nonlinear Impact Functions and Trading-Enhanced Risk,
 *      Applied Mathematical Finance 10 (1) 1-18.
 *
 *  - Almgren, R., and N. Chriss (2003): Bidding Principles, Risk 97-102.
 * 
 *  - Almgren, R., C. Thum, E. Hauptmann, and H. Li (2005): Equity Market Impact, Risk 18 (7) 57-62.
 * 
 * @author Lakshmi Krishnamurthy
 */

public class ImpactExponentAnalysis {

    public static final void main (
        final String[] astrArgs)
        throws Exception
    {
        EnvManager.InitEnv ("");

        double dblS0 = 50.;
        double dblX = 100000.;
        double dblVolatility = 1.;
        double dblDailyVolume = 1000000.;
        double dblDailyVolumeExecutionFactor = 0.1;
        double dblPermanentImpactFactor = 0.;
        double dblTemporaryImpactFactor = 0.01;
        double dblT = 5.;
        double dblLambda = 1.e-06;
        double dblPrincipalDiscount = 0.15;

        double[] adblK = new double[] {
            0.20,
            0.25,
            0.30,
            0.35,
            0.40,
            0.45,
            0.50,
            0.55,
            0.60,
            0.65,
            0.70,
            0.75,
            0.80,
            0.85,
            0.90,
            0.95,
            1.00,
            1.10,
            1.20,
            1.35,
            1.50
        };

        System.out.println();

        System.out.println ("\t|---------------------------------------------------------------------------||");

        System.out.println ("\t|                OPTIMAL MEASURES IMPACT EXPONENT DEPENDENCE                ||");

        System.out.println ("\t|---------------------------------------------------------------------------||");

        System.out.println ("\t|    L -> R:                                                                ||");

        System.out.println ("\t|            - Temporary Market Impact Exponent                             ||");

        System.out.println ("\t|            - Principal Discount                                           ||");

        System.out.println ("\t|            - Gross Profit Expectation                                     ||");

        System.out.println ("\t|            - Gross Profit Standard Deviation                              ||");

        System.out.println ("\t|            - Gross Returns Expectation                                    ||");

        System.out.println ("\t|            - Gross Returns Standard Deviation                             ||");

        System.out.println ("\t|            - Information Ratio                                            ||");

        System.out.println ("\t|            - Optimal Information Ratio                                    ||");

        System.out.println ("\t|            - Optimal Information Ratio Horizon                            ||");

        System.out.println ("\t|---------------------------------------------------------------------------||");

        for (double dblK : adblK) {
            PriceMarketImpactPower pmip = new PriceMarketImpactPower (
                new AssetTransactionSettings (
                    dblS0,
                    dblDailyVolume,
                    0.
                ),
                dblPermanentImpactFactor,
                dblTemporaryImpactFactor,
                dblDailyVolumeExecutionFactor,
                dblK
            );

            LinearPermanentExpectationParameters lpep = ArithmeticPriceEvolutionParametersBuilder.Almgren2003 (
                new ArithmeticPriceDynamicsSettings (
                    0.,
                    new FlatUnivariate (dblVolatility),
                    0.
                ),
                new UniformParticipationRateLinear ((ParticipationRateLinear) pmip.permanentTransactionFunction()),
                new UniformParticipationRate ((ParticipationRatePower) pmip.temporaryTransactionFunction())
            );

            ContinuousPowerImpact cpi = ContinuousPowerImpact.Standard (
                dblX,
                dblT,
                lpep,
                dblLambda
            );

            PowerImpactContinuous pic = (PowerImpactContinuous) cpi.generate();

            Almgren2003Estimator a2003e = new Almgren2003Estimator (
                pic,
                lpep
            );

            System.out.println (
                "\t|" +
                FormatUtil.FormatDouble (dblK, 1, 2, 1.) + " |" +
                FormatUtil.FormatDouble (a2003e.breakevenPrincipalDiscount(), 1, 2, 1.) + " | " +
                FormatUtil.FormatDouble (a2003e.principalMeasure (dblPrincipalDiscount).mean(), 5, 0, 1.) + " |" +
                FormatUtil.FormatDouble (Math.sqrt (a2003e.principalMeasure (dblPrincipalDiscount).variance()), 6, 0, 1.) + " |" +
                FormatUtil.FormatDouble (a2003e.horizonPrincipalMeasure (dblPrincipalDiscount).mean(), 5, 0, 1.) + " |" +
                FormatUtil.FormatDouble (Math.sqrt (a2003e.horizonPrincipalMeasure (dblPrincipalDiscount).variance()), 5, 0, 1.) + " | " +
                FormatUtil.FormatDouble (a2003e.informationRatio (dblPrincipalDiscount), 1, 4, 1.) + " |" +
                FormatUtil.FormatDouble (a2003e.optimalInformationRatio (dblPrincipalDiscount), 1, 4, 1.) + " |" +
                FormatUtil.FormatDouble (a2003e.optimalInformationRatioHorizon (dblPrincipalDiscount), 3, 2, 1.) + " ||"
            );
        }

        System.out.println ("\t|---------------------------------------------------------------------------||");
    }
}