StrongCurvatureEvolutionMetrics.java
package org.drip.sample.descentverifier;
import org.drip.function.rdtor1descent.LineStepEvolutionControl;
import org.drip.function.rdtor1solver.*;
import org.drip.measure.statistics.MultivariateMoments;
import org.drip.numerical.common.FormatUtil;
import org.drip.portfolioconstruction.allocator.*;
import org.drip.portfolioconstruction.params.AssetUniverseStatisticalProperties;
import org.drip.service.env.EnvManager;
/*
* -*- 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>StrongCurvatureEvolutionMetrics</i> demonstrates the Impact of applying the Strong Curvature Criterion
* on the Evolution of the R<sup>d</sup> Fixed Point of a Constrained Minimization Search.
*
* <br><br>
* <ul>
* <li><b>Module </b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/ComputationalCore.md">Computational Core Module</a></li>
* <li><b>Library</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/NumericalAnalysisLibrary.md">Numerical Analysis Library</a></li>
* <li><b>Project</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/src/main/java/org/drip/sample/README.md">DROP API Construction and Usage</a></li>
* <li><b>Package</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/src/main/java/org/drip/sample/descentverifier/README.md">Armijo/Wolfe Strong/Weak Curvature</a></li>
* </ul>
* <br><br>
*
* @author Lakshmi Krishnamurthy
*/
public class StrongCurvatureEvolutionMetrics
{
public static final void main (
final String[] argumentArray)
throws Exception
{
EnvManager.InitEnv (
""
);
FixedRdFinder.s_verifierIncrementBlog = true;
String[] assetNameArray = new String[]
{
"TOK",
"EWJ",
"HYG",
"LQD",
"EMD",
"GSG",
"BWX"
};
double[] assetLowerBoundArray = new double[]
{
0.05,
0.04,
0.06,
0.03,
0.03,
0.03,
0.13
};
double[] assetUpperBoundArray = new double[]
{
0.43,
0.27,
0.44,
0.32,
0.66,
0.32,
0.88
};
double[] assetExpectedReturnsArray = new double[]
{
0.1300,
0.0700,
0.0400,
0.0300,
0.0800,
0.1000,
0.0100
};
double portfolioDesignReturn = 0.06000;
double[][] assetReturnsCovarianceMatrix = new double[][]
{
{0.002733 * 12, 0.002083 * 12, 0.001593 * 12, 0.000488 * 12, 0.001172 * 12, 0.002312 * 12, 0.000710 * 12},
{0.002083 * 12, 0.002768 * 12, 0.001302 * 12, 0.000457 * 12, 0.001105 * 12, 0.001647 * 12, 0.000563 * 12},
{0.001593 * 12, 0.001302 * 12, 0.001463 * 12, 0.000639 * 12, 0.001050 * 12, 0.001110 * 12, 0.000519 * 12},
{0.000488 * 12, 0.000457 * 12, 0.000639 * 12, 0.000608 * 12, 0.000663 * 12, 0.000042 * 12, 0.000370 * 12},
{0.001172 * 12, 0.001105 * 12, 0.001050 * 12, 0.000663 * 12, 0.001389 * 12, 0.000825 * 12, 0.000661 * 12},
{0.002312 * 12, 0.001647 * 12, 0.001110 * 12, 0.000042 * 12, 0.000825 * 12, 0.005211 * 12, 0.000749 * 12},
{0.000710 * 12, 0.000563 * 12, 0.000519 * 12, 0.000370 * 12, 0.000661 * 12, 0.000749 * 12, 0.000703 * 12}
};
AssetUniverseStatisticalProperties assetUniverseStatisticalProperties =
AssetUniverseStatisticalProperties.FromMultivariateMetrics (
MultivariateMoments.Standard (
assetNameArray,
assetExpectedReturnsArray,
assetReturnsCovarianceMatrix
)
);
double[][] covarianceMatrix = assetUniverseStatisticalProperties.covariance (
assetNameArray
);
System.out.println ("\n\n\t|------------------------------------------------------------------------------------------------||");
System.out.println ("\t| CROSS ASSET COVARIANCE MATRIX ||");
System.out.println ("\t|------------------------------------------------------------------------------------------------||");
String header = "\t| |";
for (int assetNameIndex = 0;
assetNameIndex < assetNameArray.length;
++assetNameIndex)
{
header += " " + assetNameArray[assetNameIndex] + " |";
}
System.out.println (header + "|");
System.out.println ("\t|------------------------------------------------------------------------------------------------||");
for (int assetNameIndexI = 0;
assetNameIndexI < assetNameArray.length;
++assetNameIndexI)
{
String strDump = "\t| " + assetNameArray[assetNameIndexI] + " ";
for (int assetNameIndexJ = 0;
assetNameIndexJ < assetNameArray.length;
++assetNameIndexJ)
{
strDump += "|" + FormatUtil.FormatDouble (
covarianceMatrix[assetNameIndexI][assetNameIndexJ], 1, 8, 1.
) + " ";
}
System.out.println (strDump + "||");
}
System.out.println ("\t|------------------------------------------------------------------------------------------------||\n\n");
System.out.println ("\t|-------------------||");
System.out.println ("\t| ASSET BOUNDS ||");
System.out.println ("\t|-------------------||");
for (int assetNameIndex = 0;
assetNameIndex < assetNameArray.length;
++assetNameIndex)
{
System.out.println (
"\t| " + assetNameArray[assetNameIndex] + " | " +
FormatUtil.FormatDouble (assetLowerBoundArray[assetNameIndex], 2, 0, 100.) + "% | " +
FormatUtil.FormatDouble (assetUpperBoundArray[assetNameIndex], 2, 0, 100.) + "% ||"
);
}
System.out.println ("\t|-------------------||\n\n");
InteriorPointBarrierControl interiorPointBarrierControl = InteriorPointBarrierControl.Standard();
System.out.println ("\t|--------------------------------------------||");
System.out.println ("\t| INTERIOR POINT METHOD BARRIER PARAMETERS ||");
System.out.println ("\t|--------------------------------------------||");
System.out.println (
"\t| Barrier Decay Velocity : " + 1. / interiorPointBarrierControl.decayVelocity()
);
System.out.println (
"\t| Barrier Decay Steps : " + interiorPointBarrierControl.decayStepCount()
);
System.out.println (
"\t| Initial Barrier Strength : " + interiorPointBarrierControl.initialStrength()
);
System.out.println (
"\t| Barrier Convergence Tolerance : " + interiorPointBarrierControl.relativeTolerance()
);
System.out.println ("\t|--------------------------------------------||\n\n");
BoundedHoldingsAllocationControl boundedPortfolioConstructionParameters =
new BoundedHoldingsAllocationControl (
assetNameArray,
CustomRiskUtilitySettings.VarianceMinimizer(),
new EqualityConstraintSettings (
EqualityConstraintSettings.FULLY_INVESTED_CONSTRAINT |
EqualityConstraintSettings.RETURNS_CONSTRAINT,
portfolioDesignReturn
)
);
for (int assetNameIndex = 0;
assetNameIndex < assetNameArray.length;
++assetNameIndex)
{
boundedPortfolioConstructionParameters.addBound (
assetNameArray[assetNameIndex],
assetLowerBoundArray[assetNameIndex],
assetUpperBoundArray[assetNameIndex]
);
}
new ConstrainedMeanVarianceOptimizer (
interiorPointBarrierControl,
LineStepEvolutionControl.NocedalWrightStrongCurvature()
).allocate (
boundedPortfolioConstructionParameters,
assetUniverseStatisticalProperties
);
EnvManager.TerminateEnv();
}
}