VasicekPopulationCentralMeasures.java
package org.drip.sample.ckls;
import org.drip.dynamics.meanreverting.R1VasicekStochasticEvolver;
import org.drip.dynamics.process.R1StochasticEvolver;
import org.drip.measure.statistics.PopulationCentralMeasures;
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) 2020 Lakshmi Krishnamurthy
* Copyright (C) 2019 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>VasicekPopulationCentralMeasures</i> illustrates the Aging of Population Central Measures, both
* Temporal and Steady-State, of an Evolving R<sup>1</sup> Vasiceck Process. The References are:
*
* <br><br>
* <ul>
* <li>
* Bogoliubov, N. N., and D. P. Sankevich (1994): N. N. Bogoliubov and Statistical Mechanics
* <i>Russian Mathematical Surveys</i> <b>49 (5)</b> 19-49
* </li>
* <li>
* Holubec, V., K. Kroy, and S. Steffenoni (2019): Physically Consistent Numerical Solver for
* Time-dependent Fokker-Planck Equations <i>Physical Review E</i> <b>99 (4)</b> 032117
* </li>
* <li>
* Kadanoff, L. P. (2000): <i>Statistical Physics: Statics, Dynamics, and Re-normalization</i>
* <b>World Scientific</b>
* </li>
* <li>
* Ottinger, H. C. (1996): <i>Stochastic Processes in Polymeric Fluids</i> <b>Springer-Verlag</b>
* Berlin-Heidelberg
* </li>
* <li>
* Wikipedia (2019): Fokker-Planck Equation
* https://en.wikipedia.org/wiki/Fokker%E2%80%93Planck_equation
* </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/FixedIncomeAnalyticsLibrary.md">Fixed Income Analytics</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/ckls/README.md">Analysis of CKLS Process Variants</a></li>
* </ul>
*
* @author Lakshmi Krishnamurthy
*/
public class VasicekPopulationCentralMeasures
{
private static final void TemporalCentralMeasures (
final double meanReversionSpeed,
final double meanReversionLevel,
final double volatility,
final double[] tArray)
throws Exception
{
R1StochasticEvolver r1StochasticEvolver = R1VasicekStochasticEvolver.Wiener (
meanReversionSpeed,
meanReversionLevel,
volatility,
0.01
);
java.lang.String dump = "\t| [" +
FormatUtil.FormatDouble (meanReversionSpeed, 1, 1, 1.) + "," +
FormatUtil.FormatDouble (meanReversionLevel, 1, 1, 1.) + "," +
FormatUtil.FormatDouble (volatility, 1, 1, 1.) + "] =>";
for (double t : tArray)
{
PopulationCentralMeasures populationCentralMeasures =
r1StochasticEvolver.temporalPopulationCentralMeasures (
meanReversionSpeed,
t
);
dump = dump + " {" + FormatUtil.FormatDouble (
populationCentralMeasures.mean(), 1, 4, 1.
) + " |" + FormatUtil.FormatDouble (
populationCentralMeasures.variance(), 1, 4, 1.
) + "}";
}
System.out.println (dump);
}
private static final void SteadyStateCentralMeasures (
final double meanReversionSpeed,
final double meanReversionLevel,
final double volatility)
throws Exception
{
PopulationCentralMeasures populationCentralMeasures = R1VasicekStochasticEvolver.Wiener (
meanReversionSpeed,
meanReversionLevel,
volatility,
0.01
).steadyStatePopulationCentralMeasures (
meanReversionSpeed
);
System.out.println (
"\t| [" + FormatUtil.FormatDouble (
meanReversionSpeed, 1, 1, 1.
) + "," + FormatUtil.FormatDouble (
meanReversionLevel, 1, 1, 1.
) + "," + FormatUtil.FormatDouble (
volatility, 1, 1, 1.
) + "] =>" + " {" + FormatUtil.FormatDouble (
populationCentralMeasures.mean(), 1, 4, 1.
) + " |" + FormatUtil.FormatDouble (
populationCentralMeasures.variance(), 1, 4, 1.
) + "}"
);
}
public static final void main (
final String[] argumentArray)
throws Exception
{
EnvManager.InitEnv (
""
);
double[] tArray =
{
1.0,
2.0,
3.0,
4.0,
5.0,
6.0,
7.0,
};
double[] volatilityArray =
{
0.5,
1.0,
1.5,
2.0,
2.5,
};
double[] meanReversionLevelArray =
{
0.5,
1.0,
1.5,
};
double[] meanReversionSpeedArray =
{
0.5,
1.0,
1.5,
2.0,
2.5,
};
System.out.println ("\t|---------------------------------------------------------------------------------------------------------------------------------------------------||");
System.out.println ("\t| ORNSTEIN-UHLENBECK FOKKER-PLANCK PDF TEMPORAL CENTRAL MEASURES ||");
System.out.println ("\t|---------------------------------------------------------------------------------------------------------------------------------------------------||");
System.out.println ("\t| L -> R: ||");
System.out.println ("\t| - Mean Reversion Level ||");
System.out.println ("\t| - Volatility ||");
System.out.println ("\t| - Row of PDF {Mean | Variance} Tuple over t ||");
System.out.println ("\t|---------------------------------------------------------------------------------------------------------------------------------------------------||");
for (double meanReversionSpeed : meanReversionSpeedArray)
{
for (double meanReversionLevel : meanReversionLevelArray)
{
for (double volatility : volatilityArray)
{
TemporalCentralMeasures (
meanReversionSpeed,
meanReversionLevel,
volatility,
tArray
);
}
}
}
System.out.println ("\t|---------------------------------------------------------------------------------------------------------------------------------------------------||");
System.out.println();
System.out.println ("\t|---------------------------------------------------------------------------------------------------------------------------------------------------||");
System.out.println ("\t| ORNSTEIN-UHLENBECK FOKKER-PLANCK PDF STEADY STATE CENTRAL MEASURES ||");
System.out.println ("\t|---------------------------------------------------------------------------------------------------------------------------------------------------||");
System.out.println ("\t| L -> R: ||");
System.out.println ("\t| - Mean Reversion Level ||");
System.out.println ("\t| - Volatility ||");
System.out.println ("\t| - PDF {Mean | Variance} Tuple ||");
System.out.println ("\t|---------------------------------------------------------------------------------------------------------------------------------------------------||");
for (double meanReversionSpeed : meanReversionSpeedArray)
{
for (double meanReversionLevel : meanReversionLevelArray)
{
for (double volatility : volatilityArray)
{
SteadyStateCentralMeasures (
meanReversionSpeed,
meanReversionLevel,
volatility
);
}
}
}
System.out.println ("\t|---------------------------------------------------------------------------------------------------------------------------------------------------||");
EnvManager.TerminateEnv();
}
}