AdjustedVariationMarginDynamics.java
package org.drip.exposure.regressiontrade;
/*
* -*- 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
*
* 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>AdjustedVariationMarginDynamics</i> builds the Dynamics of the Sparse Path Adjusted Variation Margin.
* The References are:
*
* <br><br>
* <ul>
* <li>
* Andersen, L. B. G., M. Pykhtin, and A. Sokol (2017): Re-thinking Margin Period of Risk
* https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2902737 <b>eSSRN</b>
* </li>
* <li>
* Andersen, L. B. G., M. Pykhtin, and A. Sokol (2017): Credit Exposure in the Presence of
* Initial Margin https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2806156 <b>eSSRN</b>
* </li>
* <li>
* Albanese, C., and L. Andersen (2014): Accounting for OTC Derivatives: Funding Adjustments and
* the Re-Hypothecation Option https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2482955
* <b>eSSRN</b>
* </li>
* <li>
* Burgard, C., and M. Kjaer (2017): Derivatives Funding, Netting, and Accounting
* https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2534011 <b>eSSRN</b>
* </li>
* <li>
* Pykhtin, M. (2009): Modeling Counter-party Credit Exposure in the Presence of Margin
* Agreements http://www.risk-europe.com/protected/michael-pykhtin.pdf
* </li>
* </ul>
*
* <br><br>
* <ul>
* <li><b>Module </b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/PortfolioCore.md">Portfolio Core Module</a></li>
* <li><b>Library</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/ExposureAnalyticsLibrary.md">Exposure Analytics</a></li>
* <li><b>Project</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/src/main/java/org/drip/exposure/README.md">Exposure Group Level Collateralized/Uncollateralized Exposure</a></li>
* <li><b>Package</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/src/main/java/org/drip/exposure/regressiontrade/README.md">Exposure Regression under Margin and Trade Payments</a></li>
* </ul>
*
* @author Lakshmi Krishnamurthy
*/
public class AdjustedVariationMarginDynamics
{
private org.drip.exposure.regressiontrade.AdjustedVariationMarginEstimate[]
_pathAdjustedVariationMarginEstimate = null;
/**
* AdjustedVariationMarginDynamics Constructor
*
* @param pathAdjustedVariationMarginEstimate The Path-wise Adjusted Variation Margin Estimate Array
*
* @throws java.lang.Exception Thrown if the Inputs are Invalid
*/
public AdjustedVariationMarginDynamics (
final org.drip.exposure.regressiontrade.AdjustedVariationMarginEstimate[]
pathAdjustedVariationMarginEstimate)
throws java.lang.Exception
{
if (null == (_pathAdjustedVariationMarginEstimate = pathAdjustedVariationMarginEstimate))
{
throw new java.lang.Exception ("AdjustedVariationMarginDynamics Constructor");
}
int pathCount = _pathAdjustedVariationMarginEstimate.length;
if (0 == pathCount)
{
throw new java.lang.Exception ("AdjustedVariationMarginDynamics Constructor");
}
for (int pathIndex = 0; pathIndex < pathCount; ++pathIndex)
{
if (null == _pathAdjustedVariationMarginEstimate[pathIndex])
{
throw new java.lang.Exception ("AdjustedVariationMarginDynamics Constructor");
}
}
}
/**
* Retrieve the Adjusted Variation Margin Estimate Array
*
* @return The Adjusted Variation Margin Estimate Array
*/
public org.drip.exposure.regressiontrade.AdjustedVariationMarginEstimate[]
adjustedVariationMarginEstimateArray()
{
return _pathAdjustedVariationMarginEstimate;
}
/**
* Generate the Dynamics of the Sparse Pillar a.k.a Pykhtin (2009)
*
* @return The Pykhtin Pillar Dynamics Array
*/
public org.drip.exposure.regression.PykhtinPillarDynamics[] pillarDynamics()
{
int exposureDateCount =
_pathAdjustedVariationMarginEstimate[0].adjustedVariationMarginEstimateArray().length;
int pathCount = _pathAdjustedVariationMarginEstimate.length;
double[][] pathAdjustedVariationMargin = new double[exposureDateCount][pathCount];
org.drip.exposure.regression.PykhtinPillarDynamics[] pykhtinPillarDynamicsArray = new
org.drip.exposure.regression.PykhtinPillarDynamics[exposureDateCount];
for (int pathIndex = 0; pathIndex < pathCount; ++pathIndex)
{
double[] pathAdjustedVariationMarginEstimateArray =
_pathAdjustedVariationMarginEstimate[pathIndex].adjustedVariationMarginEstimateArray();
for (int exposureDateIndex = 0; exposureDateIndex < exposureDateCount; ++exposureDateIndex)
{
pathAdjustedVariationMargin[exposureDateIndex][pathIndex] =
pathAdjustedVariationMarginEstimateArray[exposureDateIndex];
}
}
for (int exposureDateIndex = 0; exposureDateIndex < exposureDateCount; ++exposureDateIndex)
{
if (null == (pykhtinPillarDynamicsArray[exposureDateIndex] =
org.drip.exposure.regression.PykhtinPillarDynamics.Standard
(pathAdjustedVariationMargin[exposureDateIndex])))
{
return null;
}
}
return pykhtinPillarDynamicsArray;
}
}