/**
* Copyright (C) 2011 - present by OpenGamma Inc. and the OpenGamma group of companies
*
* Please see distribution for license.
*/
package com.opengamma.analytics.financial.interestrate;
import static org.testng.AssertJUnit.assertEquals;
import static org.testng.AssertJUnit.assertTrue;
import java.util.Map;
import org.testng.annotations.Test;
import com.opengamma.analytics.financial.model.option.definition.SABRInterestRateParameters;
import com.opengamma.analytics.financial.provider.description.SABRDataSets;
import com.opengamma.analytics.math.interpolation.data.Interpolator1DDataBundle;
import com.opengamma.analytics.util.amount.SurfaceValue;
import com.opengamma.util.tuple.DoublesPair;
/**
* Tests the distribution of a given SABR sensitivity to the nodes. *
*/
public class SABRSensitivityNodeCalculatorTest {
private static final SABRInterestRateParameters SABR_PARAMETERS = SABRDataSets.createSABR2();
private static final double TOLERANCE = 1.0E-10;
@Test
/**
* Test for a sensitivity with only one sensitivity point.
*/
public void onePoint() {
final DoublesPair point = new DoublesPair(1.25, 4.0);
final double alphaValue = 12345.0;
final SurfaceValue alpha = SurfaceValue.from(point, alphaValue);
final double betaValue = 4321.0;
final SurfaceValue beta = SurfaceValue.from(point, betaValue);
final double rhoValue = 2345.0;
final SurfaceValue rho = SurfaceValue.from(point, 2345.0);
final double nuValue = 345.0;
final SurfaceValue nu = SurfaceValue.from(point, 345.0);
final PresentValueSABRSensitivityDataBundle onePoint = new PresentValueSABRSensitivityDataBundle(alpha, beta, rho, nu);
final PresentValueSABRSensitivityDataBundle node = SABRSensitivityNodeCalculator.calculateNodeSensitivities(onePoint, SABR_PARAMETERS);
final DoublesPair[] nodeExpected = new DoublesPair[4];
nodeExpected[0] = new DoublesPair(1.0, 2.0);
nodeExpected[1] = new DoublesPair(1.0, 5.0);
nodeExpected[2] = new DoublesPair(5.0, 2.0);
nodeExpected[3] = new DoublesPair(5.0, 5.0);
for (int loopnode = 0; loopnode < 4; loopnode++) {
assertTrue("SABR Node calculator " + loopnode, node.getAlpha().getMap().get(nodeExpected[loopnode]) != null);
assertTrue("SABR Node calculator", Math.abs(node.getAlpha().getMap().get(nodeExpected[loopnode])) > TOLERANCE);
}
final Map<Double, Interpolator1DDataBundle> alphaData = (Map<Double, Interpolator1DDataBundle>) SABR_PARAMETERS.getAlphaSurface().getInterpolatorData();
final Map<DoublesPair, Double> weight = SABR_PARAMETERS.getAlphaSurface().getInterpolator().getNodeSensitivitiesForValue(alphaData, point);
for (int loopnode = 0; loopnode < 4; loopnode++) {
assertEquals("SABR Node calculator " + loopnode, node.getAlpha().getMap().get(nodeExpected[loopnode]), weight.get(nodeExpected[loopnode]) * alphaValue, TOLERANCE);
assertEquals("SABR Node calculator " + loopnode, node.getRho().getMap().get(nodeExpected[loopnode]), weight.get(nodeExpected[loopnode]) * rhoValue, TOLERANCE);
assertEquals("SABR Node calculator " + loopnode, node.getNu().getMap().get(nodeExpected[loopnode]), weight.get(nodeExpected[loopnode]) * nuValue, TOLERANCE);
}
}
@Test
/**
* Test with a sensitivity with only one sensitivity point not in the center.
*/
public void onePointBorder() {
final DoublesPair point = new DoublesPair(1.25, 1.5);
final double alphaValue = 12345.0;
final SurfaceValue alpha = SurfaceValue.from(point, alphaValue);
final double betaValue = 4321.0;
final SurfaceValue beta = SurfaceValue.from(point, betaValue);
final double rhoValue = 2345.6;
final SurfaceValue rho = SurfaceValue.from(point, rhoValue);
final double nuValue = 345.67;
final SurfaceValue nu = SurfaceValue.from(point, nuValue);
final PresentValueSABRSensitivityDataBundle onePoint = new PresentValueSABRSensitivityDataBundle(alpha, beta, rho, nu);
final PresentValueSABRSensitivityDataBundle node = SABRSensitivityNodeCalculator.calculateNodeSensitivities(onePoint, SABR_PARAMETERS);
final DoublesPair[] nodeExpected = new DoublesPair[4];
nodeExpected[0] = new DoublesPair(1.0, 1.0);
nodeExpected[1] = new DoublesPair(1.0, 2.0);
nodeExpected[2] = new DoublesPair(5.0, 2.0);
for (int loopnode = 0; loopnode < 3; loopnode++) {
assertTrue("SABR Node calculator " + loopnode, node.getAlpha().getMap().get(nodeExpected[loopnode]) != null);
assertTrue("SABR Node calculator", Math.abs(node.getAlpha().getMap().get(nodeExpected[loopnode])) > TOLERANCE);
}
final Map<Double, Interpolator1DDataBundle> alphaData = (Map<Double, Interpolator1DDataBundle>) SABR_PARAMETERS.getAlphaSurface().getInterpolatorData();
final Map<DoublesPair, Double> weight = SABR_PARAMETERS.getAlphaSurface().getInterpolator().getNodeSensitivitiesForValue(alphaData, point);
for (int loopnode = 0; loopnode < 3; loopnode++) {
assertEquals("SABR Node calculator " + loopnode, node.getAlpha().getMap().get(nodeExpected[loopnode]), weight.get(nodeExpected[loopnode]) * alphaValue, TOLERANCE);
assertEquals("SABR Node calculator " + loopnode, node.getRho().getMap().get(nodeExpected[loopnode]), weight.get(nodeExpected[loopnode]) * rhoValue, TOLERANCE);
assertEquals("SABR Node calculator " + loopnode, node.getNu().getMap().get(nodeExpected[loopnode]), weight.get(nodeExpected[loopnode]) * nuValue, TOLERANCE);
}
}
@Test
/**
* Test for a sensitivity with two sensitivity points.
*/
public void twoPoints() {
final DoublesPair point1 = new DoublesPair(1.25, 4.0);
final SurfaceValue alpha1 = SurfaceValue.from(point1, 12345.0);
final SurfaceValue beta1 = SurfaceValue.from(point1, 4321.0);
final SurfaceValue rho1 = SurfaceValue.from(point1, 2345.6);
final SurfaceValue nu1 = SurfaceValue.from(point1, 345.67);
final DoublesPair point2 = new DoublesPair(5.5, 9.0);
final SurfaceValue alpha2 = SurfaceValue.from(point2, 2345.0);
final SurfaceValue beta2 = SurfaceValue.from(point2, 5432.0);
final SurfaceValue rho2 = SurfaceValue.from(point2, 345.6);
final SurfaceValue nu2 = SurfaceValue.from(point2, 45.67);
final PresentValueSABRSensitivityDataBundle onePoint1 = new PresentValueSABRSensitivityDataBundle(alpha1, beta1, rho1, nu1);
final PresentValueSABRSensitivityDataBundle onePoint2 = new PresentValueSABRSensitivityDataBundle(alpha2, beta2, rho2, nu2);
final PresentValueSABRSensitivityDataBundle twoPoints = onePoint1.plus(onePoint2);
final PresentValueSABRSensitivityDataBundle node1 = SABRSensitivityNodeCalculator.calculateNodeSensitivities(onePoint1, SABR_PARAMETERS);
final PresentValueSABRSensitivityDataBundle node2 = SABRSensitivityNodeCalculator.calculateNodeSensitivities(onePoint2, SABR_PARAMETERS);
final PresentValueSABRSensitivityDataBundle nodeSum = SABRSensitivityNodeCalculator.calculateNodeSensitivities(twoPoints, SABR_PARAMETERS);
assertEquals("SABR Node calculator", node1.plus(node2), nodeSum);
}
}