com.opengamma.analytics.financial.model.option.pricing.analytic.GramCharlierModel.java Source code

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Here is the source code for com.opengamma.analytics.financial.model.option.pricing.analytic.GramCharlierModel.java

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/**
 * Copyright (C) 2009 - present by OpenGamma Inc. and the OpenGamma group of companies
 * 
 * Please see distribution for license.
 */
package com.opengamma.analytics.financial.model.option.pricing.analytic;

import org.apache.commons.lang.Validate;

import com.opengamma.analytics.financial.model.option.definition.OptionDefinition;
import com.opengamma.analytics.financial.model.option.definition.SkewKurtosisOptionDataBundle;
import com.opengamma.analytics.math.function.Function1D;
import com.opengamma.analytics.math.statistics.distribution.NormalDistribution;
import com.opengamma.analytics.math.statistics.distribution.ProbabilityDistribution;

/**
 * 
 * 
 */
public class GramCharlierModel extends AnalyticOptionModel<OptionDefinition, SkewKurtosisOptionDataBundle> {
    private static final ProbabilityDistribution<Double> NORMAL = new NormalDistribution(0, 1);

    @Override
    public Function1D<SkewKurtosisOptionDataBundle, Double> getPricingFunction(final OptionDefinition definition) {
        Validate.notNull(definition);
        final Function1D<SkewKurtosisOptionDataBundle, Double> pricingFunction = new Function1D<SkewKurtosisOptionDataBundle, Double>() {

            @SuppressWarnings("synthetic-access")
            @Override
            public Double evaluate(final SkewKurtosisOptionDataBundle data) {
                Validate.notNull(data);
                final double s = data.getSpot();
                final double k = definition.getStrike();
                final double t = definition.getTimeToExpiry(data.getDate());
                final double b = data.getCostOfCarry();
                final double r = data.getInterestRate(t);
                final double sigma = data.getVolatility(t, k);
                final double sigmaT = sigma * Math.sqrt(t);
                final double d1 = getD1(s, k, t, sigma, b);
                final double d2 = getD2(d1, sigma, t);
                final double skew = data.getAnnualizedSkew();
                final double kurtosis = data.getAnnualizedPearsonKurtosis();
                final double correction = sigmaT * (skew * (2 * sigmaT - d1) / (6. * Math.sqrt(t))
                        - kurtosis * (1 - d1 * d1 + 3 * sigmaT * (d1 - sigmaT)) / (24 * t));
                final double df1 = Math.exp(-r * t);
                final double df2 = getDF(r, b, t);
                final double callPrice = s * df2 * (NORMAL.getCDF(d1) + NORMAL.getPDF(d1) * correction)
                        - k * df1 * NORMAL.getCDF(d2);
                if (!definition.isCall()) {
                    return callPrice + k * df1 - s * df2;
                }
                return callPrice;
            }
        };
        return pricingFunction;
    }
}