Package com.opengamma.analytics.financial.model.option.pricing.analytic.formula

Examples of com.opengamma.analytics.financial.model.option.pricing.analytic.formula.BlackPriceFunction

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    final double pvbp = METHOD_SWAP.getAnnuityCash(swaption.getUnderlyingSwap(), forward);
    // Derivative of the cash annuity with respect to the forward.
    final double pvbpDf = METHOD_SWAP.getAnnuityCashDerivative(swaption.getUnderlyingSwap(), forward);
    // Implementation note: strictly speaking, the strike equivalent is curve dependent; that dependency is ignored.
    final double maturity = annuityFixed.getNthPayment(annuityFixed.getNumberOfPayments() - 1).getPaymentTime() - swaption.getSettlementTime();
    final BlackPriceFunction blackFunction = new BlackPriceFunction();
    final double[] volatilityAdjoint = sabrData.getSABRParameter().getVolatilityAdjoint(swaption.getTimeToExpiry(), maturity, swaption.getStrike(), forward);
    final double discountFactorSettle = multicurves.getDiscountFactor(ccy, swaption.getSettlementTime());
    final BlackFunctionData dataBlack = new BlackFunctionData(forward, 1.0, volatilityAdjoint[0]);
    final double[] bsAdjoint = blackFunction.getPriceAdjoint(swaption, dataBlack);
    final double sensiDF = -swaption.getSettlementTime() * discountFactorSettle * pvbp * bsAdjoint[0];
    final List<DoublesPair> list = new ArrayList<>();
    list.add(new DoublesPair(swaption.getSettlementTime(), sensiDF));
    final Map<String, List<DoublesPair>> resultMap = new HashMap<>();
    resultMap.put(multicurves.getName(ccy), list);
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    final AnnuityCouponFixed annuityFixed = swaption.getUnderlyingSwap().getFixedLeg();
    final double forward = swaption.getUnderlyingSwap().accept(PRDC, multicurves);
    final double pvbp = METHOD_SWAP.getAnnuityCash(swaption.getUnderlyingSwap(), forward);
    final double maturity = annuityFixed.getNthPayment(annuityFixed.getNumberOfPayments() - 1).getPaymentTime() - swaption.getSettlementTime();
    final DoublesPair expiryMaturity = new DoublesPair(swaption.getTimeToExpiry(), maturity);
    final BlackPriceFunction blackFunction = new BlackPriceFunction();
    final double[] volatilityAdjoint = sabrData.getSABRParameter().getVolatilityAdjoint(swaption.getTimeToExpiry(), maturity, swaption.getStrike(), forward);
    final BlackFunctionData dataBlack = new BlackFunctionData(forward, 1.0, volatilityAdjoint[0]);
    final double[] bsAdjoint = blackFunction.getPriceAdjoint(swaption, dataBlack);
    final double discountFactorSettle = multicurves.getDiscountFactor(ccy, swaption.getSettlementTime());
    final double omega = (swaption.isLong() ? 1.0 : -1.0);
    sensi.addAlpha(expiryMaturity, omega * discountFactorSettle * pvbp * bsAdjoint[2] * volatilityAdjoint[3]);
    sensi.addBeta(expiryMaturity, omega * discountFactorSettle * pvbp * bsAdjoint[2] * volatilityAdjoint[4]);
    sensi.addRho(expiryMaturity, omega * discountFactorSettle * pvbp * bsAdjoint[2] * volatilityAdjoint[5]);
 
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    final double forwardModified = PRC.visitFixedCouponSwap(swaption.getUnderlyingSwap(), fixedLegDayCount, curveBlack, calendar);
    final double strikeModified = METHOD_SWAP.couponEquivalent(swaption.getUnderlyingSwap(), pvbpModified, curveBlack);
    final double maturity = swaption.getMaturityTime();
    final EuropeanVanillaOption option = new EuropeanVanillaOption(strikeModified, swaption.getTimeToExpiry(), swaption.isCall());
    // Implementation note: option required to pass the strike (in case the swap has non-constant coupon).
    final BlackPriceFunction blackFunction = new BlackPriceFunction();
    final double volatility = curveBlack.getBlackParameters().getVolatility(swaption.getTimeToExpiry(), maturity);
    final BlackFunctionData dataBlack = new BlackFunctionData(forwardModified, pvbpModified, volatility);
    final Function1D<BlackFunctionData, Double> func = blackFunction.getPriceFunction(option);
    final double pv = func.evaluate(dataBlack) * (swaption.isLong() ? 1.0 : -1.0);
    return CurrencyAmount.of(swaption.getCurrency(), pv);
  }
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    final InterestRateCurveSensitivity pvbpModifiedDr = METHOD_SWAP.presentValueBasisPointCurveSensitivity(swaption.getUnderlyingSwap(), dayCountModification, calendar, curveBlack);
    final InterestRateCurveSensitivity forwardModifiedDr = new InterestRateCurveSensitivity(PRSC.visitFixedCouponSwap(swaption.getUnderlyingSwap(), dayCountModification, curveBlack));
    // Implementation note: strictly speaking, the strike equivalent is curve dependent; that dependency is ignored.
    final EuropeanVanillaOption option = new EuropeanVanillaOption(strikeModified, swaption.getTimeToExpiry(), swaption.isCall());
    // Implementation note: option required to pass the strike (in case the swap has non-constant coupon).
    final BlackPriceFunction blackFunction = new BlackPriceFunction();
    final double volatility = curveBlack.getBlackParameters().getVolatility(swaption.getTimeToExpiry(), maturity);
    final BlackFunctionData dataBlack = new BlackFunctionData(forwardModified, 1.0, volatility);
    final double[] bsAdjoint = blackFunction.getPriceAdjoint(option, dataBlack);
    InterestRateCurveSensitivity result = pvbpModifiedDr.multipliedBy(bsAdjoint[0]);
    result = result.plus(forwardModifiedDr.multipliedBy(pvbpModified * bsAdjoint[1]));
    if (!swaption.isLong()) {
      result = result.multipliedBy(-1);
    }
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    final double strikeModified = METHOD_SWAP.couponEquivalent(swaption.getUnderlyingSwap(), pvbpModified, curveBlack);
    final double maturity = swaption.getMaturityTime();
    final EuropeanVanillaOption option = new EuropeanVanillaOption(strikeModified, swaption.getTimeToExpiry(), swaption.isCall());
    // Implementation note: option required to pass the strike (in case the swap has non-constant coupon).
    final DoublesPair point = new DoublesPair(swaption.getTimeToExpiry(), maturity);
    final BlackPriceFunction blackFunction = new BlackPriceFunction();
    final double volatility = curveBlack.getBlackParameters().getVolatility(point);
    final BlackFunctionData dataBlack = new BlackFunctionData(forwardModified, 1.0, volatility);
    final double[] bsAdjoint = blackFunction.getPriceAdjoint(option, dataBlack);
    final Map<DoublesPair, Double> sensitivity = new HashMap<>();
    sensitivity.put(point, bsAdjoint[2] * pvbpModified * (swaption.isLong() ? 1.0 : -1.0));
    return new PresentValueBlackSwaptionSensitivity(sensitivity, curveBlack.getBlackParameters().getGeneratorSwap());
  }
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    final double forwardModified = METHOD_SWAP.forwardSwapSpreadModified(swaption.getUnderlyingSwap(), pvbpModified, multicurves);
    final double strikeModified = METHOD_SWAP.couponEquivalentSpreadModified(swaption.getUnderlyingSwap(), pvbpModified, multicurves);
    final double maturity = swaption.getMaturityTime();
    final EuropeanVanillaOption option = new EuropeanVanillaOption(strikeModified, swaption.getTimeToExpiry(), swaption.isCall());
    // Implementation note: option required to pass the strike (in case the swap has non-constant coupon).
    final BlackPriceFunction blackFunction = new BlackPriceFunction();
    final double volatility = blackMulticurves.getBlackParameters().getVolatility(swaption.getTimeToExpiry(), maturity);
    final BlackFunctionData dataBlack = new BlackFunctionData(forwardModified, pvbpModified, volatility);
    final Function1D<BlackFunctionData, Double> func = blackFunction.getPriceFunction(option);
    final double pv = func.evaluate(dataBlack) * (swaption.isLong() ? 1.0 : -1.0);
    return MultipleCurrencyAmount.of(swaption.getCurrency(), pv);
  }
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    for (int loopcf = 0; loopcf < nbCf - 1; loopcf++) {
      alphaK[loopcf] = cfa[loopcf + 1] * pK[loopcf + 1] / k;
      sigmaK += eta * (alpha0[loopcf] + alphaK[loopcf]) * factor2[loopcf + 1] / 2.0;
    }
    final EuropeanVanillaOption option = new EuropeanVanillaOption(k, 1, !swaption.isCall());
    final BlackPriceFunction blackFunction = new BlackPriceFunction();
    final BlackFunctionData dataBlack = new BlackFunctionData(b0, dfswap[0], sigmaK);
    final Function1D<BlackFunctionData, Double> func = blackFunction.getPriceFunction(option);
    final double pv = func.evaluate(dataBlack);
    return MultipleCurrencyAmount.of(swaption.getUnderlyingSwap().getFirstLeg().getCurrency(), pv * (swaption.isLong() ? 1.0 : -1.0));
  }
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    final double forwardModified = METHOD_SWAP.forwardSwapSpreadModified(swaption.getUnderlyingSwap(), pvbpModified, curveBlack);
    final double strikeModified = METHOD_SWAP.couponEquivalentSpreadModified(swaption.getUnderlyingSwap(), pvbpModified, curveBlack);
    final double maturity = swaption.getMaturityTime();
    final EuropeanVanillaOption option = new EuropeanVanillaOption(strikeModified, swaption.getTimeToExpiry(), swaption.isCall());
    // Implementation note: option required to pass the strike (in case the swap has non-constant coupon).
    final BlackPriceFunction blackFunction = new BlackPriceFunction();
    final double volatility = curveBlack.getBlackParameters().getVolatility(swaption.getTimeToExpiry(), maturity);
    final BlackFunctionData dataBlack = new BlackFunctionData(forwardModified, pvbpModified, volatility);
    final Function1D<BlackFunctionData, Double> func = blackFunction.getPriceFunction(option);
    final double pv = func.evaluate(dataBlack) * (swaption.isLong() ? 1.0 : -1.0);
    return CurrencyAmount.of(swaption.getCurrency(), pv);
  }
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    }
    final double[] betaBar = new double[] {(beta0[0] + betaK[0]) / 2.0, (beta0[1] + betaK[1]) / 2.0};
    final double sigmaBar2 = gamma[0][0] * betaBar[0] * betaBar[0] + gamma[1][1] * betaBar[1] * betaBar[1] + 2 * rhog2pp * gamma[0][1] * betaBar[0] * betaBar[1];
    final double sigmaBar = Math.sqrt(sigmaBar2);
    final EuropeanVanillaOption option = new EuropeanVanillaOption(k, 1, !swaption.isCall());
    final BlackPriceFunction blackFunction = new BlackPriceFunction();
    final BlackFunctionData dataBlack = new BlackFunctionData(b0, dfswap[0], sigmaBar);
    final Function1D<BlackFunctionData, Double> func = blackFunction.getPriceFunction(option);
    final double price = func.evaluate(dataBlack) * (swaption.isLong() ? 1.0 : -1.0);
    return MultipleCurrencyAmount.of(swaption.getCurrency(), price);
  }
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    final double strikeModified = METHOD_SWAP.couponEquivalent(swaption.getUnderlyingSwap(), pvbpModified, multicurves);
    final double maturity = swaption.getMaturityTime();
    final EuropeanVanillaOption option = new EuropeanVanillaOption(strikeModified, swaption.getTimeToExpiry(), swaption.isCall());
    // Implementation note: option required to pass the strike (in case the swap has non-constant coupon).
    if (strikeModified <= _cutOffStrike) { // No extrapolation
      final BlackPriceFunction blackFunction = new BlackPriceFunction();
      final double volatility = sabrData.getSABRParameter().getVolatility(swaption.getTimeToExpiry(), maturity, strikeModified, forwardModified);
      final BlackFunctionData dataBlack = new BlackFunctionData(forwardModified, pvbpModified, volatility);
      final Function1D<BlackFunctionData, Double> func = blackFunction.getPriceFunction(option);
      return MultipleCurrencyAmount.of(ccy, func.evaluate(dataBlack) * (swaption.isLong() ? 1.0 : -1.0));
    }
    // With extrapolation
    final DoublesPair expiryMaturity = new DoublesPair(swaption.getTimeToExpiry(), maturity);
    final double alpha = sabrData.getSABRParameter().getAlpha(expiryMaturity);
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