Package com.opengamma.analytics.financial.model.option.definition

Examples of com.opengamma.analytics.financial.model.option.definition.SABRInterestRateParameters

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        10, 100}, new double[] {0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 10, 10, 10, 10, 10, 10, 10, 100, 100, 100, 100, 100, 100, 100}, new double[] {-0.25, -0.25, -0.25, -0.25, -0.25, -0.25,
        -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00}, INTERPOLATOR_2D);
    final InterpolatedDoublesSurface nuSurface = InterpolatedDoublesSurface.from(new double[] {0.0, 0.5, 1, 2, 5, 10, 100, 0.0, 0.5, 1, 2, 5, 10, 100, 0.0, 0.5, 1, 2, 5, 10, 100, 0.0, 0.5, 1, 2, 5,
        10, 100}, new double[] {0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 10, 10, 10, 10, 10, 10, 10, 100, 100, 100, 100, 100, 100, 100}, new double[] {0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.50,
        0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30}, INTERPOLATOR_2D);
    return new SABRInterestRateParameters(alphaSurface, betaSurface, rhoSurface, nuSurface, DAY_COUNT, sabrFunction);
  }
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    final InterpolatedDoublesSurface rhoSurface = InterpolatedDoublesSurface.from(new double[] {0.0, 0.5, 1, 2, 5, 10, 0.0, 0.5, 1, 2, 5, 10, 0.0, 0.5, 1, 2, 5, 10}, new double[] {0, 0, 0, 0, 0, 0,
        1, 1, 1, 1, 1, 1, 10, 10, 10, 10, 10, 10}, new double[] {-0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00},
        INTERPOLATOR_2D);
    final InterpolatedDoublesSurface nuSurface = InterpolatedDoublesSurface.from(new double[] {0.0, 0.5, 1, 2, 5, 10, 0.0, 0.5, 1, 2, 5, 10, 0.0, 0.5, 1, 2, 5, 10}, new double[] {0, 0, 0, 0, 0, 0, 1,
        1, 1, 1, 1, 1, 10, 10, 10, 10, 10, 10}, new double[] {0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30}, INTERPOLATOR_2D);
    return new SABRInterestRateParameters(alphaSurface, betaSurface, rhoSurface, nuSurface, DAY_COUNT, sabrFunction);
  }
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        10, 100}, new double[] {0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 10, 10, 10, 10, 10, 10, 10, 100, 100, 100, 100, 100, 100, 100}, new double[] {-0.25, -0.25, -0.25, -0.25, -0.25, -0.25,
        -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00}, INTERPOLATOR_2D);
    final InterpolatedDoublesSurface nuSurface = InterpolatedDoublesSurface.from(new double[] {0.0, 0.5, 1, 2, 5, 10, 100, 0.0, 0.5, 1, 2, 5, 10, 100, 0.0, 0.5, 1, 2, 5, 10, 100, 0.0, 0.5, 1, 2, 5,
        10, 100}, new double[] {0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 10, 10, 10, 10, 10, 10, 10, 100, 100, 100, 100, 100, 100, 100}, new double[] {0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.50,
        0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30}, INTERPOLATOR_2D);
    return new SABRInterestRateParameters(alphaSurface, betaSurface, rhoSurface, nuSurface, DAY_COUNT, sabrFunction);
  }
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    final InterpolatedDoublesSurface rhoSurface = InterpolatedDoublesSurface.from(new double[] {0.0, 0.5, 1, 2, 5, 10, 0.0, 0.5, 1, 2, 5, 10, 0.0, 0.5, 1, 2, 5, 10}, new double[] {0, 0, 0, 0, 0, 0,
        1, 1, 1, 1, 1, 1, 10, 10, 10, 10, 10, 10}, new double[] {-0.25 + shift, -0.25 + shift, -0.25 + shift, -0.25 + shift, -0.25 + shift, -0.25 + shift, -0.25 + shift, -0.25 + shift, -0.25 + shift,
        -0.25 + shift, -0.25 + shift, -0.25 + shift, 0.00 + shift, 0.00 + shift, 0.00 + shift, 0.00 + shift, 0.00 + shift, 0.00 + shift}, INTERPOLATOR_2D);
    final InterpolatedDoublesSurface nuSurface = InterpolatedDoublesSurface.from(new double[] {0.0, 0.5, 1, 2, 5, 10, 0.0, 0.5, 1, 2, 5, 10, 0.0, 0.5, 1, 2, 5, 10}, new double[] {0, 0, 0, 0, 0, 0, 1,
        1, 1, 1, 1, 1, 10, 10, 10, 10, 10, 10}, new double[] {0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.50, 0.30, 0.30, 0.30, 0.30, 0.30, 0.30}, INTERPOLATOR_2D);
    return new SABRInterestRateParameters(alphaSurface, betaSurface, rhoSurface, nuSurface, DAY_COUNT, sabrFunction);
  }
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        1, 1, 1, 1, 1, 1, 10, 10, 10, 10, 10, 10}, new double[] {-0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00},
        INTERPOLATOR_2D);
    final InterpolatedDoublesSurface nuSurface = InterpolatedDoublesSurface.from(new double[] {0.0, 0.5, 1, 2, 5, 10, 0.0, 0.5, 1, 2, 5, 10, 0.0, 0.5, 1, 2, 5, 10}, new double[] {0, 0, 0, 0, 0, 0, 1,
        1, 1, 1, 1, 1, 10, 10, 10, 10, 10, 10}, new double[] {0.50 + shift, 0.50 + shift, 0.50 + shift, 0.50 + shift, 0.50 + shift, 0.50 + shift, 0.50 + shift, 0.50 + shift, 0.50 + shift,
        0.50 + shift, 0.50 + shift, 0.50 + shift, 0.30 + shift, 0.30 + shift, 0.30 + shift, 0.30 + shift, 0.30 + shift, 0.30 + shift}, INTERPOLATOR_2D);
    return new SABRInterestRateParameters(alphaSurface, betaSurface, rhoSurface, nuSurface, DAY_COUNT, sabrFunction);
  }
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        10.0, 10.0, 20.0, 20.0, 20.0}, new double[] {1.0, 2.0, 5.0, 1.0, 2.0, 5.0, 10.0, 1.0, 2.0, 5.0, 10.0, 20, 2.0, 5.0, 10.0, 20.0, 2.0, 5.0, 10.0, 20.0, 5.0, 10.0, 20.0}, new double[] {-0.25,
        -0.25, -0.25, -0.10, -0.10, -0.10, -0.10, -0.10, -0.10, -0.10, -0.10, -0.10, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.10, 0.10, 0.10}, INTERPOLATOR_2D);
    final InterpolatedDoublesSurface nuSurface = InterpolatedDoublesSurface.from(new double[] {0.25, 0.25, 0.25, 0.50, 0.50, 0.50, 0.50, 1.0, 1.0, 1.0, 1.0, 1.0, 5.0, 5.0, 5.0, 5.0, 10.0, 10.0, 10.0,
        10.0, 20.0, 20.0, 20.0}, new double[] {1.0, 2.0, 5.0, 1.0, 2.0, 5.0, 10.0, 1.0, 2.0, 5.0, 10.0, 20, 2.0, 5.0, 10.0, 20.0, 2.0, 5.0, 10.0, 20.0, 5.0, 10.0, 20.0}, new double[] {0.50, 0.50,
        0.50, 0.40, 0.40, 0.40, 0.40, 0.40, 0.40, 0.40, 0.40, 0.40, 0.40, 0.40, 0.40, 0.40, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35}, INTERPOLATOR_2D);
    return new SABRInterestRateParameters(alphaSurface, betaSurface, rhoSurface, nuSurface, DAY_COUNT, new SABRHaganVolatilityFunction());
  }
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        10.0, 10.0, 20.0, 20.0, 20.0}, new double[] {1.0, 2.0, 5.0, 1.0, 2.0, 5.0, 10.0, 1.0, 2.0, 5.0, 10.0, 20, 2.0, 5.0, 10.0, 20.0, 2.0, 5.0, 10.0, 20.0, 5.0, 10.0, 20.0}, new double[] {-0.15,
        -0.15, -0.15, -0.10, -0.10, -0.10, -0.10, -0.10, -0.10, -0.10, -0.10, -0.10, -0.00, 0.25, 0.10, 0.40, 0.00, 0.00, 0.00, 0.00, 0.10, 0.10, 0.10}, INTERPOLATOR_2D);
    final InterpolatedDoublesSurface nuSurface = InterpolatedDoublesSurface.from(new double[] {0.25, 0.25, 0.25, 0.50, 0.50, 0.50, 0.50, 1.0, 1.0, 1.0, 1.0, 1.0, 5.0, 5.0, 5.0, 5.0, 10.0, 10.0, 10.0,
        10.0, 20.0, 20.0, 20.0}, new double[] {1.0, 2.0, 5.0, 1.0, 2.0, 5.0, 10.0, 1.0, 2.0, 5.0, 10.0, 20, 2.0, 5.0, 10.0, 20.0, 2.0, 5.0, 10.0, 20.0, 5.0, 10.0, 20.0}, new double[] {0.50, 0.50,
        0.50, 0.40, 0.40, 0.40, 0.40, 0.40, 0.40, 0.40, 0.40, 0.40, 0.45, 0.25, 0.25, 0.40, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35}, INTERPOLATOR_2D);
    return new SABRInterestRateParameters(alphaSurface, betaSurface, rhoSurface, nuSurface, DAY_COUNT, new SABRHaganVolatilityFunction());
  }
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  }

  @Test
  public void testPriceReplication() {
    final YieldCurveBundle curves = TestsDataSetsSABR.createCurves1();
    final SABRInterestRateParameters sabrParameter = TestsDataSetsSABR.createSABR1();
    final SABRInterestRateDataBundle sabrBundle = new SABRInterestRateDataBundle(sabrParameter, curves);
    final double forward = SWAP.accept(PRC, curves);
    final double discountFactor = curves.getCurve(FUNDING_CURVE_NAME).getDiscountFactor(CMS_COUPON_RECEIVER.getPaymentTime());
    final CMSIntegrant integrant = new CMSIntegrant(CMS_COUPON_RECEIVER, sabrParameter, forward);
    final double factor = discountFactor / integrant.h(forward) * integrant.g(forward);
 
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  @Test
  public void testPriceChangeSABRFormula() {
    final YieldCurveBundle curves = TestsDataSetsSABR.createCurves1();
    // SABR Hagan volatility function
    final SABRInterestRateParameters sabrParameterHagan = TestsDataSetsSABR.createSABR1(new SABRHaganVolatilityFunction());
    final SABRInterestRateDataBundle sabrHaganBundle = new SABRInterestRateDataBundle(sabrParameterHagan, curves);
    final double priceHagan = CMS_COUPON_RECEIVER.accept(PVC, sabrHaganBundle);
    // From previous run
    assertEquals(8853.300, priceHagan, 1E-2);
    // No convexity adjustment
    final PresentValueCalculator pvcNoConvexity = PresentValueCalculator.getInstance();
    final double priceNoConvexity = CMS_COUPON_RECEIVER.accept(pvcNoConvexity, curves);
    assertEquals(priceHagan, priceNoConvexity, 400.0);
    // SABR Hagan alternative volatility function
    final SABRInterestRateParameters sabrParameterHaganAlt = TestsDataSetsSABR.createSABR1(new SABRHaganAlternativeVolatilityFunction());
    final SABRInterestRateDataBundle sabrHaganAltBundle = new SABRInterestRateDataBundle(sabrParameterHaganAlt, curves);
    final double priceHaganAlt = CMS_COUPON_RECEIVER.accept(PVC, sabrHaganAltBundle);
    assertEquals(priceHagan, priceHaganAlt, 40.0);
    // SABR Berestycki volatility function
    final SABRInterestRateParameters sabrParameterBerestycki = TestsDataSetsSABR.createSABR1(new SABRBerestyckiVolatilityFunction());
    final SABRInterestRateDataBundle sabrBerestyckiBundle = new SABRInterestRateDataBundle(sabrParameterBerestycki, curves);
    final double priceBerestycki = CMS_COUPON_RECEIVER.accept(PVC, sabrBerestyckiBundle);
    assertEquals(priceHagan, priceBerestycki, 5);
    final SABRInterestRateParameters sabrParameterPaulot = TestsDataSetsSABR.createSABR1(new SABRPaulotVolatilityFunction());
    final SABRInterestRateDataBundle sabrPaulotBundle = new SABRInterestRateDataBundle(sabrParameterPaulot, curves);
    final double pricePaulot = CMS_COUPON_RECEIVER.accept(PVC, sabrPaulotBundle);
    assertEquals(priceHagan, pricePaulot, 15);
  }
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  }

  @Test
  public void testPriceSABRSurface() {
    final YieldCurveBundle curves = TestsDataSetsSABR.createCurves1();
    final SABRInterestRateParameters sabrParameter = TestsDataSetsSABR.createSABR1();
    final SABRInterestRateDataBundle sabrBundle = new SABRInterestRateDataBundle(sabrParameter, curves);
    final PresentValueSABRCalculator pvcSabr = PresentValueSABRCalculator.getInstance();
    // Swaption pricing.
    final double priceLongPayer = SWAPTION_LONG_PAYER.accept(pvcSabr, sabrBundle);
    final double priceShortPayer = SWAPTION_SHORT_PAYER.accept(pvcSabr, sabrBundle);
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