package com.opengamma.analytics.financial.interestrate.future.provider; import static org.testng.AssertJUnit.assertEquals; import static org.testng.AssertJUnit.assertTrue; import org.testng.annotations.Test; import org.threeten.bp.ZonedDateTime; import com.opengamma.analytics.financial.instrument.future.InterestRateFutureOptionMarginSecurityDefinition; import com.opengamma.analytics.financial.instrument.future.InterestRateFutureOptionMarginTransactionDefinition; import com.opengamma.analytics.financial.instrument.future.InterestRateFutureSecurityDefinition; import com.opengamma.analytics.financial.instrument.index.IborIndex; import com.opengamma.analytics.financial.interestrate.future.derivative.InterestRateFutureOptionMarginSecurity; import com.opengamma.analytics.financial.interestrate.future.derivative.InterestRateFutureOptionMarginTransaction; import com.opengamma.analytics.financial.interestrate.future.derivative.InterestRateFutureSecurity; import com.opengamma.analytics.financial.model.option.pricing.analytic.formula.BlackFunctionData; import com.opengamma.analytics.financial.model.option.pricing.analytic.formula.BlackPriceFunction; import com.opengamma.analytics.financial.model.option.pricing.analytic.formula.EuropeanVanillaOption; import com.opengamma.analytics.financial.provider.calculator.blackstirfutures.PresentValueBlackSTIRFutureOptionCalculator; import com.opengamma.analytics.financial.provider.calculator.blackstirfutures.PresentValueCurveSensitivityBlackSTIRFutureOptionCalculator; import com.opengamma.analytics.financial.provider.description.BlackDataSets; import com.opengamma.analytics.financial.provider.description.MulticurveProviderDiscountDataSets; import com.opengamma.analytics.financial.provider.description.interestrate.BlackSTIRFuturesProviderInterface; import com.opengamma.analytics.financial.provider.description.interestrate.BlackSTIRFuturesSmileProviderDiscount; import com.opengamma.analytics.financial.provider.description.interestrate.MulticurveProviderDiscount; import com.opengamma.analytics.financial.provider.sensitivity.blackstirfutures.ParameterSensitivityBlackSTIRFuturesDiscountInterpolatedFDCalculator; import com.opengamma.analytics.financial.provider.sensitivity.multicurve.MultipleCurrencyParameterSensitivity; import com.opengamma.analytics.financial.provider.sensitivity.parameter.ParameterSensitivityParameterCalculator; import com.opengamma.analytics.financial.schedule.ScheduleCalculator; import com.opengamma.analytics.financial.util.AssertSensitivityObjects; import com.opengamma.analytics.math.surface.InterpolatedDoublesSurface; import com.opengamma.analytics.util.amount.SurfaceValue; import com.opengamma.financial.convention.calendar.Calendar; import com.opengamma.util.money.Currency; import com.opengamma.util.money.MultipleCurrencyAmount; import com.opengamma.util.test.TestGroup; import com.opengamma.util.time.DateUtils; import com.opengamma.util.tuple.DoublesPair; /** * Test. */ @Test(groups = TestGroup.UNIT) public class InterestRateFutureOptionMarginBlackRateMethodTest { private static final MulticurveProviderDiscount MULTICURVES = MulticurveProviderDiscountDataSets.createMulticurveEurUsd(); private static final IborIndex[] IBOR_INDEXES = MulticurveProviderDiscountDataSets.getIndexesIborMulticurveEurUsd(); private static final IborIndex EURIBOR3M = IBOR_INDEXES[0]; private static final Currency EUR = EURIBOR3M.getCurrency(); private static final Calendar TARGET = MulticurveProviderDiscountDataSets.getEURCalendar(); private static final InterpolatedDoublesSurface BLACK_PARAMETERS = BlackDataSets.createBlackSurfaceExpiryTenor(); private static final BlackSTIRFuturesSmileProviderDiscount BLACK_MULTICURVES = new BlackSTIRFuturesSmileProviderDiscount(MULTICURVES, BLACK_PARAMETERS, EURIBOR3M); // Future private static final ZonedDateTime SPOT_LAST_TRADING_DATE = DateUtils.getUTCDate(2012, 9, 19); private static final ZonedDateTime LAST_TRADING_DATE = ScheduleCalculator.getAdjustedDate(SPOT_LAST_TRADING_DATE, -EURIBOR3M.getSpotLag(), TARGET); private static final double NOTIONAL = 1000000.0; // 1m private static final double FUTURE_FACTOR = 0.25; private static final String NAME = "ERU2"; private static final double STRIKE = 0.9850; private static final InterestRateFutureSecurityDefinition ERU2_DEFINITION = new InterestRateFutureSecurityDefinition(LAST_TRADING_DATE, EURIBOR3M, NOTIONAL, FUTURE_FACTOR, NAME, TARGET); private static final ZonedDateTime REFERENCE_DATE = DateUtils.getUTCDate(2010, 8, 18, 10, 0); private static final InterestRateFutureSecurity ERU2 = ERU2_DEFINITION.toDerivative(REFERENCE_DATE); // Option private static final ZonedDateTime EXPIRATION_DATE = DateUtils.getUTCDate(2011, 9, 16); private static final boolean IS_CALL = true; public static final InterestRateFutureOptionMarginSecurityDefinition OPTION_ERU2_DEFINITION = new InterestRateFutureOptionMarginSecurityDefinition(ERU2_DEFINITION, EXPIRATION_DATE, STRIKE, IS_CALL); public static final InterestRateFutureOptionMarginSecurity OPTION_ERU2 = OPTION_ERU2_DEFINITION.toDerivative(REFERENCE_DATE); // Transaction private static final int QUANTITY = -123; private static final double TRADE_PRICE = 0.0050; private static final ZonedDateTime TRADE_DATE_1 = DateUtils.getUTCDate(2010, 8, 17, 13, 00); private static final ZonedDateTime TRADE_DATE_2 = DateUtils.getUTCDate(2010, 8, 18, 9, 30); private static final double MARGIN_PRICE = 0.0025; // Settle price for 17-Aug private static final InterestRateFutureOptionMarginTransactionDefinition TRANSACTION_1_DEFINITION = new InterestRateFutureOptionMarginTransactionDefinition(OPTION_ERU2_DEFINITION, QUANTITY, TRADE_DATE_1, TRADE_PRICE); private static final InterestRateFutureOptionMarginTransaction TRANSACTION_1 = TRANSACTION_1_DEFINITION.toDerivative(REFERENCE_DATE, MARGIN_PRICE); private static final InterestRateFutureOptionMarginTransactionDefinition TRANSACTION_2_DEFINITION = new InterestRateFutureOptionMarginTransactionDefinition(OPTION_ERU2_DEFINITION, QUANTITY, TRADE_DATE_2, TRADE_PRICE); private static final InterestRateFutureOptionMarginTransaction TRANSACTION_2 = TRANSACTION_2_DEFINITION.toDerivative(REFERENCE_DATE, MARGIN_PRICE); private static final InterestRateFutureSecurityDiscountingMethod METHOD_FUTURES = InterestRateFutureSecurityDiscountingMethod.getInstance(); private static final InterestRateFutureOptionMarginSecurityBlackRateMethod METHOD_SECURITY_OPTION_BLACK = InterestRateFutureOptionMarginSecurityBlackRateMethod.getInstance(); private static final InterestRateFutureOptionMarginTransactionBlackSmileMethod METHOD_TRANSACTION_OPTION_BLACK = InterestRateFutureOptionMarginTransactionBlackSmileMethod.getInstance(); private static final PresentValueBlackSTIRFutureOptionCalculator PVBFC = PresentValueBlackSTIRFutureOptionCalculator.getInstance(); private static final PresentValueCurveSensitivityBlackSTIRFutureOptionCalculator PVCSBFC = PresentValueCurveSensitivityBlackSTIRFutureOptionCalculator.getInstance(); private static final double SHIFT = 1.0E-6; private static final ParameterSensitivityParameterCalculator<BlackSTIRFuturesProviderInterface> PSHWC = new ParameterSensitivityParameterCalculator<>( PVCSBFC); private static final ParameterSensitivityBlackSTIRFuturesDiscountInterpolatedFDCalculator PSHWC_DSC_FD = new ParameterSensitivityBlackSTIRFuturesDiscountInterpolatedFDCalculator(PVBFC, SHIFT); private static final BlackPriceFunction BLACK_FUNCTION = new BlackPriceFunction(); private static final double VOL_SHIFT = 1.0E-6; private static final double TOLERANCE_PRICE = 1.0E-8; private static final double TOLERANCE_PV = 1.0E-2; private static final double TOLERANCE_PRICE_DELTA = 1.0E-4; private static final double TOLERANCE_PV_DELTA = 1.0E+2; @Test /** * Test the option price from the future price. Standard option. */ public void price() { final double rateStrike = 1.0 - STRIKE; final double expiry = OPTION_ERU2.getExpirationTime(); final EuropeanVanillaOption option = new EuropeanVanillaOption(rateStrike, expiry, !IS_CALL); final double priceFuture = METHOD_FUTURES.price(ERU2, MULTICURVES); final double forward = 1 - priceFuture; final double volatility = BLACK_PARAMETERS.getZValue(expiry, rateStrike); final BlackFunctionData dataBlack = new BlackFunctionData(forward, 1.0, volatility); final double priceExpected = BLACK_FUNCTION.getPriceFunction(option).evaluate(dataBlack); final double priceComputed = METHOD_SECURITY_OPTION_BLACK.price(OPTION_ERU2, BLACK_MULTICURVES); assertEquals("Future option with Black volatilities: option security price", priceExpected, priceComputed, TOLERANCE_PRICE); } @Test /** * Test the option transaction present value. */ public void presentValue() { final double priceOption = METHOD_SECURITY_OPTION_BLACK.price(OPTION_ERU2, BLACK_MULTICURVES); final double presentValue1Expected = (priceOption - MARGIN_PRICE) * QUANTITY * NOTIONAL * FUTURE_FACTOR; final MultipleCurrencyAmount presentValue1Computed = METHOD_TRANSACTION_OPTION_BLACK.presentValue(TRANSACTION_1, BLACK_MULTICURVES); assertEquals("Future option with Black volatilities: option transaction pv", presentValue1Expected, presentValue1Computed.getAmount(EUR), TOLERANCE_PV); final double presentValue2Expected = (priceOption - TRADE_PRICE) * QUANTITY * NOTIONAL * FUTURE_FACTOR; final MultipleCurrencyAmount presentValue2Computed = METHOD_TRANSACTION_OPTION_BLACK.presentValue(TRANSACTION_2, BLACK_MULTICURVES); assertEquals("Future option with Black volatilities: option transaction pv", presentValue2Expected, presentValue2Computed.getAmount(EUR), TOLERANCE_PV); final MultipleCurrencyAmount presentValue1Calculator = TRANSACTION_1.accept(PVBFC, BLACK_MULTICURVES); assertEquals("Future option with Black volatilities: option transaction pv", presentValue1Computed.getAmount(EUR), presentValue1Calculator.getAmount(EUR), TOLERANCE_PV); } @Test /** * Tests present value curve sensitivity. */ public void presentValueCurveSensitivity() { final MultipleCurrencyParameterSensitivity pvpsDepositExact = PSHWC.calculateSensitivity(TRANSACTION_1, BLACK_MULTICURVES, BLACK_MULTICURVES.getMulticurveProvider().getAllNames()); final MultipleCurrencyParameterSensitivity pvpsDepositFD = PSHWC_DSC_FD.calculateSensitivity(TRANSACTION_1, BLACK_MULTICURVES); AssertSensitivityObjects.assertEquals("CashDiscountingProviderMethod: presentValueCurveSensitivity ", pvpsDepositExact, pvpsDepositFD, TOLERANCE_PV_DELTA); } @Test /** * Test the option price Black sensitivity */ public void priceBlackSensitivity() { final InterpolatedDoublesSurface blackParameterPlus = BlackDataSets.createBlackSurfaceExpiryTenorShift(VOL_SHIFT); final InterpolatedDoublesSurface blackParameterMinus = BlackDataSets.createBlackSurfaceExpiryTenorShift(-VOL_SHIFT); final BlackSTIRFuturesSmileProviderDiscount blackPlus = new BlackSTIRFuturesSmileProviderDiscount(MULTICURVES, blackParameterPlus, EURIBOR3M); final BlackSTIRFuturesSmileProviderDiscount blackMinus = new BlackSTIRFuturesSmileProviderDiscount(MULTICURVES, blackParameterMinus, EURIBOR3M); final double pricePlus = METHOD_SECURITY_OPTION_BLACK.price(OPTION_ERU2, blackPlus); final double priceMinus = METHOD_SECURITY_OPTION_BLACK.price(OPTION_ERU2, blackMinus); final double priceSensiExpected = (pricePlus - priceMinus) / (2 * VOL_SHIFT); final SurfaceValue priceSensiComputed = METHOD_SECURITY_OPTION_BLACK.priceBlackSensitivity(OPTION_ERU2, BLACK_MULTICURVES); final DoublesPair point = DoublesPair.of(OPTION_ERU2.getExpirationTime(), STRIKE); assertEquals("Future option with Black volatilities: option security vol sensi", priceSensiExpected, priceSensiComputed.getMap().get(point), TOLERANCE_PRICE_DELTA); assertEquals("Future option with Black volatilities: option security vol sensi", 1, priceSensiComputed.getMap().size()); } @Test /** * Test the option price Black sensitivity */ public void presentValueBlackSensitivity() { final SurfaceValue pvbsSecurity = METHOD_SECURITY_OPTION_BLACK.priceBlackSensitivity(OPTION_ERU2, BLACK_MULTICURVES); final SurfaceValue pvbsTransactionComputed = METHOD_TRANSACTION_OPTION_BLACK.presentValueBlackSensitivity(TRANSACTION_1, BLACK_MULTICURVES); final SurfaceValue pvbsTransactionExpected = SurfaceValue.multiplyBy(pvbsSecurity, QUANTITY * NOTIONAL * FUTURE_FACTOR); assertTrue("Future option with Black volatilities: option security vol sensi", SurfaceValue.compare(pvbsTransactionComputed, pvbsTransactionExpected, TOLERANCE_PV_DELTA)); } }