/** * Copyright (C) 2015 - present by OpenGamma Inc. and the OpenGamma group of companies * * Please see distribution for license. */ package com.opengamma.strata.pricer.index; import java.time.LocalDate; import com.opengamma.strata.basics.currency.CurrencyAmount; import com.opengamma.strata.collect.ArgChecker; import com.opengamma.strata.market.sensitivity.PointSensitivities; import com.opengamma.strata.pricer.rate.RatesProvider; import com.opengamma.strata.product.index.IborFutureOption; import com.opengamma.strata.product.index.ResolvedIborFuture; import com.opengamma.strata.product.index.ResolvedIborFutureOption; import com.opengamma.strata.product.index.ResolvedIborFutureOptionTrade; import com.opengamma.strata.product.option.FutureOptionPremiumStyle; /** * Pricer implementation for Ibor future option. * <p> * This provides the ability to price an Ibor future option. * The option must be based on {@linkplain FutureOptionPremiumStyle#DAILY_MARGIN daily margin}. * * <h4>Price</h4> * The price of an Ibor future option is based on the price of the underlying future, the volatility * and the time to expiry. The price of the at-the-money option tends to zero as expiry approaches. * <p> * Strata uses <i>decimal prices</i> for Ibor future options in the trade model, pricers and market data. * The decimal price is based on the decimal rate equivalent to the percentage. * For example, an option price of 0.2 is related to a futures price of 99.32 that implies an * interest rate of 0.68%. Strata represents the price of the future as 0.9932 and thus * represents the price of the option as 0.002. */ public final class NormalIborFutureOptionMarginedTradePricer { /** * Default implementation. */ public static final NormalIborFutureOptionMarginedTradePricer DEFAULT = new NormalIborFutureOptionMarginedTradePricer(NormalIborFutureOptionMarginedProductPricer.DEFAULT); /** * Underlying option pricer. */ private final NormalIborFutureOptionMarginedProductPricer futureOptionPricer; /** * Creates an instance. * * @param futureOptionPricer the pricer for {@link IborFutureOption} */ public NormalIborFutureOptionMarginedTradePricer( NormalIborFutureOptionMarginedProductPricer futureOptionPricer) { this.futureOptionPricer = ArgChecker.notNull(futureOptionPricer, "futureOptionPricer"); } //------------------------------------------------------------------------- /** * Calculates the price of the Ibor future option trade. * <p> * The price of the trade is the price on the valuation date. * The price is calculated using the volatility model. * * @param trade the trade * @param ratesProvider the rates provider * @param volatilities the volatilities * @return the price of the product, in decimal form */ public double price( ResolvedIborFutureOptionTrade trade, RatesProvider ratesProvider, NormalIborFutureOptionVolatilities volatilities) { return futureOptionPricer.price(trade.getProduct(), ratesProvider, volatilities); } //------------------------------------------------------------------------- /** * Calculates the present value of the Ibor future option trade from the current option price. * <p> * The present value of the product is the value on the valuation date. * The current price is specified, not calculated. * <p> * This method calculates based on the difference between the specified current price and the * last settlement price, or the trade price if traded on the valuation date. * * @param trade the trade * @param valuationDate the valuation date; required to asses if the trade or last closing price should be used * @param currentOptionPrice the current price for the option, in decimal form * @param lastOptionSettlementPrice the last settlement price used for margining for the option, in decimal form * @return the present value */ public CurrencyAmount presentValue( ResolvedIborFutureOptionTrade trade, LocalDate valuationDate, double currentOptionPrice, double lastOptionSettlementPrice) { ResolvedIborFutureOption option = trade.getProduct(); double referencePrice = referencePrice(trade, valuationDate, lastOptionSettlementPrice); double priceIndex = futureOptionPricer.marginIndex(option, currentOptionPrice); double referenceIndex = futureOptionPricer.marginIndex(option, referencePrice); double pv = (priceIndex - referenceIndex) * trade.getQuantity(); return CurrencyAmount.of(option.getUnderlyingFuture().getCurrency(), pv); } //------------------------------------------------------------------------- /** * Calculates the present value of the Ibor future option trade. * <p> * The present value of the product is the value on the valuation date. * The current price is calculated using the volatility model. * <p> * This method calculates based on the difference between the model price and the * last settlement price, or the trade price if traded on the valuation date. * * @param trade the trade * @param ratesProvider the rates provider * @param volatilities the volatilities * @param lastOptionSettlementPrice the last settlement price used for margining for the option, in decimal form * @return the present value */ public CurrencyAmount presentValue( ResolvedIborFutureOptionTrade trade, RatesProvider ratesProvider, NormalIborFutureOptionVolatilities volatilities, double lastOptionSettlementPrice) { double price = price(trade, ratesProvider, volatilities); return presentValue(trade, ratesProvider.getValuationDate(), price, lastOptionSettlementPrice); } //------------------------------------------------------------------------- /** * Calculates the present value of the Ibor future option trade from the underlying future price. * <p> * The present value of the product is the value on the valuation date. * The current price is calculated using the volatility model with a known future price. * <p> * This method calculates based on the difference between the model price and the * last settlement price, or the trade price if traded on the valuation date. * * @param trade the trade * @param ratesProvider the rates provider * @param volatilities the volatilities * @param futurePrice the price of the underlying future, in decimal form * @param lastOptionSettlementPrice the last settlement price used for margining for the option, in decimal form * @return the present value */ public CurrencyAmount presentValue( ResolvedIborFutureOptionTrade trade, RatesProvider ratesProvider, NormalIborFutureOptionVolatilities volatilities, double futurePrice, double lastOptionSettlementPrice) { double optionPrice = futureOptionPricer.price(trade.getProduct(), ratesProvider, volatilities, futurePrice); return presentValue(trade, ratesProvider.getValuationDate(), optionPrice, lastOptionSettlementPrice); } //------------------------------------------------------------------------- /** * Calculates the present value sensitivity of the Ibor future option trade. * <p> * The present value sensitivity of the trade is the sensitivity of the present value to * the underlying curves. * * @param trade the trade * @param ratesProvider the rates provider * @param volatilities the volatilities * @return the present value curve sensitivity of the trade */ public PointSensitivities presentValueSensitivityRates( ResolvedIborFutureOptionTrade trade, RatesProvider ratesProvider, NormalIborFutureOptionVolatilities volatilities) { ResolvedIborFutureOption product = trade.getProduct(); PointSensitivities priceSensi = futureOptionPricer.priceSensitivityRatesStickyStrike(product, ratesProvider, volatilities); PointSensitivities marginIndexSensi = futureOptionPricer.marginIndexSensitivity(product, priceSensi); return marginIndexSensi.multipliedBy(trade.getQuantity()); } //------------------------------------------------------------------------- /** * Computes the present value sensitivity to the normal volatility used in the pricing. * <p> * The result is a single sensitivity to the volatility used. * The volatility is associated with the expiry/delay/strike/future price key combination. * <p> * This calculates the underlying future price using the future pricer. * * @param futureOptionTrade the trade * @param ratesProvider the rates provider * @param volatilities the volatilities * @return the price sensitivity */ public IborFutureOptionSensitivity presentValueSensitivityModelParamsVolatility( ResolvedIborFutureOptionTrade futureOptionTrade, RatesProvider ratesProvider, NormalIborFutureOptionVolatilities volatilities) { ResolvedIborFuture future = futureOptionTrade.getProduct().getUnderlyingFuture(); double futurePrice = futureOptionPricer.getFuturePricer().price(future, ratesProvider); return presentValueSensitivityModelParamsVolatility(futureOptionTrade, ratesProvider, volatilities, futurePrice); } //------------------------------------------------------------------------- /** * Computes the present value sensitivity to the normal volatility used in the pricing * based on the price of the underlying future. * <p> * The result is a single sensitivity to the volatility used. * The volatility is associated with the expiry/delay/strike/future price key combination. * * @param futureOptionTrade the trade * @param ratesProvider the rates provider * @param volatilities the volatilities * @param futurePrice the price of the underlying future, in decimal form * @return the price sensitivity */ public IborFutureOptionSensitivity presentValueSensitivityModelParamsVolatility( ResolvedIborFutureOptionTrade futureOptionTrade, RatesProvider ratesProvider, NormalIborFutureOptionVolatilities volatilities, double futurePrice) { ResolvedIborFutureOption product = futureOptionTrade.getProduct(); IborFutureOptionSensitivity priceSensitivity = futureOptionPricer.priceSensitivityModelParamsVolatility(product, ratesProvider, volatilities, futurePrice); double factor = futureOptionPricer.marginIndex(product, 1) * futureOptionTrade.getQuantity(); return priceSensitivity.multipliedBy(factor); } //------------------------------------------------------------------------- /** * Calculates the reference price for the trade. * <p> * If the valuation date equals the trade date, then the reference price is the trade price. * Otherwise, the reference price is the last settlement price used for margining. * * @param trade the trade * @param valuationDate the date for which the reference price should be calculated * @param lastSettlementPrice the last settlement price used for margining, in decimal form * @return the reference price, in decimal form */ private double referencePrice(ResolvedIborFutureOptionTrade trade, LocalDate valuationDate, double lastSettlementPrice) { ArgChecker.notNull(valuationDate, "valuationDate"); return (trade.getTradeDate().equals(valuationDate) ? trade.getPrice() : lastSettlementPrice); } }