| 1 | /* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ |
| 2 | |
| 3 | /* |
| 4 | Copyright (C) 2011, 2012 Andre Miemiec |
| 5 | Copyright (C) 2012 Samuel Tebege |
| 6 | |
| 7 | This file is part of QuantLib, a free-software/open-source library |
| 8 | for financial quantitative analysts and developers - http://quantlib.org/ |
| 9 | |
| 10 | QuantLib is free software: you can redistribute it and/or modify it |
| 11 | under the terms of the QuantLib license. You should have received a |
| 12 | copy of the license along with this program; if not, please email |
| 13 | <quantlib-dev@lists.sf.net>. The license is also available online at |
| 14 | <http://quantlib.org/license.shtml>. |
| 15 | |
| 16 | This program is distributed in the hope that it will be useful, but WITHOUT |
| 17 | ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS |
| 18 | FOR A PARTICULAR PURPOSE. See the license for more details. |
| 19 | */ |
| 20 | |
| 21 | /*! \file haganirregularswaptionengine.hpp |
| 22 | \brief engine for pricing irregular swaptions via super-replication |
| 23 | */ |
| 24 | |
| 25 | #ifndef quantlib_hagan_irregular_swaption_engine_hpp |
| 26 | #define quantlib_hagan_irregular_swaption_engine_hpp |
| 27 | |
| 28 | #include <ql/experimental/swaptions/irregularswaption.hpp> |
| 29 | #include <ql/termstructures/yieldtermstructure.hpp> |
| 30 | #include <ql/termstructures/volatility/swaption/swaptionvolstructure.hpp> |
| 31 | #include <ql/math/optimization/costfunction.hpp> |
| 32 | #include <ql/instruments/makevanillaswap.hpp> |
| 33 | |
| 34 | namespace QuantLib { |
| 35 | |
| 36 | //! Pricing engine for irregular swaptions |
| 37 | /*! References: |
| 38 | |
| 39 | 1. P.S. Hagan: "Methodology for Callable Swaps and Bermudan |
| 40 | 'Exercise into Swaptions'" |
| 41 | 2. P.J. Hunt, J.E. Kennedy: "Implied interest rate pricing |
| 42 | models", Finance Stochast. 2, 275-293 (1998) |
| 43 | |
| 44 | \warning Currently a spread is not handled correctly; it |
| 45 | should be a minor exercise to account for this |
| 46 | feature as well; |
| 47 | */ |
| 48 | class HaganIrregularSwaptionEngine |
| 49 | : public GenericEngine<IrregularSwaption::arguments, |
| 50 | IrregularSwaption::results> { |
| 51 | public: |
| 52 | //@{ |
| 53 | explicit HaganIrregularSwaptionEngine( |
| 54 | Handle<SwaptionVolatilityStructure>, |
| 55 | Handle<YieldTermStructure> termStructure = Handle<YieldTermStructure>()); |
| 56 | //@} |
| 57 | void calculate() const override; |
| 58 | |
| 59 | // helper class |
| 60 | class Basket { |
| 61 | public: |
| 62 | Basket(ext::shared_ptr<IrregularSwap> swap, |
| 63 | Handle<YieldTermStructure> termStructure, |
| 64 | Handle<SwaptionVolatilityStructure> volatilityStructure); |
| 65 | Array compute(Rate lambda = 0.0) const; |
| 66 | Real operator()(Rate x) const; |
| 67 | ext::shared_ptr<VanillaSwap> component(Size i) const; |
| 68 | Array weights() const { return compute(lambda: lambda_); }; |
| 69 | Real& lambda() const { return lambda_; }; |
| 70 | // NOLINTNEXTLINE(cppcoreguidelines-noexcept-swap,performance-noexcept-swap) |
| 71 | ext::shared_ptr<IrregularSwap> swap() const { return swap_; }; |
| 72 | private: |
| 73 | ext::shared_ptr<IrregularSwap> swap_; |
| 74 | Handle<YieldTermStructure> termStructure_; |
| 75 | Handle<SwaptionVolatilityStructure> volatilityStructure_; |
| 76 | |
| 77 | Real targetNPV_ = 0.0; |
| 78 | |
| 79 | ext::shared_ptr<PricingEngine> engine_; |
| 80 | |
| 81 | std::vector<Real> fairRates_; |
| 82 | std::vector<Real> annuities_; |
| 83 | std::vector<Date> expiries_; |
| 84 | |
| 85 | mutable Real lambda_ = 0.0; |
| 86 | }; |
| 87 | |
| 88 | Real HKPrice(Basket& basket,ext::shared_ptr<Exercise>& exercise) const; |
| 89 | Real LGMPrice(Basket& basket,ext::shared_ptr<Exercise>& exercise) const; |
| 90 | |
| 91 | private: |
| 92 | Handle<YieldTermStructure> termStructure_; |
| 93 | Handle<SwaptionVolatilityStructure> volatilityStructure_; |
| 94 | class rStarFinder; |
| 95 | }; |
| 96 | |
| 97 | } |
| 98 | |
| 99 | #endif |
| 100 | |