/src/quantlib/ql/experimental/callablebonds/callablebondvolstructure.hpp
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1 | | /* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ |
2 | | |
3 | | /* |
4 | | Copyright (C) 2008 Allen Kuo |
5 | | |
6 | | This file is part of QuantLib, a free-software/open-source library |
7 | | for financial quantitative analysts and developers - http://quantlib.org/ |
8 | | |
9 | | QuantLib is free software: you can redistribute it and/or modify it |
10 | | under the terms of the QuantLib license. You should have received a |
11 | | copy of the license along with this program; if not, please email |
12 | | <quantlib-dev@lists.sf.net>. The license is also available online at |
13 | | <http://quantlib.org/license.shtml>. |
14 | | |
15 | | This program is distributed in the hope that it will be useful, but WITHOUT |
16 | | ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS |
17 | | FOR A PARTICULAR PURPOSE. See the license for more details. |
18 | | */ |
19 | | |
20 | | /*! \file callablebondvolstructure.hpp |
21 | | \brief Callable-bond volatility structure |
22 | | */ |
23 | | |
24 | | #ifndef quantlib_callable_bond_volatility_structure_hpp |
25 | | #define quantlib_callable_bond_volatility_structure_hpp |
26 | | |
27 | | #include <ql/termstructure.hpp> |
28 | | #include <ql/math/interpolations/linearinterpolation.hpp> |
29 | | #include <ql/termstructures/volatility/smilesection.hpp> |
30 | | |
31 | | namespace QuantLib { |
32 | | |
33 | | //! Callable-bond volatility structure |
34 | | /*! This class is purely abstract and defines the interface of |
35 | | concrete callable-bond volatility structures which will be |
36 | | derived from this one. |
37 | | */ |
38 | | class CallableBondVolatilityStructure : public TermStructure { |
39 | | public: |
40 | | /*! \name Constructors |
41 | | See the TermStructure documentation for issues regarding |
42 | | constructors. |
43 | | */ |
44 | | //@{ |
45 | | //! default constructor |
46 | | /*! \warning term structures initialized by means of this |
47 | | constructor must manage their own reference date |
48 | | by overriding the referenceDate() method. |
49 | | */ |
50 | | CallableBondVolatilityStructure(const DayCounter& dc = DayCounter(), |
51 | | BusinessDayConvention bdc = Following); |
52 | | //! initialize with a fixed reference date |
53 | | CallableBondVolatilityStructure(const Date& referenceDate, |
54 | | const Calendar& calendar = Calendar(), |
55 | | const DayCounter& dc = DayCounter(), |
56 | | BusinessDayConvention bdc = Following); |
57 | | //! calculate the reference date based on the global evaluation date |
58 | | CallableBondVolatilityStructure(Natural settlementDays, |
59 | | const Calendar&, |
60 | | const DayCounter& dc = DayCounter(), |
61 | | BusinessDayConvention bdc = Following); |
62 | | //@} |
63 | 0 | ~CallableBondVolatilityStructure() override = default; |
64 | | //! \name Volatility, variance and smile |
65 | | //@{ |
66 | | //! returns the volatility for a given option time and bondLength |
67 | | Volatility volatility(Time optionTime, |
68 | | Time bondLength, |
69 | | Rate strike, |
70 | | bool extrapolate = false) const; |
71 | | //! returns the Black variance for a given option time and bondLength |
72 | | Real blackVariance(Time optionTime, |
73 | | Time bondLength, |
74 | | Rate strike, |
75 | | bool extrapolate = false) const; |
76 | | |
77 | | //! returns the volatility for a given option date and bond tenor |
78 | | Volatility volatility(const Date& optionDate, |
79 | | const Period& bondTenor, |
80 | | Rate strike, |
81 | | bool extrapolate = false) const; |
82 | | //! returns the Black variance for a given option date and bond tenor |
83 | | Real blackVariance(const Date& optionDate, |
84 | | const Period& bondTenor, |
85 | | Rate strike, |
86 | | bool extrapolate = false) const; |
87 | | virtual ext::shared_ptr<SmileSection> smileSection( |
88 | | const Date& optionDate, |
89 | 0 | const Period& bondTenor) const { |
90 | 0 | const std::pair<Time, Time> p = convertDates(optionDate, bondTenor); |
91 | 0 | return smileSectionImpl(p.first, p.second); |
92 | 0 | } |
93 | | |
94 | | //! returns the volatility for a given option tenor and bond tenor |
95 | | Volatility volatility(const Period& optionTenor, |
96 | | const Period& bondTenor, |
97 | | Rate strike, |
98 | | bool extrapolate = false) const; |
99 | | //! returns the Black variance for a given option tenor and bond tenor |
100 | | Real blackVariance(const Period& optionTenor, |
101 | | const Period& bondTenor, |
102 | | Rate strike, |
103 | | bool extrapolate = false) const; |
104 | | ext::shared_ptr<SmileSection> smileSection( |
105 | | const Period& optionTenor, |
106 | | const Period& bondTenor) const; |
107 | | //@} |
108 | | //! \name Limits |
109 | | //@{ |
110 | | //! the largest length for which the term structure can return vols |
111 | | virtual const Period& maxBondTenor() const = 0; |
112 | | //! the largest bondLength for which the term structure can return vols |
113 | | virtual Time maxBondLength() const; |
114 | | //! the minimum strike for which the term structure can return vols |
115 | | virtual Rate minStrike() const = 0; |
116 | | //! the maximum strike for which the term structure can return vols |
117 | | virtual Rate maxStrike() const = 0; |
118 | | //@} |
119 | | //! implements the conversion between dates and times |
120 | | virtual std::pair<Time,Time> convertDates( |
121 | | const Date& optionDate, |
122 | | const Period& bondTenor) const; |
123 | | //! the business day convention used for option date calculation |
124 | | virtual BusinessDayConvention businessDayConvention() const; |
125 | | //! implements the conversion between optionTenors and optionDates |
126 | | Date optionDateFromTenor(const Period& optionTenor) const; |
127 | | protected: |
128 | | |
129 | | //! return smile section |
130 | | virtual ext::shared_ptr<SmileSection> smileSectionImpl( |
131 | | Time optionTime, |
132 | | Time bondLength) const = 0; |
133 | | |
134 | | //! implements the actual volatility calculation in derived classes |
135 | | virtual Volatility volatilityImpl(Time optionTime, |
136 | | Time bondLength, |
137 | | Rate strike) const = 0; |
138 | | virtual Volatility volatilityImpl(const Date& optionDate, |
139 | | const Period& bondTenor, |
140 | 0 | Rate strike) const { |
141 | 0 | const std::pair<Time, Time> p = convertDates(optionDate, bondTenor); |
142 | 0 | return volatilityImpl(p.first, p.second, strike); |
143 | 0 | } |
144 | | void checkRange(Time, Time, Rate strike, bool extrapolate) const; |
145 | | void checkRange(const Date& optionDate, |
146 | | const Period& bondTenor, |
147 | | Rate strike, bool extrapolate) const; |
148 | | private: |
149 | | BusinessDayConvention bdc_; |
150 | | }; |
151 | | |
152 | | |
153 | | // inline definitions |
154 | | |
155 | | inline BusinessDayConvention |
156 | 0 | CallableBondVolatilityStructure::businessDayConvention() const { |
157 | 0 | return bdc_; |
158 | 0 | } |
159 | | |
160 | | inline Date CallableBondVolatilityStructure::optionDateFromTenor( |
161 | 0 | const Period& optionTenor) const { |
162 | 0 | return calendar().advance(referenceDate(), |
163 | 0 | optionTenor, |
164 | 0 | businessDayConvention()); |
165 | 0 | } |
166 | | |
167 | | inline Volatility CallableBondVolatilityStructure::volatility( |
168 | | Time optionTime, |
169 | | Time bondLength, |
170 | | Rate strike, |
171 | 0 | bool extrapolate) const { |
172 | 0 | checkRange(optionTime, bondLength, strike, extrapolate); |
173 | 0 | return volatilityImpl(optionTime, bondLength, strike); |
174 | 0 | } |
175 | | |
176 | | |
177 | | inline Real CallableBondVolatilityStructure::blackVariance( |
178 | | Time optionTime, |
179 | | Time bondLength, |
180 | | Rate strike, |
181 | 0 | bool extrapolate) const { |
182 | 0 | checkRange(optionTime, bondLength, strike, extrapolate); |
183 | 0 | Volatility vol = volatilityImpl(optionTime, bondLength, strike); |
184 | 0 | return vol*vol*optionTime; |
185 | 0 | } |
186 | | |
187 | | |
188 | | inline Volatility CallableBondVolatilityStructure::volatility( |
189 | | const Date& optionDate, |
190 | | const Period& bondTenor, |
191 | | Rate strike, |
192 | 0 | bool extrapolate) const { |
193 | 0 | checkRange(optionDate, bondTenor, strike, extrapolate); |
194 | 0 | return volatilityImpl(optionDate, bondTenor, strike); |
195 | 0 | } |
196 | | |
197 | | inline Real CallableBondVolatilityStructure::blackVariance( |
198 | | const Date& optionDate, |
199 | | const Period& bondTenor, |
200 | | Rate strike, |
201 | 0 | bool extrapolate) const { |
202 | 0 | Volatility vol = |
203 | 0 | volatility(optionDate, bondTenor, strike, extrapolate); |
204 | 0 | const std::pair<Time, Time> p = convertDates(optionDate, bondTenor); |
205 | 0 | return vol*vol*p.first; |
206 | 0 | } |
207 | | |
208 | | inline Volatility CallableBondVolatilityStructure::volatility( |
209 | | const Period& optionTenor, |
210 | | const Period& bondTenor, |
211 | | Rate strike, |
212 | 0 | bool extrapolate) const { |
213 | 0 | Date optionDate = optionDateFromTenor(optionTenor); |
214 | 0 | return volatility(optionDate, bondTenor, strike, extrapolate); |
215 | 0 | } |
216 | | |
217 | | inline Real CallableBondVolatilityStructure::blackVariance( |
218 | | const Period& optionTenor, |
219 | | const Period& bondTenor, |
220 | | Rate strike, |
221 | 0 | bool extrapolate) const { |
222 | 0 | Date optionDate = optionDateFromTenor(optionTenor); |
223 | 0 | Volatility vol = |
224 | 0 | volatility(optionDate, bondTenor, strike, extrapolate); |
225 | 0 | const std::pair<Time, Time> p = convertDates(optionDate, bondTenor); |
226 | 0 | return vol*vol*p.first; |
227 | 0 | } |
228 | | |
229 | | |
230 | | inline ext::shared_ptr<SmileSection> |
231 | | CallableBondVolatilityStructure::smileSection( |
232 | | const Period& optionTenor, |
233 | 0 | const Period& bondTenor) const { |
234 | 0 | Date optionDate = optionDateFromTenor(optionTenor); |
235 | 0 | return smileSection(optionDate, bondTenor); |
236 | 0 | } |
237 | | |
238 | | |
239 | | inline void CallableBondVolatilityStructure::checkRange( |
240 | 0 | Time optionTime, Time bondLength, Rate k, bool extrapolate) const { |
241 | 0 | TermStructure::checkRange(optionTime, extrapolate); |
242 | 0 | QL_REQUIRE(bondLength >= 0.0, |
243 | 0 | "negative bondLength (" << bondLength << ") given"); |
244 | 0 | QL_REQUIRE(extrapolate || allowsExtrapolation() || |
245 | 0 | bondLength <= maxBondLength(), |
246 | 0 | "bondLength (" << bondLength << ") is past max curve bondLength (" |
247 | 0 | << maxBondLength() << ")"); |
248 | 0 | QL_REQUIRE(extrapolate || allowsExtrapolation() || |
249 | 0 | (k >= minStrike() && k <= maxStrike()), |
250 | 0 | "strike (" << k << ") is outside the curve domain [" |
251 | 0 | << minStrike() << "," << maxStrike()<< "]"); |
252 | 0 | } |
253 | | |
254 | | } |
255 | | |
256 | | #endif |