/src/quantlib/ql/termstructures/yield/bootstraptraits.hpp
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1 | | /* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ |
2 | | |
3 | | /* |
4 | | Copyright (C) 2005, 2007 StatPro Italia srl |
5 | | Copyright (C) 2011 Ferdinando Ametrano |
6 | | Copyright (C) 2007 Chris Kenyon |
7 | | Copyright (C) 2019 SoftSolutions! S.r.l. |
8 | | |
9 | | This file is part of QuantLib, a free-software/open-source library |
10 | | for financial quantitative analysts and developers - http://quantlib.org/ |
11 | | |
12 | | QuantLib is free software: you can redistribute it and/or modify it |
13 | | under the terms of the QuantLib license. You should have received a |
14 | | copy of the license along with this program; if not, please email |
15 | | <quantlib-dev@lists.sf.net>. The license is also available online at |
16 | | <https://www.quantlib.org/license.shtml>. |
17 | | |
18 | | This program is distributed in the hope that it will be useful, but WITHOUT |
19 | | ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS |
20 | | FOR A PARTICULAR PURPOSE. See the license for more details. |
21 | | */ |
22 | | |
23 | | /*! \file bootstraptraits.hpp |
24 | | \brief bootstrap traits |
25 | | */ |
26 | | |
27 | | #ifndef ql_bootstrap_traits_hpp |
28 | | #define ql_bootstrap_traits_hpp |
29 | | |
30 | | #include <ql/termstructures/yield/discountcurve.hpp> |
31 | | #include <ql/termstructures/yield/zerocurve.hpp> |
32 | | #include <ql/termstructures/yield/interpolatedsimplezerocurve.hpp> |
33 | | #include <ql/termstructures/yield/forwardcurve.hpp> |
34 | | #include <ql/termstructures/bootstraphelper.hpp> |
35 | | |
36 | | namespace QuantLib { |
37 | | |
38 | | namespace detail { |
39 | | const Real avgRate = 0.05; |
40 | | const Real maxRate = 1.0; |
41 | | } |
42 | | |
43 | | //! Discount-curve traits |
44 | | struct Discount { |
45 | | // interpolated curve type |
46 | | template <class Interpolator> |
47 | | struct curve { |
48 | | typedef InterpolatedDiscountCurve<Interpolator> type; |
49 | | }; |
50 | | // helper class |
51 | | typedef BootstrapHelper<YieldTermStructure> helper; |
52 | | |
53 | | // start of curve data |
54 | 0 | static Date initialDate(const YieldTermStructure* c) { |
55 | 0 | return c->referenceDate(); |
56 | 0 | } |
57 | | // value at reference date |
58 | 0 | static Real initialValue(const YieldTermStructure*) { |
59 | 0 | return 1.0; |
60 | 0 | } |
61 | | |
62 | | // guesses |
63 | | template <class C> |
64 | | static Real guess(Size i, |
65 | | const C* c, |
66 | | bool validData, |
67 | | Size) // firstAliveHelper |
68 | | { |
69 | | if (validData) // previous iteration value |
70 | | return c->data()[i]; |
71 | | |
72 | | if (i==1) // first pillar |
73 | | return 1.0/(1.0+detail::avgRate*c->times()[1]); |
74 | | |
75 | | // flat rate extrapolation |
76 | | Real r = -std::log(c->data()[i-1])/c->times()[i-1]; |
77 | | return std::exp(-r * c->times()[i]); |
78 | | } |
79 | | |
80 | | // possible constraints based on previous values |
81 | | template <class C> |
82 | | static Real minValueAfter(Size i, |
83 | | const C* c, |
84 | | bool validData, |
85 | | Size) // firstAliveHelper |
86 | | { |
87 | | if (validData) { |
88 | | return *(std::min_element(c->data().begin(), |
89 | | c->data().end()))/2.0; |
90 | | } |
91 | | Time dt = c->times()[i] - c->times()[i-1]; |
92 | | return c->data()[i-1] * std::exp(- detail::maxRate * dt); |
93 | | } |
94 | | template <class C> |
95 | | static Real maxValueAfter(Size i, |
96 | | const C* c, |
97 | | bool validData, |
98 | | Size) // firstAliveHelper |
99 | | { |
100 | | Time dt = c->times()[i] - c->times()[i-1]; |
101 | | return c->data()[i-1] * std::exp(detail::maxRate * dt); |
102 | | } |
103 | | |
104 | | // transformation to add constraints to an unconstrained optimization |
105 | | template <class C> |
106 | | static Real transformDirect(Real x, Size i, const C* c) |
107 | | { |
108 | | return std::exp(x); |
109 | | } |
110 | | template <class C> |
111 | | static Real transformInverse(Real x, Size i, const C* c) |
112 | | { |
113 | | return std::log(x); |
114 | | } |
115 | | |
116 | | // root-finding update |
117 | | static void updateGuess(std::vector<Real>& data, |
118 | | Real discount, |
119 | 0 | Size i) { |
120 | 0 | data[i] = discount; |
121 | 0 | } |
122 | | // upper bound for convergence loop |
123 | 0 | static Size maxIterations() { return 100; } |
124 | | }; |
125 | | |
126 | | |
127 | | //! Zero-curve traits |
128 | | struct ZeroYield { |
129 | | // interpolated curve type |
130 | | template <class Interpolator> |
131 | | struct curve { |
132 | | typedef InterpolatedZeroCurve<Interpolator> type; |
133 | | }; |
134 | | // helper class |
135 | | typedef BootstrapHelper<YieldTermStructure> helper; |
136 | | |
137 | | // start of curve data |
138 | 0 | static Date initialDate(const YieldTermStructure* c) { |
139 | 0 | return c->referenceDate(); |
140 | 0 | } |
141 | | // dummy value at reference date |
142 | 0 | static Real initialValue(const YieldTermStructure*) { |
143 | 0 | return detail::avgRate; |
144 | 0 | } |
145 | | |
146 | | // guesses |
147 | | template <class C> |
148 | | static Real guess(Size i, |
149 | | const C* c, |
150 | | bool validData, |
151 | | Size) // firstAliveHelper |
152 | | { |
153 | | if (validData) // previous iteration value |
154 | | return c->data()[i]; |
155 | | |
156 | | if (i==1) // first pillar |
157 | | return detail::avgRate; |
158 | | |
159 | | // extrapolate |
160 | | Date d = c->dates()[i]; |
161 | | return c->zeroRate(d, c->dayCounter(), |
162 | | Continuous, Annual, true); |
163 | | } |
164 | | |
165 | | // possible constraints based on previous values |
166 | | template <class C> |
167 | | static Real minValueAfter(Size, |
168 | | const C* c, |
169 | | bool validData, |
170 | | Size) // firstAliveHelper |
171 | | { |
172 | | if (validData) { |
173 | | Real r = *(std::min_element(c->data().begin(), c->data().end())); |
174 | | return r<0.0 ? Real(r*2.0) : Real(r/2.0); |
175 | | } |
176 | | // no constraints. |
177 | | // We choose as min a value very unlikely to be exceeded. |
178 | | return -detail::maxRate; |
179 | | } |
180 | | template <class C> |
181 | | static Real maxValueAfter(Size, |
182 | | const C* c, |
183 | | bool validData, |
184 | | Size) // firstAliveHelper |
185 | | { |
186 | | if (validData) { |
187 | | Real r = *(std::max_element(c->data().begin(), c->data().end())); |
188 | | return r<0.0 ? Real(r/2.0) : Real(r*2.0); |
189 | | } |
190 | | // no constraints. |
191 | | // We choose as max a value very unlikely to be exceeded. |
192 | | return detail::maxRate; |
193 | | } |
194 | | |
195 | | // transformation to add constraints to an unconstrained optimization |
196 | | template <class C> |
197 | | static Real transformDirect(Real x, Size i, const C* c) |
198 | | { |
199 | | return x; |
200 | | } |
201 | | template <class C> |
202 | | static Real transformInverse(Real x, Size i, const C* c) |
203 | | { |
204 | | return x; |
205 | | } |
206 | | |
207 | | // root-finding update |
208 | | static void updateGuess(std::vector<Real>& data, |
209 | | Real rate, |
210 | 0 | Size i) { |
211 | 0 | data[i] = rate; |
212 | 0 | if (i==1) |
213 | 0 | data[0] = rate; // first point is updated as well |
214 | 0 | } |
215 | | // upper bound for convergence loop |
216 | 0 | static Size maxIterations() { return 100; } |
217 | | }; |
218 | | |
219 | | |
220 | | //! Forward-curve traits |
221 | | struct ForwardRate { |
222 | | // interpolated curve type |
223 | | template <class Interpolator> |
224 | | struct curve { |
225 | | typedef InterpolatedForwardCurve<Interpolator> type; |
226 | | }; |
227 | | // helper class |
228 | | typedef BootstrapHelper<YieldTermStructure> helper; |
229 | | |
230 | | // start of curve data |
231 | 0 | static Date initialDate(const YieldTermStructure* c) { |
232 | 0 | return c->referenceDate(); |
233 | 0 | } |
234 | | // dummy value at reference date |
235 | 0 | static Real initialValue(const YieldTermStructure*) { |
236 | 0 | return detail::avgRate; |
237 | 0 | } |
238 | | |
239 | | // guesses |
240 | | template <class C> |
241 | | static Real guess(Size i, |
242 | | const C* c, |
243 | | bool validData, |
244 | | Size) // firstAliveHelper |
245 | | { |
246 | | if (validData) // previous iteration value |
247 | | return c->data()[i]; |
248 | | |
249 | | if (i==1) // first pillar |
250 | | return detail::avgRate; |
251 | | |
252 | | // extrapolate |
253 | | Date d = c->dates()[i]; |
254 | | return c->forwardRate(d, d, c->dayCounter(), |
255 | | Continuous, Annual, true); |
256 | | } |
257 | | |
258 | | // possible constraints based on previous values |
259 | | template <class C> |
260 | | static Real minValueAfter(Size, |
261 | | const C* c, |
262 | | bool validData, |
263 | | Size) // firstAliveHelper |
264 | | { |
265 | | if (validData) { |
266 | | Real r = *(std::min_element(c->data().begin(), c->data().end())); |
267 | | return r<0.0 ? Real(r*2.0) : Real(r/2.0); |
268 | | } |
269 | | // no constraints. |
270 | | // We choose as min a value very unlikely to be exceeded. |
271 | | return -detail::maxRate; |
272 | | } |
273 | | template <class C> |
274 | | static Real maxValueAfter(Size, |
275 | | const C* c, |
276 | | bool validData, |
277 | | Size) // firstAliveHelper |
278 | | { |
279 | | if (validData) { |
280 | | Real r = *(std::max_element(c->data().begin(), c->data().end())); |
281 | | return r<0.0 ? Real(r/2.0) : Real(r*2.0); |
282 | | } |
283 | | // no constraints. |
284 | | // We choose as max a value very unlikely to be exceeded. |
285 | | return detail::maxRate; |
286 | | } |
287 | | |
288 | | // transformation to add constraints to an unconstrained optimization |
289 | | template <class C> |
290 | | static Real transformDirect(Real x, Size i, const C* c) |
291 | | { |
292 | | return x; |
293 | | } |
294 | | template <class C> |
295 | | static Real transformInverse(Real x, Size i, const C* c) |
296 | | { |
297 | | return x; |
298 | | } |
299 | | |
300 | | // root-finding update |
301 | | static void updateGuess(std::vector<Real>& data, |
302 | | Real forward, |
303 | 0 | Size i) { |
304 | 0 | data[i] = forward; |
305 | 0 | if (i==1) |
306 | 0 | data[0] = forward; // first point is updated as well |
307 | 0 | } |
308 | | // upper bound for convergence loop |
309 | 0 | static Size maxIterations() { return 100; } |
310 | | }; |
311 | | |
312 | | //! Simple Zero-curve traits |
313 | | struct SimpleZeroYield { |
314 | | // interpolated curve type |
315 | | template <class Interpolator> |
316 | | struct curve { |
317 | | typedef InterpolatedSimpleZeroCurve<Interpolator> type; |
318 | | }; |
319 | | // helper class |
320 | | typedef BootstrapHelper<YieldTermStructure> helper; |
321 | | |
322 | | // start of curve data |
323 | 0 | static Date initialDate(const YieldTermStructure* c) { |
324 | 0 | return c->referenceDate(); |
325 | 0 | } |
326 | | // dummy value at reference date |
327 | 0 | static Real initialValue(const YieldTermStructure*) { |
328 | 0 | return detail::avgRate; |
329 | 0 | } |
330 | | |
331 | | // guesses |
332 | | template <class C> |
333 | | static Real guess(Size i, |
334 | | const C* c, |
335 | | bool validData, |
336 | | Size) // firstAliveHelper |
337 | | { |
338 | | if (validData) // previous iteration value |
339 | | return c->data()[i]; |
340 | | |
341 | | if (i==1) // first pillar |
342 | | return detail::avgRate; |
343 | | |
344 | | // extrapolate |
345 | | Date d = c->dates()[i]; |
346 | | return c->zeroRate(d, c->dayCounter(), |
347 | | Simple, Annual, true); |
348 | | } |
349 | | |
350 | | // possible constraints based on previous values |
351 | | template <class C> |
352 | | static Real minValueAfter(Size i, |
353 | | const C* c, |
354 | | bool validData, |
355 | | Size) // firstAliveHelper |
356 | | { |
357 | | Real result; |
358 | | if (validData) { |
359 | | Real r = *(std::min_element(c->data().begin(), c->data().end())); |
360 | | result = r<0.0 ? Real(r*2.0) : r/2.0; |
361 | | } else { |
362 | | // no constraints. |
363 | | // We choose as min a value very unlikely to be exceeded. |
364 | | result = -detail::maxRate; |
365 | | } |
366 | | return std::max(result, -1.0 / c->times()[i] + 1E-8); |
367 | | } |
368 | | template <class C> |
369 | | static Real maxValueAfter(Size, |
370 | | const C* c, |
371 | | bool validData, |
372 | | Size) // firstAliveHelper |
373 | | { |
374 | | if (validData) { |
375 | | Real r = *(std::max_element(c->data().begin(), c->data().end())); |
376 | | return r<0.0 ? Real(r/2.0) : r*2.0; |
377 | | } |
378 | | // no constraints. |
379 | | // We choose as max a value very unlikely to be exceeded. |
380 | | return detail::maxRate; |
381 | | } |
382 | | |
383 | | // transformation to add constraints to an unconstrained optimization |
384 | | template <class C> |
385 | | static Real transformDirect(Real x, Size i, const C* c) |
386 | | { |
387 | | return std::exp(x) + (-1.0 / c->times()[i] + 1E-8); |
388 | | } |
389 | | template <class C> |
390 | | static Real transformInverse(Real x, Size i, const C* c) |
391 | | { |
392 | | return std::log(x - (-1.0 / c->times()[i] + 1E-8)); |
393 | | } |
394 | | |
395 | | // root-finding update |
396 | | static void updateGuess(std::vector<Real>& data, |
397 | | Real rate, |
398 | 0 | Size i) { |
399 | 0 | data[i] = rate; |
400 | 0 | if (i==1) |
401 | 0 | data[0] = rate; // first point is updated as well |
402 | 0 | } |
403 | | // upper bound for convergence loop |
404 | 0 | static Size maxIterations() { return 100; } |
405 | | }; |
406 | | |
407 | | |
408 | | } |
409 | | |
410 | | #endif |