/src/quantlib/ql/pricingengines/barrier/mcbarrierengine.cpp
Line | Count | Source |
1 | | /* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ |
2 | | |
3 | | /* |
4 | | Copyright (C) 2003 Neil Firth |
5 | | Copyright (C) 2003 Ferdinando Ametrano |
6 | | Copyright (C) 2003, 2004, 2005 StatPro Italia srl |
7 | | |
8 | | This file is part of QuantLib, a free-software/open-source library |
9 | | for financial quantitative analysts and developers - http://quantlib.org/ |
10 | | |
11 | | QuantLib is free software: you can redistribute it and/or modify it |
12 | | under the terms of the QuantLib license. You should have received a |
13 | | copy of the license along with this program; if not, please email |
14 | | <quantlib-dev@lists.sf.net>. The license is also available online at |
15 | | <https://www.quantlib.org/license.shtml>. |
16 | | |
17 | | This program is distributed in the hope that it will be useful, but WITHOUT |
18 | | ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS |
19 | | FOR A PARTICULAR PURPOSE. See the license for more details. |
20 | | */ |
21 | | |
22 | | #include <ql/pricingengines/barrier/mcbarrierengine.hpp> |
23 | | #include <utility> |
24 | | |
25 | | namespace QuantLib { |
26 | | |
27 | | BarrierPathPricer::BarrierPathPricer(Barrier::Type barrierType, |
28 | | Real barrier, |
29 | | Real rebate, |
30 | | Option::Type type, |
31 | | Real strike, |
32 | | std::vector<DiscountFactor> discounts, |
33 | | ext::shared_ptr<StochasticProcess1D> diffProcess, |
34 | | PseudoRandom::ursg_type sequenceGen) |
35 | 0 | : barrierType_(barrierType), barrier_(barrier), rebate_(rebate), |
36 | 0 | diffProcess_(std::move(diffProcess)), sequenceGen_(std::move(sequenceGen)), |
37 | 0 | payoff_(type, strike), discounts_(std::move(discounts)) { |
38 | 0 | QL_REQUIRE(strike>=0.0, |
39 | 0 | "strike less than zero not allowed"); |
40 | 0 | QL_REQUIRE(barrier>0.0, |
41 | 0 | "barrier less/equal zero not allowed"); |
42 | 0 | } |
43 | | |
44 | | |
45 | 0 | Real BarrierPathPricer::operator()(const Path& path) const { |
46 | 0 | static Size null = Null<Size>(); |
47 | 0 | Size n = path.length(); |
48 | 0 | QL_REQUIRE(n>1, "the path cannot be empty"); |
49 | | |
50 | 0 | bool isOptionActive = false; |
51 | 0 | Size knockNode = null; |
52 | 0 | Real asset_price = path.front(); |
53 | 0 | Real new_asset_price; |
54 | 0 | Real x, y; |
55 | 0 | Volatility vol; |
56 | 0 | const TimeGrid& timeGrid = path.timeGrid(); |
57 | 0 | Time dt; |
58 | 0 | std::vector<Real> u = sequenceGen_.nextSequence().value; |
59 | 0 | Size i; |
60 | |
|
61 | 0 | switch (barrierType_) { |
62 | 0 | case Barrier::DownIn: |
63 | 0 | isOptionActive = false; |
64 | 0 | for (i = 0; i < n-1; i++) { |
65 | 0 | new_asset_price = path[i+1]; |
66 | | // terminal or initial vol? |
67 | 0 | vol = diffProcess_->diffusion(timeGrid[i],asset_price); |
68 | 0 | dt = timeGrid.dt(i); |
69 | |
|
70 | 0 | x = std::log(new_asset_price / asset_price); |
71 | 0 | y = 0.5*(x - std::sqrt (x*x - 2*vol*vol*dt*std::log(u[i]))); |
72 | 0 | y = asset_price * std::exp(y); |
73 | 0 | if (y <= barrier_) { |
74 | 0 | isOptionActive = true; |
75 | 0 | if (knockNode == null) |
76 | 0 | knockNode = i+1; |
77 | 0 | } |
78 | 0 | asset_price = new_asset_price; |
79 | 0 | } |
80 | 0 | break; |
81 | 0 | case Barrier::UpIn: |
82 | 0 | isOptionActive = false; |
83 | 0 | for (i = 0; i < n-1; i++) { |
84 | 0 | new_asset_price = path[i+1]; |
85 | | // terminal or initial vol? |
86 | 0 | vol = diffProcess_->diffusion(timeGrid[i],asset_price); |
87 | 0 | dt = timeGrid.dt(i); |
88 | |
|
89 | 0 | x = std::log(new_asset_price / asset_price); |
90 | 0 | y = 0.5*(x + std::sqrt(x*x - 2*vol*vol*dt*std::log((1-u[i])))); |
91 | 0 | y = asset_price * std::exp(y); |
92 | 0 | if (y >= barrier_) { |
93 | 0 | isOptionActive = true; |
94 | 0 | if (knockNode == null) |
95 | 0 | knockNode = i+1; |
96 | 0 | } |
97 | 0 | asset_price = new_asset_price; |
98 | 0 | } |
99 | 0 | break; |
100 | 0 | case Barrier::DownOut: |
101 | 0 | isOptionActive = true; |
102 | 0 | for (i = 0; i < n-1; i++) { |
103 | 0 | new_asset_price = path[i+1]; |
104 | | // terminal or initial vol? |
105 | 0 | vol = diffProcess_->diffusion(timeGrid[i],asset_price); |
106 | 0 | dt = timeGrid.dt(i); |
107 | |
|
108 | 0 | x = std::log(new_asset_price / asset_price); |
109 | 0 | y = 0.5*(x - std::sqrt(x*x - 2*vol*vol*dt*std::log(u[i]))); |
110 | 0 | y = asset_price * std::exp(y); |
111 | 0 | if (y <= barrier_) { |
112 | 0 | isOptionActive = false; |
113 | 0 | if (knockNode == null) |
114 | 0 | knockNode = i+1; |
115 | 0 | } |
116 | 0 | asset_price = new_asset_price; |
117 | 0 | } |
118 | 0 | break; |
119 | 0 | case Barrier::UpOut: |
120 | 0 | isOptionActive = true; |
121 | 0 | for (i = 0; i < n-1; i++) { |
122 | 0 | new_asset_price = path[i+1]; |
123 | | // terminal or initial vol? |
124 | 0 | vol = diffProcess_->diffusion(timeGrid[i],asset_price); |
125 | 0 | dt = timeGrid.dt(i); |
126 | |
|
127 | 0 | x = std::log(new_asset_price / asset_price); |
128 | 0 | y = 0.5*(x + std::sqrt(x*x - 2*vol*vol*dt*std::log((1-u[i])))); |
129 | 0 | y = asset_price * std::exp(y); |
130 | 0 | if (y >= barrier_) { |
131 | 0 | isOptionActive = false; |
132 | 0 | if (knockNode == null) |
133 | 0 | knockNode = i+1; |
134 | 0 | } |
135 | 0 | asset_price = new_asset_price; |
136 | 0 | } |
137 | 0 | break; |
138 | 0 | default: |
139 | 0 | QL_FAIL("unknown barrier type"); |
140 | 0 | } |
141 | | |
142 | 0 | if (isOptionActive) { |
143 | 0 | return payoff_(asset_price) * discounts_.back(); |
144 | 0 | } else { |
145 | 0 | switch (barrierType_) { |
146 | 0 | case Barrier::UpIn: |
147 | 0 | case Barrier::DownIn: |
148 | 0 | return rebate_*discounts_.back(); |
149 | 0 | case Barrier::UpOut: |
150 | 0 | case Barrier::DownOut: |
151 | 0 | return rebate_*discounts_[knockNode]; |
152 | 0 | default: |
153 | 0 | QL_FAIL("unknown barrier type"); |
154 | 0 | } |
155 | 0 | } |
156 | 0 | } |
157 | | |
158 | | |
159 | | BiasedBarrierPathPricer::BiasedBarrierPathPricer(Barrier::Type barrierType, |
160 | | Real barrier, |
161 | | Real rebate, |
162 | | Option::Type type, |
163 | | Real strike, |
164 | | std::vector<DiscountFactor> discounts) |
165 | 0 | : barrierType_(barrierType), barrier_(barrier), rebate_(rebate), payoff_(type, strike), |
166 | 0 | discounts_(std::move(discounts)) { |
167 | 0 | QL_REQUIRE(strike>=0.0, |
168 | 0 | "strike less than zero not allowed"); |
169 | 0 | QL_REQUIRE(barrier>0.0, |
170 | 0 | "barrier less/equal zero not allowed"); |
171 | 0 | } |
172 | | |
173 | | |
174 | 0 | Real BiasedBarrierPathPricer::operator()(const Path& path) const { |
175 | 0 | static Size null = Null<Size>(); |
176 | 0 | Size n = path.length(); |
177 | 0 | QL_REQUIRE(n>1, "the path cannot be empty"); |
178 | | |
179 | 0 | bool isOptionActive = false; |
180 | 0 | Size knockNode = null; |
181 | 0 | Real asset_price = path.front(); |
182 | 0 | Size i; |
183 | |
|
184 | 0 | switch (barrierType_) { |
185 | 0 | case Barrier::DownIn: |
186 | 0 | isOptionActive = false; |
187 | 0 | for (i = 1; i < n; i++) { |
188 | 0 | asset_price = path[i]; |
189 | 0 | if (asset_price <= barrier_) { |
190 | 0 | isOptionActive = true; |
191 | 0 | if (knockNode == null) |
192 | 0 | knockNode = i; |
193 | 0 | } |
194 | 0 | } |
195 | 0 | break; |
196 | 0 | case Barrier::UpIn: |
197 | 0 | isOptionActive = false; |
198 | 0 | for (i = 1; i < n; i++) { |
199 | 0 | asset_price = path[i]; |
200 | 0 | if (asset_price >= barrier_) { |
201 | 0 | isOptionActive = true; |
202 | 0 | if (knockNode == null) |
203 | 0 | knockNode = i; |
204 | 0 | } |
205 | 0 | } |
206 | 0 | break; |
207 | 0 | case Barrier::DownOut: |
208 | 0 | isOptionActive = true; |
209 | 0 | for (i = 1; i < n; i++) { |
210 | 0 | asset_price = path[i]; |
211 | 0 | if (asset_price <= barrier_) { |
212 | 0 | isOptionActive = false; |
213 | 0 | if (knockNode == null) |
214 | 0 | knockNode = i; |
215 | 0 | } |
216 | 0 | } |
217 | 0 | break; |
218 | 0 | case Barrier::UpOut: |
219 | 0 | isOptionActive = true; |
220 | 0 | for (i = 1; i < n; i++) { |
221 | 0 | asset_price = path[i]; |
222 | 0 | if (asset_price >= barrier_) { |
223 | 0 | isOptionActive = false; |
224 | 0 | if (knockNode == null) |
225 | 0 | knockNode = i; |
226 | 0 | } |
227 | 0 | } |
228 | 0 | break; |
229 | 0 | default: |
230 | 0 | QL_FAIL("unknown barrier type"); |
231 | 0 | } |
232 | | |
233 | 0 | if (isOptionActive) { |
234 | 0 | return payoff_(asset_price) * discounts_.back(); |
235 | 0 | } else { |
236 | 0 | switch (barrierType_) { |
237 | 0 | case Barrier::UpIn: |
238 | 0 | case Barrier::DownIn: |
239 | 0 | return rebate_*discounts_.back(); |
240 | 0 | case Barrier::UpOut: |
241 | 0 | case Barrier::DownOut: |
242 | 0 | return rebate_*discounts_[knockNode]; |
243 | 0 | default: |
244 | | QL_FAIL("unknown barrier type"); |
245 | 0 | } |
246 | 0 | } |
247 | 0 | } |
248 | | |
249 | | } |