/src/quantlib/ql/pricingengines/exotic/analyticsimplechooserengine.cpp
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1 | | /* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ |
2 | | |
3 | | /* |
4 | | Copyright (C) 2010 Master IMAFA - Polytech'Nice Sophia - Université de Nice Sophia Antipolis |
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 | | <https://www.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 | | #include <ql/exercise.hpp> |
21 | | #include <ql/pricingengines/exotic/analyticsimplechooserengine.hpp> |
22 | | #include <ql/instruments/payoffs.hpp> |
23 | | #include <ql/math/distributions/normaldistribution.hpp> |
24 | | #include <utility> |
25 | | |
26 | | namespace QuantLib { |
27 | | |
28 | | AnalyticSimpleChooserEngine::AnalyticSimpleChooserEngine( |
29 | | ext::shared_ptr<GeneralizedBlackScholesProcess> process) |
30 | 0 | : process_(std::move(process)) { |
31 | 0 | registerWith(process_); |
32 | 0 | } |
33 | | |
34 | 0 | void AnalyticSimpleChooserEngine::calculate() const { |
35 | 0 | Date today = Settings::instance().evaluationDate(); |
36 | 0 | DayCounter rfdc = process_->riskFreeRate()->dayCounter(); |
37 | 0 | DayCounter divdc = process_->dividendYield()->dayCounter(); |
38 | 0 | DayCounter voldc = process_->blackVolatility()->dayCounter(); |
39 | 0 | QL_REQUIRE(rfdc==divdc, |
40 | 0 | "Risk-free rate and dividend yield must" |
41 | 0 | "have the same day counter"); |
42 | 0 | QL_REQUIRE(rfdc==voldc, |
43 | 0 | "Risk-free rate and volatility must" |
44 | 0 | "have the same day counter"); |
45 | 0 | Real spot = process_->stateVariable()->value(); |
46 | 0 | auto payoff = ext::dynamic_pointer_cast<StrikedTypePayoff>(arguments_.payoff); |
47 | 0 | QL_REQUIRE(payoff, "non-plain payoff given"); |
48 | 0 | Real strike = payoff->strike(); |
49 | 0 | Volatility volatility = process_->blackVolatility()->blackVol( |
50 | 0 | arguments_.exercise->lastDate(), |
51 | 0 | strike); |
52 | 0 | Date maturity = arguments_.exercise->lastDate(); |
53 | 0 | Real timeToMaturity = rfdc.yearFraction(today,maturity); |
54 | 0 | Real timeToChoosing = rfdc.yearFraction(today,arguments_.choosingDate); |
55 | 0 | Rate dividendRate = |
56 | 0 | process_->dividendYield()->zeroRate(maturity, divdc, |
57 | 0 | Continuous, NoFrequency); |
58 | 0 | Rate riskFreeRate = |
59 | 0 | process_->riskFreeRate()->zeroRate(maturity, rfdc, |
60 | 0 | Continuous, NoFrequency); |
61 | |
|
62 | 0 | QL_REQUIRE(spot > 0.0, "negative or null spot value"); |
63 | 0 | QL_REQUIRE(strike > 0.0, "negative or null strike value"); |
64 | 0 | QL_REQUIRE(volatility > 0.0, |
65 | 0 | "negative or null volatility"); |
66 | 0 | QL_REQUIRE(timeToChoosing > 0.0, |
67 | 0 | "choosing date earlier than or equal to evaluation date"); |
68 | | |
69 | 0 | Real d = (std::log(spot/strike) |
70 | 0 | + ((riskFreeRate-dividendRate) + volatility*volatility*0.5)*timeToMaturity) |
71 | 0 | /(volatility*std::sqrt(timeToMaturity)); |
72 | |
|
73 | 0 | Real y = (std::log(spot/strike) + (riskFreeRate-dividendRate)*timeToMaturity |
74 | 0 | + (volatility*volatility*timeToChoosing/2)) |
75 | 0 | /(volatility*std::sqrt(timeToChoosing)); |
76 | |
|
77 | 0 | CumulativeNormalDistribution f; |
78 | |
|
79 | 0 | results_.value = spot*std::exp(-dividendRate*timeToMaturity)*f(d) |
80 | 0 | - strike*std::exp(-riskFreeRate*timeToMaturity) |
81 | 0 | *f(d-volatility*std::sqrt(timeToMaturity)) |
82 | 0 | -spot*std::exp(-dividendRate*timeToMaturity)*f(-y) |
83 | 0 | +strike*std::exp(-riskFreeRate*timeToMaturity) |
84 | 0 | *f(-y+volatility*std::sqrt(timeToChoosing)); |
85 | 0 | } |
86 | | |
87 | | } |