/src/quantlib/ql/pricingengines/vanilla/analyticeuropeanengine.cpp
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1 | | /* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ |
2 | | |
3 | | /* |
4 | | Copyright (C) 2003 Ferdinando Ametrano |
5 | | Copyright (C) 2007 StatPro Italia srl |
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 | | <https://www.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 | | #include <ql/exercise.hpp> |
22 | | #include <ql/pricingengines/blackcalculator.hpp> |
23 | | #include <ql/pricingengines/vanilla/analyticeuropeanengine.hpp> |
24 | | #include <utility> |
25 | | |
26 | | namespace QuantLib { |
27 | | |
28 | | AnalyticEuropeanEngine::AnalyticEuropeanEngine( |
29 | | ext::shared_ptr<GeneralizedBlackScholesProcess> process) |
30 | 0 | : process_(std::move(process)) { |
31 | 0 | registerWith(process_); |
32 | 0 | } |
33 | | |
34 | | AnalyticEuropeanEngine::AnalyticEuropeanEngine( |
35 | | ext::shared_ptr<GeneralizedBlackScholesProcess> process, |
36 | | Handle<YieldTermStructure> discountCurve) |
37 | 0 | : process_(std::move(process)), discountCurve_(std::move(discountCurve)) { |
38 | 0 | registerWith(process_); |
39 | 0 | registerWith(discountCurve_); |
40 | 0 | } |
41 | | |
42 | 0 | void AnalyticEuropeanEngine::calculate() const { |
43 | | |
44 | | // if the discount curve is not specified, we default to the |
45 | | // risk free rate curve embedded within the GBM process |
46 | 0 | ext::shared_ptr<YieldTermStructure> discountPtr = |
47 | 0 | discountCurve_.empty() ? |
48 | 0 | process_->riskFreeRate().currentLink() : |
49 | 0 | discountCurve_.currentLink(); |
50 | |
|
51 | 0 | QL_REQUIRE(arguments_.exercise->type() == Exercise::European, |
52 | 0 | "not an European option"); |
53 | | |
54 | 0 | ext::shared_ptr<StrikedTypePayoff> payoff = |
55 | 0 | ext::dynamic_pointer_cast<StrikedTypePayoff>(arguments_.payoff); |
56 | 0 | QL_REQUIRE(payoff, "non-striked payoff given"); |
57 | | |
58 | 0 | Real variance = |
59 | 0 | process_->blackVolatility()->blackVariance( |
60 | 0 | arguments_.exercise->lastDate(), |
61 | 0 | payoff->strike()); |
62 | 0 | DiscountFactor dividendDiscount = |
63 | 0 | process_->dividendYield()->discount( |
64 | 0 | arguments_.exercise->lastDate()); |
65 | 0 | DiscountFactor df = discountPtr->discount(arguments_.exercise->lastDate()); |
66 | 0 | DiscountFactor riskFreeDiscountForFwdEstimation = |
67 | 0 | process_->riskFreeRate()->discount(arguments_.exercise->lastDate()); |
68 | 0 | Real spot = process_->stateVariable()->value(); |
69 | 0 | QL_REQUIRE(spot > 0.0, "negative or null underlying given"); |
70 | 0 | Real forwardPrice = spot * dividendDiscount / riskFreeDiscountForFwdEstimation; |
71 | |
|
72 | 0 | BlackCalculator black(payoff, forwardPrice, std::sqrt(variance),df); |
73 | | |
74 | |
|
75 | 0 | results_.value = black.value(); |
76 | 0 | results_.delta = black.delta(spot); |
77 | 0 | results_.deltaForward = black.deltaForward(); |
78 | 0 | results_.elasticity = black.elasticity(spot); |
79 | 0 | results_.gamma = black.gamma(spot); |
80 | |
|
81 | 0 | DayCounter rfdc = discountPtr->dayCounter(); |
82 | 0 | DayCounter divdc = process_->dividendYield()->dayCounter(); |
83 | 0 | DayCounter voldc = process_->blackVolatility()->dayCounter(); |
84 | 0 | Time t = rfdc.yearFraction(process_->riskFreeRate()->referenceDate(), |
85 | 0 | arguments_.exercise->lastDate()); |
86 | 0 | results_.rho = black.rho(t); |
87 | |
|
88 | 0 | t = divdc.yearFraction(process_->dividendYield()->referenceDate(), |
89 | 0 | arguments_.exercise->lastDate()); |
90 | 0 | results_.dividendRho = black.dividendRho(t); |
91 | |
|
92 | 0 | t = voldc.yearFraction(process_->blackVolatility()->referenceDate(), |
93 | 0 | arguments_.exercise->lastDate()); |
94 | 0 | results_.vega = black.vega(t); |
95 | 0 | try { |
96 | 0 | results_.theta = black.theta(spot, t); |
97 | 0 | results_.thetaPerDay = |
98 | 0 | black.thetaPerDay(spot, t); |
99 | 0 | } catch (Error&) { |
100 | 0 | results_.theta = Null<Real>(); |
101 | 0 | results_.thetaPerDay = Null<Real>(); |
102 | 0 | } |
103 | |
|
104 | 0 | results_.strikeSensitivity = black.strikeSensitivity(); |
105 | 0 | results_.itmCashProbability = black.itmCashProbability(); |
106 | |
|
107 | 0 | Real tte = process_->blackVolatility()->timeFromReference(arguments_.exercise->lastDate()); |
108 | 0 | results_.additionalResults["spot"] = spot; |
109 | 0 | results_.additionalResults["dividendDiscount"] = dividendDiscount; |
110 | 0 | results_.additionalResults["riskFreeDiscount"] = riskFreeDiscountForFwdEstimation; |
111 | 0 | results_.additionalResults["forward"] = forwardPrice; |
112 | 0 | results_.additionalResults["strike"] = payoff->strike(); |
113 | 0 | results_.additionalResults["volatility"] = Real(std::sqrt(variance / tte)); |
114 | 0 | results_.additionalResults["timeToExpiry"] = tte; |
115 | 0 | } |
116 | | |
117 | | } |
118 | | |