/src/quantlib/ql/pricingengines/greeks.cpp
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1 | | /* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ |
2 | | |
3 | | /* |
4 | | Copyright (C) 2005 StatPro Italia srl |
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/pricingengines/greeks.hpp> |
21 | | #include <ql/processes/blackscholesprocess.hpp> |
22 | | |
23 | | namespace QuantLib { |
24 | | |
25 | | Real blackScholesTheta( |
26 | | const ext::shared_ptr<GeneralizedBlackScholesProcess>& p, |
27 | 0 | Real value, Real delta, Real gamma) { |
28 | |
|
29 | 0 | Real u = p->stateVariable()->value(); |
30 | 0 | Rate r = p->riskFreeRate()->zeroRate(0.0, Continuous); |
31 | 0 | Rate q = p->dividendYield()->zeroRate(0.0, Continuous); |
32 | 0 | Volatility v = p->localVolatility()->localVol(0.0, u); |
33 | |
|
34 | 0 | return r*value -(r-q)*u*delta - 0.5*v*v*u*u*gamma; |
35 | 0 | } |
36 | | |
37 | 0 | Real defaultThetaPerDay(Real theta) { |
38 | 0 | return theta/365.0; |
39 | 0 | } |
40 | | |
41 | | } |