QuantLib: a free/open-source library for quantitative finance
fully annotated source code - version 1.34
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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 <http://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
22
23namespace QuantLib {
24
26 const ext::shared_ptr<GeneralizedBlackScholesProcess>& p,
27 Real value, Real delta, Real gamma) {
28
29 Real u = p->stateVariable()->value();
30 Rate r = p->riskFreeRate()->zeroRate(0.0, Continuous);
31 Rate q = p->dividendYield()->zeroRate(0.0, Continuous);
32 Volatility v = p->localVolatility()->localVol(0.0, u);
33
34 return r*value -(r-q)*u*delta - 0.5*v*v*u*u*gamma;
35 }
36
38 return theta/365.0;
39 }
40
41}
Black-Scholes processes.
default greek calculations
QL_REAL Real
real number
Definition: types.hpp:50
Real Volatility
volatility
Definition: types.hpp:78
Real Rate
interest rates
Definition: types.hpp:70
Real theta
Definition: any.hpp:35
Real defaultThetaPerDay(Real theta)
default theta-per-day calculation
Definition: greeks.cpp:37
Real blackScholesTheta(const ext::shared_ptr< GeneralizedBlackScholesProcess > &p, Real value, Real delta, Real gamma)
default theta calculation for Black-Scholes options
Definition: greeks.cpp:25
ext::shared_ptr< YieldTermStructure > q
ext::shared_ptr< YieldTermStructure > r
ext::shared_ptr< BlackVolTermStructure > v