QuantLib: a free/open-source library for quantitative finance
fully annotated source code - version 1.34
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coxingersollrossprocess.cpp
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1/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
2
3/*
4 Copyright (C) 2020 Lew Wei Hao
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
21
22namespace QuantLib {
23
25 Volatility vol,
26 Real x0,
27 Real level)
28 : x0_(x0), speed_(speed), level_(level), volatility_(vol) {
29 QL_REQUIRE(volatility_ >= 0.0, "negative volatility given");
30 }
31
33 Real exponent1 = std::exp(-speed_ * dt);
34 Real exponent2 = std::exp(-2 * speed_ * dt);
35 Real fraction = (volatility_ * volatility_) / speed_;
36
37 return x0_ * fraction * (exponent1 - exponent2) + level_ * fraction * (1 - exponent1) * (1 - exponent1);
38 }
39
40}
41
CoxIngersollRossProcess(Real speed, Volatility vol, Real x0=0.0, Real level=0.0)
Real variance(Time t0, Real x0, Time dt) const override
CoxIngersollRoss process.
#define QL_REQUIRE(condition, message)
throw an error if the given pre-condition is not verified
Definition: errors.hpp:117
Real Time
continuous quantity with 1-year units
Definition: types.hpp:62
QL_REAL Real
real number
Definition: types.hpp:50
Real Volatility
volatility
Definition: types.hpp:78
Definition: any.hpp:35