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Log-Normal Stochastic Volatility Model: Moment Generating Function and Pricing of Vanilla Options

version (32.3 KB) by Artur Sepp
Compute option prices under log-normal stochastic volatility model and calibrate model parameters


Updated 23 May 2016

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% Implementation of the analytical approach for valuation of vanilla options under the log-normal stochastic volatility model
%Key functionality:
% 1) LogNormalBetaSVPricingMain for computing option prices and comparision to MC simulations
% 2) LogNormalBetaSVCalibrationMain for model calibration to market implied volatilities
% Implemented functionality in this file LogNormalBetaSVPricingMain:
% [1] Compute option prices in the lognormal beta SV model
% using Fourier inversion formulas with the moment generating function (MGF)
% computed by solving the system of ODE-s using:
% 1 - 4th order Runge-Kutta method (see the paper for analytical details) - preferable default method
% 2 - Rosenbrock stiff method
% 3 - Using Matlab ODE solver - slow and innacurate
% [2] Compute options prices by Monte-Carlo simulation of the log-normal SV model
% [3] Compare option prices between the analytic approach and MC simulation, and also implied volatilities from this prices
% [4] Supported are options on the equity and quadratic variance (QV)
% [5] Implemented jump size distributions: deterministic jumps in log-return and volatility
% Based on the paper:
% Sepp, A. (2016), Log-Normal Stochastic Volatility Model: Affine Decomposition of Moment Generating Function and Pricing of Vanilla Options
% Working paper available at SSRN:
% by Artur Sepp
% Last Update: March 7, 2016
% This code is distributed via the mathworks file-exchange and it is covered by the BSD license
% This code is being provided solely for information and general illustrative purposes.
% The author will not be responsible for numbers produced from using the code.

Cite As

Artur Sepp (2021). Log-Normal Stochastic Volatility Model: Moment Generating Function and Pricing of Vanilla Options (, MATLAB Central File Exchange. Retrieved .

Comments and Ratings (3)



York Yang

thanks very much

MATLAB Release Compatibility
Created with R2014b
Compatible with any release
Platform Compatibility
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