Abstract
This paper calibrates through loss functions the parameters of Heston’s stochastic volatility model by using two different methods: minimizing a nonlinear objective function (a loss function) with constraints on the values of the parameter and using a differential evolution algorithm. Both methods are applied to implied volatilities on the Mexican Stock Exchange Index with four maturities and twenty-eight strike prices. The selection criterion for the parameters is minimizing the value of the mean square error of the implied volatility. The first method has a better performance with less error and time. However, empirical results show that for both methods the adjustment of implied volatilities is better for options with long-term maturities than for short-term maturities.
© 2015, School of Accounting and Management, National Autonomous University of Mexico. All rights reserved. Publication of the article implies full assignment of property rights (copyright) in Journal of Accounting and Management. The publication mreserves the right to total or partial reproduction of the work in other print, electronic or any other alternative means, but always recognizing its responsibility.
Unless otherwise stated, all contents of the electronic edition of the journal are distributed under a license and distribution "Creative Commons Attribution-Noncommercial 4.0 International" (CC-by). You can see from here the version of the license information. This circumstance must be expressly stated in this way when necessary.