Abstract
The time series, used to describe the stock prices and Exchange rate, have two
characteristics: kurtosis and volatility. Actually, there are models that study kurtosis and volatility such as non lineal models: Garch models, conditional volatility and stochastic volatility models. These models are used in market risk for the forecasting of the exchange rate in the short term. The first models (Garch and conditional volatility) define volatility with its volatility from the past periods and volatility financial shocks. The second models are like Garch models but use a stochastic process knows as Wienner. This process uses simulating random walks of the exchange rate with simulating volatilities by stochastic equations. In this paper, we will analyze the performance of Garch models verses the actual models used to give forecast of the exchange rate.
References
Brandimarte, Paolo. Numerical Methods in Finance and Economics. Politécnico di Torino, Italy.2006
Bollerslev, T.; Engle, R.F. y Nelson, D.B. (1986). ARCH Models. En: Handbook of Econometrics, Vol. IV.
Cobos, Sergio et al. (2010). Búsqueda y exploración estocástica. Universidad Autónoma Metropolitana, México.
Dréo, J. et al. (2005). Metaheuristics for Hard Optimization. Springer Verlag, 1ª edición.
García Centeno, María del Carmen et al. (2004). Estimación de modelos de volatilidad estocástica en series rendimientos bursátiles. Universidad Complutense, Madrid.
Hass, Marcus (2001). New Methods in Backtesting. Financial Engineering.
Jorion, Phillippe (2001). Value at Risk: The New Benchmark for Managing Financial Risk. 2ª edición.
Madsen, K. et al. (2004). Methods for Non Linear Least Squares Problems. Informatics and Mathematical Modelling, Technical University of Denmark, 2ª edición.
User Guide: Econometrics Toolbox. MATLAB R2010a.
Análisis de los factores explicativos y tendencias del mercado MONEX. Ecoanálisis, marzo 2010.
Sánchez Cerón, Carlos (2001). Valor en riesgo y otras aplicaciones. SEI Investment, 1ª edición.
Trejos, Alberto (2010). Pronóstico económico CEFSA: porque sube y baja el tipo de cambio.

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 Unported License.
Copyright (c) 2011 Jeffrey Viales Abellán
