FORECASTING FINANCIAL PROCESSES BY USING DIFFUSION MODELS
DOI:
https://doi.org/10.12775/AUNC_ECON.2009.047Keywords
diffusion models, ex post forecasts, Monte-Carlo simulation, the GARCH model, the ARIMA model, unit-rootAbstract
Time series forecasting is one of the most important issue in the financial econometrics. In the face of grown interest of models with continuous time and quick development of methods of their estimation, we try to use to modeling and forecasting time series from two different financial markets by using diffusion models. We use Monte-Carlo-based method which was introduced by Cziraky i Kucherenko (2008). Quality of received forecasts is confronted with common applied parametrical time series models.
References
Black, F., Scholes, M. (1973), The Pricing of Option and Corporate Liabilities, „Journal of Political Economy”, 81, 637–659.
Chan K. C., Karolyi G. A., Longstaff F. A., Sanders A. B. (1992), An Empirical Comparison of Alternative Models of Short Term Interest Rates, „Journal of Finance”, 47, 1209–1227.
Cox J. C., Ingersoll J., Ross S. (1985), A Theory of the Term Structure of Interest Rates, „Econometrica”, 53, 385–407.
Cziraky D., Kucherenko S. (2008), Monte Carlo Forecasting from CIR Square Root Diffusion Models, BRODA Ltd. http://www.broda.co.uk.
Detemple J., Osakwe S. (1999), The Valuation of Volatility Options, „CIRANO Paper, Scientific Series”.
Doman M., Doman R. (2004), Ekonometryczne modelowanie dynamiki polskiego rynku finansowego, AE w Poznaniu, Poznań.
Engle R. F. (1982), Autoregressive Conditional Heteroscedacticity with Estimates of the Variance of United Kingsdom Inflation, „Econometrica”, 50, 987–1007.
Hansen L. P. (1982), Large Sample Properties of Generalized Method Of Moments Estimators, „Econometrica”, 50, 1029–1054.
Heston S. L. (1993), A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options, „The Review of Financial Studies”, 6 (2) 327–343.
Jagannathan R., Kaplin A., Sun S. G. (2004), An Evaluation of Multi-Factor CIR Models Using Libor, Swap Rates, and Cap and Swaption Prices, „Journal of Econometrics”, 116, 113–146.
Ljung G. M., Box G. E. P. (1978), On a measure of lack of fit in time series models, „Biometrika”, 65, 297-303.
Mannolini A., Mari C., Renò R. (2008), Pricing caps and floors with the extended CIR model, „International Journal of Finance & Economics”, 13 (4) 386–400.
McLeod A. I., Li W. K. (1983), Diagnostic checking ARMA time series models using squared residual autocorrelations, „Journal of Time Series Analysis”, 4, 269–273.
Merton R. C. (1973), Theory of rational option pricing, „Bell Journal of Economics and Management Science”, 4 (1) 141–183.
Merton R. C. (1974), On The Pricing of Corporate Debt: The Risk Structure of Interest Rates, „Journal of Finance”, 29, 449–470.
Newey W.K., West K.D. (1987), A Simple, Positive Semidefinite, Heteroskedasticity and Autocorrelation Consistant Covariance Matrix, „Economerica”, 59, 347–370.
Phillips P. C. B., Perron P. (1988), Testing for a Unit Root in Time Series Regressions, „Biometrika”, 75, 335–346.
Phillips P.C.B., Yu J. (2009), A Two-Stage Realized Volatility Approach to Estimation of Diffusion Processes with Discrete Data, „Journal of Econometrics”, w druku.
Said E., Dickey D.A. (1984), Testing for Unit Roots in Autoregressive Moving Average Models of Unknown Order, „Biometrika”, 71, 599–607.
Vašiček O. (1977), An Equilibrium Characterization of the Term Structure, „Journal of Financial Economics”, 5, 177–188.
Yoshida N. (1992), Estimation for Diffusion Processes From Discrete Observation, „Journal of Multivariate Analysis” 41, 220–242.
Welfe A. (1998), Ekonometria, Polskie Wydawnictwo Ekonomiczne, Warszawa.
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