Abstract
We have already discussed that volatility plays an important role in modeling financial systems and time series. Unlike the term structure, volatility is unobservable and thus must be estimated from market data.
Reliable estimations and forecasts of volatility are important for large credit institutes where volatility is directly used to measure risk. The risk premium, for example, is often specified as a function of volatility. It is interesting to find an appropriate model for volatility. The capability of macroeconomic factors to forecast volatility has already been examined in the literature. Although macroeconomic factors have some forecasting capabilities, the most important factor seems to be the lagged endogenous return. As a result recent studies are mainly concentrated on time series models.
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Breiman, L. (1973). Statistics: With a view towards application. Boston: Houghton Mifflin Company.
Cizek, P., Härdle, W., & Weron, R. (2011). Statistical tools in finance and insurance (2nd ed.). Berlin/Heidelberg: Springer.
Feller, W. (1966). An introduction to probability theory and its application (Vol. 2). New York: Wiley.
Franke, J., Härdle, W., & Hafner, C. (2011). Statistics of financial markets (3rd ed.). Berlin/ Heidelberg: Springer.
Härdle, W., & Simar, L. (2012). Applied multivariate statistical analysis (3rd ed.). Berlin: Springer.
Härdle, W., Müller, M., Sperlich, S., & Werwatz, A. (2004). Nonparametric and semiparametric models. Berlin: Springer.
Harville, D. A. (2001). Matrix algebra: Exercises and solutions. New York: Springer.
Klein, L. R. (1974). A textbook of econometrics (2nd ed., 488 p.). Englewood Cliffs: Prentice Hall.
MacKinnon, J. G. (1991). Critical values for cointegration tests. In R. F. Engle & C. W. J. Granger (Eds.), Long-run economic relationships readings in cointegration (pp. 266–277). New York: Oxford University Press.
Mardia, K. V., Kent, J. T., & Bibby, J. M. (1979). Multivariate analysis. Duluth/London: Academic.
RiskMetrics. (1996). J.P. Morgan/Reuters (4th ed.). RiskMetricsTM.
Serfling, R. J. (2002). Approximation theorems of mathematical statistics. New York: Wiley.
Tsay, R. S. (2002). Analysis of financial time series. New York: Wiley.
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Borak, S., Härdle, W.K., López-Cabrera, B. (2013). Time Series with Stochastic Volatility. In: Statistics of Financial Markets. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33929-5_13
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DOI: https://doi.org/10.1007/978-3-642-33929-5_13
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