Εκτίμηση κινδύνου σε χρηματιστηριακούς δείκτες ευρωπαϊκών χρηματιστηρίων με τη χρήση αυτοπαλίδρομων υπό συνθήκη ετεροσκεδαστικότητας υποδειγμάτων
Measuring value at risk using generalized autoregressive conditional heteroscedastic models for european indices

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Keywords
Χρηματιστήρια ; Δείκτες ; Κίνδυνος ; Financial econometrics ; ARIMA models ; GARCH ; VARAbstract
The objective of this thesis is to present the concept of Risk Measurement as it is achieved
by using the Value-at-Risk (VaR) method. According to this technique, the user can estimate
the risk by a single number which represents the worst expected loss of an asset for a given
horizon at a fixed confidence level. The estimate of VaR is obtained by using a sophisticated
econometric approach based on Time Series Analysis, which combines and matches
AutoRegressive Integrated Moving Average (ARIMA) models based on Box-Jenkins
methodology with Generalized AutoRegressive Conditional Heteroscedastic (GARCH)
models.
The application of these models will provide VaR as one-step-ahead forecast of the
process. Thus, an efficient econometric approach based on ARIMA-GARCH models is
applied to log returns of major European stock market indices with the aim to estimate
volatility, as it is captured on them. Finally, the estimates of VaR will be measured for indices
in total and Backtesting technique for verifying the accuracy of VaR models will be
performed.