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On Estimation Of Volatility Of Financial Time Series For Pricing Derivatives

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Author Info
Michal Černý
Abstract

Estimation of volatility of financial time series plays a crucial role in pricing derivatives. Volatility is often estimated from historical data; however, it is well known that volatility varies in time. We propose a method to choose a suitable length of historical data to estimate contemporary volatility. The method is based on adaptation of a procedure used in statistical quality control - a hypothesis, that data contains a changepoint of volatility, is tested and if the test gives a positive answer, the changepoint is estimated. Then, a period of data where no changepoint is statistically significant is used to estimate contemporary volatility. The approach is illustrated on an analysis of CZK/EUR exchange rates.

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Publisher Info
Article provided by University of Economics, Prague in its journal Acta Oeconomica Pragensia.

Volume (Year): 2008 (2008)
Issue (Month): 4 ()
Pages: 12-21
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Handle: RePEc:prg:jnlaop:v:2008:y:2008:i:4:id:126:p:12-21

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Related research
Keywords: Derivative; Black-Scholes model; time series; volatility; changepoint;

Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing

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This page was last updated on 2009-12-16.


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