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Abstract

We propose filtering historical simulation by GARCH processes to model the future distribution of assets and swap values. The price changes of options are computed by full re-evaluation on the changing prices of underlying assets. Our methodology implicitly takes into account the correlations of assets without restricting their values over time or computing them explicitly. VaR values for portfolios of derivative securities are obtained without linearizing them. Historical simulation assigns equal probability to past returns, neglecting current market conditions. Our methodology is a refinement of historical simulation.

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References

  • Allen S. (1997), “Comparing and Contrasting Different Approaches to Computing Value at Risk”, Risk Conference Proceedings, New York, July.

    Google Scholar 

  • Barone Adesi G., F. Bourgoin and K. Giannopoulos (1998), Don’t Look Back, Risk, August 1998.

    Google Scholar 

  • Bollerslev T. (1986), Generalised Autoregressive Conditional Heteroskedasticity, Journal of Econometrics, 31, 307–327.

    Article  Google Scholar 

  • Davé R. and S. Gerhard (1997), “On the Accuracy of VaR Estimates Based on the Variance-Covariance Approach”, Olsen & Associates Research Institute, Zurich.

    Google Scholar 

  • Efron B. and R. Tibshirani (1993), An Introduction to the Bootstra”, Chapman & Hall: Monographs on Statistics and Applied Probability 57.

    Google Scholar 

  • Hendricks, D. (1996) “Evaluation of Value-at-Risk Models Using Historical Data”, Economic Policy Review, 2, 1, April.

    Google Scholar 

  • Hull J. C. (1997) Options, Futures and Other Derivatives, Prentice Hall, Boston.

    Google Scholar 

  • Mandelbrot B. (1963), “The Variation of Certain Speculative Prices”, Journal of Business, 36, 394–419.

    Article  Google Scholar 

  • McNeal A. and Frei R. (1998) “Estimation of Tail-Related Risk Measures for Heteroscedastic Financial Time Series: An Extreme Value Approach”, ETH, Zurich.

    Google Scholar 

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© 2014 Giovanni Barone Adesi

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Adesi, G.B., Giannopoulos, K., Vosper, L. (2014). VaR without Correlations for Portfolios of Derivative Securities. In: Adesi, G.B. (eds) Simulating Security Returns: A Filtered Historical Simulation Approach. Palgrave Pivot, New York. https://doi.org/10.1057/9781137465559_2

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