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Asia-Pacific Financial Markets

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Open Access 11.04.2018

Some Further Results on the Tempered Multistable Approach

verfasst von: Olivier Le Courtois

Erschienen in: Asia-Pacific Financial Markets | Ausgabe 2/2018

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Abstract

This article provides new results on the tempered multistable approach. After a preliminary section recalling the main definitions, we show the correspondence between a series representation and a characteristic function representation for asymmetrical field-based tempered multistable processes and for asymmetrical independent increments tempered multistable processes. We also show that both processes are semimartingales, which is a convenient property in finance. Next, we study the structure of autocorrelations that is conveyed by this approach. Finally, we provide an illustration showing the term structures of Value-at-Risk that can be obtained with this model.

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Carr, P., Geman, H., Madan, D. B., & Yor, M. (2002). The fine structure of asset returns: An empirical investigation. Journal of Business, 75(2), 305–332.CrossRef

Falconer, K., Le Guével, R., & Lévy-Véhel, J. (2009). Localisable moving average stable multistable processes. Stochastic Models, 25, 648–672.CrossRef

Falconer, K., & Lévy-Véhel, J. (2009). Multifractional, multistable, and other processes with prescribed local form. Journal of Theoretical Probability, 22, 375–401.CrossRef

Falconer, K., & Liu, L. (2012). Multistable processes and localisability. Stochastic Models, 28, 503–526.CrossRef

Fan, X., & Lévy-Véhel, J. (2013). Self-stabilizing tempered processes in financial modelling. Working Paper.

Imai, J., & Kawai, R. (2011). On finite truncation of infinite shot noise series representation of tempered stable laws. Physica A: Statistical Mechanics and Its Applications, 390(23–24), 4411–4425.CrossRef

Jacod, J., & Shiryaev, A. S. (2003). Limit theorems for stochastic processes (2nd ed.). Berlin: Springer.CrossRef

Kingman, J. F. C. (1993). Poisson processes. Oxford: Oxford University Press.

Koponen, I. (1995). Analytic approach to the problem of convergence of truncated Lévy flights towards the Gaussian stochastic process. Physical Review E, 52(1), 1197–1199.CrossRef

Küchler, U., & Tappe, S. (2013). Tempered stable distributions and processes. Stochastic Processes and Their Applications, 123(12), 4256–4293.CrossRef

Küchler, U., & Tappe, S. (2014). Exponential stock models driven by tempered stable processes. Journal of Econometrics, 181(1), 53–63.CrossRef

Le Courtois, O., & Walter, C. (2014). The computation of risk budgets under the Lévy process assumption. Finance, 35(4), 87–108.

Le Guével, R., & Lévy-Véhel, J. (2012). A Ferguson–Klass–LePage series representation of multistable multifractional processes and related processes. Bernoulli, 18(4), 1099–1127.CrossRef

Le Guével, R., Lévy-Véhel, J., & Liu, L. (2015). On two multistable extensions of stable Lévy motion and their semimartingale representation. Journal of Theoretical Probability, 28(3), 1125–1144.CrossRef

Lévy-Véhel, J. (2013). Financial modelling with tempered multistable motions. In International workshop on statistical modeling, financial data analysis and applications, Venice.

Lévy-Véhel, J., & El Mekkedem, H. (2013). Value at risk with tempered multistable motions. In 30th international french finance association conference, Lyon.

Lévy-Véhel, K., & Liu, L. (2013). On symmetrical tempered multistable processes (Preprint)

Lévy-Véhel, P. -E., & Lévy-Véhel, J. (2013). Tempered multistable processes with Heston-type evolution of the local intensity of jumps. Working Paper.

Madan, D. B., & Milne, F. (1991). Option pricing with VG martingale components. Mathematical Finance, 1(4), 39–55.CrossRef

Mandelbrot, B. (1963). The variation of certain speculative prices. Journal of Business, 36, 394–419.CrossRef

Mandelbrot, B., & Taylor, H. (1967). On the distribution of stock price differences. Operations Research, 15, 1057–1062.CrossRef

Rachev, S. T., Kim, Y. S., Bianchi, M. L., & Fabozzi, F. J. (2011). Financial models with Lévy processes and volatility clustering. Hoboken: Wiley.CrossRef

Rosiński, J. (2007). Tempering stable processes. Stochastic Processes and Their Applications, 117, 677–707.CrossRef

Samorodnitsky, G., & Taqqu, M. S. (1994). Stable non-gaussian random processes, stochastic models with infinite variance. London: Chapmann and Hall.

von Bahr, B., & Esseen, C.-G. (1965). Inequalities for the rth absolute moment of a sum of random variables, \(1 \le r \le 2\). Annals of Mathematical Statistics, 36(1), 299–303.CrossRef

Titel: Some Further Results on the Tempered Multistable Approach
verfasst von: Olivier Le Courtois
Publikationsdatum: 11.04.2018
Verlag: Springer Japan
Erschienen in: Asia-Pacific Financial Markets / Ausgabe 2/2018
Print ISSN: 1387-2834
Elektronische ISSN: 1573-6946
DOI: https://doi.org/10.1007/s10690-018-9240-y