Please use this identifier to cite or link to this item: https://doi.org/10.21256/zhaw-4211
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dc.contributor.authorBreymann, Wolfgang-
dc.contributor.authorLüthi, David-
dc.contributor.authorPlaten, Eckhard-
dc.date.accessioned2018-04-04T06:43:05Z-
dc.date.available2018-04-04T06:43:05Z-
dc.date.issued2009-
dc.identifier.issn1434-6028de_CH
dc.identifier.issn1434-6036de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/4664-
dc.descriptionErworben im Rahmen der Schweizer Nationallizenzen (http://www.nationallizenzen.ch)de_CH
dc.description.abstractMost of the papers that study the distributional and fractal properties of financial instruments focus on stock prices or foreign exchange rates. This typically leads to mixed results concerning the distributions of log-returns and some multi-fractal properties of exchange rates, stock prices, and regional indices. This paper uses a well diversified world stock index as the central object of analysis. Such index approximates the growth optimal portfolio, which is demonstrated under the benchmark approach, it is the ideal reference unit for studying basic securities. When denominating this world index in units of a given currency, one measures the movements of the currency against the entire market. This provides a least disturbed observation of the currency dynamics. In this manner, one can expect to disentangle, e.g., the superposition of the two currencies involved in an exchange rate. This benchmark approach to the empirical analysis of financial data allows us to establish remarkable stylized facts. Most important is the observation that the repeatedly documented multi-fractal appearance of financial time series is very weak and much less pronounced than the deviation of the mono-scaling properties from Brownian-motion type scaling. The generalized Hurst exponent H(2) assumes typical values between 0.55 and 0.6. Accordingly, autocorrelations of log-returns decay according to a power law, and the quadratic variation vanishes when going to vanishing observation time step size. Furthermore, one can identify the Student t distribution as the log-return distribution of a well-diversified world stock index for long time horizons when a long enough data series is used for estimation. The study of dependence properties, finally, reveals that jumps at daily horizon originate primarily in the stock market while at 5min horizon they originate in the foreign exchange market. The principal message of the empirical analysis is that there is evidence that a diffusion model without multi-scaling could reasonably well model the dynamics of a broadly diversified world stock index.de_CH
dc.language.isoende_CH
dc.publisherSpringerde_CH
dc.relation.ispartofThe European Physical Journal Bde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subjectFinancial marketsde_CH
dc.subjectEconomicsde_CH
dc.subjectSystems obeying scaling lawsde_CH
dc.subjectBusiness and managementde_CH
dc.subject.ddc332: Finanzwirtschaftde_CH
dc.titleEmpirical behavior of a world stock index from intra-day to monthly time scalesde_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
zhaw.organisationalunitInstitut für Datenanalyse und Prozessdesign (IDP)de_CH
dc.identifier.doi10.21256/zhaw-4211-
dc.identifier.doi10.1140/epjb/e2009-00341-xde_CH
zhaw.funding.euNode_CH
zhaw.originated.zhawYesde_CH
zhaw.pages.end522de_CH
zhaw.pages.start511de_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.volume71de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
Appears in collections:Publikationen School of Engineering

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Breymann, W., Lüthi, D., & Platen, E. (2009). Empirical behavior of a world stock index from intra-day to monthly time scales. The European Physical Journal B, 71, 511–522. https://doi.org/10.21256/zhaw-4211
Breymann, W., Lüthi, D. and Platen, E. (2009) ‘Empirical behavior of a world stock index from intra-day to monthly time scales’, The European Physical Journal B, 71, pp. 511–522. Available at: https://doi.org/10.21256/zhaw-4211.
W. Breymann, D. Lüthi, and E. Platen, “Empirical behavior of a world stock index from intra-day to monthly time scales,” The European Physical Journal B, vol. 71, pp. 511–522, 2009, doi: 10.21256/zhaw-4211.
BREYMANN, Wolfgang, David LÜTHI und Eckhard PLATEN, 2009. Empirical behavior of a world stock index from intra-day to monthly time scales. The European Physical Journal B. 2009. Bd. 71, S. 511–522. DOI 10.21256/zhaw-4211
Breymann, Wolfgang, David Lüthi, and Eckhard Platen. 2009. “Empirical Behavior of a World Stock Index from Intra-Day to Monthly Time Scales.” The European Physical Journal B 71: 511–22. https://doi.org/10.21256/zhaw-4211.
Breymann, Wolfgang, et al. “Empirical Behavior of a World Stock Index from Intra-Day to Monthly Time Scales.” The European Physical Journal B, vol. 71, 2009, pp. 511–22, https://doi.org/10.21256/zhaw-4211.


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