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Expecting the Unexpected: Entropy and Multifractal Systems in Finance

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F23%3A10254762" target="_blank" >RIV/61989100:27240/23:10254762 - isvavai.cz</a>

  • Alternative codes found

    RIV/61989100:27740/23:10254762

  • Result on the web

    <a href="https://www.mdpi.com/1099-4300/25/11/1527" target="_blank" >https://www.mdpi.com/1099-4300/25/11/1527</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3390/e25111527" target="_blank" >10.3390/e25111527</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Expecting the Unexpected: Entropy and Multifractal Systems in Finance

  • Original language description

    Entropy serves as a measure of chaos in systems by representing the average rate of information loss about a phase point&apos;s position on the attractor. When dealing with a multifractal system, a single exponent cannot fully describe its dynamics, necessitating a continuous spectrum of exponents, known as the singularity spectrum. From an investor&apos;s point of view, a rise in entropy is a signal of abnormal and possibly negative returns. This means he has to expect the unexpected and prepare for it. To explore this, we analyse the New York Stock Exchange (NYSE) U.S. Index as well as its constituents. Through this examination, we assess their multifractal characteristics and identify market conditions (bearish/bullish markets) using entropy, an effective method for recognizing fluctuating fractal markets. Our findings challenge conventional beliefs by demonstrating that price declines lead to increased entropy, contrary to some studies in the literature that suggest that reduced entropy in market crises implies more determinism. Instead, we propose that bear markets are likely to exhibit higher entropy, indicating a greater chance of unexpected extreme events. Moreover, our study reveals a power-law behaviour and indicates the absence of variance.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10300 - Physical sciences

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2023

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Entropy

  • ISSN

    1099-4300

  • e-ISSN

    1099-4300

  • Volume of the periodical

    25

  • Issue of the periodical within the volume

    11

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    18

  • Pages from-to

  • UT code for WoS article

    001107906400001

  • EID of the result in the Scopus database

    2-s2.0-85178127586