Artikel

Generalized mean-reverting 4/2 Factor Model

This paper proposes and investigates a multivariate 4/2 Factor Model. The name 4/2 comes from the superposition of a CIR term and a 3/2-model component. Our model goes multidimensional along the lines of a principal component and factor covariance decomposition. We find conditions for well-defined changes of measure and we also find two key characteristic functions in closed-form, which help with pricing and risk measure calculations. In a numerical example, we demonstrate the significant impact of the newly added 3/2 component (parameter b) and the common factor (a), both with respect to changes on the implied volatility surface (up to 100%) and on two risk measures: value at risk and expected shortfall where an increase of up to 29% was detected.

Language
Englisch

Bibliographic citation
Journal: Journal of Risk and Financial Management ; ISSN: 1911-8074 ; Volume: 12 ; Year: 2019 ; Issue: 4 ; Pages: 121- ; Basel: MDPI

Classification
Wirtschaft
Subject
risk measures
option pricing
4/2 model
stochastic covariance

Event
Geistige Schöpfung
(who)
Cheng, Yuyang
Escobar, Marcos
Gong, Zhenxian
Event
Veröffentlichung
(who)
MDPI
(where)
Basel
(when)
2019

DOI
doi:10.3390/jrfm12040159
Handle
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Cheng, Yuyang
  • Escobar, Marcos
  • Gong, Zhenxian
  • MDPI

Time of origin

  • 2019

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