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Quadrinomial trees with stochastic volatility to value real options [PDF]
Journal of Economics Finance and Administrative Science, 2021 Purpose – The purpose of this article is to propose a detailed methodology to estimate, model and incorporate the non-constant volatility onto a numerical tree scheme, to evaluate a real option, using a quadrinomial multiplicative recombination.
Freddy H. Marín-Sánchez +2 more
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Stochastic volatility and stochastic leverage [PDF]
Annals of Finance, 2009 This paper proposes the new concept of stochastic leverage in stochastic volatility models.Stochastic leverage refers to a stochastic process which replaces the classical constant correlation parameter between the asset return and the stochastic volatility process.
Veraart, Almut, Veraart, Luitgard A. M.
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Stochastic volatility duration models [PDF]
Journal of Econometrics, 2003 We propose a class of two factor dynamic models for duration data and related risk analysis in finance and insurance. Empirical findings suggest that the conditional mean and (under) overdispersion of times elapsed between stock trades feature various patterns of temporal dependence.
Éric Ghysels +2 more
openalex +4 more sources
PORTFOLIO OPTIMIZATION AND STOCHASTIC VOLATILITY ASYMPTOTICS
Mathematical Finance, 2017 Jean-pierre Fouque +1 more
exaly +2 more sources
Herding and Stochastic Volatility [PDF]
SSRN Electronic Journal, 2015 In this paper we develop a one-factor non-affine stochastic volatility option pricing model where the dynamics of the underlying is endogenously determined from micro-foundations. The interaction and herding of the agents trading the underlying asset induce an amplification of the volatility of the asset over the volatility of the fundamentals ...
Boris Waelchli +5 more
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Stochastic Volatility for Lévy Processes [PDF]
Mathematical Finance, 2002 Three processes reflecting persistence of volatility are initially formulated by evaluating three Lévy processes at a time change given by the integral of a mean‐reverting square root process. The model for the mean‐reverting time change is then generalized to include non‐Gaussian models that are solutions to Ornstein‐Uhlenbeck equations driven by one ...
Hélyette Geman +4 more
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Estimating the parameters of 3/2 stochastic volatility model with jump [PDF]
Mathematics and Modeling in Finance, 2023 The financial markets reveal stylized facts that could not be captured by Black-Scholes partial differential equations (PDEs). In this research, we investigate 3/2 stochastic volatility to pricing options which is more compatible with the interpretation
Ali Safdari-Vaighani, Pooya Garshasebi
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ESTIMASI VOLATILITAS STOKASTIK CRYPTOCURRENCY BITCOIN MENGGUNAKAN MODEL HESTON-MILSTEIN
E-Jurnal Matematika, 2022 Volatility is a quantity that measures how far a stock or cryptocurrency price moves in a certain period. To measure volatility properly, it can be done by using volatility modeling.
NI PUTU WIDYA ISWARI DEWI +2 more
doaj +1 more source
MULTIFRACTIONAL STOCHASTIC VOLATILITY MODELS [PDF]
Mathematical Finance, 2013 The aim of this work is to advocate the use of multifractional Brownian motion (mBm) as a relevant model in financial mathematics. mBm is an extension of fractional Brownian motion where the Hurst parameter is allowed to vary in time. This enables the possibility to accommodate for varying local regularity, and to decouple it from long‐range dependence
Corlay, Sylvain +2 more
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Extremal behavior of stochastic volatility models [PDF]
, 2005 Empirical volatility changes in time and exhibits tails, which are heavier than normal. Moreover, empirical volatility has - sometimes quite substantial - upwards jumps and clusters on high levels.
Fasen, V. +2 more
core +2 more sources