Results 1 to 10 of about 5,036 (166)
CEV Model with Stochastic Volatility
This paper develops a systematic method for calculating approximate prices for a wide range of securities implying the tools of spectral analysis, singular and regular perturbation theory.
IVAN BURTNYAK, Anna Malytska
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Pricing of Pseudo-Swaps Based on Pseudo-Statistics
The main problem in pricing variance, volatility, and correlation swaps is how to determine the evolution of the stochastic processes for the underlying assets and their volatilities.
Sebastian Franco, Anatoliy Swishchuk
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The Alpha‐Heston stochastic volatility model [PDF]
AbstractWe introduce an affine extension of the Heston model, called the ‐Heston model, where the instantaneous variance process contains a jump part driven by ‐stable processes with . In this framework, we examine the implied volatility and its asymptotic behavior for both asset and VIX options.
Ying Jiao +3 more
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It has been found that the surface of implied volatility has appeared in financial market embrace volatility “Smile” and volatility “Smirk” through the long-term observation.
Yanli Zhou +3 more
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MULTIFRACTIONAL STOCHASTIC VOLATILITY MODELS [PDF]
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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The Jacobi stochastic volatility model [PDF]
We introduce a novel stochastic volatility model where the squared volatility of the asset return follows a Jacobi process. It contains the Heston model as a limit case. We show that the joint density of any finite sequence of log returns admits a Gram-Charlier A expansion with closed-form coefficients.
Filipovic, Damir +2 more
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ESTIMASI VOLATILITAS STOKASTIK CRYPTOCURRENCY BITCOIN MENGGUNAKAN MODEL HESTON-MILSTEIN
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
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Modeling Price Dynamics and Risk Forecasting in Tehran Stock Exchange Market: Nonlinear and Non-gaussian Models of Stochastic Volatility [PDF]
Objective: The daily observations of the total index of the Tehran Stock Exchange show that in the last few years, stock prices have been very volatile. This volatility can harm the economic environment of Iran.
Moslem Nilchi, Daryush Farid
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Deep Stochastic Volatility Model
Volatility for financial assets returns can be used to gauge the risk for financial market. We propose a deep stochastic volatility model (DSVM) based on the framework of deep latent variable models. It uses flexible deep learning models to automatically detect the dependence of the future volatility on past returns, past volatilities and the ...
Xiuqin Xu, Ying Chen
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Quadrinomial trees with stochastic volatility to value real options [PDF]
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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