Results 1 to 10 of about 5,036 (166)

CEV Model with Stochastic Volatility

open access: yesJournal of Vasyl Stefanyk Precarpathian National University, 2019
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
doaj   +4 more sources

Pricing of Pseudo-Swaps Based on Pseudo-Statistics

open access: yesRisks, 2023
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
doaj   +1 more source

The Alpha‐Heston stochastic volatility model [PDF]

open access: yesMathematical Finance, 2021
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
openaire   +2 more sources

The Correction of Multiscale Stochastic Volatility to American Put Option: An Asymptotic Approximation and Finite Difference Approach

open access: yesJournal of Function Spaces, 2021
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
doaj   +1 more source

MULTIFRACTIONAL STOCHASTIC VOLATILITY MODELS [PDF]

open access: yesMathematical 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
openaire   +3 more sources

The Jacobi stochastic volatility model [PDF]

open access: yesFinance and Stochastics, 2016
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
openaire   +3 more sources

ESTIMASI VOLATILITAS STOKASTIK CRYPTOCURRENCY BITCOIN MENGGUNAKAN MODEL HESTON-MILSTEIN

open access: yesE-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

Modeling Price Dynamics and Risk Forecasting in Tehran Stock Exchange Market: Nonlinear and Non-gaussian Models of Stochastic Volatility [PDF]

open access: yesتحقیقات مالی, 2023
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
doaj   +1 more source

Deep Stochastic Volatility Model

open access: yesCoRR, 2021
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
openaire   +2 more sources

Quadrinomial trees with stochastic volatility to value real options [PDF]

open access: yesJournal 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
doaj   +1 more source

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