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Asset Movement Forcasting with the Implied Volatility Surface Analysis Based on SABR Model

2022 IEEE 20th International Conference on Industrial Informatics (INDIN), 2022
In financial field, predicting the future price of an asset has always been a hot topic. There are mainly two existing methods: One is to model the trend of asset prices in price prediction.
Shaowei Xu   +4 more
openaire   +2 more sources

Candidate point selection using a self-attention mechanism for generating a smooth volatility surface under the SABR model

Expert Systems with Applications, 2021
Abstract In real markets, generating a smooth implied volatility surface requires an interpolation of the calibrated parameters by using smooth parametric functions. For this interpolation, practitioners do not use all the discrete parameter points but manually select candidate parameter points through time-consuming adjustments (e.g., removing ...
Junkee Jeon   +6 more
openaire   +2 more sources

Probability Distribution in the SABR Model of Stochastic Volatility [PDF]

open access: possible, 2015
We study the SABR model of stochastic volatility (Wilmott Mag, 2003 [10]). This model is essentially an extension of the local volatility model (Risk 7(1):18–20 [4], Risk 7(2):32–39, 1994 [6]), in which a suitable volatility parameter is assumed to be stochastic.
Patrick S. Hagan   +2 more
openaire   +2 more sources

Mass at Zero and Small-Strike Implied Volatility Expansion in the SABR Model

SSRN Electronic Journal, 2015
We study the probability mass at the origin in the SABR stochastic volatility model, and derive several tractable expressions for it, in particular when time becomes small or large. In the uncorrelated case, tedious saddlepoint expansions allow for (semi) closed-form asymptotic formulae.
Archil Gulisashvili   +3 more
openaire   +3 more sources

Second Order Expansion for Implied Volatility in Two Factor Local Stochastic Volatility Models and Applications to the Dynamic $$\lambda $$-Sabr Model

2015
Using an expansion of the transition density function of a two dimensional time inhomogeneous diffusion, we obtain the first and second order terms in the short time asymptotics of the local volatility function in a family of time inhomogeneous local-stochastic volatility models.
Peter Laurence, Gérard Ben Arous
openaire   +3 more sources

Stochastic Volatility � a story of two decades of SABR and Wilmott Magazine

Wilmott Magazine, 2022
In Managing Smile Risk , the SABR model with the iconic approximation formula for implied log-normal volatility given strike K and maturity t was introduced.
Jörg Kienitz
semanticscholar   +1 more source

Semi-Analytical Pricing of Barrier Options in the Time-Dependent λ-SABR Model: Uncorrelated Case

Jurnal derivate, 2021
We consider semi-analytical pricing of barrier options for the time-dependent SABR stochastic volatility model (with drift in the instantaneous volatility) with zero correlation between spot and stochastic volatility.
A. Itkin, D. Muravey
semanticscholar   +1 more source

A Sequential Monte Carlo Approach for the pricing of barrier option in a Stochastic Volatility Model

, 2020
In this paper we propose a numerical scheme to estimate  the price of a barrier option in a general framework.  More precisely, we extend a classical Sequential  Monte Carlo approach, developed under the hypothesis  of deterministic volatility, to ...
S. Cuomo   +3 more
semanticscholar   +1 more source

SABR: A Stochastic Volatility Model in Practice

2019
The Black and Scholes model (BS) assumes that the volatility of an asset is constant over the trading period. As a result, BS returns a flat volatility surface. This assumption fails to capture the asset’s volatility dynamics (smile), which is particularly important if we want to price complex derivatives.
Bogatyreva, Natalia   +3 more
openaire   +3 more sources

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