Results 71 to 80 of about 1,031 (118)

Implied Volatilities for Mean Reverting SABR Models

open access: closedWilmott, 2020
Patrick S. Hagan   +2 more
openalex   +3 more sources

Analytical Solutions of the SABR Stochastic Volatility Model

open access: closed, 2012
This thesis studies a mathematical problem that arises in modeling the prices of option contracts in an important part of global financial markets, the fixed income option market. Option contracts, among other derivatives, serve an important function of transferring and managing financial risks in today's interconnected financial world.
Qi Wu
openalex   +4 more sources

Efficient Calibration and Pricing in LIBOR Market Models with SABR Stochastic Volatility Using GPUs

open access: closed, 2016
In order to overcome the drawbacks of assuming deterministic volatility coefficients in the standard LIBOR market models, several extensions of LIBOR models to incorporate stochastic volatilities have been proposed. The efficient calibration to market data of these more complex models becomes a relevant target in practice.
A. Ferreiro   +3 more
openalex   +5 more sources

Calibrating and completing the volatility cube in the SABR Model [PDF]

open access: closed, 2011
This report describes the calibration and completion of the volatility cube in the SABR model. The description is based on a project done for Assenagon GmbH in Munich. However, we use fictitious market data which resembles realistic market data. The problem posed by our client is formulated in section 1.
Georgi Dimitroff, Johan de Kock
openalex   +3 more sources

Efficient simulation of generalized SABR and stochastic local volatility models based on Markov chain approximations

open access: closedEuropean Journal of Operational Research, 2020
We propose a novel Monte Carlo simulation method for two-dimensional stochastic differential equation (SDE) systems based on approximation through continuous-time Markov chains (CTMCs). Specifically, we propose an efficient simulation framework for asset prices under general stochastic local volatility (SLV) models arising in finance, which includes ...
Zhenyu Cui, Justin Kirkby, Duy Nguyen
  +6 more sources

Volatility and variance swaps and options in the fractional SABR model

open access: closedThe European Journal of Finance, 2020
Appropriate capturing the nature of financial market volatility is a significant factor for the pricing of volatility derivatives. A recent study by Gatheral, Jaisson and Rosenbaum [2018.
See-Woo Kim, Jeong‐Hoon Kim
openalex   +3 more sources

The Asymptotic Expansion Formula of Implied Volatility for Dynamic SABR Model and FX Hybrid Model [PDF]

open access: closedSSRN Electronic Journal, 2007
The author considers SABR model which is a two factor stochastic volatility model and gives an asymptotic expansion formula of implied volatilities for this model. His approach is based on infinite dimensional analysis on the Malliavin calculus and large deviation.
Yasufumi Osajima
openalex   +2 more sources

Machine Learning SABR Model of Stochastic Volatility With Lookup Table

open access: closedSSRN Electronic Journal, 2020
We present an embarrassingly simple method for supervised learning of SABR model’s European option price function based on lookup table or rote machine learning. Performance in time domain is comparable to generally used analytic approximations utilized in financial industry.
Mahir Lokvancic
openalex   +3 more sources

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