Results 1 to 10 of about 994 (73)
A Lower Bound for the Volatility Swap in the Lognormal SABR Model
Axioms, 2023 In the short time to maturity limit, it is proved that for the conditionally lognormal SABR model the zero vanna implied volatility is a lower bound for the volatility swap strike.
Elisa Alòs +2 more
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Asymptotic Implied Volatility at the Second Order with Application to the SABR Model [PDF]
SSRN Electronic Journal, 2009 We provide a general method to compute a Taylor expansion in time of implied volatility for stochastic volatility models, using a heat kernel expansion. Beyond the order 0 implied volatility which is already known, we compute the first order correction exactly at all strikes from the scalar coefficient of the heat kernel expansion.
BS DeWitt +6 more
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Probability Density of Lognormal Fractional SABR Model
Risks, 2022 Instantaneous volatility of logarithmic return in the lognormal fractional SABR model is driven by the exponentiation of a correlated fractional Brownian motion.
Jiro Akahori, Xiaoming Song, Tai-Ho Wang
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Deep Reinforcement Learning for Dynamic Stock Option Hedging: A Review
Mathematics, 2023 This paper reviews 17 studies addressing dynamic option hedging in frictional markets through Deep Reinforcement Learning (DRL). Specifically, this work analyzes the DRL models, state and action spaces, reward formulations, data generation processes and ...
Reilly Pickard, Yuri Lawryshyn
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A VOLATILITY-OF-VOLATILITY EXPANSION OF THE OPTION PRICES IN THE SABR STOCHASTIC VOLATILITY MODEL [PDF]
International Journal of Theoretical and Applied Finance, 2014 We propose a new type of asymptotic expansion for the transition probability density function (or heat kernel) of certain parabolic partial differential equations (PDEs) that appear in option pricing. As other, related methods developed by Costanzino, Hagan, Gatheral, Lesniewski, Pascucci, and their collaborators, among others, our method is based on ...
Nistor, Victor +2 more
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ASYMPTOTICS OF THE TIME-DISCRETIZED LOG-NORMAL SABR MODEL: THE IMPLIED VOLATILITY SURFACE [PDF]
Probability in the Engineering and Informational Sciences, 2020 AbstractWe propose a novel time discretization for the log-normal SABR model which is a popular stochastic volatility model that is widely used in financial practice. Our time discretization is a variant of the Euler–Maruyama scheme. We study its asymptotic properties in the limit of a large number of time steps under a certain asymptotic regime which ...
Dan Pirjol, Lingjiong Zhu
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A Generative Adversarial Network Approach to Calibration of Local Stochastic Volatility Models
Risks, 2020 We propose a fully data-driven approach to calibrate local stochastic volatility (LSV) models, circumventing in particular the ad hoc interpolation of the volatility surface.
Christa Cuchiero +2 more
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A LOW-BIAS SIMULATION SCHEME FOR THE SABR STOCHASTIC VOLATILITY MODEL [PDF]
International Journal of Theoretical and Applied Finance, 2012 The Stochastic Alpha Beta Rho Stochastic Volatility (SABR-SV) model is widely used in the financial industry for the pricing of fixed income instruments. In this paper we develop a low-bias simulation scheme for the SABR-SV model, which deals efficiently with (undesired) possible negative values in the asset price process, the martingale property of ...
BIN CHEN +2 more
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Target volatility option pricing in the lognormal fractional SABR model [PDF]
Quantitative Finance, 2019 We examine in this article the pricing of target volatility options in the lognormal fractional SABR model.
Elisa Alòs +3 more
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Pricing Continuously Monitored Barrier Options under the SABR Model: A Closed-Form Approximation
Journal of Management Science and Engineering, 2017 The stochastic alpha beta rho (SABR) model introduced by Hagan et al. (2002) is widely used in both fixed income and the foreign exchange (FX) markets. Continuously monitored barrier option contracts are among the most popular derivative contracts in the
Nian Yang, Yanchu Liu, Zhenyu Cui
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