Large deviations for fractional volatility models with non-Gaussian volatility driver

نویسندگان

چکیده

We study non-Gaussian fractional stochastic volatility models. The in such a model is described by positive function of process that transform the solution to an SDE satisfying Yamada–Watanabe condition. Such models are generalizations version Heston considered Bäuerle and Desmettre (2020). establish sample path small-noise large deviation principles for log-price model. also illustrate how compute second order Taylor expansion rate function, simplified example.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Large Deviations and Stochastic Volatility with Jumps: Asymptotic Implied Volatility for Affine Models

Let σt(x) denote the implied volatility at maturity t for a strike K = S0e , where x ∈ R and S0 is the current value of the underlying. We show that σt(x) has a uniform (in x) limit as maturity t tends to infinity, given by the formula σ∞(x) = √ 2 ( h(x) + (h(x)− x) ) , for x in some compact neighbourhood of zero in the class of affine stochastic volatility models. The function h∗ is the convex...

متن کامل

Convergence in Multiscale Financial Models with Non-gaussian Stochastic Volatility

We consider stochastic control systems affected by a fast mean reverting volatility Y (t) driven by a pure jump Lévy process. Motivated by a large literature on financial models, we assume that Y (t) evolves at a faster time scale t/ than the assets, and we study the asymptotics as → 0. This is a singular perturbation problem that we study mostly by PDE methods within the theory of viscosity so...

متن کامل

Inference With Non-Gaussian Ornstein-Uhlenbeck Processes for Stochastic Volatility∗

Continuous-time stochastic volatility models are becoming an increasingly popular way to describe moderate and high-frequency financial data. Recently, Barndorff-Nielsen and Shephard (2001a) proposed a class of models where the volatility behaves according to an Ornstein-Uhlenbeck process, driven by a positive Lévy process without Gaussian component. These models introduce discontinuities, or j...

متن کامل

Gaussian Processes and Non-parametric Volatility Forecasting

We provide a formulation of stochastic volatility based on Gaussian processes, a flexible framework for Bayesian nonlinear regression. The advantage of using Gaussian processes in this context is to place volatility forecastingwithin a regression framework; this allows a large number of explanatory variables to be used for forecasting, a task difficult with standard volatility-forecasting formu...

متن کامل

Option pricing with fractional volatility

Based on empirical market data, a stochastic volatility model is proposed with volatility driven by fractional noise. The model is used to obtain a risk-neutrality option pricing formula and an option pricing equation.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Stochastic Processes and their Applications

سال: 2021

ISSN: ['1879-209X', '0304-4149']

DOI: https://doi.org/10.1016/j.spa.2021.09.010