Estimating Stochastic Volatility under the Assumption of Stochastic Volatility of Volatility [PDF]
We propose novel nonparametric estimators for stochastic volatility and the volatility of volatility. In doing so, we relax the assumption of a constant volatility of volatility and therefore, we allow the volatility of volatility to vary over time.
Moawia Alghalith+2 more
doaj +5 more sources
Test data sets for calibration of stochastic and fractional stochastic volatility models [PDF]
Data for calibration and out-of-sample error testing of option pricing models are provided alongside data obtained from optimization procedures in ''On calibration of stochastic and fractional stochastic volatility models'' [1].
Jan Pospíšil, Tomáš Sobotka
doaj +2 more sources
Power and bipower variation with stochastic volatility and jumps
This paper shows that realised power variation and its extension we introduce here called realised bipower variation is somewhat robust to rare jumps.
O. Barndorff-Nielsen, N. Shephard
semanticscholar +3 more sources
The Heston stochastic volatility model in Hilbert space [PDF]
We extend the Heston stochastic volatility model to a Hilbert space framework. The tensor Heston stochastic variance process is defined as a tensor product of a Hilbert-valued Ornstein–Uhlenbeck process with itself. The volatility process is then defined
F. Benth, Iben Cathrine Simonsen
semanticscholar +3 more sources
Large Order-Invariant Bayesian VARs with Stochastic Volatility [PDF]
Many popular specifications for Vector Autoregressions (VARs) with multivariate stochastic volatility are not invariant to the way the variables are ordered due to the use of a lower triangular parameterization of the error covariance matrix.
J. Chan, G. Koop, Xuewen Yu
semanticscholar +1 more source
Modeling Price Dynamics and Risk Forecasting in Tehran Stock Exchange Market: Nonlinear and Non-gaussian Models of Stochastic Volatility [PDF]
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
Addressing COVID-19 Outliers in BVARs with Stochastic Volatility
The COVID-19 pandemic has led to enormous data movements that strongly affect parameters and forecasts from standard Bayesian vector autoregressions (BVARs). To address these issues, we propose BVAR models with outlier-augmented stochastic volatility (SV)
Andrea Carriero+3 more
semanticscholar +1 more source
A Generative Adversarial Network Approach to Calibration of Local Stochastic Volatility Models [PDF]
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
semanticscholar +1 more source
Pricing of Pseudo-Swaps Based on Pseudo-Statistics
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
Challenges of integrated variance estimation in emerging stock markets [PDF]
Estimating integrated variance, using high frequency data, requires modelling experience and data crunching skills. Although intraday returns have attracted much attention in recent years, handling these data is challenging because of their ...
Josip Arnerić, Mario Matković
doaj +1 more source