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 +3 more sources
The continuity and estimates of a solution to mixed fractional constant elasticity of variance system with stochastic volatility and the pricing of vulnerable options [PDF]
Stochastic volatility models play an important role in finance modeling. Under a mixed fractional Brownian motion environment, we study the continuity and estimates of a solution to a kind of stochastic differential equations with double volatility terms.
Yan Dong
doaj +2 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
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
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
It has been found that the surface of implied volatility has appeared in financial market embrace volatility “Smile” and volatility “Smirk” through the long-term observation.
Yanli Zhou +3 more
doaj +1 more source
Capturing the volatility smile: parametric volatility models versus stochastic volatility models [PDF]
Black-Scholes option pricing model (1973) assumes that all option prices on the same underlying asset with the same expiration date, but different exercise prices should have the same implied volatility.
Belen Blanco
doaj +1 more source
The time-varying asymmetry of exchange rate returns : a stochastic volatility - stochastic skewness model [PDF]
While the time-varying volatility of financial returns has been extensively modelled, most existing stochastic volatility models either assume a constant degree of return shock asymmetry or impose symmetric model innovations. However, accounting for time-
Iseringhausen, Martin
core +1 more source
Estimation of Realized Asymmetric Stochastic Volatility Models Using Kalman Filter
Despite the growing interest in realized stochastic volatility models, their estimation techniques, such as simulated maximum likelihood (SML), are computationally intensive.
Manabu Asai
doaj +1 more source

