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Empirical Analysis of Stochastic Volatility Model by Hybrid Monte Carlo Algorithm [PDF]
The stochastic volatility model is one of volatility models which infer latent volatility of asset returns. The Bayesian inference of the stochastic volatility (SV) model is performed by the hybrid Monte Carlo (HMC) algorithm which is superior to other Markov Chain Monte Carlo methods in sampling volatility variables.
arxiv +1 more source
Option Pricing under the Jump Diffusion and Multifactor Stochastic Processes
In financial markets, there exists long-observed feature of the implied volatility surface such as volatility smile and skew. Stochastic volatility models are commonly used to model this financial phenomenon more accurately compared with the conventional
Shican Liu+3 more
doaj +1 more source
Numerical Simulation of the Heston Model under Stochastic Correlation
Stochastic correlation models have become increasingly important in financial markets. In order to be able to price vanilla options in stochastic volatility and correlation models, in this work, we study the extension of the Heston model by imposing ...
Long Teng+2 more
doaj +1 more source
Pricing Collar Options with Stochastic Volatility
This paper studies collar options in a stochastic volatility economy. The underlying asset price is assumed to follow a continuous geometric Brownian motion with stochastic volatility driven by a mean-reverting process.
Pengshi Li, Jianhui Yang
doaj +1 more source
Medidas alternativas de volatilidad en el mercado de valores peruano
This document seeks to compare the main volatility calculation methodologies for the Peruvian stock market. Three volatility calculation methods are presented, the EWMA model, the GARCH model and the Stochastic Volatility (SV) model.
Rafael Nivin Valdiviezo
doaj +1 more source
Local volatility under rough volatility [PDF]
Several asymptotic results for the implied volatility generated by a rough volatility model have been obtained in recent years (notably in the small-maturity regime), providing a better understanding of the shapes of the volatility surface induced by rough volatility models, and supporting their calibration power to S&P500 option data. Rough volatility
arxiv
Model of Continuous Random Cascade Processes in Financial Markets
This article presents a continuous cascade model of volatility formulated as a stochastic differential equation. Two independent Brownian motions are introduced as random sources triggering the volatility cascade: one multiplicatively combines with ...
Jun-ichi Maskawa, Koji Kuroda
doaj +1 more source
In general, derivation of closed-form analytic formulas for the prices of path-dependent exotic options is a challenging task when the underlying asset price model is chosen to be a stochastic volatility model.
Min-Ku Lee, Jeong-Hoon Kim
doaj +1 more source
Forecasting the Crude Oil Prices Volatility With Stochastic Volatility Models
In this article, the stochastic volatility model is introduced to forecast crude oil volatility by using data from the West Texas Intermediate (WTI) and Brent markets.
Dondukova Oyuna, Liu Yaobin
doaj +1 more source
Developing process parameters for the laser‐based Powder Bed Fusion of metals can be a tedious task. Based on melt pool depth, the process parameters are transferable to different laser scan speeds. For this, understanding the melt pool scaling behavior is essential, particularly for materials with high thermal diffusivity, as a change in scaling ...
Markus Döring+2 more
wiley +1 more source