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The Analysis of Implied Volatilities [PDF]

open access: yes, 2002
The analysis of volatility in financial markets has become a first rank issue in modern financial theory and practice: Whether in risk management, portfolio hedging, or option pricing, we need to have a precise notion of the market’s expectation of volatility.
Fengler, Matthias   +2 more
openaire   +5 more sources

The Application of Symbolic Regression on Identifying Implied Volatility Surface

open access: yesMathematics, 2023
One important parameter in the Black–Scholes option pricing model is the implied volatility. Implied volatility surface (IVS) is an important concept in finance that describes the variation of implied volatility across option strike price and time to ...
Jiayi Luo, Cindy Long Yu
doaj   +1 more source

Investor Sentiment Index and Option Price Volatility Based on MIDAS Model: Evidence from China [PDF]

open access: yesSHS Web of Conferences, 2021
The paper selects the transaction data of the option market and network data from June 1, 2015 to February 2, 2018. The principal component analysis is adopted to construct investor sentiment index.
Xiao Haiyan, Hao Yingxin, Wu Sirong
doaj   +1 more source

Fractional Black–Scholes option pricing, volatility calibration and implied Hurst exponents in South African context

open access: yesSouth African Journal of Economic and Management Sciences, 2017
Background: Contingent claims on underlying assets are typically priced under a framework that assumes, inter alia, that the log returns of the underlying asset are normally distributed.
Emlyn Flint, Eben Maré
doaj   +1 more source

The predictive power of stock market's expectations volatility: A financial synchronization phenomenon.

open access: yesPLoS ONE, 2021
We explore the use of implied volatility indices as a tool for estimate changes in the synchronization of stock markets. Specifically, we assess the implied stock market's volatility indices' predictive power on synchronizing global equity indices ...
Nicolás Magner   +3 more
doaj   +1 more source

Implied Volatility Functions [PDF]

open access: yesThe Journal of Derivatives, 2000
This paper proposes and investigates a class of dynamic implied volatility function models (DIVF). This class of models separates the time-invariant implied volatility function from the stochastic state variables which drive changes in the individual implied volatilities. The dynamics of the state variables are modeled explicitly.
openaire   +2 more sources

An Intuitive Introduction to Fractional and Rough Volatilities

open access: yesMathematics, 2021
Here, we review some results of fractional volatility models, where the volatility is driven by fractional Brownian motion (fBm). In these models, the future average volatility is not a process adapted to the underlying filtration, and fBm is not a ...
Elisa Alòs, Jorge A. León
doaj   +1 more source

A Lower Bound for the Volatility Swap in the Lognormal SABR Model

open access: yesAxioms, 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
doaj   +1 more source

Forecasting Stock Market Volatility: A Combination Approach

open access: yesDiscrete Dynamics in Nature and Society, 2020
We find that combining two important predictors, stock market implied volatility and oil volatility, can improve the predictability of stock return volatility.
Zhifeng Dai   +3 more
doaj   +1 more source

The log‐moment formula for implied volatility [PDF]

open access: yesMathematical Finance, 2021
AbstractWe revisit the foundational Moment Formula proved by Roger Lee fifteen years ago. We show that in the absence of arbitrage, if the underlying stock price at time T admits finite log‐moments for some positive q, the arbitrage‐free growth in the left wing of the implied volatility smile for T is less constrained than Lee's bound.
Vimal Raval, Antoine Jacquier
openaire   +3 more sources

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