Results 11 to 20 of about 727,591 (368)
The fractional volatility model and rough volatility [PDF]
The question of the volatility roughness is interpreted in the framework of a data-reconstructed fractional volatility model, where volatility is driven by fractional noise. Some examples are worked out and also, using Malliavin calculus for fractional processes, an option pricing equation and its solution are obtained.
arxiv +3 more sources
On the Volatility of Volatility [PDF]
The Chicago Board Options Exchange (CBOE) Volatility Index, VIX, is calculated based on prices of out-of-the-money put and call options on the S&P 500 index (SPX). Sometimes called the "investor fear gauge," the VIX is a measure of the implied volatility of the SPX, and is observed to be correlated with the 30-day realized volatility of the SPX ...
Stephen D. H. Hsu, Brian M. Murray
openaire +4 more sources
The Volatility of Realized Volatility [PDF]
In recent years, with the availability of high-frequency financial market data modeling realized volatility has become a new and innovative research direction. The construction of “observable” or realized volatility series from intra-day transaction data and the use of standard time-series techniques has lead to promising strategies for modeling and ...
CORSI, Fulvio+3 more
openaire +8 more sources
Volatility-of-Volatility Risk [PDF]
We show that market volatility of volatility is a significant risk factor that affects index and volatility index option returns, beyond volatility itself. The volatility and volatility of volatility indices, identified model-free as the VIX and VVIX, respectively, are only weakly related to each other.
Darien Huang+4 more
openaire +5 more sources
From volatility smiles to the volatility of volatility [PDF]
The paper reviews models of the option surface and reduced-form models for stochastic volatility in continuous time, under the risk-neutral measure. It defines “forward volatilities,” analogous to forward interest rates in the theory of the term structure, and provides a proof that the forward volatility is a conditional expected value, under the risk ...
Bernard Dumas+3 more
openaire +2 more sources
Volatility of volatility of financial markets [PDF]
We present empirical evidence for considering volatility of Eurodollar futures as a stochastic process, requiring a generalization of the standard Black-Scholes (BS) model which treats volatility as a constant. We use a previous development of a statistical mechanics of financial markets (SMFM) to model these issues.
L. Ingber, J.K. Wilson
openaire +2 more sources
Volatility and Development [PDF]
Why is GDP growth so much more volatile in poor countries than in rich ones? We identify three possible reasons: (i) poor countries specialize in fewer and more volatile sectors; (ii) poor countries experience more frequent and more severe aggregate shocks (e.g., from macroeconomic policy); and (iii) poor countries' macroeconomic fluctuations are more ...
Miklós Koren+2 more
openaire +6 more sources
Volatility has been one of the most active and successful areas of research in time series econometrics and economic forecasting in recent decades. This chapter provides a selective survey of the most important theoretical developments and empirical insights to emerge from this burgeoning literature, with a distinct focus on forecasting applications ...
Andersen, Torben G.+3 more
openaire +5 more sources
Coronavirus and Financial Volatility: 40 Days of Fasting and Fear [PDF]
40 days after the start of the international monitoring of COVID-19, we search for the effect of official announcements regarding new cases of infection and death ratio on the financial markets volatility index (VIX).
§. C. Albulescu
semanticscholar +1 more source
An analysis of volatility and herd behavior among investors in the S&P500 stock market index, Bitcoin, and gold markets [PDF]
In recent years, cryptocurrency has attracted more attention and is a new option in the economy and the financial sector. The purpose of this study is to the volatility and “herd behavior” of the cryptocurrency, gold, and stock markets in the US.
Mohammad Qezelbash+4 more
doaj +1 more source