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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Estimating Factor-Based Spot Volatility Matrices with Noisy and Asynchronous High-Frequency Data
噪声 异步高频 数据估算 因子 现货波动率 矩阵
2023/5/4
With noisy and asynchronous high-frequency data collected for an ultra-large number of assets, we estimate high-dimensional spot volatility matrices satisfying a low-rank plus sparse structure. A loca...
Day-of-the-week effect in the Nigerian Stock Market Returns and Volatility: Does the Distributional Assumptions Influence Disappearance?
Day-of-the-week Disappearance GARCH Model Stock
2016/1/27
This study assesses the influence of error distributional assumption on appearance or disappearance of day-of-the-week effects in returns and volatility using the Nigerian stock exchange (NSE-30). The...
Simple techniques for likelihood analysis of univariate and multivariate stable distributions: with extensions to multivariate stochastic volatility and dynamic factor models
Univariate and multivariatestable distributions MCMC Approximate,Aayesian,Computation Characteristic function
2012/11/21
In this paper we consider a variety of procedures for numerical statistical inference in the family of univariate and multivariate stable distributions. In connection with univariate distributions (i)...
Small-time asymptotics for fast mean-reverting stochastic volatility models
Stochastic volatility multi-scale asymptotic large deviation principle implied volatility smile/skew
2010/12/15
In this paper, we study stochastic volatility models in regimes where the maturity is small but large compared to the mean-reversion time of the stochastic volatility factor.
On dependence of the implied volatility on returns for stochastic volatility models
stochastic volatility the Heston model conditional expectation of variance
2010/12/16
We study the dependence of volatility on the stock price in the stochastic volatility framework on the example of the Heston model. To be more specific, we consider the conditional expectation of vari...
We consider a stochastic volatility model with L´evy jumps for a log-return pro-cess Z = (Zt)t≥0 of the form Z = U +X, where U = (Ut)t≥0 is a classical stochastic volatility process and X = (Xt)...
Minimizing the Probability of Lifetime Ruin under Stochastic Volatility
Optimal investment minimizing the probability of lifet imeruin stochastic volatility
2010/4/27
We assume that an individual invests in a financial market with one riskless and one risky asset, with the latter's price following a diffusion with stochastic volatility. In the current financial mar...
Minimizing the Probability of Lifetime Ruin under Stochastic Volatility
Optimal investment minimizing the probability of lifet imeruin stochastic volatility
2010/4/27
We assume that an individual invests in a financial market with one riskless and one risky asset, with the latter's price following a diffusion with stochastic volatility. In the current financial mar...
Basket Options Valuation for a Local Volatility Jump-Diffusion Model with the Asymptotic Expansion Method
Basket options pricing local volatility jump-diffusionmodel forward PIDE asymp-totic expansion
2010/4/27
In this paper we discuss the basket options valuation for a jump-diffusion model. The underlying asset prices follow some correlated local volatility diffusion processes with systematic jumps. We deri...
Arbitrage Opportunities in Misspecified Stochastic volatility Models
stochastic volatility model misspecification volatility arbitrage butterfly riskreversal SABR model
2010/4/27
There is vast empirical evidence that given a set of assumptions on the real-world dynamics of an asset, the European options on this asset are not efficiently priced in options markets, giving rise t...
Large-volatility dynamics in financial markets
Large-volatility dynamics financial markets
2010/4/27
We investigate the large-volatility dynamics in financial markets, based on the minutely and daily data of the Chinese Indices and German DAX. The dynamic relaxation both before and after large volati...
A new space-time model for volatility clustering in the financial market
space-time model volatility clustering financial market
2010/4/27
A new space-time model for interacting agents on the financial market is presented. It is a combination of the Curie-Weiss model and a space-time model introduced by J\"arpe 2005. Properties of the mo...
Asset returns and volatility clustering in financial time series
volatility clustering financial time series
2010/4/27
An analysis of the stylized facts in financial time series is carried out. We find that, instead of the heavy tails in asset return distributions, the slow decay behaviour in autocorrelation functions...
Extra-Dimensional Approach to Option Pricing and Stochastic Volatility
Extra-Dimensional Option Pricing Stochastic Volatility
2010/4/27
The generalized 5D Black-Scholes differential equation with stochastic volatility is derived. The projections of the stochastic evolutions associated with the random variables from an enlarged space o...
Is the minimum value of an option on variance generated by local volatility?
localvol Dupire's formula MSC:91G99 JEL:G1
2010/4/27
We discuss the possibility of obtaining model-free bounds on volatility derivatives, given present market data in the form of a calibrated local volatility model. A counter-example to a wide-spread co...