Building multivariate Sato models with linear dependence

The increased trading in multi-name financial products has required the development of state-of-the-art multivariate models. These models should be computationally tractable and, at the same time, flexible enough to explain the stylized facts of asset log-returns and of their dependence structure. The popular class of multivariate Lévy models provides a variety of tractable models, but suffers from one major shortcoming: Lévy models can replicate single-name derivative prices for a given time-to-maturity, but not for the whole range of quoted strikes and maturities, especially during periods of market turmoil. Moreover, there is a significant discrepancy between the moment term structure of Lévy models and the one observed in the market. Sato processes on the other hand exhibit a moment term structure that is more in line with empirical evidence and allow for a better replication of single-name option price surfaces. In this paper, we propose a general framework for multivariate models characterized by independent and time-inhomogeneous increments, where the asset log-return processes at unit time are modeled as linear combinations of independent self-decomposable random variables, where at least one self-decomposable random variable is shared by all the assets. As examples, we consider two general subclasses within this new framework, where we assume a normal variance-mean mixture with a one-sided tempered stable mixing density or a difference of one-sided tempered stable laws for the distribution of the risk factors. Particular attention is given to the models' ability to explain the asset dependence structure. A numerical study reveals the advantages of these new types of models.     

Towards a $$\Delta $$Δ-Gamma Sato multivariate model

Review of Derivatives Research - The increased trading in multi-name financial products has paved the way for the use of multivariate models that are at once computationally tractable and flexible...     

关于我国自然资源监管体制改革问题的思考

自然资源监管体制改革是全面深化改革的重要组成部分,是履行自然资源部"两统一"职责的有力抓手。文章分析了自然资源监管对生态文明体制改革、国家治理体系和治理能力现代化以及"放管服"改革的重要意义;指出自然资源监管领域存在统计标准有差异、监管法律支撑不足、基层执法力量薄弱等问题;从中央和地方、政府和市场、制度惯性和制度变迁、成本和效能四个维度认识自然资源监管中存在的关系;最后在"四个治理"的基础上提出要注重监管的系统性、依法性、综合性和源头性,从而构建起优化协同高效的自然资源监管体系。