Multivariate Return Decomposition: Theory and Implications

In this paper, we propose a model based on multivariate decomposition of multiplicative – absolute values and signs – components of asset returns. In the m-variate case, the marginals for the m absolute values and the binary marginals for the m directions are linked through a 2m-dimensional copula. The approach is detailed in the case of a bivariate decomposition. We outline the construction of the likelihood function and the computation of different conditional measures. The finite-sample properties of the maximum likelihood estimator are assessed by simulation. An application to predicting bond returns illustrates the usefulness of the proposed method.     

Influential observations in GARCH models

This paper examines local influence assessment in generalized autoregressive conditional heteroscesdasticity models with Gaussian and Student-t errors, where influence is examined via the likelihood displacement. The analysis of local influence is discussed under three perturbation schemes: data perturbation, innovative model perturbation and additive model perturbation. For each case, expressions for slope and curvature diagnostics are derived. Monte Carlo experiments are presented to determine the threshold values for locating influential observations. The empirical study of daily returns of the New York Stock Exchange composite index shows that local influence analysis is a useful technique for detecting influential observations; most of the observations detected as influential are associated with historical shocks in the market. Finally, based on this empirical study and the analysis of simulated data, some advice is given on how to use the discussed methodology.     

Simulating random variables using moment-generating functions and the saddlepoint approximation

When we are given only a transform such as the moment-generating function of a distribution, it is rare that we can efficiently simulate random variables. Possible approaches such as the inverse transform using numerical inversion of the transform are computationally very expensive. However, the saddlepoint approximation is known to be exact for the Normal, Gamma, and inverse Gaussian distribution and remarkably accurate for a large number of others. We explore the efficient use of the saddlepoint approximation for simulating distributions and provide three examples of the accuracy of these simulations.     

Pricing arithmetic Asian option under a two-factor stochastic volatility model with jumps

This paper presents an efficient Monte Carlo simulation scheme based on the variance reduction methods to evaluate arithmetic average Asian options in the context of the double Heston's stochastic volatility model with jumps. This paper consists of two essential parts. The first part presents a new flexible stochastic volatility model, namely, the double Heston model with jumps. In the second part, by combining two variance reduction procedures via Monte Carlo simulation, we propose an efficient Monte Carlo simulation scheme for pricing arithmetic average Asian options under the double Heston model with jumps. Numerical results illustrate the efficiency of our method.     

Estimation of parameters of SDE driven by fractional Brownian motion with polynomial drift

ABSTRACT

Strongly consistent and asymptotically normal estimators of the Hurst index and volatility parameters of solutions of stochastic differential equations with polynomial drift are proposed. The estimators are based on discrete observations of the underlying processes.     

西部民族地区退耕还林还草的法律保障探讨

自然生态环境是人类赖以生存的基本条件,是经济社会发展的根本基础。自然生态环境的不断恶化,已成为制约西部地区经济社会持续发展的严重问题之一。我国制定“退耕还林还草”战略决策最主要的目的,就是为了给西部地区人民营造一个新的生存和发展空间。实施“退耕还林还草”的战略决策,必须尊重群众意愿,确保林草的成活率;必须遵循自然规律,因地制宜,宜林则林,宜草则草,实行综合治理;必须严格执行国务院关于“退耕还林、封山绿化、以粮代赈、个体承包”的法规措施;必须认真落实保护农民土地经营权的法律规范,树立生态环境可持续发展的法律协调观;必须建立和健全西部地区生态效益补偿机制,充分利用价格杠杆的作用促进西部地区的生态平衡。西部大开发要维护经济发展与生态的良性循环,建设山川秀美的新家园,让西部地区人民群众脱贫致富奔小康。     

中国股票市场波动率的多重分形分析与实证

我国股票市场波动表现出随时间变化的动态特征。文章采用多重消除趋势波动分析法(MFDFA),对沪深股市四个主要指数的日波动率时间序列进行了分析。结果表明,沪深股市四个主要指数的日波动率时间序列均表现出多重分形特征,且上证指数和中证500指数日波动率序列相对于其他两个指数日波动率序列表现出更强的多重分形特征。各指数日波动率时间序列的多重分形特征均是自身的长程相关性和波动的厚尾分布共同作用的结果,且波动的厚尾分布对原始序列的多重分形特征的影响比长程相关性大。     

基于混频数据模型的宏观经济对股票市场波动的长期动态影响研究

股票价格时间序列与宏观经济变量时间序列原始数据的不同频直接导致传统计量模型在处理宏观经济波动与股票市场波动的关系问题中产生模型误设和估计偏误。本文运用混频自回归条件异方差模型从水平值和波动率两个维度实证分析生产者价格指数、居民消费价格指数、宏观经济景气指数及同业拆借利率四个宏观经济变量对股票市场波动的长期动态影响。同时,运用主成分分析提取宏观经济第一主成分并构建一个宏观经济综合指数,进一步探究宏观经济总体状况对股票市场波动的长期影响。研究发现：股票市场已实现波动率显著地放大了股票市场的长期波动。生产者价格指数、居民消费价格指数、宏观经济景气指数的水平值和波动率均对股票市场长期波动产生显著影响;且其波动率维度呈现出较强的持续效应;同业拆借利率仅在水平值维度对股票市场波动长期成分产生微弱影响。宏观经济第一主成分和宏观综合指数的波动率对股票市场波动长期成分均具有显著的正向放大作用,但持续效应较弱;而其水平值对股票市场波动长期成分的影响虽然微弱,但持续时间较长。     

中国沪深股市的开盘效应与收盘效应

股票市场的日历效应历来受到学者和投资者的广泛关注,研究发现股市存在节日效应、月份效应与周内效应,但是针对日内效应的研究不多见.利用沪深股指2004年~2016年的高频数据,实证检验中国沪深股市是否存在日内效应,结果表明:中国沪深股市整体上存在开盘效应与收盘效应,但在牛市、熊市期间的表现形式存在差异,股指收益在牛市期间表现出正向开盘效应,在熊市期间表现出负向开盘效应,股指波动在熊市期间的开盘效应更为明显.基于滚动窗口法的进一步研究发现:股指收益开盘效应和收盘效应的变化领先于股指走势的变化,股指收益和波动的开盘效应或收盘效应存在一定程度的替代现象.研究有助于投资者合理地制定投资策略,对监管部门维护市场秩序具有一定的参考价值.