基金风险改变了投资者的业绩敏感程度吗？——基于基金业绩波动与资金净流量关系的实证研究

本文利用我国2005年至2011年期间开放式基金的面板数据,研究了基金业绩波动对投资者业绩敏感程度的影响。在验证了基金资金净流量与基金业绩的正相关关系后,实证研究发现:(1)基金业绩波动降低了投资者对基金业绩的敏感程度:基金业绩波动越大,相同业绩提升带来的资金净流量越少;(2)对于不同业绩类型的基金,业绩波动对基金“业绩—资金净流量”关系的反向影响程度也有所不同:这一影响主要体现在绩劣基金中,中等业绩基金次之,在明星基金中反而体现为正向影响。     

A New Method for Testing Leverage Effect

Leverage effect often arises in many fields,such as financial risk management, portfolio and option pricing. However,it still remains to be studied that whether there is leverage effect or not in real data. Based on local polynomial regression estimation and Kolmogorov-Smirnov nonparametric test, this paper introduces a new nonparametric test statistic for the leverage effect, and some asymptotic properties are also presented. Simulation studies show that the proposed method performs well. Finally, empirical studies on SP500 index and Microsoft data imply that leverage effect exists in the real data, which is consistent with the idea in finance.     

股价波动的指数O-U过程模型

本文针对股价波动的几何布朗运动模型对收益率假设的缺陷,对该模型进行了改进,并建立了股价波动的指数OkU过程模型,得到了比传统模型更好的结果.     

Computation of the Delta in Multidimensional Jump-Diffusion Setting with Applications to Stochastic Volatility Models

We study the robustness of options prices to model variation in a multidimensional jump-diffusion framework. In particular, we consider price dynamics in which small variations are modeled either by a Poisson random measure with infinite activity or by a Brownian motion. We consider both European and Exotic options and we study their deltas using two approaches: the Malliavin method and the Fourier method. We prove robustness of the deltas to model variation. We apply these results to the study of stochastic volatility models for the underlying and the corresponding options.     

An efficient ETD method for pricing American options under stochastic volatility with nonsmooth payoffs

Based on Cox and Matthews Exponential Time Differencing (ETD) approach, a fourth–order strongly–stable method having real distinct poles is developed and applied to solve American options under stochastic volatility with nonsmooth payoffs. A computationally efficient version of the method is constructed using partial fraction splitting technique. This approach requires to solve several backward Euler‐type linear systems at each time step. Numerical experiments are presented to demonstrate the computational efficiency, accuracy, and reliability of the method. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013     

随机波动率市场存在股票误价时的最优投资策略

本文研究了随机波动率市场中存在股票误价(mispricing)时的最优投资组合选择问题.假设投资者的目标是最大化终端财富的期望幂效用;其可投资于无风险资产、市场指数和两支相同权益或近似度极高的股票,其中至少有一支股票存在误价;市场收益的波动率和股票系统风险由Heston随机波动率模型刻画.运用动态规划方法和Lagrange乘子法,分别得到不存在/存在有限卖空约束时,投资者的最优投资策略及最优值函数的解析式,并通过理论分析和数值算例,阐述了投资时间水平和价格随机误差对最优投资策略的影响.     

成交量信息有助于预测中国股票市场的波动吗?

就成交量信息是否有助于预测股票市场的波动率这一问题,目前学术界有两种截然相反的观点存在。本文以中国股票市场代表性指数的代表性波动周期为例,对上述问题进行了实证研究。通过采用较以往研究更为严谨和稳健的样本外滚动时间窗预测法和高级预测能力检验法(Superiorpredictive ability,SPA),本文得到的分析结论包括:(1)成交量信息对中国股票市场的波动过程有显著影响;(2)将成交量纳入GARCH族模型会导致条件方差方程中的波动持续性出现明显下降;(3)引入成交量作为附加解释变量的GARCH族模型并未表现出比一般GARCH族模型更优的波动率预测能力。最后对实证结果给出了理论解释。     

上证综指的已实现波动率预测模型

采用上证综指2000-2008年的高频数据,在考察了中国股市已实现波动率的特征(即具有长记忆性、结构突变、不对称性和周内效应的特征并且结构突变只能部分解释已实现波动率的长记忆性)的基础上,构建了一个自适应的不对称性HAR-D-FIGARCH模型,并用于波动率的预测。模型的估计结果表明,与其他HAR模型相比,该模型对样本内数据的拟合效果最好。最后,通过SPA检验实证评价和比较了该模型与其他5种已实现波动率预测模型的样本外预测精度。结果发现,在各种损失函数下,该模型是预测中国股市已实现波动率精度最高的模型。