熵定价公式的套期保值参数研究及其在动态对冲中的应用

在不完全市场条件下,对熵定价公式进行推导;在此基础上,推导出熵定价公式的套期保值参数的求解公式;并利用套期保值参数,对在熵定价模型下的动态对冲进行了研究。     

防范套期保值资金风险探析

在现代套期保值制度中,防范资金风险,加强资金管理,构建科学的资金管理秩序,提高资金运营效率是套期保值财务管理的核心所在,也是套期保值在竞争中获胜并保持可持续发展的关键因素.     

Quadratic hedging for sequential claims with random weights in discrete time

We study a quadratic hedging problem for a sequence of contingent claims with random weights in discrete time. We obtain the optimal hedging strategy explicitly in a recursive representation, without imposing the non-degeneracy (ND) condition on the model and square integrability on hedging strategies. We relate the general results to hedging under random horizon and fair pricing in the quadratic sense. We illustrate the significance of our results in an example in which the ND condition fails.     

基于Monte-Carlo模拟的最小亏损套期保值策略研究

把终期的期望亏损定义为风险,研究了标的资产价格服从跳扩散结构时的自筹资最小亏损风险套期保值.首先通过Monte-Carlo模拟生成标的资产若干条价格路径并用所有路径上的终期亏损平均值作为优化目标期望值的估计,然后引入基函数作为套期保值头寸的近似逼近,最后通过数值方法得到最优套期保值策略.最后通过实例分析表明:1)套期保值头寸调整的频率相对较高时,可以更好地应对市场出现的价格波动,从而降低可能面临的损失风险,达到较好的保值效果;2)欧式看涨期权的交割价格与对冲头寸呈反向变化,交割价格越高,可适当调低持有的对冲头寸,反之则反,这样,即对冲风险又节约成本.     

一类金融衍生产品的二叉树方法

文章首先介绍了期权及外汇理财产品的性质特点和风险,然后说明了中国银行发行的外汇宝:"美元稳健进取"理财产品的具体条款.其次利用△-对冲思想和Ito公式建立了外汇理财产品的偏微分方程定价模型,利用偏微分方程的理论,给出了该模型的解的形式.并利用二叉树方法进行了数值计算,得到产品在t=0时的价值.然后我们对不同的波动率,美元利率,欧元利率进行分析,得到的结论是:产品的价值与波动率、美元利率、欧元利率呈反比.     

基于期现共跳的股指期货套期保值研究

本文构建VECM-ARJI-MGARCH模型研究了中国股指期货和现货的长期均衡关系、动态方差、期现共跳特征以及套期保值绩效。结果表明,股指期货和现货表现出显著的共跳性,跳跃强度呈现较高持续性的时变特征。套期保值绩效表明,动态套保比总体优于静态套保比,包含跳跃成分的VECM-ARJI-MGARCH模型的样本外套期保值绩效好于VECM-MGARCH模型,时变跳跃强度模型的样本外套期保值绩效最好。     

Cooperative hedging in the complete market under <Emphasis Type="Italic">g</Emphasis>-expectation constraint

The paper studies the muiti-agent cooperative hedging problem of contingent claims in the complete market when the g-expected shortfall risks are bounded. We give the optimal cooperative hedging strategy explicitly by the Neyman-Pearson lemma under g-probability.     

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.     

Self-dual continuous processes

The important application of semi-static hedging in financial markets naturally leads to the notion of conditionally quasi self-dual processes which is, for continuous semimartingales, related to conditional symmetry properties of both their ordinary as well as their stochastic logarithms. We provide a structure result for continuous conditionally quasi self-dual processes. Our main result is to give a characterization of continuous Ocone martingales via a strong version of self-duality.