Variance optimal hedging for continuous time additive processes and applications

For a large class of vanilla contingent claims, we establish an explicit Föllmer–Schweizer decomposition when the underlying is an exponential of an additive process. This allows to provide an efficient algorithm for solving the mean variance hedging problem. Applications to models derived from the electricity market are performed.     

灌溉水库宽浅型优化调度目标函数改进及应用

对于灌溉水量时程分配问题,由于需水过程不均匀且时程关联性较强,采用宽浅型优化调度模型解决更加合理。根据宽浅型目标的含义,解析分析了缺水率平方和最小的目标函数。结果表明,该目标函数并不能得到缺水率均匀的供水过程,缺水率与需水量成正比;借鉴缺水率平方和最小目标函数的基本形式,考虑水量平衡约束,构建拉格朗日函数,导出了能得到缺水率均匀的新目标函数;考虑到农作物不同生育期的缺水敏感性不同,引入水分敏感系数,构建了加权缺水率均匀目标函数。通过多种来水过程的实例分析,验证了改进目标函数的合理性和有效性。     

Mixing stochastic dynamic programming and scenario aggregation

This paper describes a serial and parallel implementation of a hybrid stochastic dynamic programming and progressive hedging algorithm. Numerical experiments show good speedups in the parallel implementation. In spite of this, our hybrid algorithm has difficulties competing with a pure stochastic dynamic programming approach on a given test case from macroeconomic control theory.This research has been conducted with financial support from the Norwegian Research Council. As most of this work was conducted under the TRACS program at the University of Edinburgh, we want to thank Ken McKinnon and all other helpful people at the Department of Mathematics and Statistics of Edinburgh University and at the Edinburgh Parallel Computing Centre. We are also very grateful to our colleague Stein W. Wallace for his continuing support of our work. Without him, this research would probably never have taken place. We would also like to thank an anonymous referee for helpful corrections and comments.     

基于债券久期的国债期货套期保值模型分析

使用久期的方法在中国国债期货市场上进行套期保值是否有效?使用久期的方法研究国债期货套期保值的效率问题在国外已经很多,然而这种方法是否适合于目前中国的国债市场,相关研究还不多见,还有待进一步的证实.为此借鉴国外相关理论,采用比较研究的方法,以国债期货上市后2013年9月到2014年5月初,国债现货和国债期货的数据为样本,以基于久期的最优套期保值比率模型为主,其他模型为辅,比较出最优套期保值效率.研究结果表明,基于久期的套期保值方法在目前中国的国债市场效果一般.     

A system of non-local parabolic PDE and application to option pricing

This article includes a proof of well posedness of an initial-boundary value problem involving a system of non-local parabolic partial differential equation (PDE), which naturally arises in the study of derivative pricing in a generalized market model, which is known as a semi-Markov modulated geometric Brownian motion (GBM) model We study the well posedness of the problem via a Volterra integral equation of second kind. A probabilistic approach, in particular the method of conditioning on stopping times is used for showing the uniqueness.     

Hedging Game Contingent Claims with Constrained Portfolios

Game option is an American-type option with added feature that the writer can exercise the option at any time before maturity. In this paper, we consider the problem of hedging Game Contingent Claims (GCC) in two cases. For the case that portfolio is unconstrained, we provide a single arbitrage-free price $P_0$. Whereas for the constrained case, the price is replaced by an interval $[h_{low},h_{up}]$ of arbitrage-free prices. And for the portfolio with some closed constraints, we give the expressions of the upper-hedging price and lower-hedging price. Finally, for a special type of game option, we provide explicit expressions of the price and optimal portfolio for the writer and holder.     

期货市场多阶段系列展期套期保值策略研究

在资产价格波动受多种因素影响时,系列套期保值是一种比成堆展期套期保值效果更好的策略,针对SH策略的不足,提出一类拓展的系列展期策略——MSRH,定义了其基差,建立了一般决策模型,最后使用一个实例进行说明.     

有摩擦金融市场中的美式未定权益定价

本文研究了高借款利率下投资策略受限制的美式未定权益的定价问题. 文章通过引入反映上述金融市场摩擦的辅助的无摩擦金融市场类给出了美式未定权益的上下套期保值价格$h_{\text{up}}(K)$和$h_{\text{low}}(K)$的定价公式. 进一步, 在基于金融市场无套利的准则下证明了$[h_{\text{low}}(K),h_{\text{up}}(K)]$是美式未定权益的无套利价格区间. 最后在投资策略受到某些具体限制的情形下, 以美式看涨期权为例, 给出了上下套期保值价格的显式表达式或估计式.     

一种非概率的利率模型

对于固定收益产品定价这个问题已经有很多种方法,将从另外一种角度来考虑这个问题,先通过T ay lor展开得到一个双曲型的偏微分方程,利用这个方程可以求出未定权益组合的最好最坏情景下的价格,然后再利用市场上已有的产品对此未定权益静态对冲,将会得到一个收益率曲线包络.     

我国外贸企业人民币升值加息双重风险同步管理与独立管理比较研究

我国出口外贸企业将来收到外汇货款又要借款用于生产,企业面临很大人民币汇率利率双重风险,因此迫切需要解决其风险管理问题。可以使用目前市场上交易的人民币外汇远期、外汇期货和利率远期等衍生工具,分别对这两项风险进行独立管理和同步管理。导出策略的回报、风险和效率等统计指标,比较评价这两种风险管理策略的优良性。得到同步管理比独立管理更加优越的结论,企业可以使用同步管理策略更有效地规避所面临的双重风险。