Scaling and long-range dependence in option pricing I: Pricing European option with transaction costs under the fractional Black–Scholes model

This paper deals with the problem of discrete time option pricing by the fractional Black–Scholes model with transaction costs. By a mean self-financing delta-hedging argument in a discrete time setting, a European call option pricing formula is obtained. The minimal price of an option under transaction costs is obtained as timestep , which can be used as the actual price of an option. In fact, is an adjustment to the volatility in the Black–Scholes formula by using the modified volatility to replace the volatility σ, where is the Hurst exponent, and k is a proportional transaction cost parameter. In addition, we also show that timestep and long-range dependence have a significant impact on option pricing.     

Two-dimensional warranty repair strategy based on minimal and complete repairs

For repairable products, the warrantor has options in choosing the degree of repair applied to an item that has failed within the warranty period. We focus on a particular warranty repair strategy, related to the degree of the warranty repair, for non-renewing, two-dimensional, free of charge to the consumer warranty policy. We consider a rectangular warranty region and divide it into three disjoint subregions, so that each of these subregions has a preassigned degree of repair for a faulty item. Our main goal is to determine the subregions, so that the associated expected warranty servicing cost per item sold is minimised. A comparison between our strategy and previously studied, more restrictive, ones is provided.     

FOREIGN CURRENCY OPTION PRICING WITH PROPORTIONAL TRANSACTION COSTS

The purpose of present work is to examine the financial problem of finding the universal reservation prices of a European call option written on exchange rate when there is proportional transaction costs of trading foreign currency in the market. An approach is suggested to compute the reservation bid-ask price of foreign currency call option based on maximizing the investor＇s expected utility. Option prices are determined from the investor＇s basic portfolio selection problem, without the need to solve a more complex optimization problem involving the insertion of the option payoffs into the terminal value function. Option prices are computed numerically in a Markov chain approximation for the case of exponential utility. Numerical results show that the option price bounds are almost independent of the alternative risk aversion parameter, but the bounds of NT region becomes narrower and the range of values of the initial holding for which the fair price lies within the bid-ask spread is shifted to a lower value when the risk aversion parameter increases.     

Discrete–time delta hedging and the Black–Scholes model with transaction costs

The paper deals with the problem of discrete–time delta hedging and discrete-time option valuation by the Black–Scholes model. Since in the Black–Scholes model the hedging is continuous, hedging errors appear when applied to discrete trading. The hedging error is considered and a discrete-time adjusted Black–Scholes–Merton equation is derived. By anticipating the time sensitivity of delta in many cases the discrete-time delta hedging can be improved and more accurate delta values dependent on the length of the rebalancing intervals can be obtained. As an application the discrete-time trading with transaction costs is considered. Explicit solution of the option valuation problem is given and a closed form delta value for a European call option with transaction costs is obtained.     

ENERGY‐USE CHOICES AND ALLOWANCE TRADING UNDER THE PERSONAL CARBON TRADING SCHEME

Carbon emissions caused by the household sector have become a major contributor to total emissions. Personal carbon trading (PCT), although untested in practice, could potentially be a powerful tool to induce change in consumer behavior. In this paper, we present an optimization model to determine the energy use choices and allowance trading, and a market equilibrium model to obtain the total supply and demand functions of allowances and then to derive the equilibrium allowance price. It is shown that the level of allocated allowance, energy price, emission rate, and transaction costs could influence the equilibrium allowance price and traded volume. Furthermore, the allowance price is affected negatively and slightly by changes in energy prices, so the total energy price variations will be lessened relatively in the PCT scheme. To further demonstrate these relationships, numerical simulations are conducted. On the basis of the simulation results, the implications of this study are discussed and suggestions for future study are provided.     

浅述新会计准则对无形资产的修订

2006年《企业会计准则》第6号对2001年1月18日发布的《企业会计准则——无形资产》作了五个方面的修订,文章就此进行了探讨论述。     

空间竞争中的一个等价条件

本文考虑空间竞争模型，我们将证明价格平衡和社会成本一的最低是等价的。这一结果对政府的宏观调控具有指导作用。     

Optimal strategies for hedging portfolios of unit-linked life insurance contracts with minimum death guarantee

In this paper, we are interested in hedging strategies which allow the insurer to reduce the risk to their portfolio of unit-linked life insurance contracts with minimum death guarantee. Hedging strategies are developed in the Black and Scholes model and in the Merton jump-diffusion model. According to the new frameworks (IFRS, Solvency II and MCEV), risk premium is integrated into our valuations. We will study the optimality of hedging strategies by comparing risk indicators (Expected loss, volatility, VaR and CTE) in relation to transaction costs and costs generated by the re-hedging error. We will analyze the robustness of hedging strategies by stress-testing the effect of a sharp rise in future mortality rates and a severe depreciation in the price of the underlying asset.     

Balancing the fit and logistics costs of market segmentations

Segments are typically formed to serve distinct groups of consumers with differentiated marketing mixes, that better fit their specific needs and wants. However, buyers in a segment are not necessarily geographically closely located. Serving a geographically dispersed segment with one marketing mix can increase the logistics costs in the form of high transportation costs and long lead times.This study proposes a segmentation method that balances the fit of a segmentation strategy against the corresponding logistics costs. An application to the problem of segmenting a set of European regions, using consumers’ store attribute preferences as a segmentation basis, suggests segment-specific retail positioning strategies that reflect different decisions about store image attributes such as price, assortment, and atmosphere. This approach designates transnational segments that require acceptable logistics costs and offer the highest possible level of within segment homogeneity.     

均值-ES框架下带交易费用的资本资产市场中均衡价格的存在性与确定

探讨具有有限多个风险资产和一个无风险资产、有多个投资者参与的资本资产市场中非负均衡价格的存在性条件与确定问题,从以下角度改进了现有结果:采用期望损失(Expected shortfall,简称ES)作为风险度量,保证了均值-ES框架下所得结果与期望效用极大化原理结果的一致性;对证券收益的联合分布不做假设;考虑了比例交易费用对价格的影响,所得结果更贴近现实的金融市场;不仅给出了非负均衡价格存在唯一的充要条件,而且导出了其具体表达式;在对比分析其与现有结果异同的同时,还讨论了所给充要条件与定价公式的应用与经济解释.