A NOTE ON ARBITRAGE AND CLOSED CONVEX CONES

We give an example of a subspace K of     such that     , where     denotes the closure with respect to convergence in probablity. On the other hand, the cone   C ≔ K − L ^∞₊  is dense in   L ^∞  with respect to the weak-star topology  σ( L ^∞, L ¹)  . This example answers a question raised by I. Evstigneev. The topic is motivated by the relation of the notion of no arbitrage and the existence of martingale measures in Mathematical Finance.     

日本转移定价税制研究

转移价格是指跨国关联企业之间进行交易时使用的价格。70年代以后，随着日本经济实力的增强，日本企业经营国际化迅猛发展，出现了许多利用国际关联企业转移所得而避税的情况，而日本有关跨国公司转移定价的税制的实施，使这一避税现象得到了了的避免。随着我国加入WTO后外资的更多进入，加强转移定价的管理势在民行，学习发达国家的先进做法，将有助于我们在这方面少走弯路。     

A Nonstandard Approach to Option Pricing

Nonstandard probability theory and stochastic analysis, as developed by Loeb, Anderson, and Keisler, has the attractive feature that it allows one to exploit combinatorial aspects of a well-understood discrete theory in a continuous setting. We illustrate this with an example taken from financial economics: a nonstandard construction of the well-known Black-Scholes option pricing model allows us to view the resulting object at the same time as both (the hyperfinite version of) the binomial Cox-Ross-Rubinstein model (that is, a hyperfinite geometric random walk) and the continuous model introduced by Black and Scholes (a geometric Brownian motion). Nonstandard methods provide a means of moving freely back and forth between the discrete and continuous points of view. This enables us to give an elementary derivation of the Black-Scholes option pricing formula from the corresponding formula for the binomial model. We also devise an intuitive but rigorous method for constructing self-financing hedge portfolios for various contingent claims, again using the explicit constructions available in the hyperfinite binomial model, to give the portfolio appropriate to the Black-Scholes model. Thus, nonstandard analysis provides a rigorous basis for the economists' intuitive notion that the Black-Scholes model contains a built-in version of the Cox-Ross-Rubinstein model.     

Futures and forward price differential and the effect of marking‐to‐market: Australian evidence

The objective of this paper is to examine the effects of marking‐to‐market of futures contracts on the price differential between futures and forward contracts based on the predictions of the Cox, Ingersoll and Ross (1981) (CIR) model. Cox et al ., (1981) derive a series of propositions with respect to the relationship between futures and forward prices and a set of testable implications. These are tested empirically in this paper using Australian data from November 1991 to June 1997. The results provide evidence of the presence of significant futures and forward price differences, where the futures price is consistently below the forward price. Only partial support is found for the Cox et al ., (1981) propositions, implying that the effect of marking‐to‐market is not able to fully account for the price differential. Therefore, it is not possible to rule out the influence of other institutional factors on the futures‐forward price difference.     

存货计价会计舞弊行为的审计

作为费用成本核算链上的重要一环——存货，是企业流动资产中占用比例最大、流动性最弱的项目。其种类繁多，收发频繁，经历采购、入库、保管、领发、使用等一些列生产经营过程，在企业滞留时间长，核算使用的账户多，内部流转和结算关系复杂，利用存货虚增资产、虚减税金、虚计损益的舞弊极易形成，而存货核算舞弊的手段之一便是利用存货计价的可选择性进行账户调节。因此，通过专门的审计方法与技巧来查找存货计价的舞弊原因与手段，对遏制会计信息失真有着重要意义。     

高新技术产业化中风险投资问题的实物期权分析

高新技术产业由于具有投资的不可逆性和很大的收益不确定性,因此不能采用传统的净现值方法来评估是否对其投资。本论文在分析高新技术产业特点的基础上,提出了嵌入期权的现金流量图评估方法,并且根据经验法则求出了风险投资公司应占高新技术企业的股份。     

中国上市公司配股定价问题探讨

根据配股过程中的股东利益的变化,对全流通和股权分置条件下的配股定价分别建立数理模型进行分析,建立了不同条件下的配股定价模型,求得对应的合理定价区间,并据此对2003-2005年配股的44家公司进行了实证研究,验证了我国配股定价普遍高估的结论,并发现市场对定价高估具有一定的识别能力.     

Uniform pricing effect: The influence of uniform pricing on product value judgement and purchase intention

Uniform pricing, which is a pricing strategy that sets a unified price for all products in the store or all products in the same category, is becoming increasingly popular over the past decades. However, scarce attention has been paid to investigating its impact on consumer behaviour. This research investigates the influence of uniform pricing on product value judgements and purchase intentions. Four studies demonstrate that uniform pricing (vs. non-uniform pricing) could induce stronger promotion perception, which leads to more positive product value judgements and purchase intentions. Moreover, price sensitivity and product involvement moderate this effect, and this effect only exists for high price-sensitive consumers and low product involvement consumers.     

Optimal measure preserving derivatives revisited

This article clarifies the relationship between pricing kernel monotonicity and the existence of opportunities for stochastic arbitrage in a complete and frictionless market of derivative securities written on a market portfolio. The relationship depends on whether the payoff distribution of the market portfolio satisfies a technical condition called adequacy, meaning that it is atomless or is comprised of finitely many equally probable atoms. Under adequacy, pricing kernel nonmonotonicity is equivalent to the existence of a strong form of stochastic arbitrage involving distributional replication of the market portfolio at a lower price. If the adequacy condition is dropped then this equivalence no longer holds, but pricing kernel nonmonotonicity remains equivalent to the existence of a weaker form of stochastic arbitrage involving second-order stochastic dominance of the market portfolio at a lower price. A generalization of the optimal measure preserving derivative is obtained, which achieves distributional replication at the minimum cost of all second-order stochastically dominant securities under adequacy.