A sufficient and necessary condition for arbitrage-free pricing

This paper derives a sufficient and necessary condition for arbitrage-free pricing, by the mathematical definition of linear dependency. It states that any pricing function that can be expressed as a linear combination of some of its partial derivatives inherently possesses the arbitrage-free property. This condition can serve as a quick ‘reality check’ to help search for arbitrage-free asset pricing.     

银行卡定价理论的新发展--兼论对我国银行卡POS交易价格形成机制的启示

本文通过对银行卡定价理论新发展以及国外POS交易价格的研究．结合我国银行卡产业发展的实际情况。对我国银行卡POS交易价格形成机制进行了研究。研究表明：银行卡产业具有的双边市场特征和网络外部性特征使得银行卡POS交易的定价将是成本、竞争、双边市场需求等多种因素的综合反映。就中国银行卡产业发展现状而言，我国银行卡POS交易定价应该与国际接轨．由现有的单一定价模式转变为三级差别定价和二级差别定价相结合的差别定价模式。差别定价模式有利于建立科学合理的利益分配体系，促进和保障银行卡产业的持续健康稳定发展。     

¿Han sido el IBEX35 y el IPC definiciones financieramente eficientes del portafolio de mercado?

The present paper questions the financial efficiency of the most used market portfolio proxies in Spain and Mexico (IBEX35 and IPC) in order to determine if these can be considered a proper market portfolio proxy. The paper questions if they can be used as “neutrals”, according to Black & Litterman (1992) proposals in portfolio management. For this purpose, two discrete event simulations that use the Markowtiz-Tobin-Sharpe-Linter model (Markowitz, 1987, p.5) are performed with monthly data of the stock members of these indices in a February 2001 to December 2010 time window. The results are compared by using the Sharpe ratio (Sharpe, 1966) and show that the equilibrium assumptions in the market do not hold, leading to conclude that these market portfolio proxies are inefficient.     

Discussion of ‘Strategic pricing by Big 4 audit firms in private client segments’

This article discusses the paper by Dutillieux et al., (2013). The comments are in four main areas, regarding the importance of the research question, the setting in which the study is located, the theoretical development of the study and some thoughts regarding both supply‐ and demand‐side considerations around auditor change.     

Bayesian analysis of the factor model with finance applications

The factor analysis model has been widely applied to study finance problems. The purpose of this paper is to introduce a Bayesian approach for analysing the factor analysis model. The advantages of the proposed Bayesian approach over the classical maximum likelihood rest on its capability to incorporate additional prior information, to determine the number of factors in an objective manner, and to produce parameter and factor score estimates with good statistical properties. Based on recently developed tools in statistical computing, such as the Gibbs sampler and path sampling, methods for obtaining the Bayesian estimates of the parameters and factor scores, and a procedure for computing the Bayes factor for selecting the appropriate number of factors in the model, are developed. The proposed new methodologies are applied to analyse a data set taken from the Hong Kong stock security market. It is found that a three-factor model with a generic market factor can be used to describe the systematic components of asset returns.     

On option pricing models in the presence of heavy tails

We propose a modification of the option pricing framework derived by Borland which removes the possibilities for arbitrage within this framework. It turns out that such arbitrage possibilities arise due to an incorrect derivation of the martingale transformation in the non-Gaussian option models which are used in that paper. We show how a similar model can be built for the asset price processes which excludes arbitrage. However, the correction causes the pricing formulas to be less explicit than the ones in the original formulation, since the stock price itself is no longer a Markov process. Practical option pricing algorithms will therefore have to resort to Monte Carlo methods or partial differential equations and we show how these can be implemented. An extra parameter, which needs to be specified before the model can be used, will give market makers some extra freedom when fitting their model to market data.     

A new computational tool for analysing dynamic hedging under transaction costs

This paper highlights a framework for analysing dynamic hedging strategies under transaction costs. First, self-financing portfolio dynamics under transaction costs are modelled as being portfolio affine. An algorithm for computing the moments of the hedging error on a lattice under portfolio affine dynamics is then presented. In a number of circumstances, this provides an efficient approach to analysing the performance of hedging strategies under transaction costs through moments. As an example, this approach is applied to the hedging of a European call option with a Black–Scholes delta hedge and Leland's adjustment for transaction costs. Results are presented that demonstrate the range of analysis possible within the presented framework.     

Random matrix ensembles of time-lagged correlation matrices: derivation of eigenvalue spectra and analysis of financial time-series

We derive the exact form of the eigenvalue spectra of correlation matrices derived from a set of time-shifted, finite Brownian random walks (time-series). These matrices can be seen as real, asymmetric random matrices where the time-shift superimposes some structure. We demonstrate that, for large matrices, the associated eigenvalue spectrum is circular symmetric in the complex plane. This fact allows us to exactly compute the eigenvalue density via an inverse Abel-transform of the density of the symmetrized problem. We demonstrate the validity of this approach numerically. Theoretical findings are then compared with eigenvalue densities obtained from actual high-frequency (5 min) data of the S&P 500 and the observed deviations are discussed. We identify various non-trivial, non-random patterns and find asymmetric dependencies associated with eigenvalues departing strongly from the Gaussian prediction in the imaginary part. For the same time-series, with the market contribution removed, we observe strong clustering of stocks into causal sectors. We finally comment on the stability of the observed patterns.     

Close form pricing formulas for Coupon Cancellable CoCos

Contingent Convertibles (“CoCos”) are contingent capital instruments which convert into shares, or have a principal write down, if a trigger event takes place. CoCos exhibit the undesirable so-called death-spiral effect: by actively hedging the equity risk, investors can (unintentionally) force the conversion by making the share price deteriorate and eventually trigger the conversion.In this paper we introduce and analyse Coupon Cancellable CoCos (“CoCa CoCos”), a new type of CoCo where coupons can be cancelled during the lifetime of the note. We provide closed-form pricing formulas for CoCa CoCos, we study the impact of coupon cancellations in the price of the bond and we show that death-spiral effect is reduced.     

主制造商供应商合作协商定价让步博弈研究

本文针对由单一主制造商和单一供应商组成的供应链系统,基于主制造商供应商的战略合作模式和双方的利益追求,制定了主制造商供应商的谈判协商规则,建立了以价格谈判为切入点的战略谈判协商定价模型,并研究了主制造商和供应商分别为第一出标者下的让步均衡,求出了实现双方利益最大化下的最优出标量。最后通过算例分析,验证了本文所构建的主制造商供应商协商谈判模型的可行性,并对比分析了双方合作的纳什博弈结果与让步博弈结果。研究表明主制造商和供应商通过谈判制定让步规则,双方主体分别作为主导者和跟随者,确定各自价格的削减量,相对于低效的纳什均衡时的合作结果,能够实现双方的利益增加。