A General Fractional White Noise Theory And Applications To Finance

We present a new framework for fractional Brownian motion in which processes with all indices can be considered under the same probability measure. Our results extend recent contributions by Hu, Øksendal, Duncan, Pasik-Duncan, and others. As an application we develop option pricing in a fractional Black-Scholes market with a noise process driven by a sum of fractional Brownian motions with various Hurst indices.     

对共同基金定理的重新认识——完整市场研究

本文提出了对连续时间共同基金定理的重新认识,这一新认识的提出摆脱了以往研究中对投资者消费和最终财富效用函数的假设。不过,这些效用函数都是可时间累加的、非减的函数。这样的理论延伸要归功于特别的数学方法,不过这种数学方法也不外乎应用离散过程和线性代数的简单属性。本文的研究结果适用于完整市场。     

AN AXIOMATIC APPROACH TO CAPITAL ALLOCATION

Capital allocation techniques are of central importance in portfolio management and risk-based performance measurement. In this paper we propose an axiom system for capital allocation and analyze its satisfiability and completeness: it is shown that for a given risk measure ρ there exists a capital allocation  Λ_ρ  that satisfies the main axioms if and only if ρ is subadditive and positively homogeneous. Furthermore, it is proved that the axiom system uniquely specifies  Λ_ρ  . We apply the axiomatization to the most popular risk measures in the finance industry in order to derive explicit capital allocation formulae for these measures.     

股权分置改革：一个基于法与经济学视角的分析

本文从法与经济学的角度将股权分置改革视为一个法律权利的界定和配置过程,它包括两个基本的环节:政府界定初始法律权利(非流通股的流通权)和初始法律权利通过谈判重新配置;然后分析初始法律权利界定的短期成本和长期效应,以及流通股股东的“搭便车”行为、谈判地位的非对称性等对交易成本的影响。     

GENERALIZED SUPERMARTINGALE DEFLATORS UNDER LIMITED INFORMATION

We undertake a study of markets from the perspective of a financial agent with limited access to information. The set of wealth processes available to the agent is structured with reasonable economic properties, instead of the usual practice of taking it to consist of stochastic integrals against a semimartingale integrator. We obtain the equivalence of the boundedness in probability of the set of terminal wealth outcomes (which in turn is equivalent to the weak market viability condition of absence of arbitrage of the first kind) with the existence of at least one strictly positive deflator that makes the deflated wealth processes have a generalized supermartingale property.     

Kernel Conditional Quantile Estimation for Stationary Processes with Application to Conditional Value-at-Risk

The paper considers kernel estimation of conditional quantilesfor both short-range and long-range-dependent processes. Undermild regularity conditions, we obtain Bahadur representationsand central limit theorems for kernel quantile estimates ofthose processes. Our theory is applicable to many price processesof assets in finance. In particular, we present an asymptotictheory for kernel estimates of the value-at-risk (VaR) of themarket value of an asset conditional on the historical informationor a state process. The results are assessed based on a smallsimulation and are applied to AT&T monthly returns.     

Endogenous transfers in the Prisoner's Dilemma game: An experimental test of cooperation and coordination

We test a two-stage compensation mechanism for promoting cooperation in Prisoner's Dilemma games. Players first simultaneously choose binding non-negative amounts to pay their counterparts for cooperating, and then play the induced game knowing these amounts. In our games, all payment pairs consistent with mutual cooperation in subgame-perfect equilibrium transform these games into coordination games, with both mutual cooperation and mutual defection as Nash equilibria in the second stage. When endogenous transfer payments are not permitted, cooperation is much less likely. Mutual cooperation is most likely when the (sufficient) payments are identical, and it is also substantially more likely with payment pairs that bring the mutual-cooperation payoffs closer together. Both the Fehr–Schmidt and Charness–Rabin models predict that transfers that make final payoffs closer are preferred; however, they do not explain why equal transfers are particularly effective. Transfers are also effective in sustaining cooperation even when they are imposed and not chosen.     

Sampling inspection by variables: nonparametric setting

A classic statistical problem is the optimal construction of sampling plans to accept or reject a lot based on a small sample. We propose a new asymptotically optimal solution for acceptance sampling by variables setting where we allow for an arbitrary unknown underlying distribution. In the course of this, we assume that additional sampling information is available, which is often the case in real applications. That information is given by additional measurements which may be affected by a calibration error. Our results show that, first, the proposed decision rule is asymptotically valid under fairly general assumptions. Secondly, the estimated optimal sample size is asymptotically normal. Furthermore, we illustrate our method by a real data analysis and investigate to some extent its finite-sample properties and the sharpness of our assumptions by simulations.     

Preference aggregation under uncertainty: Savage vs. Pareto

Following Mongin [J. Econ. Theory 66 (1995) 313; J. Math. Econ. 29 (1998) 331], we study social aggregation of subjective expected utility preferences in a Savage framework. We argue that each of Savage's P3 and P4 are incompatible with the strong Pareto property. A representation theorem for social preferences satisfying Pareto indifference and conforming to the state-dependent expected utility model is provided.