垄断情形下的配套产品定价策略研究

本文中,我们建立了一个垄断情形下的配套产品的线性定价模型,分析当整个配套产品只由一个垄断厂商生产时,垄断者的最优定价策略.模型的分析结论表明,垄断者最优定价时,对主件定价较高,对配件定价较低,但两者均小于单独出售时的最优垄断定价.     

股票价格遵循几何分式Brown运动的期权定价

讨论了股票价格过程遵循几何分式B row n运动的欧式期权定价.由于该过程存在套利机会使得传统的期权定价方法(如资本资产定价模型(CAPM),套利定价模型(APT),动态均衡定价理论(DEPT))不可能对该期权定价.利用保险精算定价法,在对市场无其它任何假设条件下,获得了欧式期权的定价公式.并讨论了在有效期内股票支付已知红利和红利率的推广公式.     

股价遵循分数跳扩散的混合型双标的两值期权定价

应用风险中性定价原理,研究标的股价服从分数跳扩散过程的混合型双标的两值期权的定价问题,并得出定价公式,并与股价服从标准布朗运动的定价公式做出比较分析.     

基于无套利模型的人民币利率互换定价

基于两种代表性无套利模型——Black-Derman-Toy(BDT)和Hull-White模型,构建考虑单向违约风险的人民币利率互换定价模型。运用这两种定价模型对1年期3MSHIBOR-IRS进行定价,对两种定价模型的定价结果进行敏感性分析。结果表明,两种定价模型表现出定价偏离的一致性,基于BDT模型比基于Hull-White模型的定价结果与报价的差距更小。     

考虑跟随企业搭便车行为的创新企业定价策略研究

文章通过构建博弈模型探讨了存在跟随企业搭便车行为时创新企业的定价策略及定价模式(稳定定价或动态定价),并分析了忠实消费者规模及需求溢出效应等特征对创新企业定价决策与利润的影响.结果表明,无论创新企业采用稳定定价或动态定价模式,跟随企业搭便车行为均会降低创新企业利润,需求溢出效应的增强总能使创新企业和跟随企业均获得更高的利润.动态定价模式下,当需求溢出效应较大时,创新企业会采用渗透定价策略;反之会采用撇脂定价策略.无论垄断或竞争市场情形下,均存在消费者规模阈值效应,即创新企业的利润随着忠实消费者规模的增大而先增大后减小.垄断市场下,动态定价模式能让创新企业获得更高利润;竞争市场下,当跟随企业质量处于较中间水平时,稳定定价模式能让创新企业获得更多优势.     

国外保险定价的发展及其对我国的借鉴

回顾国外保险定价的发展概况，介绍两种重要的金融定价模型资本资产定价模型和期权定价模型及其在保险定价中的应用，并就我国保险业借鉴国外保险定价先进的思想、方法和技术，发展和完善我国保险定价工作提出建议。     

基于收缩回归的可转债上市首日定价分析

可转债是一种复杂的金融衍生工具,其定价受到学界与业界的广泛关注.目前主流的TF98定价模型对我国可转债定价的适用性有一定局限.本文利用收缩回归对我国2019年和2020年上市的两百余只可转债建模并分析,对比了回归模型与TF98定价模型的结果,分析了传统定价模型的局限性,并验证了回归模型的定价有效性.本文回归模型的拟合优度大于0.77,回归模型在测试集上的定价精度和定价稳定性明显优于传统定价模型.     

基于模糊集合论的实物期权定价方法

实物期权的定价在风险投资决策过程中具有重要意义.传统的实物期权定价方法忽略标的资产价值和投资成本的模糊性,从而可能导致错误的投资决策.本文主要研究了具有模糊标的的资产价值和投资成本情形时的实物期权定价模型.文中将这些模糊因素分别视为模糊数和模糊变量,然后运用模糊集合论,结合B-S期权定价理论,对实物期权进行定价,得到了基于模糊集合论的实物期权定价模型.     

认股权证的保险精算定价

引入Mogens Bladt和Tina Hviid Rydberg在无市场假设下关于期权定价的保险精算方法,利用公平保费原则和价格过程的实际概率测度,建立认股权证的定价模型,并给出定价公式.当投资者对原生资产期望回报率为无风险利率时,该定价为风险中性价格.     

随机需求下竞争零售商的定价策略研究

本文研究了随机需求下两竞争零售商的定价策略选择(响应性定价或清仓定价)、产品订货量及响应性价格的联合决策问题。通过将问题转化为一个三阶段的博弈模型,基于Kuhn-Tucker条件求解了两零售商不同定价策略子博弈下的均衡产品订货量及响应性定价决策,分析了不同定价策略子博弈下产品订货量及价格决策的差别以及潜在市场需求不确定(期望和方差变动)对订货量和定价策略的影响。数值分析结果表明,当潜在市场需求服从均匀分布时,响应性定价子博弈是帕累托最优策略,清仓定价子博弈是零售商的均衡策略,混合定价子博弈下两零售商的收益差距较大。     

Instructions for Authors

<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

FRACTIONAL INTEGRALS OF THE WEIERSTRASS FUNCTIONS： THE EXACT BOX DIMENSION

The present paper investigates the fractal structure of fractional integrals of Weierstrass functions. The ezact box dimension for such functions many important cases is established. We need to point out that, although the result itself achieved in the present paper is interesting, the new technique and method should be emphasized. These novel ideas might be useful to establish the box dimension or Hausdorff dimension (especially for the lower bounds) for more general groups of functions.     

English Series

正1 Aims and Scope Acta Mathematicae Applicatae Sinica(English Series)is a quarterly journal established by the Chinese Mathematical Society.The journal publishes high quality research papers from all branches of applied mathematics,particularly welcomes those from partial differential equations,computational mathematics,applied probability,mathematical finance,statistics,dynamical systems,optimization and management science.     

CHINESE ANNALS OF MATHEMATICS SERIES B Volume 35 · 2014 TOTAL CONTENTS

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Congruences,ideals and annihilators in standard QBCC-algebras

We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels. Work on the paper was supported by Council of Czech Government No J14/98:153100011.     

A decomposition of continuity via ideals

A new class of sets in ideal topological spaces is introduced and using these sets, a decomposition of continuity is given.      

When a compact (countably compact) set is closed. II

We obtain (a) necessary and sufficient conditions and (b) sufficient conditions for a compact (countably compact) set to be closed in products (sequential products) and subspaces (sequential subspaces) of normal spaces. As a consequence of these, sufficient conditions are obtained for (i) the closedness of arbitrary (countable) union of closed sets and (ii) the equality of the union of the closures and the closure of the union of arbitrary (countable) families of sets in these spaces. It is also shown that these results do not hold for quotients of even T ₄,-spaces.     

ASYMPTOTIC BEHAVIOR OF ECKHOFF＇S METHOD FOR FOURIER SERIES CONVERGENCE ACCELERATION

The current paper considers the problem of recovering a function using a limited number of its Fourier coefficients. Specifically, a method based on Bernoulli-like polynomials suggested and developed by Krylov, Lanczos, Gottlieb and Eckhoff is examined. Asymptotic behavior of approximate calculation of the so-called ＂jumps＂ is studied and asymptotic L2 constants of the rate of convergence of the method are computed.