广义δ规避策略下的两值期权定价研究

在离散时间场合和不存在交易成本假设下,提出了期权定价的平均自融资极小方差规避策略,得到了含有残差风险的两值看涨期权价格满足的偏微分方程和相应的两值期权定价公式。通过用数值分析来比较新的期权定价模型与经典的期权定价模型,发现投资者的风险偏好和标度对期权定价有重要影响。由此说明,考虑残差风险对两值期权定价研究具有重要的理论和实际意义。     

广义δ规避策略下的两值期权定价研究

在离散时间场合和不存在交易成本假设下,提出了期权定价的平均自融资极小方差规避策略,得到了含有残差风险的两值看涨期权价格满足的偏微分方程和相应的两值期权定价公式。通过用数值分析来比较新的期权定价模型与经典的期权定价模型,发现投资者的风险偏好和标度对期权定价有重要影响。由此说明,考虑残差风险对两值期权定价研究具有重要的理论和实际意义。     

资本资产定价研究:基于损失厌恶、追赶时髦和习惯形成的新进展

为了推进资产定价理论的研究以及更好的解释重要的市场异象,本文通过在效用函数中引入投资者的异质假定,构造了一个投资者偏好由习惯形成,追赶时髦以及损失厌恶共同决定的效用函数,并在这个更加真实的效用函数的基础上建立了一个能够更好的解释市场异象的新的消费基础资本资产定价模型.另外,文章运用欧拉方程推出了模型的资产收益定价方程.通过定价方程,我们可以期望更好的同时解释溢价之谜,无风险利率之谜等重要的市场异象.这证明了引入合理的行为偏好才是解决股票溢价等问题的关键.     

关于有信用风险的期权定价的鞅方法

本文考虑了一个关于具有对方风险的衍生物的金融模型\bd 应用公司价值模型, 本文讨论了关于具有对方破产风险的衍生物的欧式期权定价问题\bd 应用鞅方法, 在高斯分布等的假设下本文得到并证明一个关于该期权的显式Black-Scholes定价公式\bd 该公式推广了Ammann在[1]中的相应结果.     

在消费者偏好不确定下双寡头定位定价博弈

本文通过建立在企业对消费者偏好信息不确定情形下,双寡头企业动态定位、定价博弈模型,研究企业的定位策略、定价策略以及产品差异化问题。证明了该动态博弈存在唯一的子博弈精炼均衡。均衡结果表明,偏好不确定性是一种差异化力量,与消费者偏好信息确定情形相比,企业的不确定性能够提高均衡价格、增加均衡利润。最后,分析了偏好不确定性对社会最优定位和社会最优差异化的影响。     

考虑跨渠道退货的双渠道零售商定价与退货策略研究

本文以零售商线上线下销售和消费者退货并存的销售模式为背景，以零售商利润最大化为目标，构建线上线下统一定价和自主定价的双渠道和跨渠道退货两种不同的定价决策模型，分析了顾客渠道偏好和退货麻烦成本对零售商定价和退货策略选择与利润的影响。研究发现：给定退货麻烦成本，当顾客渠道偏好明显时，零售商应采取自主定价策略，否则应采取统一定价策略。顾客偏好线上渠道时，应该采取跨渠道退货政策；顾客偏好线下渠道时，应采取双渠道退货政策。零售商应根据顾客渠道偏好和退货麻烦成本选择合理的定价策略和退货策略，保证其利润最大化。本文研究对于采用线上线下渠道销售并允许退货的零售商设置最合理的退货方式和最优定价策略有一定的实际应用价值。     

有交易成本的回望期权定价研究

基于标的资产价格的几何布朗运动假设，Black—Seholes模型运用连续交易保值策略成功解决了完全市场下的欧式期权定价问题。然而，在实际的金融市场中，存在着数量可观的交易成本。本文主要研究了在不完全市场下有交易成本的回望期权的定价问题，并且利用Ito公式，得到了在该模型下期权价格所满足的微分方程。     

考虑残值变化和消费者低碳偏好的生产定价与销售激励机制

在消费者低碳偏好和产品残值变化下,研究制造商的碳减排、生产及定价联合决策、以及对销售商的销售激励契约设计问题。不同于以往的研究假设残值不变,本文考虑残值依赖于清仓期库存以及碳减排问题。提出委托代理模型,求解模型并从理论上分析残值的变化和碳减排成本对双方决策和收益的影响。研究表明,残值变化率的增加只导致制造商的收益和生产量下降,不影响制造商的碳减排、定价、销售契约及零售商的决策和收益,但碳减排成本将导致制造商的收益和双方决策变量的下降。最后通过算例分析验证了结论,对供应链的运营实践有指导意义。     

考虑广告投放的不对称竞争企业定价策略研究

针对非对称双寡头竞争企业中广告投放以及定价策略等问题,本文首先依据市场细分构建了统一定价和差异化定价模型;其次,以定价模型为基础,针对转化者市场是否存在偏好,构建了不同情境下的效益模型,并利用博弈论确定不同阶段的均衡结果,通过对均衡结果的分析,得出广告成本以及竞争市场的差异化程度对均衡结果的影响,最后利用数值分析验证结果的有效性。     

考虑专利保护和渠道偏好的再制造双渠道闭环供应链决策与协调

本文在电子商务环境下考虑消费者对零售渠道和直销渠道具有不同的渠道偏好,研究了专利许可零售商实施再制造的双渠道闭环供应链定价决策和协调问题。运用博弈论方法求得了集中决策和分散决策情形下的最优定价策略,并分析了消费者渠道偏好系数对节点企业最优定价策略及利润的影响。针对分散决策存在效率损失的问题,以集中决策的最优解为基准,通过联合运用一个由批发价格、直销价格和专利许可费构成的定价机制和一个利润分享机制,实现了双渠道闭环供应链的完美协调。     

新股网上申购投资的随机模拟分析

为研究现行制度下新股网上申购投资收益,通过对全流通前后IPOs数据的统计分析,选取2006年6月～2007年12月数据段为研究对象.研究银行间市场回购融资、交易所市场回购融资、现金三种不同资金来源用于新股网上申购的情形,分析不同资金规模的收益回报情况.研究中用分层抽样技术,对新股上市首日售出价和申购日市场回购利率构造三角概率分布,进行随机模拟,得出单个投资者比较合理的新股申购资金规模及收益.结果对于合理设计以新股申购为主要投资对象的理财产品、设定新股申购资金规模、以及对新股申购成本与收益回报的定位等都有重要参考意义.     

碳转移与消费者低碳偏好双重影响下供应链异质性产品定价与协调研究

准确提炼碳转移和消费者低碳偏好对供应链异质性产品定价影响机理,不但有助于优化供应链企业间碳排放转移行为,而且也有助于协调供应链主体的定价行为。本文通过构建供应商主导的Stackelberg博弈模型,并将供应链企业间碳排放转移和消费者低偏好纳入到该模型中,分别在分散和集中情景下分析了碳转移和消费者低碳偏好对供应链异质性产品销售价和批发价的影响;针对分散情景下供应链整体利润损失,采用Shapley值协调供应链。研究表明：供应链企业间碳排放转移会正向影响普通产品批发价,但针对低碳产品而言,批发价会先短暂下降后上升;供应链企业间碳排放转移的存在会使得供应链产品销售价先下降后上升,其中普通产品销售价变化幅度更大;消费者低碳偏好对供应链产品定价的影响与碳转移量有关,其中低碳产品定价对消费者低碳偏好的敏感度高于普通产品;碳转移量和消费者低碳偏好达到一定值时,低碳产品会对普通产品产生市场挤兑效应。     

基于预售的生鲜供应链销售模式选择与定价研究

研究预售下由供应商与零售商构成的生鲜供应链的销售模式选择与定价策略,其中包括分散与集中两种销售模式,撇脂与渗透两种定价策略。结果表明,在网络消费者对实体渠道偏好较低时,分散与集中模式均会选择撇脂定价,反之选择渗透定价。撇脂定价下,集中模式中零售商可以通过调节两个渠道的价格占有更大的市场,获取高于分散模式下的利润。而分散模式中,由于两个零售商会存在竞争,因此为了获得竞争优势该模式下的定价会存在低价销售的情形。比较销售模式可知,在网络消费者占比少或占比多但对实体渠道偏好越小时,供应商在分散模式下能获得更高的利润,反之,集中模式对供应商更有利。但是,对零售商而言,分散模式更有利于实体渠道,而集中模式更有利于网络渠道。     

Esscher transforms and consumption-based models

The Esscher transform is an important tool in actuarial science. Since the pioneering work of Gerber and Shiu (1994), the use of the Esscher transform for option valuation has also been investigated extensively. However, the relationships between the asset pricing model based on the Esscher transform and some fundamental equilibrium-based asset pricing models, such as consumption-based models, have so far not been well-explored. In this paper, we attempt to bridge the gap between consumption-based models and asset pricing models based on Esscher-type transformations in a discrete-time setting. Based on certain assumptions for the distributions of asset returns, changes in aggregate consumptions and returns on the market portfolio, we construct pricing measures that are consistent with those arising from Esscher-type transformations. Explicit relationships between the market price of risk, and the risk preference parameters are derived for some particular cases.     

Money,prices and interest rates in a non-aggregate stochastic general equilibrium model

This paper explores the relationships between money, prices, uncertainty and interest rates in a stochastic general equilibrium model. Taking a non-aggregate pure exchange economy with time and uncertainty as the starting point, money is introduced as a means to keep track of past transactions of goods and insurance services and as an instrument to settle debts. As a result, in this stochastic general equilibrium model the desire to hold money arises from the demand of goods and services, Arrow-Debreu securities, and assets. Since these sources of demand for money are strongly related to the economy output, the economy degree of uncertainty, and the interest rates, this paper provides not only an alternative framework to the traditional keynesian analysis of the liquidity preference, but also an extension of the cash-in-advance models for introducing money in a general equilibrium model.     

Markdown money contracts for perishable goods with clearance pricing

It is common in practice that retailers liquidate unsold perishable goods via clearance pricing. Markdown money is frequently used between manufacturers and retailers in such a supply chain setting. It is a form of rebate from a manufacturer to subsidize a retailer’s clearance pricing after the regular season. Two forms of markdown money are percent markdown money, in which the markdown money is limited to only a certain percentage of the retail price markdown, and quantity markdown money, which is essentially a buyback contract or returns policy with a rebate credit paid to the retailer for each unsold unit after the regular season. We show both forms of markdown money contracts can coordinate the supply chain and we discuss their strengths and limitations.     

Unifying pricing formula for several stochastic volatility models with jumps

In this paper, we introduce a unifying approach to option pricing under continuous‐time stochastic volatility models with jumps. For European style options, a new semi‐closed pricing formula is derived using the generalized complex Fourier transform of the corresponding partial integro‐differential equation. This approach is successfully applied to models with different volatility diffusion and jump processes. We also discuss how to price options with different payoff functions in a similar way. In particular, we focus on a log‐normal and a log‐uniform jump diffusion stochastic volatility model, originally introduced by Bates and Yan and Hanson, respectively. The comparison of existing and newly proposed option pricing formulas with respect to time efficiency and precision is discussed. We also derive a representation of an option price under a new approximative fractional jump diffusion model that differs from the aforementioned models, especially for the out‐of‐the money contracts. Copyright © 2017 John Wiley & Sons, Ltd.     

指数O-U过程下保证险的保险精算定价

引入期权定价理论,利用保险精算方法,得到了全额担保和部分担保两类保证险的保险精算定价公式,其中未偿付额为常数,房产价格服从指数O-U过程.     

A BLACK－SCHOLES FORMULA FOR OPTIONPRICINGWITHDIVIDENDS

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A BLACK-SCHOLES FORMULA FOR OPTION PRICING WITH DIVIDENDS

Abstract. We obtain a Black-Scholes formula for the arbitrage-free pricing of Eu-ropean Call options with constant coefficients when the underlylng stock generatesdividends. To hedge the Call option, we will always borrow money from bank. We seethe influence of the dividend term on the option pricing via the comparison theoremof BSDE(backward stochastic di~erential equation [5], [7]). We also consider the option pricing problem in terms of the borrowing rate R whichis not equal to the interest rate r. The corresponding Black-Sdxoles formula is given.We notice that it is in fact the borrowing rate that plays the role in the pricing formula.