上海股票市场收益的随机波浪模型

对金融资产收益分布状况的主要研究方法是先提出分布模型,然后进行实验验证;因缺乏必要的机理分析和研究手段单一,使其理论研究和应用研究都受到一定的制约.为克服这些不足,将金融资产收益联系起来看,根据其涨跌周期性构建出随机波浪模型,并利用模型导出随机波浪波高和周期的分布公式.通过实证分析,证明随机波浪模型具有一定的适用性;所用的时频分析方法以及所得结论有益于对金融资产收益分布状况进行更深入的理论和应用研究,也有益于指导市场参与者进行短期和长期交易.     

摩擦市场的最优消费-投资组合选择

本文研究摩擦市场中的最优消费-投资组合选择问题.当金融资产和自然状态个数为有限个以及摩擦局限于成比例的交易费时,可用原始市场或适当转换了的市场的无套利性来刻画最优消费-投资组合策略的存在性或充要条件.     

关于大经济金融市场

在Aumann大经济框架下，本文给出具有可测空间经纪人的大金融市场模型；讨论了资产结构完全时均衡的存在性；给出了以经纪人代表效用表出形式的金融资产定价公式，它推广[3]中相关内容。模型更贴近于具有对称信息充分竞争的涵义．     

次分数布朗运动下可分离交易可转债的定价及其风险参数

科学合理的定价是可分离交易可转债交易的基础.考虑到金融资产价格序列的长记忆性,应用次分数布朗运动的It?公式和无风险套利原理,建立标的资产支付连续红利且资产价格遵循几何次分数布朗运动的可分离交易可转债定价模型.并利用Mellin变换求解得到定价模型的解析解.最后,分析几个风险参数对可分离交易可转债价值的影响,并通过数值...     

时变混合分数布朗运动下带交易费用的亚式期权定价

考虑到经典的Black-Scholes(B-S)期权定价模型不能描述金融资产价格常值周期性、长相依性等特征,因此采用时变混合分数布朗运动描述金融资产价格的变动,并且对亚式期权定价时也考虑了交易费用.运用自融资Delta对冲策略得出了在离散情形下几何平均亚式看涨期权价格所满足的偏微分方程以及几何平均亚式看涨、看跌期权的定...     

美式看跌期权定价问题的修正C-N格式求解

1 引言 期权是最重要的金融衍生工具之一,是一种客观的选择权,它赋予其购买者一种在规定期限内按交易双方约定的价格(敲定价)购买或出售一定数量的某种金融资产的权利.     

MGARCH模型对金融时间序列刻画能力的研究

金融资产收益率具有两个明显的特征,即尖峰厚尾性和平方序列的自相关性。本文首先研究了MGARcH(κ;1,1)模型的矩特性,然后分析MGARCH模型对这两个特性的刻画能力,并将它与GARCH(1,1)进行了比较,从理论上证明了MAGRCH较之GARCH模型有较强的刻画能力。最后利用上证综合指数的收盘价数据进行了实证分析。     

具有无穷维商品空间和不完全金融市场经济的一般均衡存在性(英文）

本文研究具有无穷维商品空间和不完全金融市场两时期经济的一般均衡存在性问题．假设交易发生在证券以币值单位支付的一系列现货市场和期货市场上，并且对证券的卖空没有任何限制．推广的Stiemke引理是情形的基本估值定理，意即证券价格在时间0的现值是时间1状态集合Ω上收益的价值．一般均衡是一列现货价格和期货价格与一列个体计划，使得市场出清．我们证明一般均衡的存在性，条件是经济人具有Mackey连续、弱凸、严格单调和完全的偏好关系与严格正的初始占有．     

不完全金融市场货币平衡存在性(英)

本文研究不完全金融市场中具有货币政策的货币经济一般平衡存在性．我们只考虑纯金融市场，允许卖空，金融市场是不完全的；一些商品流不可能由交易策略得到．具有连续、弱凸性、严格单调和完全偏好，严格正初始占有和红利过程的经济则存在货币平衡．     

金融资产收益分布的混合高斯分析

本文研究了金融资产收益的混合高斯分布模型 ,给出了混合高斯分布的 Kolmogorov-Smirnov检验的方法 ,分析了金融资产收益的非高斯性及市场价格运动的有效性 .此外 ,用成分数目 K*、拟合误差 DK*n和主成分系数 p*k 描述金融资产收益的性质 ,对外汇银行同业拆借市场和中国股票市场实证分析     

On the equivalence of financial structures with long-term assets

In a stochastic financial exchange economy, two financial structures are equivalent if, for each given state price, the marketable payoffs are identical for the associated asset prices. The key property of two equivalent financial structures is that, when associated with any standard exchange economy, they lead to the same financial equilibrium. We exhibit a sufficient condition for the equivalence of two financial structures without re-trading with possibly long-term assets. We then apply this result to financial structures built upon primitive assets and their re-trading. We also borrow an assumption from Bonnisseau and Chéry (Ann Financ 10:523–552, 2014) to prove the equivalence between a financial structure and its reduced forms.     

A characterization of equilibrium strategies in continuous-time mean–variance problems for insurers

In this work, we study the equilibrium reinsurance/new business and investment strategy for mean–variance insurers with constant risk aversion. The insurers are allowed to purchase proportional reinsurance, acquire new business and invest in a financial market, where the surplus of the insurers is assumed to follow a jump–diffusion model and the financial market consists of one riskless asset and a multiple risky assets whose price processes are driven by Poisson random measures and independent Brownian motions. By using a version of the stochastic maximum principle approach, we characterize the open loop equilibrium strategies via a stochastic system which consists of a flow of forward–backward stochastic differential equations (FBSDEs in short) and an equilibrium condition. Then by decoupling the flow of FSBDEs, an explicit representation of an equilibrium solution is derived as well as its corresponding objective function value.     

基于鞅测度的流动性风险溢价的测算

研究了在一般市场条件下流动性风险的定价问题.首先借助金融数学和金融工程的无套利思想在鞅测度下对市场风险和流动性风险进行定价,通过等价测度变换,使可交易资产的贴现价值过程转化为鞅过程,得到了市场风险和流动性风险的市场价格,进而给出了流动性风险溢价的计算公式.得到的风险的市场价格在同一市场中对于所有可交易资产都是相同的,并且这一价格对于所有投资者也都是相同的,不会因投资者的风险厌恶水平的不同而不同.     

Optimal dynamic asset allocation of pension fund in mortality and salary risks framework

In this paper, we consider the optimal dynamic asset allocation of pension fund with mortality risk and salary risk. The managers of the pension fund try to find the optimal investment policy (optimal asset allocation) to maximize the expected utility of terminal wealth. The market is a combination of financial market and insurance market. The financial market consists of three assets: cashes with stochastic interest rate, stocks and rolling bonds, while the insurance market consists of mortality risk and salary risk. These two non-hedging risks cause incompleteness of the market. By martingale method and dynamic programming principle we first derive the approximate optimal investment policy to overcome the difficulty, then investigate the efficiency of the approximation. Finally, we solve an optimal assets liabilities management(ALM) problem with mortality risk and salary risk under CRRA utility, and reveal the influence of these two risks on the optimal investment policy by numerical illustration.     

金融化对企业出口产品复杂度影响研究

本文使用中国A股上市制造业企业,结合海关数据库与CEPII的BACI进出口数据,基于B-样条展开的非参数分位数模型探究金融化对出口技术复杂度的非线性异质影响,发现:(1)金融化对出口复杂度存在非线性影响,在企业配置金融资产初期,金融资产对复杂度主要表现为挤出效应,随着金融资产增加逐渐呈现促进效应。(2)金融化对出口复杂度存在异质影响,低分位点企业随金融化程度不断提高呈现U形特征,而高分位点则表现为倒N形挤出特征。(3)金融化对国企出口复杂度的抑制效应要强于总体水平,对非国企的促进效应则强于总体水平;金融化程度较低时,对高技术企业影响呈现出较强抑制作用。对非高技术行业,在追赶效应影响下更多发挥“蓄水池”作用。研究结论为通过选择合理的金融化水平,达到提升企业出口复杂度目标提供决策依据。     

随机通胀风险下基于半鞅理论的最优投资策略

本文在半鞅理论框架下,构建包括可交易风险资产、不可交易风险资产和未定权益的金融投资模型。在考虑随机通胀风险和获取部分市场信息的情形下,研究投资经理人终端真实净财富指数效用最大化问题。运用滤波理论、半鞅和倒向随机微分方程(BSDE)理论,求解带有随机通胀风险的最优投资策略和价值过程精确解。数值分析结果发现,可交易风险资产最优投资额随着预期通胀率的增加而减少,投资价值呈先增后减态势。当通胀波动率无限接近可交易风险资产名义价格波动率时,通胀风险可完全对冲,投资人会不断追加在可交易风险资产的投资额,以期实现终端真实净财富期望指数效用最大化。研究结果为金融市场的投资决策提供更加科学的理论参考。     

Explicit characterization of the super-replication strategy in financial markets with partial transaction costs

We consider a continuous time multivariate financial market with proportional transaction costs and study the problem of finding the minimal initial capital needed to hedge, without risk, European-type contingent claims. The model is similar to the one considered in Bouchard and Touzi [B. Bouchard, N. Touzi, Explicit solution of the multivariate super-replication problem under transaction costs, The Annals of Applied Probability 10 (3) (2000) 685–708] except that some of the assets can be exchanged freely, i.e. without paying transaction costs. In this context, we generalize the result of the above paper and prove that the super-replication price is given by the cost of the cheapest hedging strategy in which the number of non-freely exchangeable assets is kept constant over time. Our proof relies on the introduction of a new auxiliary control problem whose value function can be interpreted as the super-hedging price in a model with unbounded stochastic volatility (in the directions where transaction costs are non-zero). In particular, it confirms the usual intuition that transaction costs play a similar role to stochastic volatility.     

Portfolio adjusting optimization with added assets and transaction costs based on credibility measures

In response to changeful financial markets and investor’s capital, we discuss a portfolio adjusting problem with additional risk assets and a riskless asset based on credibility theory. We propose two credibilistic mean–variance portfolio adjusting models with general fuzzy returns, which take lending, borrowing, transaction cost, additional risk assets and capital into consideration in portfolio adjusting process. We present crisp forms of the models when the returns of risk assets are some deterministic fuzzy variables such as trapezoidal, triangular and interval types. We also employ a quadratic programming solution algorithm for obtaining optimal adjusting strategy. The comparisons of numeral results from different models illustrate the efficiency of the proposed models and the algorithm.     

基于双风险因子调整的剩余收益经营与投资最优决策模型

一般来说,公司净资产基于投向可以分为净经营性资产和净金融性资产。这两种净资产所面临的风险属性是不同的,净经营性资产承担的是经营性风险,而净金融性资产承担的则是金融性风险。作为公司多元化经营的决策者,在公司净资产一定的情况下,如何合理分配经营性投资与金融性投资间的比例并作出最优的投资决策,以达到公司价值最大化？本文基于一般形式的三阶段剩余收益模型,根据净经营性资产具有经营风险,净金融性资产则具有金融风险的风险识别与判断,从理论上构建出双风险因子调整的剩余收益经营与投资决策模型(Operation and Investment Decision Model of Dual-risks RIM, OIDM-DRRIM)。同时,利用中国资本市场1997年到2014年的经验数据进行实证检验,研究结果表明,所构建的OIDM-DRRIM具有非常好的适用性,公司经营决策者可以根据该模型计算出净经营性资产和净金融性资产之间的最优分配比例,进而作出使公司价值最大化的经营与投资决策。