本文用无套利方法分析有摩擦金融市场中利率的期限结构。对存在有限个债券和离散有限个到期日以及存在成比例的交易费、买卖差价、税赋这三种摩擦的金融市场。引入了相容期限结构的概念，给出了相容期限结构和套利机会的存在性结果或充要条件及它们的识别与计算方法。

We are interested in computation of locating arbitrage in-nancial markets with frictions. We consider a model with a nitenumber of nancial assets and a nitenumber of possible states of nature. We derive a negative result on computational complexity of arbitrage in the case when securities are traded in integer numbers of shares and with a maximum amount of shares that can be bought for a xed price (asin reality). When these conditions are relaxed, we show that polynomial time algorithms can be obtained by applying linear programming tech-niques. We also establish the equivalence for no-arbitrage condition & optimal consumption portfolio.

In this paper we study the optimal portfolio selection problem for assets. A doubleobjective programming model is Wrst formulated for selecting optimal portfolios of asserts with transaction costs and taxes, where short sales and borrowings are not allowed. Some properties of eYcient portfolios and the eYcient frontier to the model are then derived. Based on these results, an interactive method that requires only paired preference comparison from the investor is established for solving the optimal portfolio selection problem. A numerical example is also presented to illustrate this method.

We are interested in computation of arbitrage condition in financial market with friction. We consider a deterministic model with a finite number of financial assets and a finite number of possible states of nature. The future return of of each asset under each possible state of nature is given in the model. We derive a negative result on computational complexity of arbitrage in the case when assets are traded in integer numbers of shares and with a maximum amount of shares that can be bought for a fixed price.

A new minimax model on optimal portfolio selection with uncertainty of both randomness and estimation in inputs is established and the corresponding optimal portfolio is derived analytically. Based on this result, a sufficient condition for the existence and uniqueness of a nonnegative equilibrium price system under which the total demand and supply of each asset are equal is provided and an explicit formula for such a price system is obtained. Furthermore, some properties of the equilibrium are discussed.

In this paper we consider a financial market model with frictions which include transaction costs, bid-ask spread and taxes. By using optimization, linear and nonlinear programming and convex programming techniques, several necessary and sufficient conditions are derived for the weak no-arbitrage. Some results on state prices are also provided. The results of this paper can provide at least some theoretical insight to the problem.

We study the optimal portfolio selection problem with transaction costs. In general, the ecient frontier can be determined by solving a parametric non-quadratic programming problem. In a general setting, the transaction cost is a V-shaped function of dierence between the existing and the new portfolio. We show how to transform this problem into a quadratic programming model. Hence a linear programming algorithm is applicable by establishing a linear approximation on the utility function of return and variance.

In this paper we study the computational problem of arbitrage in a frictional market with a finite number of bonds and finite and discrete times to maturity. Types of frictions under consideration include fixed and proportional transaction costs, bid-ask spreads, taxes, and upper bounds on the number of units for transaction. We obtain some negative result on computational diculty in general for arbitrage under those frictions: It is NP-complete to identify whether there exists a cash-and-carry arbitrage transaction and it is NP-hard to find an optimal cash-and-carry arbitrage transaction.

通过对沪深两市股指之间在一阶矩和二阶矩上的因果关系的检验，本文对两市之间的关系做了系统的分析。协整分析的结果表明。在后两个子样本区中两市股指之间存在双向的因果关系，并且沪市股指的变化起到了主导作用，这种关系在第三个子样本中进一步增强。GARCH（1，1）模型的结果表明沪深两市当期绝对扰动对另一个市场存在显著的“溢出效应”，但深市上的前期绝对扰动没有表现出对沪市的当期波动有显著影响。此外本文还使用了DCC—MVGARCH模型对两市的条件相关系数进行动态可视化。

本文引入在险收益（Eamings-at-Risk，EaR）的风险概念，并考虑连续时间Markowitz均值一方差型证券投资组合选择问题，其中度量风险的方差被替代为终端财富的在险收益。在Black-Scholes设置下，我们给出了均值一在险收益意义下的最优常数再调整（best constant-rebalanced）证券组合投资策略以及有效边界的显式表达式。这一结果可方便地应用于动态投资决策与管理的实践中。我们还给出概念与结论的一些经济学解释。