实物期权的三叉树定价模型

The numerical computation of real option value is very important in the evaluating of venture investment.We develops a trinomial tree pricing model of the real option,proves that the equation of real option value under trinomial tree model is approximate to Black-Scholes equation.It is obvious that trinomial model is excelled than binomial tree model in precision and calculation from an example.

两因素HJM模型下奇异债券期货期权的定价

在HJM模型下考虑远期利率由两个独立的布朗运动驱动,利用鞅方法得到了三种奇异的债券期货期权—上限型期货期权,抵付型期货期权与后定选择期货期权的定价公式。

Pricing Catastrophe Options with Credit Risk in a Regime-Switching Model

In this paper,we consider the price of catastrophe options with credit risk in a regime-switching model.We assume that the macroeconomic states are described by a continuous-time Markov chain with a finite state space.By using the measure change technique,we derive the price expressions of catastrophe put options.Moreover,we conduct some numerical analysis to demonstrate how the parameters of the model affect the price of the catastrophe put option.

同伦摄动稀疏正则化方法及其应用

稀疏正则化方法在参数重构中起到了越来越重要的作用.与传统的正则化方法相比,稀疏正则化方法能较好地重构稀疏变量.由于稀疏正则化的不可微性,需要对已有的经典算法进行改进.本文构建同伦摄动稀疏正则化方法克服标准稀疏正则化的不可微性,并将该方法应用到基于布莱克一斯科尔斯期权定价模型重构隐含波动率和基于托达罗模型重构政策参数.数值实验表明,所提出的方法是收敛和稳定的.

公允价值计量问题研究

本文结合FASB、IASB、ASB、CICA等权威会计准则委员会给公允价值下的定义,分析了公允价值的含义,阐明了公允价值的计量属性,认为应用期权定价模型计量公允价值较为合适。

权证的杠杆效应研究——基于双对数模型的实证检验分析

利用Black—Scholes期权定价格公式从理论上分析权证的杠杆效应,然后运用双对数模型对我国市场中权证的杠杆效应进行实证性检验分析,得出结论:我国市场中的交易权证的杠杆效应与理论分析基本相符,但是某些权证存在被恶性操纵的情况,这些权证在后市中可能存在较大的风险。

Financial Rogue Waves

We analytically give the financial rogue waves in the nonlinear option pricing model due to Ivancevic,which is nonlinear wave alternative of the Black-Scholes model.These rogue wave solutions may be used to describe thepossible physical mechanisms for rogue wave phenomenon in financial markets and related fields.

PRICES OF ASIAN OPTIONS UNDER STOCHASTIC INTEREST RATES

Asian options are the popular second generation derivative products and embedded in many structured notes to enhance upside performance.The embedded options,as a result,usually have a long duration.The movement of interest rates becomes more important in pricing such long-dated options.In this paper,the pricing of Asian options under stochastic interest rates is studied.Assuming Hull and White model for the interest rates,a closed-form formula for geometric-average options is derived.As a by-product,pricing formula is also given for plan-vanilla options under stochastic interest rates.

Symmetry Breaking for Black-Scholes Equations

Black-Scholes equation is used to model stock option pricing. In this paper, optimal systems with one to four parameters of Lie point symmetries for Black-Scholes equation and its extension are obtained. Their symmetry breaking interaction associated with the optimal systems is also studied. As a. result, symmetry reductions and corresponding solutions for the resulting equations are obtained.

Pricing of discrete barrier options based on an analytical method

The problem o f analytically pricing the discrete monitored European barrier options is studied under the assumption of the Black-Scholes market.First,using variable transformation,the mean vector and covariance matrix of multi-dimensional marginal distribution are given.Secondly,the analytica pricing formulas of the discrete monitored upknock-out European call option and the discrete monitored down-knock-out European put option a e obtained by using the conditional probability and the characteristics o f the multidimensional normal distribution.Finally,the effects of the discrete monitoring barriers on the prices of the barrier optionsare discussed and analyzed.The research results state that the price o f the discrete monitored up-knock-out European call option mcreases with the increase in the up barrier,a d the price o f the discrete monitored down-knock-out European put option decreases with the increase in the down barrier.

Pricing models of foreign bond futures options under Heath-Jarrow-Morton framework

Under the Heath-Jarrow-Morton （HJM） framework, this paper studies the pricing models of three European foreign zero-coupon bond futures options （i.e., European options written on foreign zero-coupon bond futures）, and gives closed-form expression for the arbitrage price of the options by applying the forward martingale measure. These three options are： （1） foreign bond futures options struck in foreign currency; （2） foreign bond futures options struck in domestic currency; （3） fixed exchange rate fnreign bond futures option.

Nonparametric estimation of employee stock options

We proposed a new model to price employee stock options （ESOs）. The model is based on nonparametric statistical methods with market data. It incorporates the kernel estimator and employs a three-step method to modify Black- Scholes formula. The model overcomes the limits of Black-Scholes formula in handling option prices with varied volatility. It disposes the effects of ESOs self-characteristics such as non-tradability, the longer term for expiration, the eady exercise feature, the restriction on shorting selling and the employee＇s risk aversion on risk neutral pricing condition, and can be applied to ESOs valuation with the explanatory variable in no matter the certainty case or random case.

Early exercise European option and early termination American option pricing models

The maximum relative error between continuous-time American option pricing model and binomial tree model is very small. In order to improve the European and American options in trade course, the thesis tried to build early exercise European option and early termination American option pricing models. Firstly, the authors reviewed the characteristics of American option and European option, then there was compares between them. Base on continuous-time American option pricing model, this research analyzed the value of these options.

Fractal Nonstandard American Option Pricing Model

The empirical study shows that the return rate of the stock price has a long memory, which can be described by fractal Brown motion. The fact that fractal Brown motion does not have the characteristics of Markov makes the American option value depends on the price change path of the underlying asset. And the ordinary American option pricing model underestimates the American option value. In order to fully reflect the long memory of the underlying asset return rates, we propose fractal American option pricing model, fractal Bermuda option pricing model, and a fractal combination of American option pricing model. Fractal American option value is greater than the ordinary American option value.

An alternative lattice algorithm for option pricing

This paper proposes a dimension reduction technique on lattice model, an extension of the discrete CRR （1979） model, for option pricing. Applications are demonstrated on pricing some vulnerable options with the payoff functions including two stochastic processes： the underlying stock price and the assets value of the option writer. Instead of building a bivariate tree structure for these correlated processes, a univariate binomial tree for the underlying stock price is only constructed. The proposed univariate binomial tree model is sufficient to undertake, though two underlying assets are involved.

ROA of Real Estate Development in ZA

Although, there are numerous empirical studies that explore option pricing on vacant land, there is hardly such study based on a South African case study. Moreover, phenomena observed in certain countries are not always prevalent due to different economic circumstances. This case study explores option value emerging on vacant land due to office building in the Northern Suburbs of Johannesburg, South Africa （ZA） because land value ＂increased＂ in ＂price＂. Since late 1990s, Northern Suburbs are one of the most expensive areas of Johannesburg. Samuelson-McKean （1965） model is used to calculate option value on vacant land （Geltner ＆ Miller, 2001） and the model is used to estimate option values, first, when there are no costs, then when total costs are taken into account and lastly, when improvements are taken into account. The results are synonymous with option pricing theory （OPT） in sense that costs and land improvements increase option value; however, the impact of fixed costs on option value is debatable as fixed costs lead to an increase in option value while according to OPT they should not as fixed costs could easily be ＂hedged＂.

Pricing American Options using the Malliavin Calculus

In this paper we elaborate a general expression of the conditional expectation related to pricing problem of the American options using the Malliavin derivative （without localization）. This work is a generalization of paper of Bally et al. （2005） [ 1 ] for the one dimensional case. Basing on the density function of the asset price, Bally and al. used the Malliavin calculus to evaluate the conditional expectation related to pricing American option problem, but in our work we use the Malliavin derivative to resolve the previous problem.

Reserve estimation of an open pit mine under price uncertainty by real option approach

Reserve estimation is a key to find the correct NPV in a mining project. The most important factor in reserve estimation is the metal price. Metal price fluctuations in recent years were exaggerated, and imposed a high degree of uncertainty to the reserve estimation, and in consequence to the whole mine planning procedure. Real option approach is an efficient method of decision making in the uncertain conditions. This approach has been used for evaluation of defined natural resources projects until now. This study considering the metal price uncertainty used real option approach to prepare a methodology for reserve estimation in open pit mines. This study was done on a copper cylindrical deposit, but the achieved methodology can be adjusted for all kinds of deposits. This methodology was comprehensively described through the examples in such a manner that can be used by the mine planners.

A Service Ratio-Based Dynamic Fair Queueing Algorithm for Packet-Switching Networks

A new weighted fair queueing algorithm is proposed, which uses the novel flow-based service ratio parameters to schedule flows. This solves the main drawback of traditional weighted fair queneing algorithms- the packet-based calculation of the weight parameters. In addition, this paper proposes a novel service ratio calculation method and a queue mangement technology. The former adjusts the service ratio parameters adaptively based on the dynamics of the packet lengths and thee solves the unfairness problem induced by the variable packet length. The latter improves the utilization of the server＇s queue buffer and reduces the delay jitter through restricting the buffer length for each flow.

Comparison on global supply chain purchasing strategies based on supply contracts

In the global supply chain in a setting characterized by exchange rate uncertainties,it is quite necessary to focus on comparative research trying to find out which kind of purchasing strategy is better in different situations.The two common global purchasing strategies,risk sharing(RS)and quantity flexibility(QF),are selected to be compared.Using a real-options approach,the valuation models of RS and QF purchasing contracts are established.By means of binomial lattice technique,numerical simulation and sensitivity analysis of two stochastic dynamic programs are presented.The effects on expected discounted value by changing relative parameters are described clearly.Based on comparative analysis,it is concluded that the QF purchasing strategy is better than that of the RS especially where great volatility exists for exchange rate processes in the global supply chain.