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 ...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.展开更多
Aiming at the public sector and the private sector in PPP projects as the research objects, the two core participants investment decision model is established by using option game thinking. First, based on the option ...Aiming at the public sector and the private sector in PPP projects as the research objects, the two core participants investment decision model is established by using option game thinking. First, based on the option game features PPP projects have, the paper proposes some research hypotheses on value, income, cost for the option. Second, on the basis of the decision path of a multi-stage binary tree model, respectively for the public sector and the private sector, the paper builds up utility functions, the cost-input model and the contract decision model. It indicates that by the use of growth options in the shortened contract period, the private sector can still ensure the construction quality of the PPP project. Finally, the validity of the model in the PPP project agreement and the investment decision process is verified by the case analysis.展开更多
This paper presents simple and fast algorithms for computing very tight upper and lower bounds on the prices of American Asian options in the binomial model.The authors choose two types sets of the actual arithmetic a...This paper presents simple and fast algorithms for computing very tight upper and lower bounds on the prices of American Asian options in the binomial model.The authors choose two types sets of the actual arithmetic average prices,instead of the simulated values in other existing models,as the representative average prices at each node of the binomial tree.This approach simplifies effectively the computation and reduces the error caused by the linear interpolation.Numerical results show that the approach produces accurate upper and lower bounds compared to the other existing methods based on the binomial tree.展开更多
文摘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.
文摘Aiming at the public sector and the private sector in PPP projects as the research objects, the two core participants investment decision model is established by using option game thinking. First, based on the option game features PPP projects have, the paper proposes some research hypotheses on value, income, cost for the option. Second, on the basis of the decision path of a multi-stage binary tree model, respectively for the public sector and the private sector, the paper builds up utility functions, the cost-input model and the contract decision model. It indicates that by the use of growth options in the shortened contract period, the private sector can still ensure the construction quality of the PPP project. Finally, the validity of the model in the PPP project agreement and the investment decision process is verified by the case analysis.
基金partially supported by China Postdoctoral Science Foundation under Grant No.2012M510377National Natural Science Foundation of China under Grant Nos.71373043,71331006,and 71171119+2 种基金the National Social Science Foundation of China under Grant No.11AZD010Program for New Century Excellent Talents in University under Grant No.NCET-10-0337Program for Excellent Talents,UIBE
文摘This paper presents simple and fast algorithms for computing very tight upper and lower bounds on the prices of American Asian options in the binomial model.The authors choose two types sets of the actual arithmetic average prices,instead of the simulated values in other existing models,as the representative average prices at each node of the binomial tree.This approach simplifies effectively the computation and reduces the error caused by the linear interpolation.Numerical results show that the approach produces accurate upper and lower bounds compared to the other existing methods based on the binomial tree.
