Lookback options are path-dependent options. In general, the binomial tree methods, as the most popular approaches to pricing options, involve a path dependent variable as well as the underlying asset price for lookba...Lookback options are path-dependent options. In general, the binomial tree methods, as the most popular approaches to pricing options, involve a path dependent variable as well as the underlying asset price for lookback options. However, for floating strike lookback options, a single-state variable binomial tree method can be constructed. This paper is devoted to the convergence analysis of the single-state binomial tree methods both for discretely and continuously monitored American floating strike lookback options. We also investigate some properties of such options, including effects of expiration date, interest rate and dividend yield on options prices, properties of optimal exercise boundaries and so展开更多
In this paper, the binomial tree method is introduced to price the European option under a class of jump-diffusion model. The purpose of the addressed problem is to find the parameters of the binomial tree and design ...In this paper, the binomial tree method is introduced to price the European option under a class of jump-diffusion model. The purpose of the addressed problem is to find the parameters of the binomial tree and design the pricing formula for European option. Compared with the continuous situation, the proposed value equation of option under the new binomial tree model converges to Merton’s accurate analytical solution, and the established binomial tree method can be proved to work better than the traditional binomial tree. Finally, a numerical example is presented to illustrate the effectiveness of the proposed pricing methods.展开更多
In order to effectively avoid the defects of a traditional discounted cash flow method, a trinomial tree pricing model of the real option is improved and used to forecast the investment price of mining. Taking Molybde...In order to effectively avoid the defects of a traditional discounted cash flow method, a trinomial tree pricing model of the real option is improved and used to forecast the investment price of mining. Taking Molybdenum ore as an example, a theoretical model for the hurdle price under the optimal investment timing is constructed. Based on the example data, the op- tion price model is simulated. By the model, mine investment price can be computed and forecast effectively. According to the characteristics of mine investment, cut-off grade, reserve estimation and mine life in different price also can be quantified. The result shows that it is reliable and practical to enhance the accuracy for mining investment decision.展开更多
The binomial tree method is the most popular numerical approach to pricing options. However,for currency lookback options,this method is not consistent with the corresponding continuous models,which leads to slow spee...The binomial tree method is the most popular numerical approach to pricing options. However,for currency lookback options,this method is not consistent with the corresponding continuous models,which leads to slow speed of convergence.On the basis of the PDE approach,we develop a consistent numerical scheme called the modified binomial tree method.It possesses one order of accuracy and its efficiency is demonstrated by numerical experiments.The convergence proofs are also produced in terms of numerical analysis and the notion of viscosity solution.展开更多
For the demands of automatic pruning, an effective discrimination rule of the forked and non-forked larch trees is established. First, information of tnmk and branch diameters of a larch plantations was collected from...For the demands of automatic pruning, an effective discrimination rule of the forked and non-forked larch trees is established. First, information of tnmk and branch diameters of a larch plantations was collected from the west mountain of Beijing. The growth characteristics of the forked and non-forked trees were studied. Given the statistical characteristics of the trunk and branch diameters, a discriminant function of the forked branch and non-forked larch trees was established statistically. Excellent discrimination results were obtained by the function and the rule. The study presents an effective discrimination rule to separate forked trees from straight trees for automatic pruning.展开更多
The interests of vulnerable groups can’t be guaranteed due to their weaker capacity and the limited interests demand channels during the water pollution conflicts. The interest protection for the vulnerable people in...The interests of vulnerable groups can’t be guaranteed due to their weaker capacity and the limited interests demand channels during the water pollution conflicts. The interest protection for the vulnerable people in the water pollution conflicts has attracted attentions of the international scholars. The paper tries to construct the market mechanism which can make the vulnerable people to involve in the emission trading. The vulnerable people can buy American put option in the emission trading market. When the price of the emission runs below the contract price, the vulnerable people can get the benefit through executing the option. When the price of the emission runs above the contract price, the vulnerable people can give up the right. The binomial tree option pricing model can help the vulnerable people to make a decision through the analysis of the worth of the American put option.展开更多
在分析关于光伏电站项目当前政策的基础上,建立了对标燃煤标杆上网电价的光伏发电平准化度电成本(LCOE)模型,并与实物期权方法相结合,考虑项目延迟期权与放弃期权的复合实物期权价值,构建了全面反映项目竞争力价值的扩展平准化度电成本(...在分析关于光伏电站项目当前政策的基础上,建立了对标燃煤标杆上网电价的光伏发电平准化度电成本(LCOE)模型,并与实物期权方法相结合,考虑项目延迟期权与放弃期权的复合实物期权价值,构建了全面反映项目竞争力价值的扩展平准化度电成本(extended levelized cost of energy,ELCOE)模型,并以某光伏电站项目为例进行了分析。分析结果表明:平价上网机制下,建立的LCOE模型能够直接对标燃煤标杆上网电价,且ELCOE模型考虑了光伏电站项目未来收益的不确定性与管理灵活性,弥补了LCOE法忽略项目未来不确定性价值的不足,避免决策失误。展开更多
基金Supported by National Science Foundation of China
文摘Lookback options are path-dependent options. In general, the binomial tree methods, as the most popular approaches to pricing options, involve a path dependent variable as well as the underlying asset price for lookback options. However, for floating strike lookback options, a single-state variable binomial tree method can be constructed. This paper is devoted to the convergence analysis of the single-state binomial tree methods both for discretely and continuously monitored American floating strike lookback options. We also investigate some properties of such options, including effects of expiration date, interest rate and dividend yield on options prices, properties of optimal exercise boundaries and so
文摘In this paper, the binomial tree method is introduced to price the European option under a class of jump-diffusion model. The purpose of the addressed problem is to find the parameters of the binomial tree and design the pricing formula for European option. Compared with the continuous situation, the proposed value equation of option under the new binomial tree model converges to Merton’s accurate analytical solution, and the established binomial tree method can be proved to work better than the traditional binomial tree. Finally, a numerical example is presented to illustrate the effectiveness of the proposed pricing methods.
文摘In order to effectively avoid the defects of a traditional discounted cash flow method, a trinomial tree pricing model of the real option is improved and used to forecast the investment price of mining. Taking Molybdenum ore as an example, a theoretical model for the hurdle price under the optimal investment timing is constructed. Based on the example data, the op- tion price model is simulated. By the model, mine investment price can be computed and forecast effectively. According to the characteristics of mine investment, cut-off grade, reserve estimation and mine life in different price also can be quantified. The result shows that it is reliable and practical to enhance the accuracy for mining investment decision.
基金Supported by National Science Foundation of China (No.19871062)
文摘The binomial tree method is the most popular numerical approach to pricing options. However,for currency lookback options,this method is not consistent with the corresponding continuous models,which leads to slow speed of convergence.On the basis of the PDE approach,we develop a consistent numerical scheme called the modified binomial tree method.It possesses one order of accuracy and its efficiency is demonstrated by numerical experiments.The convergence proofs are also produced in terms of numerical analysis and the notion of viscosity solution.
文摘For the demands of automatic pruning, an effective discrimination rule of the forked and non-forked larch trees is established. First, information of tnmk and branch diameters of a larch plantations was collected from the west mountain of Beijing. The growth characteristics of the forked and non-forked trees were studied. Given the statistical characteristics of the trunk and branch diameters, a discriminant function of the forked branch and non-forked larch trees was established statistically. Excellent discrimination results were obtained by the function and the rule. The study presents an effective discrimination rule to separate forked trees from straight trees for automatic pruning.
文摘The interests of vulnerable groups can’t be guaranteed due to their weaker capacity and the limited interests demand channels during the water pollution conflicts. The interest protection for the vulnerable people in the water pollution conflicts has attracted attentions of the international scholars. The paper tries to construct the market mechanism which can make the vulnerable people to involve in the emission trading. The vulnerable people can buy American put option in the emission trading market. When the price of the emission runs below the contract price, the vulnerable people can get the benefit through executing the option. When the price of the emission runs above the contract price, the vulnerable people can give up the right. The binomial tree option pricing model can help the vulnerable people to make a decision through the analysis of the worth of the American put option.
文摘在分析关于光伏电站项目当前政策的基础上,建立了对标燃煤标杆上网电价的光伏发电平准化度电成本(LCOE)模型,并与实物期权方法相结合,考虑项目延迟期权与放弃期权的复合实物期权价值,构建了全面反映项目竞争力价值的扩展平准化度电成本(extended levelized cost of energy,ELCOE)模型,并以某光伏电站项目为例进行了分析。分析结果表明:平价上网机制下,建立的LCOE模型能够直接对标燃煤标杆上网电价,且ELCOE模型考虑了光伏电站项目未来收益的不确定性与管理灵活性,弥补了LCOE法忽略项目未来不确定性价值的不足,避免决策失误。
