An exact and explicit solution for the valuation of American put options

In this paper, an exact and explicit solution of the well-known Black–Scholes equation for the valuation of American put options is presented for the first time. To the best of the author's knowledge, a closed-form analytical formula has never been found for the valuation of American options of finite maturity, although there have been quite a few approximate solutions and numerical approaches proposed. The closed-form exact solution presented here is written in the form of a Taylor's series expansion, which contains infinitely many terms. However, only about 30 terms are actually needed to generate a convergent numerical solution if the solution of the corresponding European option is taken as the initial guess of the solution series. The optimal exercise boundary, which is the main difficulty of the problem, is found as an explicit function of the risk-free interest rate, the volatility and the time to expiration. A key feature of our solution procedure, which is based on the homotopy-analysis method, is the optimal exercise boundary being elegantly and temporarily removed in the solution process of each order, and, consequently, the solution of a linear problem can be analytically worked out at each order, resulting in a completely analytical and exact series-expansion solution for the optimal exercise boundary and the option price of American put options.     

存款保险的期权定价模型构造及实证研究

存款保险定价是存款保险制度建设中的核心内容,保险定价效率直接影响制度的功效。碍于现金流贴现估价模型的局限性,从期权的角度阐述了存款保险与期权的关系,指出存款保险合同实质上就是一份看跌期权,从理论和实证两方面论述了如何运用Black-Schole期权定价模型确定存款保险价格的问题,对实践中存款保险的合理定价和制度建设具有重要的指导意义。     

Mortgage Put Options and Real Estate Markets

In this paper we offer direct evidence that financial intermediation does impact underlying asset markets. We develop a specific observable symptom of a banking system that underprices the put option imbedded in non-recourse asset-backed lending. Using a dataset for 19 countries and over 500 real estate investment trusts, we find that, following a negative demand shock, the “underpricing” economies experience far deeper asset market crashes than economies in which the put option is correctly priced.

CS战略及在物流企业中的应用

CS战略是企业经营中的顾客满意战略,是企业经营活动的基本准则。物流企业要想在市场竞争中取胜,必须以顾客为中心,积极实施顾客满意战略,通过更新经营理念,完善组织管理模式和服务体系,建立顾客信息反馈系统,加强与顾客沟通等途径,为顾客创造增值服务,不断增强顾客满意度,提高自身的竞争能力。     

职教学生的规范教育

本文对职教学生的规范教育状况进行了分析,就当前如何做好职教学生的规范教育提出了设想,并作了述评。     

On perpetual American put valuation and first-passage in a regime-switching model with jumps

In this paper we consider the problem of pricing a perpetual American put option in an exponential regime-switching Lévy model. For the case of the (dense) class of phase-type jumps and finitely many regimes we derive an explicit expression for the value function. The solution of the corresponding first-passage problem under a state-dependent level rests on a path transformation and a new matrix Wiener–Hopf factorization result for this class of processes. Research supported by the Nuffield Foundation, grant NAL/00761/G, and EPSRC grant EP/D039053/1.     

钢板桩基坑支护施工技术

文章结合工程实际情况,阐述钢板桩基坑支护的施工技术。通过对深基坑工程周边环境及施工难点进行分析,选择钢板桩支护方案,并结合工程具体环境采取相应的施工技术,达到了预期目的。     

谈“以人为本与加强运行发电管理”实践

针对影响科学运行发电存在的问题,提出通过“两个巩固、两个增强、三个突出”等主要措施．强化大唐岩滩水力发电有限责任公司发电运行管理,深化6S管理载体,提高基础管理水平,齐心协力做好“水文章”．全力以赴完成“攻坚年”的各项任务,为集团公司进军世界500强而努力。     

Current Situation of China''''s Petroleum Supply & Demand and Change of Circulation System

China's crude supply consists of the imported crude and crude produced by CNPC and CNOOC. In 1996, national crude production reached 157.29 million tons including 141.41 million tons produced by CNPC. Offshore crude production in 1996 soared to 15. 01 million tons, up 78% from 1995. In 1997, China will produce, import     

浅谈房地产公司战略采购材料部品送认封管理

通过材料部品样品送样、认样、封样的全过程管理,实现材料部品的收集、分类、整理、入库、出库的过程跟踪控制,明确职责划分实施全过程可追溯的有效资源管理模式。