Priority option pricing in an M/M/m queue

We study a system where the service provider offers priority options. We identify the optimal option pricing policy, by deriving the optimal number a customer would buy and the customer’s exercise policy as a function of system congestion, options remaining, time to expiration and possibility of balking.     

Optimal exercise of jointly held real options: A Nash bargaining approach with value diversion

This paper provides a two-stage decision framework in which two or more parties exercise a jointly held real option. We show that a single party’s timing decision is always socially efficient if it precedes bargaining on the terms of sharing. However, if the sharing rule is agreed before the exercise timing decision is made, then socially optimal timing is attained only if there is a cash payment element in the division of surplus. If the party that chooses the exercise timing can divert value from the project, then the first-best outcome may not be possible at all and the second-best outcome may be implemented using a contract that is generally not optimal in the former cases. Our framework contributes to the understanding of a range of empirical regularities in corporate and entrepreneurial finance.     

规定水平下重置期权的有限差分解

利用Black—Scholes偏微分方程,结合重置期权与关卡期权的关系,建立了规定水平下的重置期权定价模型,最后运用C—N格式和θ法构造该模型的有限差分格式．     

Pricing bounds for discrete arithmetic Asian options under Lévy models

Analytical bounds for Asian options are almost exclusively available in the Black-Scholes framework. In this paper we derive bounds for the price of a discretely monitored arithmetic Asian option when the underlying asset follows an arbitrary Lévy process. Explicit formulas are given for Kou’s model, Merton’s model, the normal inverse Gaussian model, the CGMY model and the variance gamma model. The results are compared with the comonotonic upper bound, existing numerical results, Monte carlo simulations and in the case of the variance gamma model with an existing lower bound. The method outlined here provides lower and upper bounds that are quick to evaluate, and more accurate than existing bounds.     

基于GARCH族模型商业银行外汇风险管理的VaR方法研究

面对日趋加大的汇率波动性,商业银行外汇资产面临的风险也越来越大,风险的计量与预测在管理外汇风险中的作用也越来越重要.引入参数法下的GARCH模型对外汇市场存在的风险进行计量分析,并以此为基础运用VaR方法进一步计算外汇资产的风险补偿金,以达到预测和控制外汇风险目的.     

期权组合最优套期保值模型及实证研究

根据实际投资中投资者可以选择不同到期日、不同敲定价格的期权组合进行套期保值的现实,本文建立了二次效用函数下期权组合最优动态套期保值模型,证明了该模型最优解存在的唯一性,并在协方差矩阵可逆和不可逆两种情形下分别给出了期权最优头寸的显式表达式。在50ETF价格先升后降、先降后升、下降和上升四种情形下,对上证50ETF期权的多种期权组合套期保值问题进行实证分析。研究结果表明:不同到期日不同敲定价格的看跌期权组合具有较好的套期保值效果。本文的研究为选择期权组合进行套期保值和解决展期期权套期保值问题提供了借鉴。     

An accurate and nondestructive GC method for determination of cocaine on US paper currency

The presence of cocaine on US paper currency has been known for a long time. Banknotes become contaminated during the exchange, storage, and abuse of cocaine. The analysis of cocaine on various denominations of US banknotes in the general circulation can provide law enforcement circles and forensic epidemiologists objective and timely information on epidemiology of illicit drug use and on how to differentiate money contaminated in the general circulation from banknotes used in drug transaction. A simple, nondestructive, and accurate capillary gas chromatographic method has been developed for the determination of cocaine on various denominations of US banknotes in this study. The method comprises a fast ultrasonic extraction using water as a solvent followed by a SPE cleanup process with a C(18) cartridge and capillary GC separation, identification, and quantification. This nondestructive analytical method has been successfully applied to determine the cocaine contamination in US paper currency of all denominations. Standard calibration curve was linear over the concentration range from the LOQ (2.00 ng/mL) to 100 microg/mL and the RSD less than 2.0%. Cocaine was detected in 67% of the circulated banknotes collected in Southeastern Massachusetts in amounts ranging from approximately 2 ng to 49.4 microg per note. On average, $5, 10, 20, and 50 denominations contain higher amounts of cocaine than $1 and 100 denominations of US banknotes.     

外汇储备增加对基础货币投放的影响——基于协整方法与VAR模型的实证检验

在理论上,由于外汇储备在货币当局的资产负债表中处于资产方,因而它的增加将导致负债或其他资产的波动,最终使得基础货币投放的增加。本文采用1994年1季度至2007年1季度的数据,运用协整方法、向量自回归(VAR)模型实证检验了中国外汇储备增加对货币投放的影响.实证检验结果显示了中国外汇储备增加对基础货币投放的影响程度,以及影响的滞后性、持久性与稳定性特征,从而为货币当局实行开放经济下的货币政策提供一定的实证依据。     

基于复傅里叶级数展开的最低身故利益保障寿险产品的定价

本文利用复傅里叶级数展开方法(CFS)对最低身故利益保障(GMDB)寿险产品进行定价,其主要的思想是对辅助函数进行傅里叶级数展开.本文考虑了两种剩余寿命密度函数的形式,即联合指数形式和分段常数死亡率形式,并通过运用已知的Levy模型的特征函数来估计级数的系数.我们将主要考虑看涨期权和看跌期权下GMDB产品的定价问题,在数值实验部分我们还通过与余弦级数展开方法(COS)和蒙特卡洛方法(MC)进行比较来说明CFS在计算精度和运行时间方面的优势.     

Bounds for in-progress floating-strike Asian options using symmetry

This paper studies symmetries between fixed and floating-strike Asian options and exploits this symmetry to derive an upper bound for the price of a floating-strike Asian. This bound only involves fixed-strike Asians and vanillas, and can be computed simply given one of the many efficient methods for pricing fixed-strike Asian options. The bound coincides with the true price until after the averaging has begun and again at maturity. The bound is compared to benchmark prices obtained via Monte Carlo simulation in numerical examples. D. Hobson is supported by an Advanced Fellowship from the EPSRC. V. Henderson is partially supported by the NSF under grant DMI 0447990.