A Continuity Correction for Discrete Barrier Options

The payoff of a barrier option depends on whether or not a specified asset price, index, or rate reaches a specified level during the life of the option. Most models for pricing barrier options assume continuous monitoring of the barrier; under this assumption, the option can often be priced in closed form. Many (if not most) real contracts with barrier provisions specify discrete monitoring instants; there are essentially no formulas for pricing these options, and even numerical pricing is difficult. We show, however, that discrete barrier options can be priced with remarkable accuracy using continuous barrier formulas by applying a simple continuity correction to the barrier. The correction shifts the barrier away from the underlying by a factor of exp(bet sig sqrt dt), where bet approx 0.5826, sig is the underlying volatility, and dt is the time between monitoring instants. The correction is justified both theoretically and experimentally.     

Optimal patent length and height

Patent breadth and length have been discussed extensively in innovation literature. In this article, I analyze the optimal degree of novelty of patent protection and its tradeoff with patent length. In the context of subsequent innovations each innovation builds on the previous one. The degree of novelty necessary for a non-infringing patent is crucial for the firms’ incentive to innovate. One of the findings is that a monopolist’s optimal degree of novelty is lesser than would be socially desirable. Furthermore, there exists a finite optimal patent length. Competitors introducing an improved technology cause uncertainty which may be compensated by extending patent length.

The number of pure Nash equilibria in a random game with nondecreasing best responses

We randomly draw a game from a distribution on the set of two-player games with a given size. We compute the distribution and the expectation of the number of pure-strategy Nash equilibria of the game conditional on the game having nondecreasing best-response functions. The conditional expected number of pure-strategy Nash equilibria becomes much larger than the unconditional expected number as the size of the game grows.     

一个差分方程的动力行为

研究了一个四阶有理差分方程,证明了该方程的正平衡点是全局渐近稳定的.     

Finite project life and uncertainty effects on investment

This paper revisits the important result of the real options approach to investment under uncertainty, which states that increased uncertainty raises the value of waiting and thus decelerates investment. Typically in this literature projects are assumed to be perpetual. However, in today's economy firms face a fast-changing technology environment, implying that investment projects are usually considered to have a finite life. The present paper studies investment projects with finite project life, and we find that, in contrast with the existing theory, investments may be accelerated by increased uncertainty. It is shown that this particularly happens at low levels of uncertainty and when project life is short.     

Career length: Effects of curvature of earnings profiles,earnings shocks,taxes, and social security

The same high labor supply elasticity that characterizes a representative family model with indivisible labor and employment lotteries also emerges without lotteries when self-insuring individuals choose interior solutions for their career lengths. Off corners, the more elastic is an earnings profile to accumulated working time, the longer is a workerʼs career. Negative (positive) unanticipated earnings shocks reduce (increase) the career length of a worker holding positive assets, while the effects are the opposite for a worker with negative assets. By inducing a worker to retire at an official retirement age, government provided social security can attenuate responses of career lengths to earnings profile slopes, earnings shocks, and taxes.     

Customer Environmental Values and Their Contribution to Loyalty in Industrial Markets

Concern over the effect of industries on the natural environment is growing on a multitude of levels. This study examines the effects of how perceptions of (a) environmental values, (b) green image and (c) perceived value of industrial customers influence their loyalty towards suppliers in existing relationships, and how the length of B2B relationships may moderate these linkages. A conceptual framework is developed and data are collected from a global sample (N =121) of B2B customers. We find that both green image and perceived value have a direct positive link with customer loyalty and that environmental values are positively linked to the green image of the supplier. Moreover, the effect of green image on loyalty is mediated by perceived value, with environmental values only indirectly linked with perceived value of the supplier. As the length of relationship increases, on one hand the positive relationship between green image and customer loyalty is strengthened, while on the other the positive relationship between environmental value and green image is weakened. Regardless of how environmentally aware the customer is, green image is a strong predictor of both perceived value and loyalty. Copyright © 2015 John Wiley & Sons, Ltd and ERP Environment     

新铁煤矿井田储量和服务年限的地质分析

本文主要阐述了铁东煤矿井田储量的计算、保安煤柱、储量计算方法、储量计算的评价和服务年限的地质分析等问题。     

构建关联企业转让定价税务管理法规的新视点

关联企业税务管理是我国税务管理中的难点,也是开放型经济中的重要税收课题。本文在对我国现有的关联企业税收管理法规作出积极评价的同时,指出关联企业税务管理的难点在于税务实践中关联企业的公平交易定价原则如何体现、税务部门如何确定每一关联企业的公平交易定价和对关联企业交易往来进行有效的税务管理,提出了进一步完善规范关联企业转让定价的原则,完善转让定价税务管理法规和提高管理手段等几个方面的新的建议。