Asymmetric information about volatility: How does it affect implied volatility,option prices and market liquidity?

This paper develops a model of asymmetric information in which an investor has information regarding the future volatility of the price process of an asset and trades an option on the asset. The model relates the level and curvature of the smile in implied volatilities as well as mispricing by the Black-Scholes model to net options order flows (to the market maker). It is found that an increase in net options order flows (to the market maker) increases the level of implied volatilities and results in greater mispricing by the Black-Scholes model, besides impacting the curvature of the smile. The liquidity of the option market is found to be decreasing in the amount of uncertainty about future volatility that is consistent with existing evidence. This revised version was published online in June 2006 with corrections to the Cover Date.     

实物期权及其在企业价值评估中的应用

企业价值是企业在市场中交易定价的基础,企业在其发展过程中会面临很多投资机会或选择,这些投资机会或选择权是有价值的,然而传统企业价值评估方法仅考虑企业资产现值和未来收益现值,而忽视未来投资时机的最优选择问题。实物期权恰恰是对传统评估方法有益的补充,本文通过对典型实务期权计算模型的应用分析,说明如何利用实物期权模型进行企业价值评估,为企业提供一种新的思路和方法。     

Edokko Options: A New Framework of Barrier Options

In this paper, we will give a new framework of barrier options to generalize`Parisian Option' and `Delayed Barrier Option'. Take a stopping time asthe caution time. When occurs, derivatives are given `Caution'. After, if K.O. time =() occurs, derivative contractsvanish. We simply say that first `Caution' second `K.O.'. Using thisframework, designs of barrier options become more flexible than before and newrisk management will be possible. New barrier options in this category arecalled Edokko Options or Tokyo Options.     

Black-Scholes公式中无风险利率常数假设的一种改进

Black-Scholes公式中无风险利率的常数假设与现实不符。本文假设无风险利率在一个区间中变动,讨论求期权价格区间问题。首先将此问题归结为一个随机最优控制问题,然后利用动态规划原理得到期权价格区间上下限满足的模型以及模型解法,并利用最优静态对冲缩小此价格区间,最后以BaiDu股票期权为例给出了模型在期权市场上的应用,提供了一种期权市场上的套利识别方法并与Black-Scholes公式的结果做了比较。