The valuation and behavior of black-scholes options subject to intertemporal default risk

This paper addresses the valuation and behavior of European options subject to intertemporal writer default risk. The framework allows the timing of default and recovery value to be uncertain. Default is said to occur if the writer's creditworthiness violates a specified critical level-both stochastic. Various recovery scenarios are considered including linking recovery to the moneyness of the option at the time of default. In an application of the model, it is estimated that current customer margin requirements for exchange-traded options are set far in excess of the fair market value.     

Long memory options: LM evidence and simulations

This paper demonstrates the impact of the observed financial market persistence or long term memory on European option valuation by simple simulation. Many empirical researchers have observed the non-Fickian degrees of persistence in the financial markets different from the Fickian neutral independence (i.i.d.) of the returns innovations assumption of Black–Scholes’ geometric Brownian motion assumption. Moreover, Elliott and van der Hoek [Elliott, R.J., van der Hoek, J., 2003. A general fractional white noise theory and applications to finance. Math. Finance 13, 301–330] provide a theoretical framework for incorporating these findings into the Black–Scholes risk-neutral valuation framework. This paper provides the first graphical demonstration why and how such long term memory phenomena change European option values and provides thereby a basis for informed long term memory arbitrage. By using a simple mono-fractal fractional Brownian motion, it is easy to incorporate the various degrees of persistence into the Black–Scholes pricing formula. Long memory options are of considerable importance in corporate remuneration packages, since stock options are written on a company’s own shares for long expiration periods. It makes a significant difference in the valuation when an option is “blue” or when it is “red.” For a proper valuation of such stock options, the degrees of persistence of the companies’ share markets must be precisely measured and properly incorporated in the warrant valuation, otherwise substantial pricing errors may result.     

Underlying assets for which options complete the market

This paper shows that investigations on the spanning power of options in spaces of integrable and continuously distributed payoffs can be conducted in the space of Lebesgue integrable claims on [0,1]. It is proved that there are infinite many underlying assets for which options span spaces of integrable claims. It is also shown that options on a single underlyer fail to complete the spaces of continuous contingent claims that are defined over a noncompact state-space.     

金融资产定价理论的历史回顾与展望

金融资产定价理论是金融学的核心问题，华尔街的两次“革命”都源自于对资产定价理论的研讨。通过对金融资产定价理论的历史文献回顾，可以把资产定价理论大致分为三个阶段：萌芽阶段、发展阶段和繁荣阶段。其中，萌芽阶段在20世纪50年代以前的时间段，发展阶段在20世纪50年代到70年代，繁荣阶段则在20世纪80年代以后到目前的时间段。最后对金融资产定价理论做出展望，指出现代数学方法的运用仍是资产定价理论向前发展的动力。     

Options on portfolios with higher-order moments

We develop a simple calibration approach to generate return distributions for multivariate asset distributions and use this technique to price options on portfolios given the first four co-moments of the joint distribution of returns. The technique is fast and captures the impact of covariance, and the co-skewness and co-kurtosis tensors on the value of these options. Given the technique works for a portfolio, the same is also applicable to options on individual securities as a special simpler case.     

建设和谐社会的若干问题探讨

本文主要从经济和社会领域分析构建社会主义和谐社会面临的突出矛盾和问题，并就今后一段时间的重点任务和主要对策进行探讨。     

Past managerial guidance and returns to variance trading around earnings announcements

I investigate the relationship between past managerial guidance and realized variance risk premiums (VRPs) – i.e., the difference between implied and realized variance – in equity options around earnings announcements. I find that implied variances are lower before earnings announcements but VRPs are higher when firms provide guidance. I also find higher option-implied jump risk when firms issue surprising guidance. Further tests suggest a portion of the higher VRPs are due to changes in perceived higher-order risks, but traders also underreact to the precision of information in short-term guidance. These results are attenuated for firms with a better information environment.     

交易纪律和私有信息对机构投资者超额报酬的影响

依据台湾股指期权成交档、委托档和持仓档等日内数据,参考Fishe and Smith (2012)方法识别出获得超额报酬的外资和本土机构投资者,对应的比例分别为50.6％和44.9％.考量获得超额报酬的来源,结果发现:外资和本土投资者确实拥有私有信息;交易纪律对机构投资者的绩效有显著的影响,外资和本土机构投资者中分别有78.3％和69.6％的超额报酬得益于交易纪律;交易纪律和投资者的信息优势存在交叉效应的影响.     

New evidence on the implied-realized volatility relation

We consider the relation between the volatility implied in an option's price and the subsequently realized volatility. Earlier studies on stock index options have found biases and inefficiencies in implied volatility as a forecast of future volatility. More recently, Christensen and Prabhala find that implied volatility in at-the-money one-month OEX call options on the S&P 100 index in fact is an unbiased and efficient forecast of ex-post realized index volatility after the 1987 stock market crash. In this paper, the robustness of the unbiasedness and efficiency result is extended to a more recent period covering April 1993 to February 1997. As a new contribution, implied volatility is constructed as a trade weighted average of implied volatilities from both in-the-money and out-of-the-money options and both puts and calls. We run a horse race between implied call, implied put, and historical return volatility. Several robustness checks, including a new simultaneous equation approach, underscore our conclusion, that implied volatility is an efficient forecast of realized return volatility.