ON PROPERTIES OF ANALYTICALLY SOLVABLE FAMILIES OF LOCAL VOLATILITY DIFFUSION MODELS

We present some further developments in the construction and classification of new solvable one‐dimensional diffusion models having transition densities, and other quantities that are fundamental to derivatives pricing, representable in analytically closed form. Our approach is based on so‐called diffusion canonical transformations that produce a large class of multiparameter nonlinear local volatility diffusion models that are mapped onto various simpler diffusions. Using an asymptotic analysis, we arrive at a rigorous boundary classification as well as a characterization with respect to probability conservation and the martingale property of the newly constructed diffusions. Specifically, we analyze and classify in detail four main families of driftless regular diffusion models that arise from the underlying squared Bessel process (the Bessel family), Cox–Ingersoll–Ross process (the confluent hypergeometric family), the Ornstein‐Uhlenbeck diffusion (the OU family), and the Jacobi diffusion (the hypergeometric family). We show that the Bessel family is a superset of the constant elasticity of variance model without drift. The Bessel family, in turn, is nested by the confluent hypergeometric family. For these two families we find further subfamilies of conservative strict supermartingales and nonconservative martingales with an exit boundary. For the new classes of nonconservative regular diffusions we also derive analytically exact first exit time densities that are given in terms of generalized inverse Gaussians and extensions. As for the two other new models, we show that the OU family of processes are conservative strict martingales, whereas the Jacobi family are nonconservative nonmartingales. Considered as asset price diffusion models, we also show that these models demonstrate a wide range of local volatility shapes and option implied volatility surfaces that include various pronounced skew and smile patterns.     

“微笑服务”——现代酒店管理成功的重要标志

微笑是世界通用的体态语,它超越了各种民族和文化的差异。世界著名的希尔顿酒店的创始人康纳.希尔顿,每当遇到员工时,都要询问这样一句话:"你今天对顾客微笑了没有?"他指出:"饭店里第一流的设备重要,而第一流服务员的微笑更重要,如果缺少服务员的美好微笑,好比花园里失去了春日的太阳和春风"。希尔顿酒店的成功,让我们看到"微笑的力量是巨大的"。在当今酒店业激烈的竞争中,微笑服务的重要性更加突显出来。可以说,微笑服务在酒店经营管理中是一条生命线,关系到酒店的生死存亡。     

Service with a smile: Does the type of smile matter?

Service providers have often used the mantra of “service with a smile” as a strategy to engender customer satisfaction. The findings of the current research indicate that a smile alone may not be sufficient in achieving service excellence. Specifically, this work extends prior research suggesting that customers have more positive reactions to Duchenne, or authentic, smiles compared to non-Duchenne, or non-genuine, smiles. Two experimental vignette studies examined the influence of the type of smile a service provider displays (Duchenne vs. non-Duchenne) and gender of the service provider on perceptions of service quality, as well as the Stereotype Content Model dimensions of competence and warmth. The results suggest that the type of smile (Duchenne vs. non-Duchenne) impacts evaluations of service providers in terms of their perceived level of competence, as well as their perceived service quality ratings. Implications for the hiring and training of service providers are also discussed.     

知识密集型服务业发展与制造业战略升级研究

随着经济全球化的不断深入,提高技术创新能力已成为培育企业与产业核心竞争力和提高国际竞争力的必经之路。在知识经济时代,知识成为企业创造竞争优势的重要要素,而知识密集型服务业(KIBS)已成为技术创新的必然选择。目前我国KIBS发展仍相对滞后,不能够有效支撑制造业战略转型升级。因此,促进制造业升级有待KIBS的快速发展支持,改变低端竞争的局面。     

Stochastic Volatility With an Ornstein-Uhlenbeck Process: An Extension

In this paper, we reexamine and extend the stochastic volatilitymodel of Stein and Stein (S&S) (1991) where volatility followsa mean–reverting Ornstein–Uhlenbeck process. UsingFourier inversion techniques we are able to allow for correlationbetween instantaneous volatilities and the underlying stockreturns. A closed-form pricing solution for European optionsis derived and some numerical examples are given. In addition,we discuss the boundary behaviour of the instantaneous volatilityat v(t) = 0 and show that S&S do not work with an absolutevalue process of volatility. JEL Classification: G13     

The Enron Bankruptcy: When did the options market in Enron lose it’s smirk?

The Enron Corporation went from a $65 billion dollar market capitalization to bankruptcy in just 16 months. Using statistical techniques for extracting the implied probability distributions built into option prices, I examine the market’s expectation of Enron’s risk of collapse. I find that the options market remained far too optimistic about the stock until just weeks before their bankruptcy filing. I thank Oded Palmon and an anonymous referee for helpful comments. JEL Classification G13 · G14     

Volatility Implied by Option Prices: The Case of Takeover Bids

We model the effect of an impending share price jump on the implied standard deviation (ISD) of a company's options, testing the model by investigating its predictive ability for ISDs of companies subject to a takeover bid. Our model fits the observed ISDs well for all but certain deep in-the-money options. However, the model demonstrates that a discontinuity in the relationship between moneyness and the ISD both explains the combination of high and zero ISDs exhibited by these options, and impairs the predictive power of the model at these levels of moneyness.     

The Dynamics of the S&P 500 Implied Volatility Surface

This empirical study is motivated by the literature on “smile-consistent” arbitrage pricing with stochastic volatility. We investigate the number and shape of shocks that move implied volatility smiles and surfaces by applying Principal Components Analysis. Two components are identified under a variety of criteria. Subsequently, we develop a “Procrustes” type rotation in order to interpret the retained components. The results have implications for both option pricing and hedging and for the economics of option pricing. This revised version was published online in June 2006 with corrections to the Cover Date.