Option pricing in a lognormal securities market with discrete trading: A comment

In a recent paper Lee et al. derive a pricing formula which is significantly different from that of Black and Scholes. Their derivation is inconsistent due to their failure to recognize that the rate of return of an option written on an asset whose rate of return is lognormally distributed will not be lognormally distributed.     

The optimal trading and pricing of securities with asymmetric capital gains taxes and transaction costs

This article explores the optimal trading and pricing of taxablesecurities with asymmetric capital gains taxes and transactioncosts. In the long-term region, investors realize all gainsbelow some critical cutoff level, which we derive analytically.In the short-term region, investors defer all gains and, dependingupon the time remaining in the short-term region, may also defersmall losses. Contrary to common intuition, deferral of short-termlosses can be optimal even without transaction costs. The valueof tax timing is considerably higher under the optimal tradingstrategy than under alternative strategies previously analyzed.The impact of offset rules is also explored.     

Option pricing model with sentiment

In this paper, we develop a closed-form option pricing model with the stock sentiment and option sentiment. First, the model shows that the price of call option is amplified by bullish stock sentiment, and is reduced by stock bearish sentiment, and the price of put option is in the opposite situation. Second, the price of call option is more sensitive to bullish stock sentiment; the price of put option is more sensitive to bearish stock sentiment. Third, the price of call option increases substantially with respect to the stock sentiment and the option sentiment. The price of put option decreases substantially with respect to the stock sentiment, increases substantially with respect to the option sentiment. Fourth, our models also reveal that the option volatility smile is steeper (flatter) when the stock sentiment becomes more bearish (bullish). Finally, stock sentiment and option sentiment lead to the option price deviating from the rational price. The model could offer a partial explanation of some option anomalies: option price bubbles and option volatility smile.     

Option pricing with quadratic volatility: a revisit

This paper considers the pricing of European options on assets that follow a stochastic differential equation with a quadratic volatility term. We correct several errors in the existing literature, extend the pricing formulas to arbitrary root configurations, and list alternative representations of option pricing formulas to improve computational performance. Our exposition is based entirely on probabilistic arguments, adding a fresh perspective and new intuition to the existing PDE-dominated literature on the subject. Our main tools are martingale methods and shifts of probability measures; the fact that the underlying process is typically a strict local martingale is carefully considered throughout the paper.     

Option pricing in a Garch model with tempered stable innovations

The key problem for option pricing in Garch models is that the risk-neutral distribution of the underlying at maturity is unknown. Heston and Nandi solved this problem by computing the characteristic function of the underlying by a recursive procedure. Following the same idea, Christoffersen, Heston and Jacobs proposed a Garch-like model with inverse Gaussian innovations and recently Bellini and Mercuri obtained a similar procedure in a model with Gamma innovations. We present a model with tempered stable innovations that encompasses both the CHJ and the BM models as special cases. The proposed model is calibrated on S&P500 closing option prices and its performance is compared with the CHJ, the BM and the Heston–Nandi models.     

Option pricing with random risk aversion

Review of Quantitative Finance and Accounting - Based on a standard general equilibrium economy, we develop a framework for pricing European options where the risk aversion parameter is state...     

Option pricing under a Gamma-modulated diffusion process

We study a Gamma-modulated diffusion process as a long-memory generalization of the standard Black-Scholes model. This model introduces a time dependent volatility. The option pricing problem associated with this type of processes is computed.     

证券市场中的审计师变更研究

研究审计师变更的动因、信息披露、市场反应等,有助于分析特定审计服务市场的特征,并为监管部门、投资者和审计职业界提供重要的决策依据.本文分析了有关发达证券市场审计师变更文献的观点、经验发现与结论,提出了我国开展相关研究的初步想法.     

Option pricing under non-normality: a comparative analysis

This paper carries out a comparative analysis of the calibration and performance of a variety of options pricing models. These include Black and Scholes (J Polit Econ 81:637–659, 1973), the Gram–Charlier (GC) approach of Backus et al. (1997), the stochastic volatility (HS) model of Heston (Rev Financ Stud 6:327–343, 1993), the closed-form GARCH process of Heston and Nandi (Rev Financ Stud 13:585–625, 2000) and a variety of Lévy processes including the Variance Gamma (VG), Normal Inverse Gaussian (NIG), and, CGMY and Kou (Manag Sci 48:1086–1101, 2002) jump-diffusion models. Unlike most studies of option pricing, we compare these models using a common point-in-time data which reflects the perspective of a new investor who wishes to choose between models using only the most minimal recent data set. For each of these models, we also examine the accuracy of delta and delta-gamma approximations to the valuation of both individual options and an illustrative option portfolio.     

A jump-diffusion model for pricing corporate debt securities in a complex capital structure

This paper proposes a jump-diffusion model, in closed form, to price corporate debt securities, senior and junior, with the same maturity and violation of the absolute priority rule. We take the structural approach that the firm's asset value follows a jump-diffusion process in a stochastic interest rate economy. Default occurs only if the firm value at the maturity of the corporate debts is less than the sum of the prespecified face values. Unlike previous models in the structural approach, our model is consistent with the current term structures of credit spreads for both senior and junior debts. In particular, it captures realistic short maturity credit spreads observed in the market. The key idea is to allow the jump intensity to be a time-dependent function. As an application, valuation of credit spread options is presented.     

Option pricing under stock market cycles with jump risks: evidence from the S&P 500 index

Review of Quantitative Finance and Accounting - This study incorporates the Markov switching model with return jumps to depict the behavior of stock returns. Based on the daily Standard &...     

Option pricing for GARCH-type models with generalized hyperbolic innovations

In this paper, we provide a new dynamic asset pricing model for plain vanilla options and we discuss its ability to produce minimum mispricing errors on equity option books. Given the historical measure, the dynamics of assets being modeled by Garch-type models with generalized hyperbolic innovations and the pricing kernel is an exponential affine function of the state variables, we show that the risk-neutral distribution is unique and again implies a generalized hyperbolic dynamics with changed parameters. We provide an empirical test for our pricing methodology on two data sets of options, respectively written on the French CAC 40 and the American SP 500. Then, using our theoretical result associated with Monte Carlo simulations, we compare this approach with natural competitors in order to test its efficiency. More generally, our empirical investigations analyse the ability of specific parametric innovations to reproduce market prices in the context of an exponential affine specification of the stochastic discount factor.     

On pricing barrier control in a regime-switching regulated market

We study a pricing barrier control problem in a regime-switching regulated market. In doing so, we analyze a class of one-dimensional reflected regime-switching diffusion processes. Such diffusion models arise as the key approximating processes in a regulated financial market system with the presence of regime changes. Our main goal is to determine optimal pricing barriers as solutions of long-run average mean–variance optimization problems. More precisely, the optimal barrier, if exists, will be to maximize the long-run average expected return (i.e. steady-state mean) subject to a selected level of long-run average risk (i.e. steady-state variance).     

On option pricing in binomial market with transaction costs

Option replication is studied in a discrete-time framework with proportional transaction costs. The model represents an extension of the Cox-Ross-Rubinstein binomial option-pricing model to cover the case of proportional transaction costs for one risky asset with different interest rates on bank credit and deposit. Contingent claims are supposed to be 2-dimensional random variables. Explicit formulas for self-financing strategies are obtained for this case.Received: March 2004, Mathematics Subject Classification (2000): 62P05JEL Classification: G11, G13The authors are grateful to an anonymous referee for numerous helpful comments and to Yulia Romaniuk for final corrections. The paper was partially supported by grant NSERC 264186.     

Insider trading under trading ban regulation in China’s A-share market

This study examines the effects of China’s 2008 trading ban regulation on the insider trading of large shareholders in China’s A-share market.It finds no eviden...     

我国证券市场应适时推出国际板

2009年4月国务院发布<国务院关于推进上海加快发展现代服务业和先进制造业、建设国际金融中心和国际航运中心的意见>,将上海证券交易所国际板的推出提上议程.促进上海证券交易所的国际化,成为上海建设国际金融中心的重要内容.本文分析归纳了我国已经基本具备推出国际板的条件,对推出国际板的利弊进行了简要分析,提出加快推出国际板的对策性建议.     

Multi-market trading in the Eurodollar futures market

On March 18, 2004, the London International Financial Futures and Options Exchange launched trading in Eurodollar futures contracts in an attempt to compete with a U.S. rival, the Chicago Mercantile Exchange. The Chicago Mercantile Exchange responded to the challenge by introducing several policy changes that aided the transfer of its trading volume in Eurodollar futures from open outcry to the electronic trading platform, Globex, thereby retaining its market share. We compare trading volume, effective spread, and price discovery in Eurodollar futures at the Chicago Mercantile Exchange before and after the London International Financial Futures and Options Exchange began trading the same contract. We find a general increase in trading volume on Globex beginning October 2003, way before the London International Financial Futures and Options Exchange launched its contract. Globex provides greater price discovery than open outcry during the entire time period under study. Our research thus supports the global trend of conversion of traditional open outcry systems into electronic exchanges.     

Estimating liquidity premia in the Spanish government securities market

This paper investigates the presence of liquidity premia in the relative pricing of assets traded on the Spanish government securities market. First, a classification of bonds into four different categories based on their degree of liquidity is proposed. Second, liquidity premia are estimated introducing liquidity parameters in the estimation of the zero-coupon yield curve. Results suggest the existence of a liquidity premium for post-benchmark bonds (both strippable and non-strippable). The size of this premium is relatively small. In the case of pre-benchmark bonds, the lack of liquidity does not seem to be priced. It is also shown that these pricing discrepancies are robust to the impact of taxes on bonds.     

A discrete and a continuous-time model based on a technical trading rule

In this article we propose a model in discrete and continuoustime that incorporates explicitly a technical trading rule inthe specification of the volatility. The proposed discrete-timemodel is an alternative to GARCH-type processes. We derive conditionsfor the covariance and strict stationarity of the discrete-timeprocess and we study the estimation and inference problems.We also analyze the conditions under which the discrete-timeprocess converges in distribution to a diffusion process. Toillustrate the proposed model and compare it with the GARCHspecification, we analyze the daily closing stock prices oftwo major U.S. companies (Microsoft and Oracle), two stock indices(DAX and NASDAQ) and two U.S. Dollar exchange rates (Euro andSterling)     

积极参与市场交易共促外汇市场繁荣

2008年2月26日,中国外汇交易中心发布2007年度银行间外汇市场优秀做市商、优秀会员和优秀交易员名单。根据此次评选,交通银行荣获最佳交易规范奖、交易优秀奖两个奖项。该行自成为做市商以来,一直严格执行相关法规规定在外汇市场上诚实交易,其规范的做市行为值得肯定;在充分肯定外汇交易中心开展评优活动的同时,该行也对银行间外汇市场的发展提出相关建议。