A MULTINOMIAL APPROXIMATION FOR AMERICAN OPTION PRICES IN LÉVY PROCESS MODELS

This paper gives a tree-based method for pricing American options in models where the stock price follows a general exponential Lévy process. A multinomial model for approximating the stock price process, which can be viewed as generalizing the binomial model of Cox, Ross, and Rubinstein (1979) for geometric Brownian motion, is developed. Under mild conditions, it is proved that the stock price process and the prices of American-type options on the stock, calculated from the multinomial model, converge to the corresponding prices under the continuous time Lévy process model. Explicit illustrations are given for the variance gamma model and the normal inverse Gaussian process when the option is an American put, but the procedure is applicable to a much wider class of derivatives including some path-dependent options. Our approach overcomes some practical difficulties that have previously been encountered when the Lévy process has infinite activity.     

HOW TO CLEAR UP THE PENSIONS MESS

All three pillars of the British pensions system are crumbling. The basic state pension is unsustainable in its present form. Defined benefit occupational pension schemes are fast disappearing, and with them the retirement hopes of millions of workers. A further 3 million low-income earners are not saving enough for their retirement. And uncertainty about pensions choices is widespread. In each case the primary cause of the problem is governmental or regulatory failure. The paper makes eight general and four specific proposals for restoring the system.     

Hymer and Uneven Development Revisited: Foreign Direct Investment and Regional Inequalities

Picking up on one of Hymer's key contributions, this paper examinesthe impact that inward foreign direct investment (FDI) intothe UK has on the patterns of development, both within and acrossregions. Using a panel of data for the manufacturing sector,the paper illustrates that even where one isolates the effecton the domestic sector alone, inward investment acts to increasethe demand for skilled, relative to unskilled labour, and alsogenerates the expected agglomeration effects in terms of thedemand for capital investment. The paper then goes on to drawcertain policy comparisons between these findings and the desiredaim of attracting FDI, notably to increase demand for labourin those regions suffering structural unemployment, and secondlyto reduce the disparities between regions.     

What Is Fair? Experimental Evidence

There has been growing interest within the economics discipline in the role of equity concerns in the distribution of resources. This paper presents empirical evidence from controlled laboratory experiments where third-party decision makers allocate resources between two individuals. The experimental results indicate that subjects view a wide range of different allocations as the fair distribution of resources. However, regression analysis indicates that both treatment effects and a few demographic variables explain some of this variation in fairness concepts. Most significantly, decision makers rewarded subjects who earned their favorable positions, and the gender of the decision maker was an important predictor of the allocation chosen.     

Nonlinear dynamics and competing behavioral interpretations: Evidence from intra‐day FTSE‐100 index and futures data

Extant empirical research has reported nonlinear behavior within arbitrage relationships. In this article, the authors consider potential nonlinear dynamics within FTSE‐100 index and index‐futures. Such nonlinearity can be rationalized by the existence of transactions costs or through the interaction between informed and noise traders. They consider several empirical models designed to capture these alternative dynamics. Their empirical results provide evidence of a stationary basis term, and thus cointegration between index and index‐futures, and the presence of nonlinear dynamics within that relationship. The results further suggest that noise traders typically engage in momentum trading and are more prone to this behavior type when the underlying market is rising. Fundamental, or arbitrage, traders are characterized by heterogeneity, such that there is slow movement between regimes of behavior. In particular, fundamental traders act more quickly in response to small deviations from equilibrium, but are reluctant to act quickly in response to larger mispricings that are exposed to greater noise trader price risk. © 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26:343–368, 2006     

Bid‐ask spreads,volatility, quote revisions,and trades of thinly traded futures contracts

We investigate intraday bid‐ask spreads (BAS), volatility, and trading activity of thinly traded equity index futures contracts on the Singapore Exchange. Contrary to previous findings, we find a rather flat BAS pattern during the trading day. However, consistent with past findings, an increase in risk widens the spread and a higher trading activity reduces it. When trading occurs in a day, spreads are reduced. No significant difference in volatility between days with and without trades was detected. When trades occur, quote revisions increase, and it is positively related to the number of trades. An increase in the number of quote revisions increases the likelihood of a transaction, and when quotes are current, revisions that are accompanied by trades carry new information. We provide evidence that contracts that are thinly traded may possess liquidity attributes as long as their price quotes remain current. © 2003 Wiley Periodicals, Inc. Jrl Fut Mark 23:455–486, 2003