American-style Indexed Executive Stock Options

This paper develops a new pricing model for American-style indexed executive stock options. We rely on a basic model framework and an indexation scheme first proposed by Johnson and Tian (2000a) in their analysis of European-style indexed options. Our derivation of the valuation formula represents an instructive example of the usefulness of the change-of-numeraire technique. In the paper's numerical section we implement the valuation formula and demonstrate that not only may the early exercise premium be significant but also that the delta of the American-style option is typically much larger than the delta of the otherwise identical (value-matched) European-style option. Vega is higher for indexed options than for conventional options but largely independent of whether the options are European- or American-style. This has important implications for the design of executive compensation contracts. We finally extend the analysis to cover the case where the option contracts are subject to delayed vesting. We show that for realistic parameter values, delayed vesting leads only to a moderate reduction in the value of the American-style indexed executive stock option.     

Investment Opportunities and the Relation Between Equity Value and Employees' Bonus

A sample of firms where employee stock options and other long‐term incentives are absent but an annual bonus is required is examined. A positive relation is found between firm equity value and stock bonus but not cash bonus. The positive relation is stronger when the firm has greater investment opportunities. Additionally, the relation is shown to be nonlinear in the sense that the marginal effect of stock bonus on equity value is positive but decreasing (negative) when the stock bonus is below (above) the breakpoint. Overall, the annual stock bonus is valued positively by investors even though it is linked to the firm's contemporaneous but not future performance.     

发展现代物流产业 构建武汉区域性商业分销体系

根据武汉市“十五”规划 ,武汉华中物流中心建设将进入实施阶段 ,它对武汉商贸产业的发展影响深刻 ,从战略层次上构建武汉商贸物流分销体系成为必然     

OPTIONS AND EFFICIENCY IN MULTIDATE SECURITY MARKETS

This paper extends the work of Ross (1976; Q. J. Econ. (90)1, 75–89) to multidate security markets. First, we show that if a primitive security separates states at the terminal date, then there exist multiperiod European options on that security generating dynamically complete markets. Second, we show that if a primitive security conditionally separates states at the terminal date, then there exist multiperiod European options on that security generating generically dynamically complete markets provided that certain conditions hold. Third, we show that there are economies for which the minimum number of multiperiod European options on a primitive security generating generically dynamically complete markets is relatively large. Finally, we show that in these economies, a relatively small number of multiperiod European options on possibly different portfolio strategies of primitive securities generates generically dynamically complete markets.     

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.     

On Sraffa's Standard commodity: is its price invariant with respect to changes in income distribution?

In his 1960 book, Sraffa suggested using a composite commodity,which he called the ‘Standard commodity’, to solveRicardo's search for an invariable measure of value, i.e., astandard capable of isolating the price movements of any othercommodity induced by changes in income distribution. The absencein Sraffa's book of an explicit proof of the invariance propertyof this standard gave rise to many misunderstandings about itsmeaning and its role as an invariable measure of value. In orderto clear up these questions, Bellino (On Sraffa's Standard commodity,Cambridge Journal of Economics, vol. 28, 121–32, 2004)has proposed a ‘proper’ definition of an ‘invariablemeasure of value’, showing that Sraffa's Standard commoditydoes fulfil the requirements of this definition. He claims thatthe fulfilment of this property (but not the constancy of its‘nominal’ price) qualifies the Standard commodityas an invariable measure of value. In this paper, a proof ofthe invariance of the price of the Standard commodity with respectto changes in income distribution is given, and the equivalenceof this property with Bellino's definition of invariance isshown.     

Equilibria in large economies with a separable Banach commodity space and non-ordered preferences

The purpose of this paper is to provide an existence result of equilibria for economies with a measure space of agents, a non-trivial production sector and an infinite dimensional commodity space. The commodity space is modeled by an ordered separable Banach space whose positive cone has a non-empty interior. The discretization approach proposed in this paper, allows us to extend the existence results in Khan and Yannelis [Equilibrium in markets with a continuum of agents and commodities. In: Khan, M.A., Yannelis, N.C. (Eds.), Equilibrium Theory in Infinite Dimensional Spaces. Springer, Berlin, 1991] and Podczeck [Economic Theory 9 (1997) 585] to economies with a non-trivial production sector and with possibly non-ordered but convex preferences as well as partially ordered (possibly incomplete) but non-convex preferences.     

Last resort gambles, risky debt and liquidation policy

This paper develops a real option model in which the interaction between debt, liquidation policy and risky investments is studied. We consider a manager who owns the firm and faces the opportunity to invest in risky projects which may boost current profits at the cost of bankruptcy if they turn out to be unsuccessful. These investments are “last resort gambles” in the sense that, if successful, they save the company from insolvency, while, if unsuccessful, they make liquidation unavoidable. It is shown that last resort gambles delay liquidation. We study how the liquidation trigger and the last resort investment decisions are affected by the firm's capital structure.     

Reforming the Direct–Indirect Tax Mix

This paper provides a new framework for evaluating the welfare effects of commodity tax reforms. It is shown that tax reforms are welfare improving if and only if they satisfy the following intuitive property: on average, consumer prices fall for commodities with high marginal excess burdens. The rule is then applied to analyze a shift from differentiated commodity taxation to direct flat-rate taxation of labour income. The welfare impact of such reforms can be decomposed into two effects: (i) the increase in welfare associated with substitution among taxed commodities, and (ii) the loss in welfare associated with substitution between commodities and leisure. On balance, a shift towards direct taxation is desirable when inter-commodity substitution effects are large relative to commodity–leisure substitution effects. The analysis allows us to reconcile the apparently conflicting results of the tax reform and optimal taxation literatures.