ACCOUNTING FOR RISK AVERSION, VESTING, JOB TERMINATION RISK AND MULTIPLE EXERCISES IN VALUATION OF EMPLOYEE STOCK OPTIONS

We present a valuation framework that captures the main characteristics of employee stock options (ESOs), which financial regulations now require to be expensed in firms' accounting statements. The value of these options is much less than Black–Scholes prices for corresponding market-traded options due to the suboptimal exercising strategies of the holders, which arise from risk aversion, trading and hedging constraints, and job termination risk. We analyze the combined effect of all of these factors along with the standard ESO features of multiple exercising rights, and vesting periods. This leads to the study of a chain of nonlinear free-boundary problems of reaction-diffusion type. We find that job termination risk, vesting, finite maturity and non-zero interest rates are significant contributors to the ESO cost. However, we find that in the presence of vesting, the impact of allowing multiple exercise rights on ESO cost is negligible.     

ELUSIVE PERSISTENCE: WAGE AND PRICE RIGIDITIES,THE NEW KEYNESIAN PHILLIPS CURVE AND INFLATION DYNAMICS

Abstract We review the main New Keynesian inflation equations that have arisen as a result of aggregation from individual firms' price rigidities. We find that, on the whole, they cannot account for inflation persistence, a key feature of the empirical dynamics of inflation, and with important policy implications. The only exceptions seem to be when indexation is allowed in price setting or when price stickiness is combined with wage rigidity and staggering.     

一类非单调二元算子方程解的存在唯一性

利用锥理论和非对称迭代方法,讨论了一类非单调二元算子方程解的存在唯一性,给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果的改进和推广。     

关于常微分方程教学探索

常微分方程是高等教育的核心基础课程的一部分重要内容,是进一步学习泛函分析,偏微分方程,稳定性理论和控制论等方向的入门学科,具有很强的理论性与应用性的背景,因此,对该部分的教学的教师有责任进行教学设计与探索,以期取得令人满意的教学效果。     

On a property of the sequential t-test

Abstract

1. Introduction. In one of his papers [1], and later in his book on sequential analysis [2], Wald introduced a general method for constructing sequential tests of composite hypotheses and applied the method to construct a sequential t-test. Since Wald devoted a considerable amount of space and mathematics on his t-test, it has been taken for granted that he proved certain optimum properties of the test. It is the purpose of this note to show that the test cannot possess one of the properties thought to hold for it.     

Optimal investment-reinsurance with dynamic risk constraint and regime switching

We study an optimal investment–reinsurance problem for an insurer who faces dynamic risk constraint in a Markovian regime-switching environment. The goal of the insurer is to maximize the expected utility of terminal wealth. Here the dynamic risk constraint is described by the maximal conditional Value at Risk over different economic states. The rationale is to provide a prudent investment–reinsurance strategy by taking into account the worst case scenario over different economic states. Using the dynamic programming approach, we obtain an analytical solution of the problem when the insurance business is modeled by either the classical Cramer–Lundberg model or its diffusion approximation. We document some important qualitative behaviors of the optimal investment–reinsurance strategies and investigate the impacts of switching regimes and risk constraint on the optimal strategies.     

Regression Analysis under Probabilistic Multi‐Linkage

Linkage errors can occur when probability‐based methods are used to link records from two distinct data sets corresponding to the same target population. Current approaches to modifying standard methods of regression analysis to allow for these errors only deal with the case of two linked data sets and assume that the linkage process is complete, that is, all records on the two data sets are linked. This study extends these ideas to accommodate the situation when more than two data sets are probabilistically linked and the linkage is incomplete.     

A Primer on Moderated Mediation Analysis: Exploring Logistics Involvement in New Product Development

Theorizing and empirically testing moderated mediation hypotheses allows logistics and supply chain management (L&SCM) scholars to extend the boundaries of our current understanding by examining how, when, and why relationships arise between constructs central to our theories. However, while moderated mediation analyses can enrich theory in L&SCM, they are few in number, likely due to the complexities associated with their execution. In this article, we provide a didactic treatment for executing moderated mediation analysis. We do so using primary data regarding logistics involvement in new product development. In the hopes of spurring greater application of moderated mediation in L&SCM, we devise a series of recommendations that guide scholars through the process of conducting such analyses. These recommendations extend prior treatments by explaining how to address challenges associated with devising theories to undergird moderated mediation hypotheses, measuring constructs using multiple indicators, providing guidance for detecting influential cases that can unduly affect results, and integrating what results should be reported.