Analytic Pricing of Employee Stock Options

We introduce a model that captures the main properties thatcharacterize employee stock options (ESO). We discuss the likelihoodof early voluntary ESO exercise, and the obligation to exerciseimmediately if the employee leaves the firm, except if thishappens before options are vested, in which case the optionsare forfeited. We derive an analytic formula for the price ofthe ESO and in a case study compare it to alternative methods.     

Analyzing the Tax Benefits from Employee Stock Options

Employees tend to exercise stock options when corporate taxable income is high, shifting corporate tax deductions to years with higher tax rates. If firms paid employees the same dollar value in wages instead of stock options, the average annual tax bill for large U.S. companies would increase by $12.6 million, or 9.8%. These direct tax benefits of options increase in the convexity of the tax function. In addition, profitable firms can realize indirect tax benefits because stock options increase debt capacity. Although tax minimization is probably not the main motive for option grants, firms with larger potential tax benefits grant more options.     

Employee Stock Options, Corporate Taxes, and Debt Policy

We find that employee stock option deductions lead to large aggregate tax savings for Nasdaq 100 and S&P 100 firms and also affect corporate marginal tax rates. For Nasdaq firms, including the effect of options reduces the estimated median marginal tax rate from 31% to 5%. For S&P firms, in contrast, option deductions do not affect marginal tax rates to a large degree. Our evidence suggests that option deductions are important nondebt tax shields and that option deductions substitute for interest deductions in corporate capital structure decisions, explaining in part why some firms use so little debt.     

不确定性、股权激励与非效率投资

文章在考察环境不确定性对上市公司投资行为影响的基础上,分析了股权激励计划对这一相关关系的影响机制和作用效果,结果发现:企业所面临的环境不确定性会降低企业投资效率,导致过度投资或投资不足。而股权激励措施对不确定环境引起的管理者非效率投资行为有抑制作用。本文研究结果表明,股权激励制度有助于减少环境不确定性导致的代理矛盾,抑制过度投资,也有助于降低企业管理者风险的厌恶程度,缓解投资不足。     

Convertible Securities,Employee Stock Options and the Cost of Equity

We provide a method for calculating the cost of equity and the cost of capital in the presence of convertible securities and employee stock options. We demonstrate how this approach can be applied if a company already has issued convertible claims or if it is considering doing so for the first time. We provide several numerical examples illustrating the significance of errors in estimating the cost of capital that can result when (1) employee stock options are ignored or (2) the observable stock price is used as a proxy for the unobservable underlying asset.     

Real Investment Implications of Employee Stock Option Exercises

This paper examines a real cost of awarding employee stock options. Based on the observation that managers are extremely concerned about earnings-per-share dilution in equity related compensation, we predict and find that firms experiencing significant employee stock option (ESO) exercises shift resources away from real investments towards the repurchase of their own stocks. We further find weak evidence of a decline in subsequent firm performance (as measured by return on assets) for several years following the cut in discretionary investments as a result of stock option exercises, though this result is sensitive to the metric used to measure performance. Collectively, our findings indicate that ESO exercises potentially impose a real cost on the firm in terms of foregone investment opportunities.     

Accelerated Vesting of Employee Stock Options in Anticipation of FAS 123-R

In December 2004, the Financial Accounting Standards Board (FASB) mandated the use of a fair value–based measurement attribute to value employee stock options (ESOs) via Financial Accounting Standard (FAS) 123-R. In anticipation of FAS 123-R, between March 2004 and November 2005, several firms accelerate the vesting of ESOs to avoid recognizing existing unvested ESO grants at fair value in future financial statements. We find that the likelihood of accelerated vesting is higher if (1) acceleration has a greater effect on future ESO compensation expense, especially related to underwater options, and (2) firms suffer greater agency problems, proxied by fewer blockholders, lower pension fund ownership, and top five officers holding a greater share of ESOs. We also find a negative stock price reaction around the announcement of the acceleration decision. Furthermore, stock returns are significantly negative before the new vesting dates and positive afterward, suggesting that vesting dates could have been backdated.     

A Proposal for Expensing Employee Compensatory Stock Options for Financial Reporting Purposes

This article presents an accounting approach for employee stock options based on the insight that the currentperiod compensation expense should reflect only that part of the option value that is earned independent of the obligation of continued employment. Given that the maturity of vested options is typically shortened to 90 days when an employee resigns or is terminated, this method views the employee as owning a 90-day option (even if the stated maturity of the option is ten years) and earning a 90-day extension to that option each quarter as a result of the employee's continued employment. In the case of vested options, the compensation expense in each quarterly accounting period is thus the value of the 90-day extension of the option's maturity. There is no option expense in the quarter when the option is either exercised or expires.
In the case of unvested options, the expected option value at vesting should be estimated quarterly starting at the time of grant and the corresponding estimated expense should be revised and allocated as a pro rata accrual each quarter over the vesting period. The cumulative expense over the entire vesting period will equal the fair market value of the option at its vesting date.
Besides reflecting the economics of the exchange of value for labor involved in stock option grants, this approach has a number of practical advantages:

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  The 90-day maturity permits the use of publicly traded options to determine fair market value and makes Black-Scholes and other (lattice) pricing models more reliable.

       
  
  

Executive Stock Options

Abstract

As a part of the compensation package many companies provide executives with executive stock options, which are call options with additional restrictions. They provide some financial advantages to the executives and help the company retain the service of the executives who improve the company’s earnings and management.

Until recently the values of the executive stock options were not required to be disclosed in the company?s financial reports. But recent statements from the Financial Accounting Standards Board (FASB) have made it necessary to value these executive stock options. The valuation of executive stock options is also required for investors and financial practitioners. This paper considers the award of performance-based executive stock options when the stock price at the time of stock option award exceeds a given preassigned value. It is assumed that the stock price follows a geometric Brownian motion, and that the number of stock options awarded at any time depends on the stock price at that time.

A valuation formula is derived using the method of Esscher transforms for a multiyear award plan. The closed-form formula derived is similar to the Black-Scholes formula for options and utilizes the standard bivariate normal distribution function, which is available in statistical software. In this paper the number of stock options awarded is assumed to be in a specific form, but the theory presented can be modified to suit other forms of award structure. Moreover, by suitable choice of parameters, a valuation formula is also presented for the award of fixed-value executive stock options grants; this formula is also in a closed form and involves cumulative distribution values of the standard normal random variable. Numerical illustrations of the use of the valuation formulas are presented.     

Accounting For Employee Share Options

Accounting for employee share options (ESOs) has caused a furore in the United States. Understandably, Australian standard-setters are moving cautiously but have signalled they may follow the FASB's lead. ESOs are a major form of executive remuneration but have not usually been recognised in the employer's financial statements unless and until they are exercised. The FASB has proposed that ESOs be valued on their grant date and immediately recognised as an asset (prepaid compensation) and additional shareholders' equity (options outstanding); the asset is then to be amortised over the period in which the employee's services are received. We describe and comment on the debate, in the light of the proposal's likely impact on firms' financial profiles.     

Employee Stock Options, Equity Valuation, and the Valuation of Option Grants Using a Warrant-Pricing Model

We investigate the use of a warrant‐pricing approach to incorporate employee stock options (ESOs) into equity valuation and to account for the dilutive effect of ESOs in the valuation of option grants for financial reporting purposes. Our valuation approach accounts for the jointly determined nature of ESO and shareholder values. The empirical results show that our stock price estimate exhibits lower prediction errors and higher explanatory powers for actual share price than does the traditional stock price estimate. We use our valuation approach to assess the implications of dilution on the fair‐value estimates of ESO grants. We find that the fair value is overstated by 6% if we ignore the dilutive feature of ESOs. Furthermore, this bias is larger for firms that are heavy users of ESOs, small, and R&D intensive, and for firms that have a broad‐based ESO compensation plan.     

Stock Options as Lotteries

We investigate the relationship between ex ante total skewness and holding returns on individual equity options. Recent theoretical developments predict a negative relationship between total skewness and average returns, in contrast to the traditional view that only coskewness is priced. We find, consistent with recent theory, that total skewness exhibits a strong negative relationship with average option returns. Differences in average returns for option portfolios sorted on ex ante skewness range from 10% to 50% per week, even after controlling for risk. Our findings suggest that these large premiums compensate intermediaries for bearing unhedgeable risk when accommodating investor demand for lottery‐like options.     

An IFRS 2 and FASB 123 (R) Compatible Model for the Valuation of Employee Stock Options

In this paper, we show how employee stock options can be valued under the new reporting standards IFRS 2 and FASB 123 (revised) for share-based payments. Both standards require companies to expense employee stock options at fair value. We propose a new valuation model, referred to as Enhanced American model, that complies with the new standards and produces fair values often lower than those generated by traditional models such as the Black–Scholes model or the adjusted Black–Scholes model. We also provide a sensitivity analysis of model input parameters and analyze the impact of the parameters on the fair value of the option. The valuation of employee stock options requires an accurate estimation of the exercise behavior. We show how the exercise behavior can be modeled in a binomial tree and demonstrate the relevance of the input parameters in the calibration of the model to an estimated expected life of the option. JEL Classification G13, G30     

员工薪酬竞争力与上市公司员工持股

基于员工持股相关理论,本文考察了员工薪酬竞争力对我国上市公司是否实施员工持股的可能影响。实证结果显示,员工薪酬竞争力越弱,企业越可能实施员工持股;且员工薪酬竞争力越弱,员工持股的锁定期限越长、覆盖人数越多以及员工股比例越高。进一步研究发现,员工薪酬竞争力与实施员工持股可能性的负相关关系,只在外部劳动力市场流动性高和内部人力资源成本较高以及融资约束较为严重的样本中显著。上述研究发现表明,上市公司的员工持股在一定程度上是企业在面临外部劳动力市场流动性压力和内部较高人力资源成本以及融资约束时,缓解员工薪酬竞争力不足的现实途径。本文的研究结论为完善上市公司员工持股制度提供了经验证据支持,同时拓展了员工持股、职工薪酬及收入分配等领域的相关研究文献。     

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.     

Employee Stock Option Exercise and Firm Cost

We develop an empirical model of employee stock option exercise that is suitable for valuation and allows for behavioral channels. We estimate exercise rates as functions of option, stock, and employee characteristics using all employee exercises at 88 public firms, 27 of them in the S&P 500. Increasing vesting frequency from annual to monthly reduces option value by 11% to 16%. Men exercise faster, reducing value by 2% to 4%, while top employees exercise slower, increasing value by 2% to 7%. Finally, we develop an analytic valuation approximation that is more accurate than methods used in practice.     

员工持股计划与企业创新

本文以2014-2017年我国沪深A股上市公司为研究样本,对上市公司实施员工持股计划与企业创新之间的关系进行了探讨。研究发现,相比未实施员工持股计划的上市公司,实施了员工持股计划的上市公司创新产出更高,员工持股计划有利于促进企业创新。进一步地,员工持股计划持有人数越多,资金规模越大,资金来源于员工薪酬及自筹资金,高管认购比例越高,锁定期越长,越能增加企业发明专利和实用新型专利申请数量,提升创新能力。员工持股计划主要通过降低代理成本、提高企业风险承担能力来促进企业创新。与国有企业相比,非国有企业实施员工持股计划更能增加企业创新产出。论文的研究结论为提高企业创新能力,建设创新型国家提供了经验证据。