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宇惟 · 2024年08月25日

为什么是4年而不是用平均的5年

NO.PZ2023040501000062

问题如下:

On January 1, 2011, the company granted 50,000 options on its common shares to its top managers. The options have the following features:

The exercise price for all company stock options is the stock price on the date of the grant.

Options cannot be exercised for 4 years and expire in 10 years from the grant date.

Based on prior experience, it is estimated that options are exercised, on average, in five years.

The related compensation expense is reported in selling and administrative expenses.

Exhibit 3 contains stock information and estimated option prices during 2011; option prices are estimated using the Black–Scholes model using assumptions contained in the Notes to the Financial Statements.


The compensation expense for 2011 arising from the executive stock options granted in 2011 is closest to:

选项:

A.

$43,800.

B.

$54,750.

C.

$76,625.

解释:

这里在计算时间的时候,为什么÷4年,而不是题干中平均的5年

1 个答案
已采纳答案

王园圆_品职助教 · 2024年08月25日

同学你好,“Options cannot be exercised for 4 years and expire in 10 years from the grant date.

Based on prior experience, it is estimated that options are exercised, on average, in five years.”

请看上面题目的表述,首先,我们计算option compensation expense的时候,用的是vesting period 作为分母来计算的,而不是exercise date到grant date之间的日期

所以这里的4年是option不能被行权直到4年结束的意思,这才是 vesting period的定义——在vesting期间绝对不能行权

由于option被vest后也可以持有一段时间等待合适价格再exercise,而option即便被vest以后,可能股价低于执行价之类的原因,所以员工不会立刻行权,所以这里的5年是员工平均真正行权的时间,是上面exercise date到grant date之间的日期,不是vesting period的概念

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