A Mathematical Structure of the Firm Value When Stock Options are Issued

Ryozo Miura, M. Ishii
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Abstract

In this paper, we mathematically formalize the structure of the firm value when stock options are issued. Using the result, we show that the wealth of the stock holders do not transfer to the stock option holders at the maturity of the stock option ,and that the stock option gives the stock option holders the incentive for better firm's performance which brings the stock holders the more profit.
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股票期权发行时公司价值的数学结构
本文从数学上形式化了股票期权发行时公司价值的结构。利用这一结果,我们证明了股票持有者的财富在股票期权到期时不会转移到股票期权持有者身上,股票期权激励股票期权持有者追求更好的公司业绩,从而给股票持有者带来更多的利润。
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