The valuation of executive stock options under garch models

Xingchun WANG, Zhiwei SU, Guangli XU

Research output: Journal PublicationsJournal Article (refereed)peer-review

3 Citations (Scopus)

Abstract

In this paper, we investigate executive stock options with endogenous departure and time-varying variances. We use a Generalized Autoregressive Conditional Heteroskedasticity process to capture the variance process of the log stock price. In addition, we take into consideration the departure risk of the executive and assume that the probability of remaining employed has a power form of stock price ratios. After deriving the closed-form pricing formulae of executive stock options, we illustrate the effects of the departure risk on the values of executive stock options.

Original languageEnglish
Pages (from-to)409-433
Number of pages25
JournalProbability in the Engineering and Informational Sciences
Volume32
Issue number3
Early online date11 Aug 2017
DOIs
Publication statusPublished - 1 Jul 2018
Externally publishedYes

Bibliographical note

Publisher Copyright:
© Cambridge University Press 2017.

Keywords

  • departure risk
  • endogenous departure
  • executive stock options
  • GARCH models

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