標題: Pricing barrier stock options with discrete dividends by approximating analytical formulae
作者: Dai, Tian-Shyr
Chiu, Chun-Yuan
資訊管理與財務金融系 註:原資管所+財金所
Department of Information Management and Finance
關鍵字: Barrier option;Derivative pricing;Discrete dividend;First-passage model
公開日期: 2014
摘要: Deriving accurate analytical formulas for pricing stock options with discrete dividend payouts is a hard problem even for the simplest vanilla options. This is because the falls in the stock price process due to discrete dividend payouts will significantly increase the mathematical difficulty in pricing the option. On the other hand, much literature uses other dividend settings to simplify the difficulty, but these settings may produce inconsistent pricing results. This paper derives accurate approximating formulae for pricing a popular path-dependent option, the barrier stock option, with discrete dividend payouts. The fall in stock price due to dividend payout at an exdividend date t is approximated by an accumulated price decrement due to a continuous dividend yield up to time t. Thus, the stock price process prior to time t and after time t can be separately modelled by two different lognormal-diffusive stock processes which help us to easily derive analytical pricing formulae. Numerical experiments suggest that our formulae provide more accurate and coherent pricing results than other approximation formulae. Our formulae are also robust under extreme cases, like the high volatility (of the stock price) case. Besides, our formulae also extend the applicability of the first-passage model (a type of structural credit risk model) to measure how the firm\'s payout influences its financial status and the credit qualities of other outstanding debts.
URI: http://hdl.handle.net/11536/24955
http://dx.doi.org/10.1080/14697688.2013.853319
ISSN: 1469-7688
DOI: 10.1080/14697688.2013.853319
期刊: QUANTITATIVE FINANCE
Volume: 14
Issue: 8
起始頁: 1367
結束頁: 1382
顯示於類別:期刊論文


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