Stochastic Proportional Dividends

22 Pages Posted: 12 Nov 2010 Last revised: 19 Nov 2018

Date Written: December 1, 2010


Motivated by recently increased interest in trading derivatives on dividends, we present a simple, yet efficient equity stock price model with discrete stochastic proportional dividends.

The model has a closed form for European option pricing and can therefore be calibrated efficiently to vanilla options on the equity. It can also be simulated efficiently with Monte-Carlo and has fast analytics to aid the pricing of derivatives on dividends.

While its efficiency makes the model very appealing, it has the twin drawbacks that dividends in this model can become negative, and that it does not price in any skew on either dividends or the stock price.

We present the model and also discuss various extensions to stochastic interest rates, local volatility and jumps.

(The 2012 revision corrects a minor mistake in the original paper)

Keywords: Options on Dividends, Stochastic Dividends, Dividend Yield, Dividend-Linked Derivatives

JEL Classification: G12

Suggested Citation

Buehler, Hans and Dhouibi, Anissa Stephanie and Sluys, Dimitri, Stochastic Proportional Dividends (December 1, 2010). Available at SSRN: or

Hans Buehler (Contact Author)

XTX Markets ( email )

14-18 Handyside Street
London, Greater London N1C 4DN
United Kingdom


Anissa Stephanie Dhouibi

JP Morgan Chase ( email )

United Kingdom

Dimitri Sluys

JPMorgan Chase ( email )

2 Aldermanbury
London, EC2V 7RF
United Kingdom

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