Estimating Dividend Payments From Stock Prices and Dividend History

Summary

The discussion considers whether a company’s annual dividend can be modeled as a function of its stock price. The response suggests grounding assumptions in behavioral finance and dividend theory, particularly the idea that investors favor relatively smooth dividend payments. That preference implies dividend persistence and supports starting with a regression on lagged dividend payments.

The original question proposes an upper bound tied to the stock price and asks whether the relationship should be monotonic. The answer adds that a lower bound might be estimated for some reporting regimes, but it does not establish general mathematical properties for the function or show an empirical model. Its recommendation is therefore a starting point for investigation, not evidence that stock price alone predicts dividends. The cited survey is offered as background; the response gives no sample design, regression specification, or validation approach.

Key ideas

• Dividend theory and behavioral finance can inform assumptions about dividend dynamics.
• Investor preference for smooth payments suggests that dividends may be persistent over time.
• A simple first model can regress current dividends on lagged dividend payments.
• The response suggests that practical reporting regimes may imply a lower bound for dividends.
• The answer does not establish that dividends are monotonic in stock price or provide empirical validation.

Tags

# Dividend as a function of stock


# Dividend as a function of stock












Let's say I have a stock that pays dividend once a year. I know how much did it pay in 2014, and at which level was stock trading when the dividend decision was made. I'd like to use these data to estimate dividend of 2015 as a function of the stock price: $D = f(S)$. Clearly, $f(S) \leq S$ and a naive assumption would be that $f$ is monotonic. Is there any research done on this topic, I mean what are other natural properties $f$ shall have, and examples of it?

## Answer by Stefan Voigt (score 3)

https://quant.stackexchange.com/a/18394

As a first Idea I would propose to incorporate basic ideas of Behavioural Finance and Dividend Theory into your considerations; for reference, look at:

> Baker, Malcolm, and Jeffrey Wurgler. Behavioral corporate finance: An updated survey. No. w17333. National Bureau of Economic Research, 2011.

They state that investors prefer rather smooth dividend payments, this should indicate an high persistence.

This reasoning could be enough to start with a simple regression of the lagged dividend payments. You already stated a upper limit of the payoff function, a lower limit can also be approximated at least for several reporting regimes.

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