What if your dividend model accounted for uncertainty instead of ignoring it

Research tools for stochastic equity valuation

Most valuation frameworks assume dividends grow at a fixed rate. We know they do not. Our resources include published stochastic dividend growth models, full mathematical derivations, working code, historical validation reports, and implementation case studies. Everything is documented, versioned, and open to scrutiny. We do not sell courses or manage money. We publish what we have learned and invite you to test it.

Explore methods

Research papers, model templates, and implementation guides

Our resources are built for practitioners who need rigor, not marketing. Each item includes the full derivation, the code, and the validation report.

Published research papers

Peer-reviewed frameworks for stochastic dividend growth modeling with complete mathematical derivations and explicit assumptions.

Model implementation templates

Working code in Python with documented assumptions, clear variable names, and step-by-step execution paths.

Historical validation reports

Backtest results against real dividend data with documented failure modes, not cherry-picked successes.

Getting started with stochastic dividend modeling

Practical guidance for using our resources effectively, from first model run to independent validation.

Start with the assumptions

Before running any model, read the assumptions section carefully. A model is only as good as the conditions under which it was derived. We document these prominently so you can judge applicability before investing time.

Read assumptions Check data requirements Review limitations
Easy

Run the code before reading the paper

Our frameworks ship with working implementations. Run the code first to build intuition, then read the derivation to understand why it works. This order prevents getting lost in notation before seeing what the model actually produces.

Install dependencies Run baseline case Modify parameters
Medium

Validate against your own data

Our historical backtests use our datasets. The real test is whether the framework holds up against data you care about. Substitute your own dividend series and document where the model succeeds and where it breaks.

Prepare dataset Run backtest Document deviations
Hard
Read our methodology

Modeling terminology

A reference for the stochastic processes, dividend policy concepts, and quantitative finance terms used throughout our frameworks and documentation.
Process
A continuous-time stochastic process with independent increments that are normally distributed. It serves as the fundamental building block for modeling random dividend growth paths in continuous time.
Concept

The empirical tendency of dividend payout ratios and growth rates to return toward long-run historical averages after temporary deviations, modeled using processes like Ornstein-Uhlenbeck.

Method
A modeling approach where the parameters governing dividend growth change according to an unobserved state variable, typically estimated using hidden Markov models.
Method
A computational technique that generates thousands of random paths to approximate the probability distribution of future dividends, producing forecast intervals rather than point estimates.
Math

A fundamental result in stochastic calculus that describes how functions of stochastic processes evolve over time, essential for deriving solutions to dividend growth models.

Process
The statistical process of fitting model parameters to historical data using maximum likelihood, Bayesian inference, or method of moments, always reported with standard errors.
Concept
The property that the future evolution of a dividend process depends on its entire history, not just its current value, making simple deterministic projections inadequate.
Document
A documented assessment of model performance against historical data the model was not trained on, including explicit failure modes and conditions under which accuracy degrades.
Math
A differential equation in which one or more terms is a stochastic process, providing the mathematical formalism for modeling dividend growth under uncertainty.
Concept
The full probability distribution of possible future dividend outcomes, as opposed to a single point estimate, enabling quantification of uncertainty in valuation decisions.