
An Integrated Valuation and Risk Modelling approach to Dynamic DCF and Real Options
October 22 – 24, 2025
Golden, CO
2025 Course Outline
Day 1 – Morning.
Introductory comments. A project valuation framework. Valuation fundamentals.
- Creating value in the natural resource industries
- Three elements of a valuation model
- Project structure – cash flow, design flexibility, stakeholders
- Project uncertainty – financial, technical, execution
- Measuring investment quality – NPV (DCF and real options), IRR, PI
- Measuring investment risk – cash flow CoV, event probabilities, expected / conditional losses
- A technical / financial risk investment framework
Example: Copper World Project – a static investment analysis of the Copper World project
Example: Blackwater Gold Project – a static investment analysis of the New Gold and Artemis design proposals Example: Skouries Copper-Gold Project – a static investment analysis of the Skouries Copper-Gold Project
Day 1 – Afternoon.
Metal price models. Simulating metal prices.
- Characterizing commodity price uncertainty
- Financial market information vs metal price forecasts
- Stochastic price models for precious metals and base metals
- Rebuilding a corporate forecast as a stochastic price model
Example: Building a stochastic price model in Excel - Converting a stochastic price model into Monte Carlo simulation
- Simulating metal prices with @Risk
Example: Building correlated gold and copper simulation models in Excel with @Risk
Day 2 – Morning.
Analyzing projects with no flexibility. Non-linear cash flows.
- Modelling cash flows when there is no flexibility
- Corporate income taxes and financing default risk as non-linear cash flows
- Example: “Faux” financing of the Duparquet Project – introducing default risk non-linearities.
- Summarizing project production and cash flow information – cash low profiles, LOM cash flow amounts, unit costs and metal equivalents
- Example: Copper World Project– dynamic investment analysis of a long-life copper project
Example: Blackwater Gold Project – dynamic investment analysis of the New Gold and Artemis design proposals Example: Skouries Copper-Gold Project – dynamic investment analysis of the Skouries Copper-Gold Project
Day 2 – Afternoon.
Introduction to flexibility. Binomial techniques. Least squares analysis of flexible cash flows
- Different approaches to measuring risk – graphical, cash flow at risk, conditional tails analysis
- Converting a simulation into a binomial tree
- Approximating a price process with a binomial tree
- Developing true and risk-adjusted probability price trees
Example: Building a binomial price tree in Excel - Modelling flexible projects and types of flexibility
- Decision trees
- Using the Excel Binomial Real Options / DCF Valuation Add-in
Example: A simple binomial model valuing satellite resources and a pushback at a mature mine.
Day 3 – Morning.
Valuing flexible projects and assessing their risk.
- A flexible binomial tree analysis of the Copper World, Blackwater, and Skouries Projects
- Least squares / polynomial regression approach to simulating flexible projects
- Flexibility maps
- Least squares / polynomial regression analysis of the Satellite Resource, Copper World, Blackwater, and Skouries Projects
Day 3 – Afternoon.
Valuing natural resource projects with flexibility.
Example: Skouries Copper-Gold Project – the value and risk impact of staged development across a range of copper/gold variations and project margins
- Dynamic cash flow modelling frontiers – technical risk and exploration
- Dynamic cash flow modelling frontiers – project finance
- Dynamic cash flow modelling frontiers – corporate portfolios
- Course wrap-up