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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