Advanced Academic Budget Scenario Simulation Framework

Construct a multi-dimensional Excel budget simulation framework for educational institutions, capable of modeling complex financial scenarios with dynamic input variables. Develop a sophisticated Monte Carlo simulation module that can generate probabilistic budget projections based on multiple uncertain variables like enrollment, grants, operational costs, and staffing. Create interactive dashboards with real-time scenario comparison, including sensitivity analysis and risk assessment visualizations. Implement advanced financial modeling techniques using nested IF statements and probabilistic forecasting.