Archive of the autumn 2025 course. This course has ended. The template projects described on this site (RiskCalc, PyMort, EconGames, QSim, SimCLT) are not offered in 2026. The 2026 course is Data Science and Advanced Programming.

SIMCLT: Chain-Ladder Reserving Simulator

Actuarial Science Insurance Monte Carlo Statistics

Overview

Build a Monte Carlo simulation toolkit for insurance claim reserving using the Chain-Ladder method. This project focuses on implementing sophisticated statistical methods for actuarial science applications.

What You’ll Build

A comprehensive reserving simulator that:

  • Implements the classical Chain-Ladder method
  • Provides Monte Carlo simulation capabilities
  • Quantifies uncertainty in reserve estimates
  • Offers interactive analysis tools

Key Learning Objectives

  • Statistical Programming: Implement advanced statistical algorithms
  • Monte Carlo Methods: Master simulation techniques for uncertainty quantification
  • Actuarial Science: Apply mathematical methods to real-world insurance problems
  • Software Architecture: Design modular, testable statistical software

Core Features to Implement

Chain-Ladder Engine

  • Age-to-age factor calculations
  • Development pattern analysis
  • Ultimate claims projection
  • Reserve estimation

Monte Carlo Simulation

  • Bootstrap resampling methods
  • Parametric simulation approaches
  • Confidence interval estimation
  • Risk metrics calculation

Analysis Tools

  • Interactive parameter adjustment
  • Scenario analysis capabilities
  • Validation against known results
  • Comprehensive reporting

Technical Challenges

  • Numerical Stability: Handle edge cases in statistical calculations
  • Performance: Optimize for large-scale simulations
  • Validation: Ensure mathematical correctness
  • Usability: Create intuitive interfaces for actuarial users

Domain Knowledge Required

  • Basic understanding of insurance and claims
  • Statistical concepts (distributions, confidence intervals)
  • Monte Carlo simulation principles
  • No prior actuarial experience needed

Assessment Focus

  • Statistical Correctness: Proper implementation of actuarial formulas
  • Code Quality: Clean, well-tested statistical software
  • Performance: Efficient handling of large datasets
  • Documentation: Clear explanation of mathematical methods

Getting Started

  1. Accept the project and form your team (3-4 students)
  2. Clone the template repository for project scaffold
  3. Review the brief in docs/projects/SIMCLT.md for detailed requirements
  4. Study background materials on Chain-Ladder methods

Resources

  • Chain-Ladder method academic papers
  • Insurance claims datasets for testing
  • Actuarial science textbooks and references
  • Statistical software documentation

Ready to dive into actuarial science? This project combines advanced statistics with real-world insurance applications.

Technologies Used

Python 3.10+ NumPy/SciPy Statistical simulation Monte Carlo methods