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