Selected work

Actuarial

Health Insurance Pricing Model

Frequency-severity pricing with an interactive interface

An end-to-end actuarial pricing model implementing a classical frequency-severity framework and exposing the results through an interactive R Shiny interface.

POISSON × LOGNORMAL GLMModel output · synthetic data
05k10k15k20406080AGEPURE PREMIUM = FREQUENCY × SEVERITYSmokerNon-smoker×1.85 frequency · ×1.77 severity
Male, BMI 25, no children, before loading

Problem

Pricing a health portfolio requires separating how often claims occur from how large they are, then combining both components into an expected-cost and premium framework.

What I built

Claim frequency is modelled with a Poisson GLM and severity with a lognormal specification. Age, BMI, smoking status and dependants feed the risk classification, expected cost and premium calculation surfaced through a Shiny interface.

Methods

  • Poisson GLM for claim frequency
  • Lognormal model for claim severity
  • Risk classification using member characteristics
  • Expected-cost estimation combining frequency and severity
  • Interactive risk-based premium calculation

Research context

  • Built and tested using a synthetic portfolio.

Technology

  • R
  • GLMs
  • Shiny

Links