IC-01 Chapter 3 Short Notes: Rating and Pricing Insurance Products
Informational Overview: Fundamentals of Insurance Rating and Pricing
Insurance pricing is unique and challenging because the sale occurs before the ultimate cost of claims is known. Premiums are determined in advance using past actuarial data, and insurers cannot request additional premiums retroactively if claims exceed expectations.
Important Terms and Definitions
- Exposure Unit: The basic unit of risk exposed to potential loss, such as an individual person, vehicle, house, or shipment. A group policy itself is a contract, not an exposure unit.
- Frequency: The rate of loss occurrences for a given number of exposure units during a specified period.
- Frequency = Total number of losses in a year / Total number of exposure units
- Severity: The average monetary value per loss within a classified risk group.
- Severity = Total amount of losses in a year / Total number of losses in a year
- Burning Cost (Pure Premium): The base cost required solely to cover expected claim payouts per exposure unit.
- Burning Cost = Frequency x Severity = Total amount of losses in a year / Total number of exposure units
Commercial Investigation: Cost Components, Volatility, and Rating Factors
Price Components
The final price of an insurance product comprises four main elements: Burning Cost, Acquisition Costs (commissions paid to agents, brokers, and web aggregators), Operating Expenses (administrative, IT, and overhead costs), and Profit Margin. Reinsurers provide risk-bearing capacity and are not classified as distributors. External factors like changes in company management (e.g., CEO changes) do not directly affect physical risk or policy pricing.
Ultimate Claims Cost
The net claim outlay is calculated using the following formula:
- Ultimate Claims Cost = Claims Cost + Survey Fees + Advocate Fees - Salvage - Subrogation Recoveries - Reinsurance Recoveries
Loss Volatility and Standard Deviation
Insurers analyze variability in loss distributions using standard deviation. A higher standard deviation indicates greater loss volatility, requiring underwriters to include safety margins in the premium to absorb unexpected claim fluctuations. Additional rating variables include past loss trends, judicial rulings, reinsurance rates, product design, and deductibles.
Transactional Application: Pricing Formulas and Exam-Focused Calculations
Key Pricing Rules and Formulas
Adding percentage loadings directly to the Burning Cost is mathematically incorrect because it leaves insufficient funds for claims. The correct single-line formula to convert Pure Premium into Gross Premium is:
- Gross Premium = Burning Cost / (1 - % Loading for Costs and Profit)
When fixed pre-acceptance inspection or medical costs are present, they are added directly to the Burning Cost before applying percentage loadings:
- Gross Premium = (Burning Cost + Fixed Pre-Acceptance Costs) / (1 - % Loading for Costs and Profit)
To determine investment income from accounting figures, use:
- Investment Income = Profit + Claims + Commission + Expenses - Net Premium
Exam Numerical Examples
- Calculating Frequency: If 1,500 accidents occur across 10,000 insured vehicles, Frequency = 1,500 / 10,000 = 15%.
- Calculating Burning Cost: If total claims equal Rs. 30,00,000 across 5,000 employees, Burning Cost = 30,00,000 / 5,000 = Rs. 600 per employee.
- Calculating Standard Premium: For a Burning Cost of Rs. 3,000 with 40% combined loading (10% acquisition + 20% operating + 10% profit), Gross Premium = 3,000 / (1 - 0.40) = Rs. 5,000.
- Calculating Health Insurance Premium with Fixed Costs: For a Burning Cost of Rs. 1,500, pre-acceptance medical cost of Rs. 300, and 25% total loading (7% acquisition + 15% operating + 3% profit), Gross Premium = (1,500 + 300) / (1 - 0.25) = 1,800 / 0.75 = Rs. 2,400.
Key Takeaways
- Insurance pricing relies on historical actuarial data rather than known production costs.
- Always apply percentage loadings via division (1 - Loading %) rather than direct multiplication.
- Reinsurers, CEOs, and group policies are distinct concepts that must not be confused with distributors, risk factors, or exposure units.