Welcome to Assignment 7
The actuary is the person who answers one of the most important questions in insurance: "How much should we charge?" Actuaries analyze historical loss data, project future losses, and develop the rates that insurers use to price their products. They also determine how much money an insurer needs to set aside (reserves) to pay future claims.
In this assignment, you will learn the fundamentals of ratemaking, the three methods actuaries use to calculate rates, how loss reserves work, the different types of rate regulation, and how modern technology (AI, telematics, GLMs) is transforming actuarial practice.
Exam Alert!
This assignment is formula-light compared to a real actuarial exam, but you MUST know: the five ideal characteristics of rates, the three ratemaking methods (and when to use each), the four types of loss reserves, and the five types of rate regulation. Expect scenario questions that ask you to identify the correct method or regulation type.
Educational Objectives
After completing this assignment, you should be able to:
Describe the actuary's role in insurance operations and explain the five ideal characteristics of insurance rates
Identify the components of an insurance rate and the factors that affect ratemaking
Compare the three ratemaking methods: pure premium, loss ratio, and judgment
Explain the types of loss reserves and why accurate reserving is critical to insurer solvency
Describe the five types of rate regulation and the rate filing process
Explain how modern actuarial techniques (GLMs, telematics, AI) are changing ratemaking and the regulatory concerns they raise
What You'll Learn
Ratemaking Fundamentals
- - What actuaries do and the questions they answer
- - Five ideal characteristics of insurance rates
- - Components of an insurance rate (the formula)
- - Five factors that affect ratemaking
- - ALAE vs. ULAE (and the modern NAIC terms)
- - Social inflation and nuclear verdicts
Ratemaking Methods and Loss Reserves
- - Pure premium method (with worked example)
- - Loss ratio method (with worked example)
- - Judgment method (when data is scarce)
- - Advisory organizations: ISO, NCCI, AAIS
- - Four types of loss reserves (Case, IBNR, IBNER, Reopened)
- - Loss development and reserve dangers
Rate Filing and Modern Actuarial Practice
- - Five types of rate regulation
- - The rate filing process
- - Credibility and large loss limitations
- - GLMs, GBMs, and telematics-based rating
- - Proxy discrimination and algorithmic bias
- - The actuary's role across the value chain
Key Terms to Know
Before diving in, familiarize yourself with these foundational terms that appear throughout this assignment:
Actuary
A professional who uses math, statistics, and financial theory to study uncertain future events -- especially those of concern to insurance and pension programs.
Example: Before an insurer launches a new cyber liability product, an actuary analyzes historical data breach costs, frequency trends, and regulatory fines to determine that the rate should be $4,200 per year for a mid-size company.
Pure Premium
The portion of the rate that covers expected losses only -- before any expenses, profit, or contingencies are added. Also called "loss cost."
Example: If an insurer expects to pay $600 in claims per home insured, the pure premium is $600. The final rate will be higher because you still need to add expenses and profit.
Loss Reserve
Money set aside by an insurer to pay for claims that have already occurred but have not yet been fully settled or paid.
Example: A worker is injured on the job in November. The insurer estimates future medical costs at $85,000 and sets that amount aside as a loss reserve, even though it has not paid a dime yet.
Loss Ratio
Incurred losses divided by earned premiums. It shows what percentage of premium dollars go to paying claims. A 70% loss ratio means 70 cents of every premium dollar pays claims.
Example: An auto insurer collects $50 million in premiums and pays $35 million in claims. The loss ratio is 35M / 50M = 70%. If the expected ratio was 65%, the actuary knows rates need to increase.
IBNR (Incurred But Not Reported)
Losses that have already happened but the insurer does not know about them yet because no claim has been filed.
Example: Workers were exposed to asbestos in the 1970s. The diseases did not appear until the 1990s. Those losses were "incurred" decades before they were "reported."
Credibility
A statistical measure of how reliable your data is. More data = more credible. Highly credible data can be relied upon alone; low-credibility data needs to be supplemented with industry data.
Example: A large national insurer with 500,000 auto policies has highly credible data. A small regional insurer with 2,000 policies has low credibility and must blend its data with ISO industry data to set rates.
Assignment 7 Quick Reference
5 Rate Characteristics
Adequate, not excessive, not unfairly discriminatory, responsive, encourage loss control
3 Ratemaking Methods
Pure premium, loss ratio, judgment
4 Reserve Types
Case, IBNR, IBNER, reopened claims
5 Regulation Types
Prior approval, file-and-use, use-and-file, flex, no-file
3 Advisory Orgs
ISO, NCCI, AAIS
2 LAE Types
ALAE (DCC) = specific claim; ULAE (A&O) = overhead
Rate Formula
Pure Premium / (1 - Expense Ratio - Profit Factor)
Modern Tools
GLMs, GBMs, telematics, climate modeling