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Part 2: Ratemaking Methods & Loss Reserves

The three ratemaking methods, advisory organizations, and the four types of loss reserves

Start Here: 5 Things You MUST Know

1

Pure Premium Method builds a rate from scratch. Loss Ratio Method adjusts an existing rate.

2

Advisory orgs file loss costs, NOT final rates. Each insurer adds its own expense and profit loading.

3

Loss reserves are the BIGGEST liability on an insurer's balance sheet -- often 60-70% of total liabilities.

4

IBNR = losses that happened but the insurer doesn't know yet. IBNER = reported but reserved too low.

5

Under-reserving makes an insurer look falsely profitable and can lead to insolvency. Over-reserving makes them look less profitable and overcharge.

1. Pure Premium Method

When to Use

Use this method when you are building a rate from scratch -- or when you have reliable historical loss data but no existing rate to compare against. Think of it as starting with a blank slate.

The Formula

Gross Rate = Pure Premium / (1 - Expense Ratio - Profit Factor)

Where Pure Premium = Adjusted Losses / Exposure Units. The denominator accounts for the insurer's expenses and profit margin.

The 5 Steps

Step 1

Collect historical loss data (typically 5+ years to smooth out anomalies)

Step 2

Adjust for development -- losses grow as claims mature, so you "develop" old data to its ultimate value

Step 3

Trend the data forward -- account for inflation, frequency changes, and legal environment shifts

Step 4

Calculate pure premium = Adjusted Losses / Exposure Units

Step 5

Load for expenses and profit -- apply the formula to get the final gross rate

Worked Example: Homeowners in State X

The Setup: An insurer is entering the homeowners market in State X for the first time. They have no existing rate, but they have industry loss data.

Given Data:

Historical losses (trended and developed): $32,000,000 over 5 years

Total exposure: 50,000 house-years

Expense ratio: 30%

Profit factor: 5%

Step-by-Step Calculation:

Step 1: Pure Premium

$32,000,000 / 50,000 = $640 per house-year

This is the average expected loss cost per home per year -- no expenses, no profit, just losses.

Step 2: Calculate the Denominator

1 - 0.30 - 0.05 = 0.65

35% of every premium dollar goes to expenses (30%) and profit (5%). Only 65 cents of each dollar covers losses.

Step 3: Gross Rate

$640 / 0.65 = $984.62

Each homeowner should pay approximately $985 per year. Of that, $640 covers expected losses, $295 covers expenses, and $49 is profit.

2. Loss Ratio Method

When to Use

Use this method when you already have an existing rate and want to know if it needs to go up or down. Instead of building from scratch, you compare your actual loss experience to what you expected.

The Formula

Rate Change = (Actual Loss Ratio / Expected Loss Ratio) - 1

If the result is positive, rates need to increase. If negative, rates could decrease. The expected loss ratio is the one built into the current rate structure.

Worked Example: Auto Insurance Rate Adjustment

The Setup: An insurer charges $1,000/year for auto insurance. When they set that rate, they expected 65% of each dollar to go toward losses (expected loss ratio = 65%). After a year of experience, actual losses came in at 72%.

Given Data:

Current rate: $1,000

Expected loss ratio: 65%

Actual loss ratio: 72%

Step-by-Step Calculation:

Step 1: Calculate the Rate Change Factor

72% / 65% = 1.1077

Losses are running 1.1077 times what was expected.

Step 2: Convert to Percentage Change

1.1077 - 1 = +0.1077 = +10.77%

Rates need to increase by 10.77%.

Step 3: Apply to Current Rate

$1,000 x 1.1077 = $1,107.70

Losses are running 10.8% higher than expected, so rates need to increase by 10.8% to stay adequate.

Quick Logic Check

If actual loss ratio = expected loss ratio, the formula gives (65/65) - 1 = 0% change. The rate is perfectly adequate. If actual is LOWER than expected, you get a negative number (rate decrease). Makes sense!

3. Judgment Method

When to Use

Use when there is insufficient statistical data for actuarial analysis. This is the method of last resort -- less precise, but sometimes the only option. Common for new lines, unique risks, and emerging risks like cyber insurance.

What the Actuary Relies On:

Similar Lines of Business

Using aviation liability data to help price drone insurance

Industry Data

Pooled data from advisory organizations even if limited

Expert Opinion

Engineers, scientists, and risk consultants assess the hazard

Engineering Studies

Technical failure rate analysis, stress testing results

Real-World Scenario: Drone Delivery Insurance

The Setup: A startup launches a drone delivery service. They need liability insurance. No historical drone delivery loss data exists anywhere.

What Happens: The actuary pieces together data from aviation liability, product liability, and tech E&O policies. They consult engineering assessments of drone failure rates, battery fire risks, and collision probabilities.

The Result: A rate is estimated using professional judgment informed by analogous data. The rate will likely be high (reflecting uncertainty) and will be refined as actual loss data emerges over time.

4. When to Use Which Method

Pure Premium

Situation: New line, no existing rate

Data needed: Plenty of historical loss data

Output: A brand-new rate from scratch

Precision: High (data-driven)

Think: "I have data but no rate"

Loss Ratio

Situation: Existing rate needs adjustment

Data needed: Recent actual loss experience

Output: Percentage increase or decrease

Precision: High (data-driven)

Think: "I have a rate -- is it still right?"

Judgment

Situation: No data, emerging or unique risk

Data needed: Analogous data, expert opinion

Output: Best estimate based on judgment

Precision: Low (subjective)

Think: "I have no data -- best guess"

5. Advisory Organizations

Advisory organizations pool loss data from many insurers and develop prospective loss costs (pure premiums without expense loading). They file these with regulators. Insurers can then adopt, modify, or ignore them and add their own expense and profit loading.

ISO / Verisk

The largest advisory organization. Collects data from thousands of insurers.

Focus: Commercial and personal lines loss costs, policy forms, and classification systems

Key fact: Most insurers use ISO forms and rates as a starting point

NCCI

National Council on Compensation Insurance. Specializes in one line only.

Focus: Workers' compensation data, rates, and classification system

Key fact: Operates in approximately 38 states

AAIS

American Association of Insurance Services. A smaller alternative to ISO.

Focus: Serves small and regional insurers who need an alternative to ISO

Key fact: Same concept as ISO but smaller scale

How the Process Works

Insurers Report

Loss data submitted

-->

Advisory Org Pools

Data aggregated

-->

Loss Costs Filed

With regulators

-->

Insurers Use/Modify

Add own expenses

Critical Distinction for the Exam

Advisory organizations file LOSS COSTS (pure premiums without expense loading) -- NOT final rates. Each insurer adds its own expense and profit loading to create its final rate. This is why two insurers can use the same ISO loss costs but charge different premiums.

6. Loss Reserves -- The Biggest Liability on the Balance Sheet

What are loss reserves? Money set aside to pay for losses that have already occurred but have not yet been fully paid. They represent the insurer's best estimate of what they will ultimately owe.

Loss reserves are typically the largest single liability on an insurer's balance sheet -- often 60-70% of total liabilities. Getting reserves wrong has massive consequences.

The Four Types of Loss Reserves

A

Case Reserves

Estimates for individual known claims that have been reported but not yet paid. Set by claims adjusters based on the specific facts of each claim.

Example: A car accident is reported. The adjuster reviews the damage, medical bills, and estimates the total cost at $15,000. A $15,000 case reserve is established for that specific claim.

B

IBNR (Incurred But Not Reported)

Losses that have already happened but the insurer doesn't know about them yet. The insurer must estimate how many unreported claims are out there.

Example: A hailstorm damages a roof in October. The homeowner doesn't notice the damage until April. The loss is "incurred" in October but won't be "reported" until April -- a 6-month IBNR gap.

Biggest IBNR risk: Long-tail lines (liability, workers comp) where claims can emerge years or even decades later. Think: asbestos exposure, sexual abuse claims.

C

IBNER (Incurred But Not Enough Reported)

Also called "development on known claims." Claims that HAVE been reported, but the case reserve is too low. This is the most common type of reserve adjustment.

Example: A workers comp claim is initially reserved at $50,000. The claimant's condition worsens and requires additional surgery. Reserve must be increased to $150,000. The $100,000 increase is IBNER.

D

Reopened Claims Reserves

Claims that were closed (settled and paid) but later get reopened due to a change in circumstances.

Example: A workers comp claim is closed after the claimant returns to work. Two years later, the injury flares up and the claimant needs another surgery. The claim is reopened and a new reserve must be established.

60-70%

Of total liabilities are loss reserves

Case

Known claims, adjuster-set

IBNR

Happened but unknown

IBNER

Known but under-reserved

7. Loss Development

Claims change over time -- initial estimates are almost NEVER the final cost. Loss development factors measure how much claims grow from initial report to final settlement. Actuaries use loss development triangles to track these patterns.

Short-Tail Lines

Claims develop quickly -- typically 1-2 years to final settlement.

Examples: Property insurance, auto physical damage. A house fire is reported, inspected, and settled within months.

Long-Tail Lines

Claims can develop for 10-20+ years before final settlement.

Examples: General liability, workers comp, medical malpractice. A child injured at birth may not file a lawsuit until age 18. Asbestos claims emerged decades after exposure.

Why Accurate Reserves Matter

Under-Reserving (Too Little Set Aside)

The insurer looks more profitable than it really is because liabilities are understated.

May pay excessive dividends to shareholders based on phantom profits.

May lead to inadequate rates (if you think losses are low, you charge too little).

Ultimate risk: insolvency when the true cost of claims is revealed.

Over-Reserving (Too Much Set Aside)

The insurer looks less profitable than it really is because liabilities are overstated.

May charge excessive premiums, losing customers to competitors.

Tax implications: reserves are a tax deduction, so over-reserving reduces taxable income.

Regulators watch for this too -- it can be a sign of income manipulation.

Regulatory Requirement

State regulators examine reserve adequacy annually. An appointed actuary must certify that reserves are adequate. If regulators find reserves are deficient, they can require the insurer to increase them -- which immediately reduces reported surplus and may trigger regulatory action.

Cheat Sheet

Print this page for quick reference

Formulas

Pure Premium: Gross Rate = PP / (1 - Exp% - Profit%)

Loss Ratio: Rate Change = (Actual LR / Expected LR) - 1

Pure Premium: PP = Adjusted Losses / Exposure Units

Method Selection

Pure Premium: Have data, no existing rate

Loss Ratio: Have existing rate, need to adjust

Judgment: No data, emerging/unique risk

Advisory Orgs

ISO/Verisk: Largest, commercial + personal lines

NCCI: Workers comp only, ~38 states

AAIS: Smaller alternative, regional insurers

Key rule: File LOSS COSTS, not final rates

Four Reserve Types

Case: Known claims, adjuster estimates each one

IBNR: Happened but insurer doesn't know yet

IBNER: Reported but reserved too low (most common adjustment)

Reopened: Closed claims that get reopened

Exam Trap Alerts

1. Pure Premium vs. Loss Ratio -- Don't Mix Up When to Use Each

Pure Premium = building from scratch (no existing rate). Loss Ratio = adjusting an existing rate. If the question says "an insurer wants to determine if its current rates are adequate," that is the Loss Ratio Method. If it says "developing a rate for a new market," that is the Pure Premium Method.

2. Advisory Orgs File LOSS COSTS, Not Rates

A question might say "ISO files rates that all insurers must use." This is FALSE. ISO files prospective loss costs (pure premiums). Each insurer adds its own expense and profit loading. Insurers can also develop their own independent rates.

3. IBNR vs. IBNER -- The Name Tells You

IBNR = "Not Reported" -- the insurer doesn't even know the claim exists yet. IBNER = "Not ENOUGH Reported" -- the insurer knows about the claim but has set aside too little money. If a question describes a known claim that grows, that is IBNER, not IBNR.

4. Under-Reserving Makes You Look PROFITABLE (Not Poor)

This is counterintuitive. If you don't set aside enough for losses, your liabilities are understated, which makes your net income look higher. The danger is false profitability leading to excessive dividends and eventual insolvency.

5. The Denominator in Pure Premium Formula is NOT Just Expenses

The formula divides by (1 - Expense Ratio - Profit Factor). Students sometimes forget the profit factor. If expense ratio is 30% and profit is 5%, the denominator is 0.65, not 0.70. This makes a significant difference in the final rate.

6. NCCI is Workers Comp ONLY

Don't confuse NCCI with ISO. NCCI handles workers compensation exclusively (in ~38 states). ISO handles commercial and personal lines broadly. If a question mentions workers comp classification codes or experience modification, think NCCI.

7. Loss Development Applies to ALL Methods

Whether using Pure Premium or Loss Ratio, the historical data must be developed to ultimate. A claim reported 6 months ago has not finished developing. Failing to adjust for development means your rates are based on incomplete data and will be too low.

8. Long-Tail vs. Short-Tail Affects EVERYTHING

Long-tail lines have more IBNR, higher development factors, greater reserve uncertainty, and more investment income on reserves. Property = short tail (1-2 years). Liability/WC/Med Mal = long tail (10-20+ years). This distinction shows up in multiple exam contexts.

Quick Reference Summary

Pure Premium Method

Builds rate from scratch: PP / (1 - Exp% - Profit%)

Loss Ratio Method

Adjusts existing rate: (Actual LR / Expected LR) - 1

Judgment Method

Expert opinion when no statistical data exists

ISO / Verisk

Largest advisory org, files loss costs (not rates)

NCCI

Workers comp only, ~38 states

Case Reserves

Individual known claims, adjuster-set estimates

IBNR

Losses happened but insurer doesn't know yet

IBNER

Known claims reserved too low (most common adjustment)

Loss Reserves

60-70% of total liabilities, annually examined

Under-Reserving

False profit, excessive dividends, insolvency risk

Short-Tail Lines

Property, auto PD -- develop in 1-2 years

Long-Tail Lines

Liability, WC, med mal -- develop 10-20+ years