Free Tools for Rational Education

The Actuary's Free Study Guide for the Old Exam 5

G. Stolyarov II
First Edition Published in September 2009 - April 2010
Second Edition Published in July 2014

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Auxiliary Materials

A Short Guide to Selecting Trend Dates for Premium Trends and Loss Trends
Three-page encapsulation of what you need to know with regard to selecting the appropriate trend-from and trend-to dates.

Conciseness on Actuarial Essay Exams

Table of Contents

Section

Page

Section 1: Exposures, Premium, Losses, and Claims

6

Section 2: Loss Reserves and Loss Adjustment Expenses

8

Section 3: Underwriting Expenses, Insurance Company Profit, and the Fundamental Insurance Equation

10

Section 4: Ratemaking Principles, Frequency, Severity, and Pure Premium

12

Section 5: Average Premium, Loss Ratio, Loss Adjustment Expense Ratio, Underwriting Expense Ratio, and Operating Expense Ratio

15

Section 6: Combined Ratio, Retention Ratio, and Close Ratio

18

Section 7: Rules, Rates, and Rating Algorithms in Insurance Rating Manuals

21

Section 8: Underwriting Guidelines and Rating Manuals in Insurance

23

Section 9: Practice Problems and Solutions Pertaining to a Fictional Rating Manual for Homeowners' Insurance

26

Section 10: Practice Problems and Solutions Pertaining to a Fictional Rating Manual for Medical Malpractice Insurance

32

Section 11: Practice Problems and Solutions Pertaining to a Fictional Rating Manual for Workers' Compensation Insurance

39

Section 12: Moral Hazard Versus Morale Hazard in Insurance

44

Section 13: Ratemaking Data Types, Policy Databases, and Claims Databases

47

Section 14: Aggregation of Insurance Data

52

Section 15: Insurance Data Aggregation Methods and External Insurance Data

55

Section 16: Practice Questions and Solutions on the Use of Competitor Rate Filings and Third-Party Data by Insurance Companies and Criteria for Exposure Bases

59

Section 17: Exposure Bases, Methods of Aggregating Exposures, and In-Force Exposures

62

Section 18: Risk, Loss Exposures, and Hazards in Insurance

65

Section 19: Competition in Property and Casualty Insurance Markets

71

Section 20: Basic Supply and Demand and Some Factors Affecting Insurance Supply

76

Section 21: Considerations Regarding Insurance Markets and Pooling of Risk

79

Section 22: Functions and Properties of Risk Pooling and Insurance

84

Section 23: Characteristics of Ideally Insurable Loss Exposures

87

Section 24: Net Income Loss Exposures and Personal Loss Exposures

92

Section 25: Basic Legal Concepts Relevant to Insurance

95

Section 26: Intentional Torts, Strict Liability, and Remedies for Torts

99

Section 27: Distinguishing Characteristics of Insurance Policies

103

Section 28: Exchange of Unequal Amounts, Conditionality, and Restrictions on Transfer in Insurance

108

Section 29: Common Insurance Policy Provisions

111

Section 30: Aggregation of Written, Earned, and In-Force Exposures for Insurance Policies of Unequal Terms and the "15th of the Month" Rule

115

Section 31: Adjustments to Historical Premium and Written Premium Aggregation for Calendar Years and Policy Years

119

Section 32: Aggregation of Earned Premium and In-Force Premium by Calendar Year and Policy Year

123

Section 33: Adjusting Historical Premium to Current Rate Levels: The Extension of Exposures Method and an Introduction to the Parallelogram Method

127

Section 34: Application of the Parallelogram Method for Adjusting Historical Premium to Current Rate Levels

130

Section 35: Policy-Year Calculations Using the Parallelogram Method

134

Section 36: Calculations Using the Parallelogram Method when Some Rate Changes Are Applied to Already Written Insurance Policies

137

Section 37: Premium Trends, Exposure Trends, One-Step Trending, and Two-Step Trending

143

Section 38: Analyzing Loss Data by Calendar Year, Accident Year, and Policy Year

147

Section 39: Catastrophe and Excess Losses

154

Section 40: Changes in Insurer Losses Due to Reinsurance and Changes in Coverage or Benefit Levels

157

Section 41: Calculations Pertaining to Workers' Compensation Insurance Benefit Levels

160

Section 42: Analysis of Insurance Losses Using the Parallelogram Method and Age-to-Age Development Factors

164

Section 43: Loss Development, Age-to-Ultimate Development Factors, and Calculations of Loss Trends

168

Section 44: Calculations of Loss Trends in Insurance – Part 2

173

Section 45: Trends Pertaining to Total Limits Losses, Basic Limits Losses, and Excess Losses

175

Section 46: Comparisons of Various Types of Loss Trends in Insurance and Simple Methods of Estimating Unallocated Loss Adjustment Expenses

179

Section 47: Risk Management Steps, the Law of Large Numbers, Types of Insurers, and Insurance Functions

182

Section 48: Independent Agents and Brokers in Insurance

187

Section 49: Exclusive Agents, Direct Writers, Excess and Surplus Lines Brokers, Agency Premium Billing, and General Functions of Insurance Producers

191

Section 50: General Underwriting Purposes, Functions, and Information in Insurance

196

Section 51: General Insurance Underwriting Considerations and Procedures

202

Section 52: General Underwriting Purposes, Functions, and Information in Insurance – Part II

206

Section 53: Construction and Occupancy Considerations Pertaining to Fire Risk

210

Section 54: Occupancy Hazards, Fire Protection Classes, Fire Prevention, and Fire Detection

214

Section 55: Fire Sprinkler Systems and External Fire Loss Exposures

218

Section 56: Coinsurance Requirements for Property Insurance and the Fire, Lightning, Explosion, and Windstorm Causes of Loss

221

Section 57: Losses Due to Hail, Vandalism, Earthquakes, Water, and Other Perils

225

Section 58: Concepts Pertaining to Legal Liability and Commercial Liability Insurance

230

Section 59: Personal and Advertising Injury Loss Exposures, Premises Medical Payments Loss Exposures, Hold-Harmless Agreements, and Products Liability Loss Exposures

234

Section 60: Completed Operations Loss Exposures, Professional Liability Insurance, Personal Liability Insurance, and Laws Pertaining to Automobile Insurance

238

Section 61: Personal Automobile and Commercial Automobile Loss Exposures

242

Section 62: Underwriting Considerations Pertaining to Workers' Compensation Insurance

246

Section 63: Basics of Insurance Claims and Property Claim Adjusting

250

Section 64: Indirect Losses to Property, Verification of Property Losses, Intentional Property Losses, Replacement Cost, and Actual Cash Value

254

Section 65: Replacement Cost, Actual Cash Value, Depreciation, Agreed Amounts, Stated Amounts, and Policyholder Duties in the Event of Insured Losses

258

Section 66: Waiver, Estoppel, Reservations of Rights, Salvage, and Subrogation in Insurance Claims

261

Section 67: Basics of Liability Claim Adjusting

265

Section 68: Coverage, Investigation, and Defenses for Liability Insurance Claims

269

Section 69: Damages and Settlements in Liability Insurance Claims

273

Section 70: Negotiations, Settlements, and Litigation for Liability Insurance Claims

278

Section 71: Stages of a Lawsuit, Legal Expense Controls, and Alternative Dispute Resolution

283

Section 72: Treatment of Expenses in Ratemaking and the All Variable Expense Method

287

Section 73: The Premium-Based Projection Method and the Exposure-Based Projection Method for Expenses in Insurance Ratemaking

291

Section 74: Trending of Fixed Expenses, Reinsurance Costs, and Treatment of Profit in Insurance Ratemaking

296

Section 75: The Pure Premium Method and the Loss Ratio Method in Insurance Ratemaking

299

Section 76: Criteria for Selecting Underwriting and Rating Variables in Insurance

303

Section 77: The Pure Premium Approach for Determining Relativities Pertaining to Specific Insurance Rating Variables

308

Section 78: The Loss Ratio Approach for Determining Relativities Pertaining to Specific Insurance Rating Variables

312

Section 79: The Adjusted Pure Premium Approach for Determining Relativities Pertaining to Specific Insurance Rating Variables

316

Section 80: The Minimum Bias Procedure for Two Rating Variables and Two Categories Per Variable

320

Section 81: Multivariate Classification Ratemaking Methods and Basic Principles of Generalized Linear Models

326

Section 82: Basics of GLM Diagnostics, Validation, and Factor Analysis

330

Section 83: The Role of Data Mining Techniques and External Data in Enhancing Generalized Linear Models in Insurance

333

Section 84: Attributes of Territorial Ratemaking in Insurance

336

Section 85: Increased Limits Ratemaking for Single Limits with Uncensored Losses

340

Section 86: Increased Limits Ratemaking for Single Limits with Censored Losses

344

Section 87: Calculations of Increased Limit Factors Using Continuous Loss Distributions and Basic Calculations of Deductible Relativities and Loss Elimination Ratios

349

Section 88: Calculation of Loss Elimination Ratios Using Observed Data

352

Section 89: Calculations of Loss Elimination Ratios Using Continuous Loss Distributions and Considerations Pertaining to Expenses in Workers' Compensation Ratemaking

355

Section 90: Calculations Pertaining to Coinsurance Requirements and Penalties in Property Insurance

358

Section 91: Rate Calculations for Property Insurance and Considerations Pertaining to Insurance to Value

361

Section 92: Basics of Classical Credibility, Bühlmann Credibility, and Bayesian Analysis of Credibility

365

Section 93: Methods for Determining Complements of Credibility

369

Section 94: Methods for Finding Complements of Credibility: Harwayne's Method and the Use of Competitors' Rates

373

Section 95: Using Trended Present Rates in Finding the Complement of Credibility, Statistical Methods in Multivariate Classification Analysis, and the Challenges of Excess Insurance Ratemaking

378

Section 96: Finding Complements of Credibility in Excess Insurance Ratemaking Using Increased Limit Factors, Lower Limits Analysis, and Limits Analysis

381

Section 97: The Method of Fitted Curves for Finding the Complement of Credibility in Excess Insurance Ratemaking and Cost-Benefit Analyses for Changes in Insurance Rating Structures

387

Section 98: Formulas for Competitive Comparisons and Measurements of Performance for Insurers

392

Section 99: Elements of a Personal Automobile Insurance Policy – Part 1

397

Section 100: Elements of a Personal Automobile Insurance Policy – Part 2

401

Section 101: Elements of a Personal Automobile Insurance Policy – Part 3

404

Section 102: Elements of a Personal Automobile Insurance Policy – Part 4

408

Section 103: Elements of a Personal Automobile Insurance Policy – Part 5

412

Section 104: Elements of a Personal Automobile Insurance Policy – Part 6

416

Section 105: Elements of Typical Homeowners' Insurance Policies – Part 1

420

Section 106: Elements of Typical Homeowners' Insurance Policies – Part 2

424

Section 107: Elements of Typical Homeowners' Insurance Policies – Part 3

428

Section 108: Elements of Typical Homeowners' Insurance Policies – Part 4

432

Section 109: Elements of Typical Homeowners' Insurance Policies – Part 5

436

Section 110: Elements of Typical Homeowners' Insurance Policies – Part 6

440

Section 111: Elements of Typical Homeowners' Insurance Policies – Part 7

444

Section 112: Insurance Non-Pricing Changes and Rating Changes Aimed at Achieving Rate Adequacy

448

Section 113: The Approximated Average Rate Differential Method of Establishing Base Rates for Insurance Rating Plans

451

Section 114: The Approximated Change in Rate Differential Method of Establishing Base Rates for Insurance Rating Plans

454

Section 115: Considerations Pertaining to Insurance Rate Dislocations, Rate Transitions, and New Rating Selections

460

Section 116: A Fictional Commercial Insurance Experience Rating Plan

464

Section 117: A Fictional Workers' Compensation Insurance Experience Rating Plan

467

Section 118: A Fictional Commercial Insurance Composite Rating Plan

470

Section 119: A Fictional Commercial Insurance Large Deductible Plan

473

Section 120: A Fictional Workers' Compensation Insurance Retrospective Rating Plan

476

Section 121: Occurrence-Based versus Claims-Made Insurance Policies

479

Section 122: Common Types of Commercial Insurance

484

Section 123: Common Elements and Additional Common Types of Commercial Insurance Policies

488

Section 124: Aspects of Typical Commercial Property Insurance Coverage Forms and Causes of Loss Forms

492

Section 125: Covered Perils and Exclusions Under Typical Commercial Property Insurance Causes of Loss Forms

495

Section 126: Elements of the "Special" Commercial Property Insurance Causes of Loss Form and Commercial General Liability Insurance

499

Section 127: Coverages and Exclusions of a Typical Commercial General Liability Insurance Policy

504

Section 128: Insureds and Limits of Commercial General Liability Insurance Policies

510

Section 129: Conditions of a Typical Commercial General Liability Insurance Policy

513

Section 130: Elements of Typical Claims-Made Commercial General Liability Insurance Policies, Certificates of Insurance, and Other Liability Coverage Forms

517

Section 131: Elements of Workers' Compensation Insurance

520

Section 132: Elements of Workers' Compensation Insurance – Part 2

524

Section 133: Elements of Employers' Liability Insurance

527

Section 134: Special Elements of Some Workers' Compensation Insurance Programs and Basics of Excess and Umbrella Liability Insurance

531

Section 135: Elements of Umbrella Liability Insurance

534

Section 136: Elements of Professional Liability Insurance and Management Liability Insurance

538

Section 137: Elements of Directors' and Officers' Liability Insurance, Employment Practices Liability Insurance, Employee Benefits Liability Insurance, and Fiduciary Liability Insurance

541

About Mr. Stolyarov

546

Gennady Stolyarov II (G. Stolyarov II) is an actuary, science-fiction novelist, independent philosophical essayist, poet, amateur mathematician, composer, and Editor-in-Chief of The Rational Argumentator, a magazine championing the principles of reason, rights, and progress. 

In December 2013, Mr. Stolyarov published Death is Wrong, an ambitious children’s book on life extension illustrated by his wife Wendy. Death is Wrong can be found on Amazon in paperback and Kindle formats.

Mr. Stolyarov has contributed articles to the Institute for Ethics and Emerging Technologies (IEET), The Wave Chronicle, Le Quebecois Libre, Brighter Brains Institute, Immortal Life, Enter Stage RightRebirth of Reason, The Liberal Institute, and the Ludwig von Mises Institute. Mr. Stolyarov also published his articles on Associated Content (subsequently the Yahoo! Contributor Network) from 2007 until its closure in 2014, in an effort to assist the spread of rational ideas. He held the highest Clout Level (10) possible on the Yahoo! Contributor Network and was one of its Page View Millionaires, with over 3.1 million views. 

Mr. Stolyarov holds the professional insurance designations of Associate of the Society of Actuaries (ASA), Associate of the Casualty Actuarial Society (ACAS), Member of the American Academy of Actuaries (MAAA), Chartered Property Casualty Underwriter (CPCU), Associate in Reinsurance (ARe), Associate in Regulation and Compliance (ARC), Associate in Personal Insurance (API), Associate in Insurance Services (AIS), Accredited Insurance Examiner (AIE), and Associate in Insurance Accounting and Finance (AIAF).

Mr. Stolyarov has written a science fiction novel, Eden against the Colossus, a philosophical treatise, A Rational Cosmology,  a play, Implied Consent, and a free self-help treatise, The Best Self-Help is Free. You can watch his YouTube Videos. Mr. Stolyarov can be contacted at gennadystolyarovii@gmail.com.

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Learn about Mr. Stolyarov's novel, Eden against the Colossus, here.

Read Mr. Stolyarov's comprehensive treatise, A Rational Cosmology, explicating such terms as the universe, matter, space, time, sound, light, life, consciousness, and volition, here.

Read Mr. Stolyarov's four-act play, Implied Consent, a futuristic intellectual drama on the sanctity of human life, here.