Free Tools for Rational Education
The Actuary's Free Study Guide for the Old Exam 5
First Edition Published in September 2009 - April 2010
Second Edition Published in July 2014
Recommend this page.

Click here to download a free PDF copy of the Second Edition of this study guide.
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 Right, Rebirth 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.
Click here to return to the index of Free Tools for Rational Education.
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.