SOA Exams & Modules
Module Overview Domestic/Foreign/Alien Insurance Companies U.S. insurance departments classify insurance companies as “domestic,” “foreign” and “alien.” Insurance companies formed outside the United States may be authorized to do business in the United States. These non-U.S. companies are called “alien”. The McCarran-Ferguson Act Regulation of life insurance in the United States has always been primarily a responsibility of the various states, …
[mathjax] Linear Models Classification of Variables Intention (by their role in the study) target/response/dependent/output variable risk factors/drivers Characteristics (by their nature) numeric/quantitative variables categorical/qualitative/factor variables The Model Building Process Stage 1: Define the Business Problem Objectives prediction-focused (accurate prediction) vs. interpretation-focused (relationship) Descriptive Analytics: Focuses on insights from the past and answers the question, “What happened?” Predictive Analytics: Focuses …
Developing an ERM Framework ERM Framework Criteria (Effective ) Scope is enterprise-wide All risk categories included Focused on key risks Enhances decision making ability Integration across risk type Aggregated metrics Balanced risk & return management Appropriate disclosures Measures value impacts Primary stakeholder focus Challenges to ERM Analysis The implementation of a strong ERM framework must address three primary hurdles. Quantification …
[mathjax] Introduction The Introduction to ILA module will give an overview of the role of an actuary in a Life and Annuity context. The module will give a strong foundation of understanding of life insurance and annuity product features, markets and distribution. Candidates will also learn the fundamentals of product development, pricing, reinsurance, valuation, financial reporting and administration. This module …
[mathjax] Basic Probability Functions and Moments Probability Density Function \(f(x)=\dfrac{d}{dx}F(x)\) or \(f(x)=-\dfrac{d}{dx}S(x)\) Hazard Rate Function \(\mu (x)=h(x)=\dfrac{f(x)}{S(x)}=-\dfrac{d\ln S(x)}{dx}\) Cumulative Hazard Rate Function \(H(x)=\int_{-\infty }^{x}{h(t)dt}=-\ln S(x)\) \(S(x)=e^{-H(x)}=e^{-\int_{-\infty }^{x}{h(t)dt}}\) Moment of X nth Raw Moment of X: \(\mu’_{n}=E[x^n]\) nth Central Moment of X: \(\mu_n=E[{(x-\mu )}^n]\) Covariance: \(Cov(X,Y)=E[(X-\mu_X)(Y-\mu_Y)]=E[XY]-E[X]E[Y]\) Correlation Coefficient: \(\rho_{XY}=Cov(X,Y)/({\sigma_X}{\sigma_Y})\) Coefficient of Variance: \(\sigma /\mu \) Skewness: \(\gamma_1=\mu_3/\sigma^3\) Kurtosis: \(\gamma_2=\mu_4/\sigma^4\) Moment Generating …
Basic Calculus Integrations \(\dfrac{d}{dx}a^x=a^x\ln(a)\) \(\int{{{}\over{}}a^xdx}=\dfrac{a^x}{\ln(a)}\text{ for }a>0\) Logarithmic Differentiation \(\dfrac{df(x)}{dx}=f(x)(\dfrac{d\ln f(x)}{dx})\), since \(\dfrac{d\ln f(x)}{dx}=\dfrac{df(x)/dx}{f(x)}\) Partial Fraction Decomposition \(\int{{{x}\over{1+x}}dx}=\int{(1-{{1}\over{1+x}})dx}\) Integration by Parts \(\int{udv}=uv-\int{vdu}\) Special Cases: \(\int_{0}^{\infty }{xe^{-ax}dx}=\dfrac{1}{a^2}\), for \(a>0\) \(\int_{0}^{\infty }{x^2e^{-ax}dx}=\dfrac{2}{a^3}\), for \(a>0\) Sets Set Properties Associative Property \((A\cup B)\cup C=A\cup (B\cup C)\) and \((A\cap B)\cap C=A\cap (B\cap C)\) Distributive Property \(A\cup (B\cap C)=(A\cup B)\cap (A\cup C))\) …
Accounting Principles
OPBT Rollforward Analysis Summary Fee Based Income Insurance Operating Income Beginning – Last Year One-off – Claims Experience Actual claim profits – Expected claim profits, from basic and UDR products Actual claim profits – Expected claim profits, from PPR products Expense Experience Actual expense profits – Expected expense profits Lapse and Persistency Experience Anything else that are difficult to …
Issued: Dec 1987 Superseded by: ASC Summary Scope: For universal life-type contracts that were not addressed by FASB Statement No. 60, Accounting and Reporting by Insurance Enterprises. For limited-payment long-duration insurance contracts and investment contracts and amends Statement 60 to change the reporting of realized gains and losses on investments. Applicability: {US-FAS97-6} Investment contracts, Long-duration contracts that do not …
Classification of Insurance Contracts
Insurance contracts are classified as short-duration or long-duration contracts.
Long-duration contracts: insurance contracts that are expected to remain in force for an extended period include contracts, such as:
whole-life,
guaranteed renewable term life,
endowment, annuity, and
title insurance contracts.
Otherwise, short-duration contracts.
most property and liability insurance contracts.
Defined Terms cedant The policyholder under a reinsurance contract. deposit component A contractual component that is not accounted for as a derivative under IAS 39 and would be within the scope of IAS 39 if it were a separate instrument. direct insurance contract An insurance contract that is not a reinsurance contract. discretionary participation feature A contractual right to receive, …
Product Classification Definition of Insurance Contract An insurance contract is a contract under which the insurer accepts significant insurance risk from the policyholder by agreeing to compensate the policyholder if a specified uncertain future event (the insured event) adversely affects the policyholder. Definition of Insurance Risk Insurance risk is risk, other than financial risk, transferred from the policyholder to the …
Please note that the information contained in this post is based on my own research and understanding of the topic. While I have made every effort to ensure its accuracy, I cannot guarantee that it is completely error-free. If you notice any errors or omissions, please let me know so that I can correct them. Applicability FAS 60 …
Coding & Programming
Dates CODE_SEGMENT Dates ; Valuation Date IF LEN(STRVAL(MONTH(EXTRACT_DATE))) = 1 THEN VAL_DATE = STRVAL(YEAR(EXTRACT_DATE)) + “0” + STRVAL(MONTH(EXTRACT_DATE)) ELSE VAL_DATE = STRVAL(YEAR(EXTRACT_DATE)) + STRVAL(MONTH(EXTRACT_DATE)) ENDIF ; Last-Year End LYE_DATE = STRVAL(YEAR(EXTRACT_DATE) – 1) + “12” ; Beginning of Current Year BOY_DATE = STRVAL(YEAR(EXTRACT_DATE)) + “01” ; Last-Month LM_M = STRVAL(NUMVAL(SUBSTR(VAL_DATE, 5, 2)) – 1) IF LEN(LM_M) = 1 THEN LM_M …
FUNCTION INSTR(BYVAL TEXT_DATA AS TEXT, BYVAL TEXT_FIND AS TEXT)AS INTEGER ; Match Sub-String and Return its Position I INTEGER J INTEGER FOR I FROM 1 TO LEN(TEXT_DATA) – LEN(TEXT_FIND) + 1 FOR J FROM 1 TO LEN(TEXT_FIND) IF SUBSTR(TEXT_FIND,J,1) <> SUBSTR(TEXT_DATA,I + J – …
Function Categories The Prophet programming language provides a wide range of functions which are grouped into the following categories: Array functions Conversion functions Dynamic functions Error / Warning functions Financial functions Logical functions Mathematical functions Product functions Read functions Run Position functions Run Progress functions Run Setting functions Statistical functions Text functions Trigonometric functions Array Functions Function Description ARRAY_INITIALISE Resizes …
Extended formulas enable more complex calculations to be carried out than standard Prophet formulas. They are also able to retain the values that they have calculated from one model point to the next and from one loop to the next in a dynamic or stochastic run. Examples of situations where extended formulas can be useful include: The calculation of commutation …
Overview The Prophet programming language is the programming language used to create and maintain formula definitions for variables in each product and library. A formula in Prophet can be specified using either: The standard Prophet language features or, The Prophet Extended Formula features. A formula created using the standard Prophet language generates values for one variable only. An extended formula …
Purpose Extended formulas enhance and extend the capabilities of the Prophet programming language. They enable more complex calculations to be carried out than standard Prophet formulas. They are also able to retain the values that they have calculated from one model point to the next and from one loop to the next in a dynamic or stochastic run. Examples of …