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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, …

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[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 …

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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 …

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[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 …

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[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 …

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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 \(A\cup (B\cap C)=(A\cup B)\cap (A\cup C))\) …

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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 …

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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 …

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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, …

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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 …

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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 …

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Coding & Programming

RiskIntegrity for IFRS17

Calculation Steps timeline title RiskIntegrity version 10 under IFRS17 for GMM & VFA BOP section Period start OPENING_CURRENT: Opening Balance at Current DR CHANGE_IN_ESTIMATES _FS_SOP: Changes in Estimates that relate to Future Service – Period Start CHANGE_IN_ESTIMATES _FINANCIAL_RISK_SOP : Changes in Estimates linked to Financial Risk – Period Start CHANGE_IN_ESTIMATES _ISR_SOP : Changes in Estimates that adjust the Insurance Service …

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Batch Functions

File Management CopyFolder Function: CopyFolder (Source As String, Target As String) As Integer Copies contents of a source folder including subdirectories to the target folder. If target folder exists then it will be deleted before copy operation is performed. Returns True(-1) if successful or False(0) if failed. Example: DeleteFolder Function: DeleteFolder (FolderName As String) As Integer Deletes a directory with …

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Elements in Axis

Types of Tables Tables are used at many levels in AXIS for many different: uses, structures, and  shapes Table Hierarchy Characteristics Cell Tables Used only by cells, or by sub-objects linked to cells Support policy level calculations at the cell level Projection Tables Used by higher level objects, such as sub-funds, funds and offices Column-specific shape Rows are financial years …

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Background There are times you are interested in summing up the results across various dimensions with specified conditions or indicators to exclude some results from the ARRAY_SUM function. There is an incident that I need to separate medical health UCOI cash flows from total medical UCOI cash flows, because there are different loss ratios for these two types of UCOI …

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Calculation Looping

What is calculation looping? Calculation looping is a process whereby parts of the calculation are repeated several times. In many ways it is similar to the rebasing facility. However, calculation looping differs from rebasing in the following ways: With calculation looping the parts that are repeated are repeated for the whole of the period of calculation. With rebasing only the …

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Goal-Seeking in Prophet

Fundamental Concepts Notes Goal-seeking cannot be used in conjunction with looped modules.  If you wish to goal seek at a product or fund level, you should use the REPEAT_LEVEL function.   Variables used in goal-seeking Variable Description SEED_VAL Seed value for first iteration. PREV_VAL Value for current iteration. NEXT_VAL Value for next iteration. IF_CONVERGED If iteration has converged.   How …

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