Actuarial modeling

Insurance is a dynamic industry demanding the continuous assessment of new and changing risks, as well as the application of new regulation and financial reporting standards. Requirements such as IFRS 17, LDTI, and climate disclosures generate exponential growth in modeling complexity and volume. Increased efficiency and reliability in actuarial modeling is essential to meet reporting deadlines and governance standards.

We help insurers confidently manage their business challenges with our understanding of risk, and our unique combination of economic content, stochastic and actuarial modeling tools, expert advice, and assistance. Free more time to focus on analysis, interpretation, and assessment with our comprehensive actuarial modeling solutions.

How can we help?

Moody’s AXIS™ Actuarial System offers an integrated, low code solution. Models can be built once and used for multiple purposes, accessing large-scale cloud compute power on demand.

01
Intelligent data

Intelligently scan and map data inputs in any logical format, remembering this mapping over time.

02
Low-code models

We provide the code you need, but leave the system open where you want flexibility. User-defined code is carried forward to future versions.

03
Multiple-use models

Configure a model once and reuse it for multiple applications including pricing, valuation, ALM, forecasting, and capital.

04
Enterprise controls

Enterprise controls such as automation, governance, user, and version control come as standard. Transparent documentation provided and maintained, for users, controllers and auditors.

Get in touch

Speak to our team today

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01 Actuarial

Actuarial

Insight to drive reporting and decision-making across the business. For pricing, reserving, asset and liability management (ALM), financial projections of earnings and capital, capital calculations, hedging, and financial and regulatory reporting.

02 Investment

Investment

Modeling of invested assets to help create an integrated investment value chain. Creation of optimal portfolios reflecting an insurer's liabilities, capital, regulatory regime, and objectives.

03 Finance

Finance

The essential components of regulatory and financial reporting, earnings analysis, projections, and financial and capital planning. Supports advanced accounting frameworks such as IFRS 17 and LDTI.

04 Risk

Risk

Help to prepare regulatory assessments or the Own Risk and Solvency Assessment (ORSA). The tools to assess how risk exposure evolves over time under different stress tests, and whether risk appetite limits have been breached.

Supporting critical management functions


Actuarial

Insight to drive reporting and decision-making across the business. For pricing, reserving, asset and liability management (ALM), financial projections of earnings and capital, capital calculations, hedging, and financial and regulatory reporting.


Investment

Modeling of invested assets to help create an integrated investment value chain. Creation of optimal portfolios reflecting an insurer's liabilities, capital, regulatory regime, and objectives.


Finance

The essential components of regulatory and financial reporting, earnings analysis, projections, and financial and capital planning. Supports advanced accounting frameworks such as IFRS 17 and LDTI.


Risk

Help to prepare regulatory assessments or the Own Risk and Solvency Assessment (ORSA). The tools to assess how risk exposure evolves over time under different stress tests, and whether risk appetite limits have been breached.


Key features of the AXIS™ system

Fully-maintained

Developed by experts and tailored to meet users’ needs, while keeping costs down.

Single integrated platform

A comprehensive modeling system for the main actuarial tasks, that can be applied to all products.

Local expert support

On-demand actuarial and technical support across the globe. Training and documentation provided.

Technology integration

Full integration for controlled access, workflow management, automation and fast job execution.


Learn more about our actuarial solutions


How we help

With more than 30 years’ experience in the life insurance market, and a service model tested and valued by a broad, global community of customers, we are a leading global provider of actuarial modeling solutions.


01 Pricing and product development

Pricing and product development

The AXIS system supports the initial design and development of new life insurance and annuity products or the redesign of existing products by:

  • Specifying detailed issue age and risk class specific product features by generating or importing product benefits values

  • Exploring distribution compensation options including commission and bonus structures

  • Defining applicable reserve methods and assumptions for multiple valuation purposes

  • Defining regulatory or internal required capital targets

  • Defining expected taxation rates and assumptions

  • Simulating sales illustrations using projected premiums and benefits

  • Projecting resulting earnings on multiple bases

  • Calculating multiple profitability and return on capital metrics

  • Solving for target values of any of the above by iterative adjustments

02 Liability valuation

Liability valuation

Based on full seriatim in force business data files for a single valuation date, the AXIS system can transform and allocate policy data to AXIS model definition and control objects created by the user, and calculate up to eight independent reserve calculations in a single run, including:

  • Local statutory reserve calculations


Solvency II best estimate liability calculations

  • Tax reserves specified by tax authority

  • Public Reporting local or international standards (e,g, US GAAP and IFRS)

  • Economic balance sheets

  • Embedded values reflecting anticipated release of future profits

  • The value of options and guarantees (TVOG) using stochastic methods

  • Capital requirements


The AXIS system can also accept multiple in force business files and multiple assumption bases, trace the movement of business and reserves through the current reporting period and generate detailed granular data files needed to support advanced accounting frameworks such as IFRS 17 and US GAAP LDTI.

03 Asset allocation and investment

Asset allocation and investment

The AXIS solution can import data files of investments in force at a starting date and then generate the following Financial Projection details on a monthly, quarterly or annual basis for up to 100 years:

  • Detailed cashflows such as bond coupons, mortgage and rental payments, dividends, capital repayments, administration fees and expenses

  • Asset movements arising from maturities, defaults, sales, prepayments, and calls

  • Earnings and income statement details such as earned income, amortization of realized and unrealized gains and losses (including IMR and AVR), amortization of premium and discount, and gain/loss on defaults

  • Balance sheet values and in-force statistics, including par values, book values, market values, accrued income, C1 required surplus, and so on

  • Multiple asset accounting bases available


The AXIS system links to the Moody's structured cashflow engine for modeling structured finance assets such as residential mortgage-backed securities (RMBS), commercial mortgage-backed securities (CMBS), asset-backed securities (ABS), or collateralized mortgage/debt/loan obligations (CMO/CDO/CLO).

04 Risk and capital

Risk and capital

Supports financial reporting requirements for a vast array of purposes and regulatory risk-based capital calculations (Solvency II, C-ROSS, NAIC, Hong Kong RBC). Offering a complete and seamless integration of modeling functionality that can be applied to a single policy, a product or product group, a line of business, or entity level.

The AXIS system models in-force portfolios and new business sales plans, required for the calculations of various global capital frameworks and their projection over time.

Where stochastic calculations are needed, the AXIS system can handle them at time 0, and nested into projections at multiple levels.

05 Earnings and performance analysis

Earnings and performance analysis

Based on the starting valuation of a detailed seriatim portfolio of in force business, and actual experience assumptions for investments, mortality, lapse and expense, the AXIS system can be used for:

  • Analysis of the impact of margins with reserves, by assumption

  • Movement analysis reports (policy count, sums insured. reserves, etc.) on a planned or actual basis

  • Source of earnings analysis of the projected and actual earnings by the major sources of profit (also called gain and loss analysis) for a product line or line of business, including the analysis reserve change and earnings by individual assumption

  • Experience analysis of actual experience vs. expected experience or actual to exposure rates on a chosen assumption, such as mortality or lapse, for purposes of assumption refinement

06 Business planning

Business planning

Robust actuarial modeling drives key business functions of profitability analysis and business and capital planning. Asset, liability and capital calculations for current reporting are the foundation for projected financials, on multiple bases for up to 100 years. Assets and liabilities dynamically interact based on the economic scenario path and chosen reinvestment strategies.

Informed profitability and earnings analysis requires flexibility by product and company practice, and calculation of the following metrics:

  • Detailed cashflows such as bond coupons, mortgage and rental payments, dividends, capital repayments, administration fees and expenses

  • Economic basis (cash flow)

  • Earnings (stat, gaap, internal)

  • ROE/ROI (Impact on free surplus)

  • Embedded value (EEV)

  • VAR/CTE

  • Company specific formulas


Profitability analysis and business planning also require sensitivity analysis and stress testing capabilities (What If? analysis) which demand agility, performance, quality and dynamic asset liability interaction.

07 Stress testing and ORSA

Stress testing and ORSA

Fundamental to the Own Risk and Solvency Assessment (ORSA), or regional equivalent. Applied at the company level or to pricing and planning decisions at product or product line levels. The ability to test deterministic scenarios of single or multiple interacting stress events or trends in economic and experience assumptions.

The AXIS actuarial models allow definition and application of a wide variety of stress scenarios. To a book of business, a portfolio of investments or consistently across the insurance operations in total and reveal the impact on all profit metrics, earnings and capital ratios. Reverse stress testing can be used to estimate the required deterioration in a given assumption to hit a defined impact on any of these measures through an automatic iterative process. Stresses can be combined with management actions including reinsurance, repricing, investment strategies and hedging or sales plan adjustments to provide management with a realistic and comprehensive narrative.

Pricing and product development

The AXIS system supports the initial design and development of new life insurance and annuity products or the redesign of existing products by:

  • Specifying detailed issue age and risk class specific product features by generating or importing product benefits values

  • Exploring distribution compensation options including commission and bonus structures

  • Defining applicable reserve methods and assumptions for multiple valuation purposes

  • Defining regulatory or internal required capital targets

  • Defining expected taxation rates and assumptions

  • Simulating sales illustrations using projected premiums and benefits

  • Projecting resulting earnings on multiple bases

  • Calculating multiple profitability and return on capital metrics

  • Solving for target values of any of the above by iterative adjustments

Liability valuation

Based on full seriatim in force business data files for a single valuation date, the AXIS system can transform and allocate policy data to AXIS model definition and control objects created by the user, and calculate up to eight independent reserve calculations in a single run, including:

  • Local statutory reserve calculations


Solvency II best estimate liability calculations

  • Tax reserves specified by tax authority

  • Public Reporting local or international standards (e,g, US GAAP and IFRS)

  • Economic balance sheets

  • Embedded values reflecting anticipated release of future profits

  • The value of options and guarantees (TVOG) using stochastic methods

  • Capital requirements


The AXIS system can also accept multiple in force business files and multiple assumption bases, trace the movement of business and reserves through the current reporting period and generate detailed granular data files needed to support advanced accounting frameworks such as IFRS 17 and US GAAP LDTI.

Asset allocation and investment

The AXIS solution can import data files of investments in force at a starting date and then generate the following Financial Projection details on a monthly, quarterly or annual basis for up to 100 years:

  • Detailed cashflows such as bond coupons, mortgage and rental payments, dividends, capital repayments, administration fees and expenses

  • Asset movements arising from maturities, defaults, sales, prepayments, and calls

  • Earnings and income statement details such as earned income, amortization of realized and unrealized gains and losses (including IMR and AVR), amortization of premium and discount, and gain/loss on defaults

  • Balance sheet values and in-force statistics, including par values, book values, market values, accrued income, C1 required surplus, and so on

  • Multiple asset accounting bases available


The AXIS system links to the Moody's structured cashflow engine for modeling structured finance assets such as residential mortgage-backed securities (RMBS), commercial mortgage-backed securities (CMBS), asset-backed securities (ABS), or collateralized mortgage/debt/loan obligations (CMO/CDO/CLO).

Risk and capital

Supports financial reporting requirements for a vast array of purposes and regulatory risk-based capital calculations (Solvency II, C-ROSS, NAIC, Hong Kong RBC). Offering a complete and seamless integration of modeling functionality that can be applied to a single policy, a product or product group, a line of business, or entity level.

The AXIS system models in-force portfolios and new business sales plans, required for the calculations of various global capital frameworks and their projection over time.

Where stochastic calculations are needed, the AXIS system can handle them at time 0, and nested into projections at multiple levels.

Earnings and performance analysis

Based on the starting valuation of a detailed seriatim portfolio of in force business, and actual experience assumptions for investments, mortality, lapse and expense, the AXIS system can be used for:

  • Analysis of the impact of margins with reserves, by assumption

  • Movement analysis reports (policy count, sums insured. reserves, etc.) on a planned or actual basis

  • Source of earnings analysis of the projected and actual earnings by the major sources of profit (also called gain and loss analysis) for a product line or line of business, including the analysis reserve change and earnings by individual assumption

  • Experience analysis of actual experience vs. expected experience or actual to exposure rates on a chosen assumption, such as mortality or lapse, for purposes of assumption refinement

Business planning

Robust actuarial modeling drives key business functions of profitability analysis and business and capital planning. Asset, liability and capital calculations for current reporting are the foundation for projected financials, on multiple bases for up to 100 years. Assets and liabilities dynamically interact based on the economic scenario path and chosen reinvestment strategies.

Informed profitability and earnings analysis requires flexibility by product and company practice, and calculation of the following metrics:

  • Detailed cashflows such as bond coupons, mortgage and rental payments, dividends, capital repayments, administration fees and expenses

  • Economic basis (cash flow)

  • Earnings (stat, gaap, internal)

  • ROE/ROI (Impact on free surplus)

  • Embedded value (EEV)

  • VAR/CTE

  • Company specific formulas


Profitability analysis and business planning also require sensitivity analysis and stress testing capabilities (What If? analysis) which demand agility, performance, quality and dynamic asset liability interaction.

Stress testing and ORSA

Fundamental to the Own Risk and Solvency Assessment (ORSA), or regional equivalent. Applied at the company level or to pricing and planning decisions at product or product line levels. The ability to test deterministic scenarios of single or multiple interacting stress events or trends in economic and experience assumptions.

The AXIS actuarial models allow definition and application of a wide variety of stress scenarios. To a book of business, a portfolio of investments or consistently across the insurance operations in total and reveal the impact on all profit metrics, earnings and capital ratios. Reverse stress testing can be used to estimate the required deterioration in a given assumption to hit a defined impact on any of these measures through an automatic iterative process. Stresses can be combined with management actions including reinsurance, repricing, investment strategies and hedging or sales plan adjustments to provide management with a realistic and comprehensive narrative.


GridLink-as-a-Service (GlaaS)

GlaaS is a fully automated service that lets you submit AXIS actuarial modeling jobs to a cloud-based infrastructure for processing.

  • Cost-effective, pay-per-use

  • No upfront fees

  • For regular use, pre-paid blocks of core hours available 

Actuarial Modeling

Case studies

case study
Seguros RGA selects Moody's Analytics for IFRS 17
case study
Funde Sino Life selected the AXIS solution to automate, standardize and improve their models and processes to be ready for IFRS17

News and views

podcast
Climate scenario analysis for the insurance sector

The industry is still in the early stages of its climate scenario development and it has become a priority for many insurers to start to understand and develop best practices. But where do you start?

Our podcast series is dedicated to understanding climate scenario modeling, the different approaches and developing regulations.

article
Using Machine Learning in Actuarial Modeling to improve model efficiency through better clustering

Artificial intelligence (AI) and in particular machine learning are increasingly becoming a popular and important component of an actuary’s toolkit. As the amount of data available to actuaries continues to increase, these techniques can allow them to extract more insight; which improves the quality of their analysis, and the resulting decisions the insurer makes.

article
Integrating scenario generation and actuarial models to accelerate the modeling process

This paper sets out how Moody’s has integrated our Scenario Generation and Actuarial Modeling tools, to deliver a solution that allows insurers to run both models, without the need for manual intervention or file conversions. This reduces the operational risk that insurers are otherwise exposed to and the overall runtime of the modeling process; which increases the efficiency and flexibility of the modeling team.

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RiskIntegrity™ for IFRS 17

Integrates with your existing infrastructure to connect data, models, systems, and processes between actuarial and accounting functions.

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RiskIntegrity™ for LDTI

Seamless integration of software components to fulfil your individual requirements and save on upfront technology and modeling investments.

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SOC for service organizations

Moody’s has received System and Organization Controls (SOC 1 Type 2 and SOC 2 Type 2) reports for RiskIntegrity™ for IFRS 17, RiskIntegrity™ Insight, AXIS GridLink-as-a-Service and Scenario Generator Cloud Burst solutions.   
 
SOC reports provide independent attestation of security controls and operating effectiveness

Actuarial Modeling

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