IFoA SA2 study materials
IFoA SA2 study resources

IFoA SA2 key terms

IFoA SA2 · Get comfortable with the vocabulary.

Gross premium reserve

The fund an insurer must hold, calculated on the same prudent basis as premiums but including explicit margins for future expenses and profit, to meet future policy obligations.

Related: Net premium reserve, Best estimate liability, Resilience capital
Net premium reserve

A policy reserve calculated using a premium that covers only mortality and interest, ignoring expenses, so the reserve implicitly includes the value of future expense loadings.

Related: Gross premium reserve, Zillmerised reserve, Modified reserve
Zillmerised reserve

A modified net premium reserve that deducts the unamortised initial acquisition expenses from the reserve, subject to the reserve not falling below zero.

Related: Modified reserve, Net premium reserve, Recovery period
Resilience capital

The extra capital an insurer holds so it can withstand specified adverse scenarios, such as a fall in asset values or a rise in interest rates, without breaching its capital requirements.

Related: Risk margin, Gross premium reserve, Matching adjustment
Risk margin

An addition to the best estimate liability representing the compensation a third party would require to take on the insurance obligations, reflecting non-hedgeable risk.

Related: Best estimate liability, Resilience capital, Cost of capital
Best estimate liability

The expected present value of future cash flows from in-force business, calculated using realistic assumptions without prudential margins.

Related: Risk margin, Gross premium reserve, Matching adjustment
Matching adjustment

An addition to the discount rate applied to certain long-term liabilities, allowing insurers to recognise part of the spread earned on matching assets that are held to maturity.

Related: Best estimate liability, Reinvestment risk, Asset-liability modelling
Asset-liability modelling

The projection of asset and liability cash flows under many scenarios to test solvency, liquidity and the sensitivity of surplus to changes in markets and experience.

Related: Matching adjustment, Reinvestment risk, Deterministic projection
Deterministic projection

A single-scenario projection of future cash flows or reserves using one fixed set of assumptions, useful for base-case results but not for measuring the range of outcomes.

Related: Stochastic projection, Asset-liability modelling, Sensitivity analysis
Stochastic projection

A projection in which economic or demographic assumptions are generated randomly many times, producing a distribution of outcomes rather than one path.

Related: Deterministic projection, Real-world simulation, Risk-neutral valuation
Risk-neutral valuation

Pricing or valuing cash flows using probabilities adjusted so that all assets earn the risk-free rate, which gives market-consistent values for tradable risks.

Related: Stochastic projection, Real-world simulation, Market-consistent embedded value
Real-world simulation

A projection using assumptions believed to reflect actual future experience, including risk premia, used for solvency and business planning rather than market pricing.

Related: Risk-neutral valuation, Stochastic projection, Asset-liability modelling
Market-consistent embedded value

An embedded value that values assets and liabilities on market-consistent assumptions, with the shareholder-owned portion of future profits discounted at a risk-free rate.

Related: European embedded value, Risk-neutral valuation, Value of new business
European embedded value

An embedded value framework allowing some use of real-world assumptions and a risk discount rate above the risk-free rate, with disclosures on the effect of assumption changes.

Related: Market-consistent embedded value, Value of new business, Risk discount rate
Value of new business

The present value of expected future profits from business written in a period, measured at the point of sale on the reporting embedded value basis.

Related: European embedded value, New business strain, Risk discount rate
New business strain

The reduction in surplus or capital at the point of sale when initial expenses and required reserves exceed the first premium received.

Related: Value of new business, Recovery period, Modified reserve
Recovery period

The time taken for the accumulated surplus from a policy to return to zero after the initial strain at outset, given expected future profits.

Related: New business strain, Zillmerised reserve, Value of new business
Risk discount rate

The rate used to discount future shareholder profits in an embedded value or appraisal value calculation, reflecting the required return on capital.

Related: European embedded value, Value of new business, Cost of capital
Cost of capital

The return shareholders require on the capital tied up in the business; in a risk margin it is the rate applied to required capital over the run-off period.

Related: Risk margin, Risk discount rate, Resilience capital
Solvency capital requirement

The amount of eligible capital an insurer must hold so that it can absorb a specified one-year shock at a defined confidence level without failing.

Related: Minimum capital requirement, Risk margin, Internal model
Minimum capital requirement

The lower threshold of capital below which supervisory intervention is triggered, calculated by a simpler formula than the full solvency requirement.

Related: Solvency capital requirement, Own risk and solvency assessment, Internal model
Own risk and solvency assessment

An insurer's own forward-looking assessment of the risks it faces and the capital needed over the business planning horizon, submitted to the supervisor.

Related: Solvency capital requirement, Internal model, Resilience capital
Internal model

A firm's own risk-sensitive model, approved by the supervisor, used to calculate the solvency capital requirement instead of the standard formula.

Related: Solvency capital requirement, Own risk and solvency assessment, Model validation
Model validation

The process of demonstrating that a model is fit for purpose, including review of assumptions, data, methodology and results against independent evidence.

Related: Internal model, Sensitivity analysis, Experience analysis
Experience analysis

The comparison of actual mortality, lapse, expense and investment experience against the assumptions previously made, used to set and revise bases.

Related: Model validation, Mortality improvement, Persistency
Persistency

The proportion of policies that remain in force over a period; low persistency means high lapse or surrender rates and lost future profit.

Related: Lapse risk, Experience analysis, Surrender value
Lapse risk

The risk of financial loss because policyholders terminate cover earlier or later than assumed, changing expense recovery, reserves and asset-liability matching.

Related: Persistency, Mass lapse scenario, Surrender value
Mass lapse scenario

A severe stress in which a large proportion of policyholders surrender at once, testing liquidity and the capital needed to fund surrender values.

Related: Lapse risk, Liquidity risk, Solvency capital requirement
Surrender value

The amount paid to a policyholder who terminates a savings or protection policy early, often less than the reserve or accumulated fund.

Related: Persistency, Lapse risk, Paid-up policy
Paid-up policy

A policy kept in force with no further premiums, where the sum assured is reduced to reflect the premiums already paid.

Related: Surrender value, Persistency, Non-forfeiture
Mortality improvement

The continuing fall over time in death rates at a given age, which raises the cost of annuities and longevity-linked liabilities.

Related: Longevity risk, Experience analysis, Cohort effect
Longevity risk

The risk that people live longer than assumed, increasing the cost of pensions and annuities and the reserves held for them.

Related: Mortality improvement, Cohort effect, Longevity swap
Cohort effect

The tendency for people born in a particular year or period to experience systematically different mortality from earlier generations at the same age.

Related: Mortality improvement, Longevity risk, Mortality table
Mortality table

A tabulation of death rates by age and sex, often with projected improvements, used to price and reserve for life and annuity business.

Related: Cohort effect, Mortality improvement, Select period
Select period

The initial years after underwriting during which mortality is lower than for lives of the same age accepted some time earlier, because of selection effects.

Related: Mortality table, Underwriting, Experience analysis
Longevity swap

A derivative in which an insurer or pension scheme exchanges fixed payments for actual longevity experience, transferring longevity risk to a counterparty.

Related: Longevity risk, Mortality improvement, Basis risk
Basis risk

The risk that a hedging instrument does not move exactly in line with the liability being hedged, leaving residual exposure.

Related: Longevity swap, Matching adjustment, Asset-liability modelling
Liquidity risk

The risk that an insurer cannot meet cash outflows when due without incurring unacceptable losses from selling assets quickly.

Related: Mass lapse scenario, Asset-liability modelling, Surrender value
Reinvestment risk

The risk that coupons and maturing proceeds must be reinvested at lower yields than assumed, reducing future returns and surplus.

Related: Matching adjustment, Asset-liability modelling, Interest rate risk