Actuarial Sector

The Basics

Actuarial work is built on a small set of core ideas that show up across both insurance and pensions.

Insurance concepts

• Risk is the possibility that an outcome turns out worse than expected. In insurance, this means a claim arriving, or more claims arriving than predicted.
• Premium is the amount a policyholder pays for coverage. The premium needs to be high enough to cover expected claims and costs, but competitive enough to attract customers.
• Reserve is the amount of money an insurer sets aside to cover future claims that have already been incurred but not yet paid. Getting this number right is one of the central tasks in non-life insurance.
• Mortality table is a table that shows the probability of dying at each age, based on historical data. Life insurers use these to estimate how long policyholders will live and what they will owe.
• Longevity risk is the risk that people live longer than expected. For a life insurer selling annuities, this means paying out for longer than planned.
• Survival model is a statistical model that estimates the probability of surviving to a certain age. These underpin much of the work in life insurance and pensions.

Pension concepts

• Liability is the total amount a pension fund owes to its members in future payments. Estimating this number requires making assumptions about life expectancy, inflation, and investment returns.
• Discounting is the process of converting future payments into their value today. A payment of 1000 euros in 20 years is worth less than 1000 euros today, because money can be invested in the meantime.
• Cash flow projection is a model that estimates when and how much a pension fund will need to pay out over time. These projections can run decades into the future.
• Interest rate risk is the risk that changes in interest rates affect the value of the fund's liabilities. When interest rates fall, the present value of future liabilities rises, which can put a fund under pressure.
• Coverage ratio is the ratio of a pension fund's assets to its liabilities. A ratio below 100% means the fund does not have enough assets to cover what it owes.

What You Will Do

In insurance

In a non-life insurance setting, much of your work will revolve around reserving and pricing. For reserving, you will work with claims data to estimate how much the insurer still needs to pay out on past policies. This involves cleaning and organising large datasets, running reserving models, and writing up the results for internal reporting or regulatory submissions.

For pricing, you will build or update models that estimate the expected cost of insuring a particular risk. This means working with historical claims data, identifying relevant risk factors, and fitting statistical models that can predict future costs. You will also stress-test your assumptions, for example by asking what happens to the reserve if claims turn out to be 20% higher than expected.

In life insurance, the work shifts toward mortality and longevity. You will work with mortality tables, fit survival models to policyholder data, and estimate future liabilities under different assumptions about how long people will live.

In pensions

In a pension fund setting, your main tasks will involve valuing the fund's liabilities and checking whether the fund is on track to meet its obligations. You will build and maintain cash flow projection models, update assumptions about life expectancy and investment returns, and calculate the coverage ratio.

You will also produce reports for the fund's board and for DNB, the Dutch regulator. These reports need to explain the results clearly, including what assumptions were made and how sensitive the outcomes are to changes in those assumptions. Sensitivity analysis, where you test how much the outcome changes when you adjust one input at a time, is a routine part of the job.

Methods and Models

Loss reserving: the chain-ladder method

The chain-ladder method is a standard technique for estimating reserves in non-life insurance. It works with a run-off triangle, a table that shows cumulative claims data organised by the year a policy was written and the year a claim was reported or paid.

The idea is to use historical patterns in how claims develop over time to project the final cost of claims that are not yet fully settled. You calculate development factors, which show how much claims typically grow from one period to the next, and apply them to the most recent data.

If Ci,jC_{i,j} Ci,j is the cumulative claims for accident year ii i after jj j years of development, the development factor for period jj j is:

fj=∑iCi,j+1∑iCi,jf_j = \frac{\sum_i C_{i,j+1}}{\sum_i C_{i,j}}fj=∑iCi,j∑iCi,j+1

You then project forward by multiplying the latest known value by the relevant development factors to get the estimated ultimate claim cost.

Survival models and mortality tables

A survival model estimates the probability that a person survives from age xx x to age x+tx+t x+t. The key quantity is tpx_tp_x tpx, the probability of surviving tt t years from age xx x:

tpx=exp⁡(−∫0tμx+s ds)tp_x = \exp\left(-\int_0^t \mu{x+s} , ds\right)tpx=exp(−∫0tμx+sds)

where μx+s\mu_{x+s} μx+s is the force of mortality at age x+sx+s x+s, a continuous measure of the instantaneous risk of dying. In practice, actuaries often work with discrete mortality rates qxq_x qx, the probability of dying between age xx x and x+1x+1 x+1, which are read directly from a mortality table.

The Lee-Carter model

The Lee-Carter model is widely used to project how mortality rates will change over time. It models the log of the mortality rate as:

ln⁡(μx,t)=αx+βxκt\ln(\mu_{x,t}) = \alpha_x + \beta_x \kappa_tln(μx,t)=αx+βxκt

where αx\alpha_x αx captures the average mortality pattern by age, βx\beta_x βx captures how sensitive each age group is to changes over time, and κt\kappa_t κt is a time index that captures the overall trend in mortality improvement. Once κt\kappa_t κt is estimated from historical data, it can be projected forward using a time series model to produce future mortality forecasts.

Actuarial present value

A core calculation in both life insurance and pensions is the actuarial present value (APV), which combines discounting with survival probabilities to value a stream of future payments. For a pension paying one euro per year starting at age xx x, the APV is:

APV=∑t=0∞vt⋅tpxAPV = \sum_{t=0}^{\infty} v^t \cdot {_tp_x}APV=t=0∑∞vt⋅tpx

where v=11+iv = \frac{1}{1+i} v=1+i1 is the discount factor and ii i is the interest rate. This formula says: for each future year, take the probability that the person is still alive and discount the payment back to today. The sum gives the expected present value of the total pension obligation for one member.

Good to Know

The AAG qualification

To work as a certified actuary in the Netherlands, you need the AAG title, which stands for Actuaris AG. This is a postgraduate qualification that you work toward alongside your job. It involves a series of exams covering topics like life insurance mathematics, pension actuarial practice, and risk management. Most people take several years to complete it. Employers in the actuarial sector expect you to be working toward the AAG from early in your career, and many will support you financially and give you study time.

The Actuarieel Genootschap

The Actuarieel Genootschap (AG) is the Dutch professional body for actuaries. It awards the AAG title, sets the education requirements, and maintains the professional standards that certified actuaries must follow. The AG also publishes the mortality tables that Dutch pension funds and insurers are expected to use, which are updated regularly to reflect new data on life expectancy. Being a member of the AG and holding the AAG title is what distinguishes a certified actuary from someone working in a broader actuarial or risk role.

The Wet toekomst pensioenen

The Dutch pension system is going through a major transition. The Wet toekomst pensioenen (Wtp), which came into force in 2023, requires pension funds to move from a defined benefit system to a defined contribution system. In a defined benefit system, members are promised a fixed pension based on their salary and years of service. In a defined contribution system, the pension depends on the contributions made and the investment returns achieved. This transition is one of the largest projects in the Dutch financial sector and it is creating significant demand for actuarial work. Pension funds need actuaries to help with the conversion calculations, the new valuation frameworks, and the communication of changes to members.

DNB as regulator

De Nederlandsche Bank (DNB) is the main regulator for insurers and pension funds in the Netherlands. It sets the rules for how liabilities must be valued, what coverage ratios funds must maintain, and what information must be reported. Actuaries play a central role in regulatory reporting, and some actuarial reports must be signed off by a certified actuary before they are submitted to DNB. For insurers, the relevant European framework is Solvency II, which sets out detailed requirements for capital, risk management, and reporting. Understanding what DNB expects and how Solvency II works is an important part of the job.