C.2. Principal assumptions
C.2.1. Life assurance liabilities
Actuarial assumptions and their sensitivities underlie the insurance calculation. The life assurance liability is calculated by a prospective net premium valuation (see C.1.13.4) using the same statistical data and interest rates used to calculate premium rates (in accordance with relevant national legislation). The assumptions used are locked-in at policy inception and remain in force until expiry of the liability. The adequacy of insurance liabilities is tested with a liability adequacy test (see C.2.3.).
The guaranteed technical rate of interest included in policies varies from 1.3% to 6% according to the actual technical rate used in determining the premium.
As a part of the life assurance liability, an additional provision is established in respect of bonuses payable under certain conditions, referred to as “special bonuses”. This provision corresponds to the value of special bonuses calculated using the prospective method and using the same interest rate and mortality assumptions used to calculate the basic life assurance liability. No allowance is made for lapses.
C.2.2. Non-life insurance liabilities
As at the end of the reporting period, a provision is made for the expected ultimate cost of settling off all claims incurred in respect of events up to that date, whether reported or not, together with related claims handling expenses, less amounts already paid.
The liability for reported claims (RBNS) is assessed on a separate case-by-case basis with due regard to the claim circumstances, information available from loss adjusters and historical evidence of the size of similar claims. Case reserves are reviewed regularly and are updated as and when new information arises.
The estimation of claims incurred but not reported (IBNR) is generally subject to a greater degree of uncertainty than reported claims. IBNR provisions are predominantly assessed by the Company’s actuaries using statistical techniques such as chain ladder methods, whereby historical data is extrapolated in order to estimate ultimate claims costs.
To the extent that these methods use historical claims development information, they assume that the historical claims development pattern will occur again in the future. There are reasons why this may not be the case, which, insofar as they can be identified, have been allowed for by modifying the methods. Such reasons include:
a) economic, legal, political and social trends (resulting in different than expected levels of inflation);
b) changes in the mix of insurance contracts incepted;
c) random fluctuations, including the impact of large losses.
IBNR provisions are initially estimated at a gross level and a separate calculation is carried out to estimate the size of reinsurance recoveries.
The assumptions which have the greatest effect on the measurement of non-life insurance liabilities insurance are as follows:
“Tail” factors
For long-tail business, the level of provision is significantly influenced by the estimate of the development of claims from the latest development year for which historical data is available to ultimate settlement. These “tail” factors are estimated prudently using mathematical curves, which project observed development factors.
Annuities
In motor third party liability insurance (MTPL) and other third party liability lines, part of the claims payment may be in the form of an annuity. The provision for such claims is established as the present value of expected future claims payments.
The key assumptions involved in the calculation are the discount rate, the expected increase in wages and disability pensions which influence the amount of annuities to be paid. The Company follows guidance issued by the Czech Insurers’ Bureau in setting these assumptions.
Under current legislation, future increases in disability pensions are set by governmental decree and may be subject to social and political factors beyond the Company’s control. The same applies to the real future development of annuity inflation (it is also dependent on governmental decrees).
Discounting
With the exception of annuities, non-life claims provisions are not discounted. For annuities discounting is used as described in the table below.
| 2015 | 2016–2025 | from 2026 | |
|---|---|---|---|
| Discount rate | 2.0% | 2.0% | 2.0% |
| Annuity inflation | |||
– Wages inflation | 2.5% | 4.5% | 4.0% |
– Pensions inflation | 1.5% | 1.5% | 4.0% |
The rates shown above reflect the economic situation in the Czech Republic and are bound to Czech Crown.
In addition, the Company takes mortality into account through the use of mortality tables recommended by the Czech Insurers’ Bureau.
C.2.3. Liability adequacy test (LAT)
C.2.3.1. Life assurance
The life assurance liabilities are tested as at the end of each reporting period against a calculation of the minimum value of the liabilities using explicit and consistent assumptions of all factors. Input assumptions are updated regularly based on recent experience. The principle of LAT is a comparison of the minimum value of the liabilities (the risk adjusted value of the cash-flows discounted by risk free-rate) arising from lines of business with the corresponding statutory provision.
Due to the levels of uncertainty in the future development of the insurance markets and the Company’s portfolio, the Company uses margins for risk and uncertainty within liability adequacy tests. Margins are calibrated to be consistent with the result of risk valuation in the Internal Model (FV Liabilities calculation for Solvency II purpose).
The principal assumptions used (see note C.2.4.1) are:
The LAT is performed on lines of business separately. There is no interaction between different lines of business in the model and no offset of the LAT results between individual lines of business is allowed. Segmentation is currently based on the main risk drivers as follows:
- Protection – includes all the products classified as Accident and Disability and Pure Risk;
- Unit Linked – products where policyholder bear the investment risk;
- Saving – all the other products not already included in the previous classes.
Mortality
For mortality assumptions, the analyses of Company’s portfolio past experience and population mortality is used. The experience portfolio mortality rates are calculated separately for each portfolio group, age group, and gender.
Persistency
Estimates for lapses and surrenders are based on the Company’s past experience and Company´s future expectations.
Expense
The expenses assumptions are derived from the latest forecasts, following the Generali CEE Holding guidance on unit costs. The expenses are increased by the inflation rate.
Discount rate
The discount rate is equal to risk-free yield curve reported by EIOPA for the Czech Republic. We consider this curve appropriate for the LAT test and portfolio of the Company.
Interest rate guarantee
The interest rate guarantee is calculated using internal model calibrated to MCEV valuation of financial options and guarantees (FO&G), which includes comprehensive view on assets and liabilities of the Company. The calibration is based on the last known time value of FO&G arising from the stochastic model in MCEV and the expected development of volatilities. The model reflects the actual yield curve.
Profit sharing
While, for most life assurance policies, the amount and timing of the bonus to policyholders is at the discretion of the Company, the assessment of liability adequacy takes future discretionary bonuses, calculated as a fixed percentage of the excess of the risk-free rate over the guaranteed technical interest rate on individual policies, into account. The percentage applied is consistent with the Company’s current business practices and expectations for bonus allocation.
Annuity option
The option to choose between a lump sum payment and an annuity is available to policyholders under annuity insurance. For the purposes of the liability adequacy test, the Company assumes an annuity option take-up rate increasing from the level of 1% – 4% (current level based on internal analysis) to 5% – 10% (future expected market development) in the long-term horizon for all eligible policyholders.
C.2.3.2. Investment contracts with Discretionary Participation Features (DPF)
Investments contracts with DPF are included within the liability adequacy test for life insurance as described above.
C.2.3.3. Non-life insurance
Contrary to life insurance, insurance liabilities connected with non-life insurance are calculated by using current (not historical) assumptions and therefore generally no additional liabilities are established for outstanding claims as a result of a liability adequacy test.
The possible inadequacy of non-life technical provisions assessed by a liability adequacy test for non-life insurance could be therefore caused by the unexpired portion of existing contracts. The test compares the estimates of future cash-flows with booked amounts of technical reserves. For unexpired portion of existing contracts it means comparing the expected value of claims and expenses attributable to the unexpired periods of policies in force at the end of the reporting period with the amount of unearned premiums in relation to such policies after deducting deferred acquisition costs. Expected cash flows relating to claims and expenses are estimated by reference to the experience during the expired portion of the contract, adjusted for significant individual losses which are not expected to recur.
The test is performed by product groups which comprise insurance contracts with a similar risk profile.
For annuities, the assumptions used to establish the provision include all future updated cash flows with changes being recognised immediately in the income statement. As such, no separate liability adequacy test is required to be performed.
In case of negative result of the non-life liability adequacy test the deferred acquisition costs are decreased. If the result is still negative the provision for unexpired risk is created.
C.2.4. Significant variables
Profit or loss recognized on insurance contracts and insurance liabilities are mainly sensitive to changes in mortality, lapse rates, expense rates, discount rates and annuities which are estimated for calculating adequate value of insurance liabilities during the LAT.
The Company has estimated the impact on profit for the year and equity as at the year-end for changes in key variables that have a material impact on them.
C.2.4.1. Life insurance
According to Liability Adequacy Test life statutory reserves are sufficiently adequate in comparison to minimum value of the liabilities and changes in variables have no impact on profit for the year and equity.
Life assurance liabilities as at 31 December 2015 according to the Liability Adequacy Test were not sensitive to a change in any variable. Life assurance liabilities as at 31 December 2014 were not sensitive to a change in any variable as well.
The decrease and increase by 10% in mortality rate, lapse rate, expense rate and a 100 bp decrease and increase in the discount rates were tested. Changes in variables represent reasonably possible changes in variable which represent neither expected changes in a variable nor worst-case scenarios. The analysis has been prepared for a change in variable with all other assumptions remaining constant and ignores changes in the values of the related assets.
C.2.4.2. Non-life insurance
In non-life insurance, variables that would have the greatest impact on insurance liabilities relate to annuities.
| In CZK million, for the year ended 31 December 2015 Variable | Change in variable | Change in insurance liabilities (gross) | Change in insurance liabilities (net) |
|---|---|---|---|
| Discount rate | (100) bp | 379 | 239 |
| Pension growth rate | 100 bp | 371 | 235 |
| In CZK million, for the year ended 31 December 2014 Variable | Change in variable | Change in insurance liabilities (gross) | Change in insurance liabilities (net) |
|---|---|---|---|
| Discount rate | (100) bp | 421 | 266 |
| Pension growth rate | 100 bp | 408 | 260 |