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PROPORTIONALITY - LEVEL 2 MEASURES
CEIOPS-CP-45/09, 2 July 2009, Consultation Paper No. 45
Draft CEIOPS’ Advice for Level 2 Implementing Measures on Solvency II: Technical Provisions – Article 85 h, Simplified methods and techniques to calculate technical provisions
 
3. Advice
3.1 Proportionality

3.1.1 Role of proportionality in the valuation of technical provisions

3.1 This sub-section considers the overall purpose and role of a
proportionality assessment in the valuation of technical provisions.
 
It first sets out how such an assessment is interlinked with the selection of an appropriate valuation methodology.
 
It then considers the notion of estimation uncertainty (or model error) and sets out why this is central to a proportionality assessment.
 
Finally, it introduces the notions of “simplified methods” and approximations and considers their role in the valuation
process.

Selection of valuation methodology

3.2 Solvency II envisages a principles-based approach to the valuation of technical provisions.
 
This means that the regulatory requirements relating to the valuation process would generally not prescribe any specific
approaches
to carrying out the valuation.
 
Instead, there will typically be a range of different approaches which are available to the (re)insurance undertaking, which then has to select a valuation methodology which is appropriate with regard to the valuation principles established under
Solvency II.

3.3 Within this context, the principle of proportionality requires that the (re)insurance undertaking should be
allowed to choose and apply a valuation method which is:

• Suitable to achieve the objective of deriving a market-consistent valuation according to the Solvency II principles; but
 
• Not more sophisticated than is needed in order to reach this objective.

3.4 Considering that the valuation of technical provisions under Solvency II aims at properly reflecting the risks underlying the obligations, this means that undertakings should be allowed to choose valuation methods which are:

• Compatible with the Solvency II valuation principles; and

• Proportionate to the nature, scale and complexity of the risks

3.5 In this way application of the principle of proportionality allows a reduction of the complexity of the valuation methodology where this is still proportionate to the underlying risk profile of the portfolio, enabling (re)insurance undertakings to minimise resources in form of e.g. actuarial expertise or IT implementation costs.

3.6 It is noted that in the recitals to the Level 1 text, the importance of the principle of proportionality is explicitly linked to the
need to avoid excessive strain on small and medium-sized undertakings
 
This does however not mean that an application of the principle of proportionality is restricted to small and medium-sized undertakings, nor does it mean that size is the only relevant factor when the principle is considered.
 
Instead, the individual risk profile should be the primary guide in assessing the need to apply the proportionality principle.
 
Hence where a (simplified) valuation technique is proportionate to the underlying risks and compatible with the Solvency II valuation techniques, it would be appropriate for application by the (re)insurance undertaking irrespective of its size.

Estimation uncertainty and its link to proportionality

3.7 Due to the uncertainty of future events, any “modelling” of future cash (implicitly or explicitly contained in the valuation methodology) flows will necessarily be imperfect, leading to a certain degree of inaccuracy and imprecision in the measurement.
 
Sources for this estimation uncertainty or “model error” are for example the possibility that the assumptions and parameters used in the model are incorrect, or that the model itself is deficient.
 
-----------------------------------------------------------------------------------------------
[In the following, the terms “estimation uncertainty” and “model error” are used synonymously.
 
Hence the term “model error” is uses in a broad sense, comprising the possibility that the assumptions and parameters
used in the model are incorrect (in other sources, this latter risk is sometimes denoted as
“parameter risk” as distinguished from model risk).

In this context, uncertainty does not refer to the randomness of future outcomes (sometimes referred to as
volatility risk or process risk), but to the fact that the nature of this randomness is itself unknown.
 
The uncertainty of the risk in terms of volatility risk or process risk is an inherent quality of the risk (independent
of the valuation method applied) and is assessed as part of the nature of the risk]
----------------------------------------------------------------------------------

3.8 Where simplified approaches are used to value technical provisions,
this could potentially introduce additional uncertainty (or model error).
 
This is the case since:

• Often
simplified method are used in situations where there is a lack of undertaking-specific claims data, in which case the setting of the parameters and assumptions used in the method will usually require a considerable amount of judgment; and
 
Due to its simplicity the method may not be able to fully capture the nature, scale and complexity of the risks arising from the contracts.

3.9 The degree of model error in the measurement of technical provisions is closely linked to the reliability and suitability of the valuation.
 
Indeed, the higher the estimation uncertainty, the more difficult it will be for the (re)insurance undertaking to rely on the estimation and to verify that it is suitable to achieve the objective of deriving a market-consistent valuation according to the Solvency II principles.

3.10 With regard to the principle of proportionality, these considerations show that the crucial point in applying this principle consists in assessing the model error that results from the use of a given valuation technique.

Simplified methods
3.11 Typically, there will be a range of different valuation methods available to the (re)insurance undertaking, differing in their degree of complexity and sophistication.
 
Following the proportionality principle as expressed in para. 3.4 will enable the undertaking to simplify a given valuation method in case where the simplified method is still proportionate to the underlying risks.

3.12 In this case, the term
“simplified method” would refer to a situation where a specific valuation technique has been simplified in line with the proportionality principle.
 
In a loose sense, the term “simplified method” (or “simplification”) could also be used to refer to a valuation method
which is considered to be simpler than more complex “commonly used” methods.

3.13 However, it should be noted that any such distinction between “simplified” and “non-simplified” methods would necessarily be rather vague and is unlikely to lead to a clear categorisation of methods.
 
This is so because:
 
• A method which is appropriate for an (re)insurance undertaking’s particular book of business need not be appropriate for the book of business of another undertaking, even within the same line of business; hence it would be difficult to define any “default” methods which would be appropriate for all undertakings;

• Within a line of business, it is common practice for different valuation methods to be applied, hence in general
there is no single “best practice” method which could be used as a benchmark or reference;

• Best practice evolves over time, and so likewise any notion of what is considered as “more simple” than best practice would not be static;

• Even where a benchmark method could be established, in practice it would be very difficult to decide whether a given valuation method is more simple than the benchmark method.

3.14 In light of these considerations, it would not seem appropriate to introduce in Level 2 (on basis of a "hard" definition of what can be considered to be a “simplified” method) a categorisation of the range of available methods for the valuation of technical provisions into “simplified” methods and “non-simplified” methods.

Approximations
3.15 For the valuation of technical provisions, the amount and quality of the statistical data underlying the calculation is of central importance.
 
The Level 1 text therefore stipulates that (re)insurance undertakings should have in place internal processes and procedures to ensure the appropriateness, completeness and accuracy of such data.

3.16 Under certain circumstances, however, it will be unavoidable for the undertaking to have only insufficient company-specific data of appropriate quality to apply a reliable statistical actuarial method for the determination of technical provisions.
 
It is therefore important to develop valuation techniques which would substitute a lack of company-specific data by e.g.
using external market information.

3.17 In the Solvency II debate,
the term “proxy” was introduced to denote such valuation techniques.
 
In view of their practical relevance, a number of proxy techniques have been included in the QIS4 exercise.
 
In the Level 1 text, such techniques are referred to as “approximations”.
 
3.18 Where approximation techniques are applied these would typically be based on a fixed set of assumptions and would tend to be less complex than techniques which carry out explicit cash flow projections based on undertaking-specific data.
 
Approximations may therefore often be regarded as a specific kind of simplified methods (where the simplification
is due to a lack of data).

Role of simplified methods in the valuation framework

3.19 We note that CEIOPS has laid out advice with regard to actuarial and statistical methodologies for the calculation of the best estimate (as requested in Article 85(a)).
 
This has regard to:

• The quality and selection of valuation techniques;

• The elements that need to be taken into account when estimating the future cash-flows;

• The setting of assumptions underlying the valuation; and

• The validation methods for ensuring the quality of the valuation.

3.20 Where the (re)insurance undertaking selects a valuation methodology (irrespective of whether this is regarded as a simplified method or an approximation), it should be appropriate for the calculation of the technical provision.
 
Hence, the principles-based expectations and requirements set out in CEIOPS’ advice as referred to above are intended
to apply generally, including the use of approximations and simplified methods and techniques.

3.21 In this context, it is noted that Consultation Paper 26 introduces a distinction between simulation, analytic and deterministic techniques.
 
A (stochastic) simulation technique would involve choosing a (suitably large) number of scenarios which are representative of all possible futures, as for example in a Monte Carlo simulation.
 
In contrast, analytical techniques (based on closed-form solutions) and deterministic techniques (based on a fixed set of assumptions) would generally be less complex and capture the uncertainty in the valuation in a more implicit way.
 
Hence it can be expected that simplified methods or approximations would typically lead to an application of analytic or deterministic techniques.

3.22 In the same way, the principle of proportionality should apply generally when a valuation methodology is chosen, allowing (re)insurance undertakings the flexibility to select a technique which is proportionate to the nature, scale and complexity of the underlying risks:
 
 
The following sub-sections will elaborate further on how such a proportionality assessment could be carried out.

3.23 Notwithstanding, following Article 85(h) it could be contemplated to specify individual simplified methods under Level 2 which (re)insurance undertakings may use under certain conditions, thus complementing the principles-based approach to the valuation of technical provisions.
 
The feasibility of this option – with regard to individual components of the valuation such as best estimate, risk margin and reinsurance recoverables – is discussed in section 3.2 below.
 

 
PROPORTIONALITY - LEVEL 2 MEASURES
CEIOPS-CP-45/09, 2 July 2009, Consultation Paper No. 45
 
1. Introduction

2. Advice - Proportionality

3. Proportionality Assessment – A three step process

4. Simplified Methods

5. Reinsurance Recoverables

6. Annex A: Gross-to-net Techniques
 
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