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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
 
3.2.3 Reinsurance recoverables

3.2.3.1 Introduction

3.147 This sub-section considers the use of simplified approaches for the determination of non-life reinsurance recoverables and technical provisions net of reinsurance.

3.148 The approaches considered represent Gross-to-Net techniques meaning that it is presupposed that an estimate of the technical provisions gross of reinsurance (compatible with the Solvency II valuation principles) is already available.
 
The techniques are applied to derive estimates of reinsurance recoverables and the provisions net of reinsurance on basis of
these gross estimates.

3.149 A special feature of the Gross-to-Net techniques is that they represent an indirect approach for calculating the value of reinsurance recoverables (the reinsurance assets), since following such techniques the value of reinsurance recoverables is derived in a subsequent step as the excess of the gross over the net estimate.
 
Accordingly, this sub-section considers how such an indirect approach could be designed to be compatible with the
Solvency II Framework and in particular Article 80 of the Level 1 text.

3.150 This sub-section is also intended to provide a conceptual framework for the use of Gross-to-Net techniques under Solvency II, supplementing CEIOPS’s draft advice on the valuation of reinsurance recoverables contained in the consultation paper on Article 85(a).

3.151 Finally, it should be noted that where this sub-section addresses the issue of recoverables (and corresponding net valuations), this is restricted to recoverables from reinsurance contracts, and does not include consideration of recoverables from SPVs.
 
Relevant implementing measures

3.152 As has been previously noted, the legal basis for implementing measures regarding simplified approaches for calculating technical provisions are given in Article 85(h) of the Level 1 text, which states:

“where necessary, simplified methods and techniques to calculate technical provisions, in order to ensure the actuarial methods and statistical techniques referred to in point (a) are proportionate to the nature, scale and complexity of the risks supported by insurance and reinsurance undertakings.”

3.153 It is noted that Article 85(a) refers back to Article 76(2) which covers the calculation of the best estimate gross of reinsurance.
 
However, Article 80 stipulates that the determination of reinsurance recoverables shall comply with Articles 75 to 79.
 
This implies that any implementing measure specifying further the requirements under these Articles should also have regard to the determination of reinsurance recoverables.
 
This would include the specification of any simplified methods as referred to under Article 85(h).

3.154 The only direct reference to reinsurance recoverables among the implementing measures for the valuation of technical provisions is given in Article 85(g) which refers to “the methods to be used when calculating the counterparty default adjustment” required under Article 80.

3.155 The list of implementing measures as given in Article 85 does not refer directly to the calculation of the best estimate of technical provisions net of reinsurance.
 
In particular, there is no reference to the (possibly simplified) methods to be applied when converting best estimates of technical provisions gross of reinsurance to best estimates of technical provisions net of reinsurance.

3.156 However, any such method to determine technical provisions net of reinsurance gives rise to a method to determine reinsurance recoverables (as the difference between gross and net provisions) which are implicitly covered by the implementing measures under Article 85 as explained above.

Gross-to-net techniques: the story so far
 
3.157 Annex A of this paper contains a detailed analysis of the gross-to-net techniques (“proxies”) developed in the Report on Proxies elaborated by CEIOPS/Groupe Consultatif Coordination Group59 as well as the gross-to-net techniques which were tested (based on the recommendations contained in this report) in the QIS4 exercise.

3.158 This description of gross-to-net techniques has been included purely for informational purposes; it is intended to provide an overview on the range and technical specificities of such methods developed so far.
 
CEIOPS considers that further technical work is necessary before it could be decided whether it would be appropriate to include (some of) these techniques in Level 2.

3.2.3.2 Analysis

3.159 This sub-section considers in general terms under which circumstances it would be appropriate to use gross-to-net techniques for a valuation of net technical provisions (and, following this, reinsurance recoverables) under the Solvency II framework, having regard to the proportionality assessment framework outlined in section 3.1.

3.160 It first considers the compatibility of such techniques with the valuation principles set out in the Level 1 text. Further to this, the potential scope of an application of gross-to-net techniques is analysed.
 
Finally, it is considered which level of detail/granularity would generally be needed in an application of gross-to-net techniques.
3.161 In the advice, these considerations are used for setting general high-level criteria to be followed by an (re)insurance undertaking applying gross-tonet techniques under the Solvency II framework.


3.2.3.2.1 Compatibility of Gross-to-Net Calculations with the Level 1 Text

Reinsurance recoverables and net technical provisions 3.162 As has been set out, the determination of reinsurance recoverables should follow the same principles as for the determination of gross technical provisions (i.e. it shall comply with Articles 75 to 79 of the Level 1 text), with an additional adjustment (imposed by Article 80) to take into account of expected losses due to counterparty defaults.

3.163 In this context, the technical provisions net of reinsurance are given (defined) as the difference between the technical provisions gross of reinsurance and the reinsurance recoverables:

Net provisions = gross provisions – reinsurance recoverables

Role of gross-to-net techniques in Solvency II Framework

3.164 The technical “gross-to-net” methods considered in this sub-section are designed to calculate the value of net technical provisions in a direct manner, by converting best estimates of technical provisions gross of reinsurance to best estimates of technical provisions net of reinsurance.

The value of the reinsurance recoverables is then given as the excess of the gross over the net valuation:

Reinsurance recoverables = gross provisions – net provisions

3.165 It is noted that the level 1 text contains no direct reference to any such gross-to-net methods.
 
However, since a determination of the value of technical provisions net of reinsurance gives rise to a determination of
reinsurance recoverables (and vice versa), an application of gross-to-net valuation techniques – and more broadly of any methods to derive net valuations of technical provisions – may be integrated into the Solvency II Framework by using a three-step approach as follows:

• Step 1: Derive valuation of technical provisions net of reinsurance.

• Step 2: Determine reinsurance recoverables as difference between gross and net valuations.

• Step 3: Assess whether valuation of reinsurance recoverables is compatible with Article 80.

In the following, these steps are examined in more detail.

Step 1: Derivation of technical provisions net of reinsurance

3.166 The starting point for this step is a valuation of technical provisions gross of reinsurance.
 
For non-life insurance obligations, the value of gross technical provisions would generally be split into the following components
per homogeneous group of risk or (as a minimum) lines of business:

PPGross = the best estimate of premiums provisions gross of reinsurance;

PCOGross = the best estimate of claims provisions gross of reinsurance;

RM = the risk margin.

3.167 From this, a valuation of the best estimate technical provisions net of reinsurance within a given homogeneous risk group or line of business may be derived by applying Gross-to-Net techniques to the best estimates components referred to above.

3.168 The technical provisions net of reinsurance in the given homogeneous risk group or line of business would then exhibit the same components as the gross provisions, i.e.

PPNet = the best estimate of premiums provisions net of reinsurance;

PCONet = the best estimate of claims provisions net of reinsurance;

RM = the risk margin.

Step 2: Determination of reinsurance recoverables as difference between gross and net valuations

3.169 On basis of the results of step 1, the reinsurance recoverables (RR) per homogenous risk groups (or lines of business) may be calculated as follows (using the notation as introduced above):

RR = (PPGross – PPNet) + (PCOGross – PCONet)

3.170 Note that implicitly this calculation assumes that the value of reinsurance recoverables does not need to be decomposed into best estimate and risk margin components.

Step 3: Assessment of compatibility of reinsurance recoverables with Article 80

3.171 In this step, it would need to be assessed whether the determination of the reinsurance recoverables in step 2 is consistent with Article 80 of the Level 1 text.

3.172 In particular, this would require an analysis as to whether the issues referred to in the second and third paragraph of Article 80, i.e. the time difference between direct payments and recoveries and the expected losses due to counterparty risks, were taken into account

3.173 To achieve consistency with the required adjustment related to expected losses due to counterparty defaults, it would generally be necessary to integrate an analogous adjustment into the determination of net of reinsurance valuation components in step 1. Such an adjustment would need to be treated separately (in the context of Article 85(g) as well as the relevant aspects of the SCR counterparty risk module) and would not be covered by one of the gross-to-net techniques discussed in this subsection.

3.2.3.2.2 The Scope of Gross-to-Net Techniques

3.174 It follows from the summary of the QIS4-results that Gross-to-Net techniques have been extensively used by all kind of participating non life insurance undertakings (irrespectively of their size).
 
This illustrates clearly the present difficulties of applying Article 80 to calculate reinsurance recoverables (reinsurance assets) in a direct manner.

3.175 Accordingly, it seems reasonable that an option to use simplified gross-to-net techniques – following their integration under the Solvency II Framework as illustrated in the previous sub-section 3.2.3.2.1 – should apply to all non-life insurance undertakings, including undertakings being able to stipulate the best estimate of technical provisions on a gross basis by
using adequate actuarial methods and statistical techniques.

3.176 However, any gross-to-net valuation technique to be used would need to lead to a valuation which is compatible with the Solvency II valuation principles and proportionate to the underlying risks.
 
Therefore it can be expected that the Gross-to-Net methods to be applied would in general need to be more sophisticated than the Gross-to-Net proxies tested in QIS4.
 
(This is especially the case for the proxy based on the ratio of net to gross provisions for RBNS-claims of a reference portfolio.)

3.177 Moreover, non-life insurance undertakings would be expected to use of Gross-to-Net methods in a flexible way be applying them to either premium provisions or provisions for claims outstanding or to a subset of lines of business or accident (underwriting) years, having regard to e.g. the complexity of their reinsurance programmes, the availability of relevant data, the importance (significance) of the sub-portfolios in question or by using other relevant criteria.

3.178 An undertaking would typically use a simplified Gross-to-Net technique when e.g.

• The undertaking has not directly estimated the net best estimate

• The undertaking has used a case by case approach for estimating the gross best estimate

• The undertaking cannot ensure the appropriateness, completeness and accuracy of the data

• The underlying reinsurance programme has changed

3.2.3.2.3 Degree of Detail and Corresponding Principles/Criteria

3.179 It seems unlikely that a Gross-to-Net simplified technique being applied to the overall portfolio of a non-life insurance undertaking would give reliable and reasonably accurate approximations of the best estimate of technical provisions net of reinsurance.
 
Accordingly, non-life insurance undertakings should in general carry out the Gross-to-Net calculations at a sufficiently granular level.
 
In order to achieve this level of granularity a suitable starting point would be:

• to distinguish between homogenous risk groups or as a minimum lines of business;

• to distinguish between the premiums provisions and provisions for claims outstanding (for a given homogenous risk group or line of business); and

• with respect to the provisions for claims outstanding, to distinguish between the accident years not finally developed and – if the necessary data is available and of sufficient quality – to distinguish further between provisions for RBNS-claims and IBNR-claims, respectively.

3.180 A further refinement that may need to be applied when stipulating the Gross-to-Net techniques would be to take into account the type of reinsurance cover and especially the relevant (i.e. most important) characteristics of this cover.

3.181 Below, the technical options being available to carry out Gross-to-Net valuations at a more granular level are analysed in more detail.

3.182 When applying such refinements, the following general considerations should be made:

• Whereas increasing the granularity of Gross-to-Net techniques will generally lead to a more risk-sensitive measurement, it will also increase their complexity, potentially leading to additional implementation costs for the undertaking.
 
Therefore, following the principle of proportionality, a more granular approach should only be chosen where this is necessary regarding the nature, scale and complexity of the underlying risks (and in particular the corresponding reinsurance
program).

• For certain kinds of reinsurance covers (e.g. in cases where the cover extends across several lines of business, so that it is difficult to allocate the effect of the reinsurance risk mitigation to individual lines of business or even homogeneous groups of risk, or where the cover is only with respect to certain perils of a LOB), increasing the granularity of Gross-to-Net techniques as described below will not suffice to derive an adequate determination of provisions net of reinsurance.
 
In such cases, individual approaches tailored to the specific reinsurance cover in question would need to be used.

• As an alternative to Gross-to-Net calculations, it may be contemplated to use a direct calculation of net provisions based on
triangular claims data on a net basis.
 
However, it should be noted that such a technique would generally require adjustments of the underlying data triangle in order to take into account changes in the reinsurance program over time, and therefore would generally be rather resource intensive. Also, an application of such “direct” techniques may not yield a better quality valuation than an application of more granular Gross-to-Net techniques as discussed below.

3.2.3.2.4 Distinguishing between lines of business

3.183 There are several reasons for distinguishing between lines of business when stipulating Gross-to-Net techniques:

• An insurance undertaking’s reinsurance programme may differ substantially between lines of business (where the undertaking is operating).

• Even if the undertaking’s reinsurance programme is the same for all lines of business, the impact of this programme on the technical provisions may differ substantially between the lines of business due to e.g. differences between the relevant claims distributions and especially whether the line of business is exposed to large claims or not.

3.184 All five types of Gross-to-Net techniques briefly described in annex A.1 should in principle be able to capture the distinction between lines of business.

However, for the Gross-to-Net technique based on historic accounting data only (i.e. type (1)), this is likely to depend on the
reporting requirements in force. Moreover, the Gross-to-Net technique based on the premium model (i.e. type (5)) applies – for obvious reasons– only to the premium provisions.

3.2.3.2.5 Distinguishing between premium provisions and provisions for claims outstanding

3.185 For both the premium provisions and the provisions for claims outstanding it is assumed at the outset that the Gross-to-Net methods should be stipulated for the individual lines of business.

Premium provisions

3.186 With respect to the premium provisions, the relationship between the provisions on a gross basis (PPGross,k), the provisions on a net basis (PPNet,k) and the Gross-to-Net “factor” (GNk(ck)) – for line of business (or homogeneous
risk group) no. k – can be represented in a somewhat simplified manner as follows:

PPNet,k = GNk(ck)×PPGross,k

where ck is a parameter-vector representing the relevant characteristics of the reinsurance programme covering the CBNI claims related to line of business no. k at the balance sheet day.

3.187 With respect to the various types of Gross-to-Net techniques briefly described inannex A.1, it is only the alternative approaches (4) and (5) that in general are able to stipulate Gross-to-Net techniques to be used for converting best estimates of gross premium provisions to best estimates of net premiums provisions.

3.188 However, if the reinsurance programme for the current accident year (the current business year) is the same as the programme for the preceding year(s), type (2) or (3) – or a combination of these – may also be used in this context, cf. also the comments given in last paragraph of section A.2.

3.189 For lines of business where premiums, claims and technical provisions are related to the underwriting year (and not the accident year), the distinction between premium provisions and provisions for claims outstanding is not clear-cut.
 
In these cases the technical provisions related to the last underwriting year comprise both premiums provisions and provisions for claims outstanding and the distinction between Gross-to-Net techniques for the two kinds of technical provisions makes no sense.

Provisions for claims outstanding

3.190 With respect to the provisions for claims outstanding, separate Gross-to-Net techniques should be stipulated for each accident year not finally developed (for a given line of business (or homogenous risk group)).

Accordingly, the relationship between the provisions on a gross basis (PCOGross,k,i), the provisions on a net basis (PCONet,k,i) and the Gross-to-Net “factor” (GNk,i(c,k,i)) for line of business (or homogeneous risk group) no. k and accident year no. i, can be represented in a somewhat simplified manner as follows:

PCONet,k,i = GNk,i(ck,i)×PCOGross,k,i

where ck,i is a parameter-vector representing the relevant characteristics of the reinsurance programme for this combination of line of business and accident year.

3.191 With respect to the types of Gross-to-Net approaches described in annex A.1, type no. (2), (3) and (5) can be applied to stipulate techniques proxies for the individual accident years (for a given line of business), cf. also the description of the most advanced Gross-to-Net technique tested in QIS4.

3.192 However, some refinements of these methods may be considered in order to make the Gross-to-Net techniques more sophisticated:

a) stipulation of separate Gross-to-Net techniques for individual development years or a suitable grouping of the development years (for a given accident year);

b) stipulation of separate Gross-to-Net techniques for RBNS-claims and IBNR-claims;

c) stipulation of separate Gross-to-Net techniques for “large” claims and “small” claims (“frequency” claims) – given some suitable thresholds for the separation of “large” and “small” claims; and

d) stipulation of separate Gross-to-Net techniques for proportional and non-proportional reinsurance programs.

3.193 A rationale for introducing separate techniques for the individual development years or groups of development years may be that claims reported and settled at an early stage (after the end of the relevant accident year) in general have a claims distribution that differs from the distribution of claims reported and/or settled at a later stage.
 
Accordingly, the impact of a given reinsurance programme (i.e. the ratio between expected claims payments on a net basis and expected claims on a gross basis) will differ between development years or groups of development years.

3.194 A rationale for introducing separate techniques for RBNS-claims and IBNRclaims may be that the insurance undertakings in general will have more information regarding the RBNS-claims and should accordingly be able to stipulate the Gross-to-Net technique to be applied on the gross best estimate for RBNS-provisions in a more accurate manner.
 
On the other hand the Gross-to-Net technique to be applied on the gross best estimate for IBNR-provisions is then likely to be stipulated in a less precise manner, especially if more sophisticated techniques are not available.

3.195 Finally, a rationale for making a split between “large” claims and “small” claims may be that the uncertainties related to expected claim amounts on a net basis for claims classified as “large” may in some (important) cases be small or even negligible compared to the uncertainties related to the corresponding claim amounts on a gross basis.
 
However, this supposition depends (at least partially) on the thresholds for separation of “large” and “small” claims being fixed for the individual lines of business.

3.196 None of the Gross-to-Net techniques briefly described in annex A.1 and A.2 are able to capture all these refinements, even if some aspects related to refinements (a) and (b) are touched upon (in an indirect manner) when discussing the properties of the most advanced Gross-to-Net techniques tested in QIS4.
 
Moreover, it would be relatively straightforward to adjust type no. (5) in order to capture refinement (c) and to some extent also
refinement (a).
 
3.197 However, in order to take into account these (possible) refinements it will in general be necessary to develop more sophisticated techniques than those being described in annex A.
 
On the other hand, these refinements should only be introduced if they in fact lead to an increased accuracy of the best estimate of provisions for claims outstanding net of reinsurance.

3.198 In this context, it may be argued that refinement (c) should be prioritised as this may be relevant for as least some of the commercial lines of business and is probably also the easiest refinement to implement.
 
Before introducing this refinement it should also be considered whether the thresholds to be fixed in order to separate “large” and “small” claims could depend on the size of the undertaking (or the size of undertaking’s portfolio within the line of business in question) or the nature of the reinsurance programme.

3.2.4 Risk Margin

3.199 This sub-section considers approaches for the calculation of the risk margin in the technical provisions based on simplified techniques.
 
For general considerations on the conceptual framework underlying this calculation, including:
 
• the assumptions made on the reference undertaking to which the insurance obligations are transferred;

• the calibration of the Cost-of-Capital rate; and

• the estimation of the future SCRs related to the reference undertaking,

we refer to CEIOPS’ consultation paper on the calculation of the risk margin in technical provisions.

3.200 As was highlighted in the QIS4 Technical Specifications, in carrying out the risk margin calculations
 
“[t]he main practical difficulty […] is deriving the SCR for future years for each segment”.
 
It should be stressed that this is the case even if on basis of the best estimate calculations reliable figures and parameters would be available as input to the calculation of future SCRs.

3.201 Acknowledging these practical difficulties, the QIS4 technical specifications proposed that
 
“[t]he calculation of the different risk charges for the future SCRs can either be done by the direct application of the SCR formulae or through simplifications”.
 
In line with this statement and in order to reduce the burden of calculation the QIS4 Technical Specifications introduced several layers of simplifications and proxies which could be applied in the calculation of the risk margin.

3.202 With respect to these simplifications for the risk margin, CEIOPS’ QIS4 Report stated that:

“The majority, if not all, of undertakings (independently of their size) used simplifications to project the SCR for the purposes of calculating the risk margin.
 
The risk margin proxy and helper tab for non-life were also extensively used by undertakings.”

3.203 In light of the considerations in sub-section 3.2.1 this indicates that it may be appropriate to include in Level 2 at least some level of detail concerning the calculation of the risk margin using simplified techniques.

In the following, first considerations are made on appropriate overall criteria which could be specified for application of simplified calculations of the risk margin in this context.

3.204 With respect to specific simplified valuation techniques for the risk margin, CEIOPS considers that further technical work is necessary before it could be decided whether such techniques could appropriately be included in Level 2.72

Principles and criteria for the risk margin calculations

3.205 As a general principle, where an (re)insurance undertaking applies a simplified valuation method, this should be proportionate to the underlying risks and compatible with the Solvency II valuation principles.
 
This would apply irrespectively of whether the method is specified under Level 2 implementing measures or not.

3.206 To support this aim, it may be helpful to establish (in Level 2 or Level 3) certain general principles and criteria which undertakings should adhere to when taking decisions with respect to the methods to be applied in the risk margin calculations, especially in the context of simplified calculations.

3.207 Such general principles and criteria could include the following:

• In general, the risk margin calculations and accordingly the projections of future SCRs should be as accurate as possible. If the
undertaking is able to carry out a full projection of all future SCRs – for all or some lines of business – it would be expected to do so.

• A simplification may be used when there is reasonable evidence that an application of a simpler method would not lead to materially different results.
 
Where the undertaking applies simplified methods, it should be able to justify their use and to assess the potential impact on the accuracy of the calculations of using the actual simplified method.

• Where simplified methods are applied, they should be used in a flexible manner meaning that the undertaking should consider e.g. to what extent the relevant data and other information required in order to make accurate SCR-projections are available (including the time and effort (costs) needed to obtain this information).

• When an undertaking considers whether or not it would be appropriate to apply a (simplified) valuation technique for the risk
margin, it should carry out separate assessments for each risk module in each line of business.
 
This means that a decision to use simplifications in one risk module and/or in one line of business should have no (definitive) impact on the decisions made for other risks or lines of business.
 
As an integral part of this assessment, the undertaking should consider what kind of simplified methods would be most appropriate for the given line of business.
 
The chosen method should be proportionate to the nature, scale and complexity of the risks in the line of business in question.
 
• When the undertaking has decided to use a simplified method for a given line of business, it should consider whether the method shouldbe used for the projections of the overall SCR (for the given line of business) or only for certain (sub-)risks relevant for such projections.
 
In this context, the undertaking should also consider whether it should carry out the simplified projections of future SCRs individually for each future year or calculate all future SCRs in one step (simultaneously) – but still for a given line of business.

A hierarchy of simplifications for calculating the risk margin

3.208 Based on the general principles and criteria referred to above, a possible hierarchy regarding the methods to be used for projecting future SCRs per line of business can be summarised as follows:

(1) make a full calculation of all future SCRs without using any simplifications;

(2) use simplifications to some or all modules and sub-modules to be used for future SCR-calculations;

(3) use simplifications to derive the whole SCR for each (future) year, e.g. by using the proportional approach; and

(4) estimate all future SCRs “at once”, e.g. by using the duration approach.

3.209 According to this structure, the simplifications are getting simpler step by step.
 
To assist undertakings in deciding which simplified methods would be appropriate to determine the risk margin, each step in this hierarchy should be accompanied with appropriate eligibility criteria based on quality and materiality considerations.
 

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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