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Solvency ii - Best Estimate
from the Solvency ii Association, the largest Association of Solvency ii Professionals in the world

Who is responsible for the calculation of the best estimate?

The coordination of the best estimate is assigned to the Actuarial Function (Article 47 of the Directive, follows)

What is the best estimate?

According to Article 76 (follows), the value of technical provisions shall be equal to the sum of a best estimate and a risk margin.  The best estimate shall correspond to the probability-weighted average of future cash-flows, taking account of the time value of money (expected present value of future cash-flows), using the relevant risk-free interest rate term structure.

The calculation of the best estimate shall be based upon up-to-date and credible information and realistic assumptions and be performed using adequate, applicable and relevant actuarial and statistical methods.

The cash-flow projection used in
the calculation of the best estimate shall take account of all the cash in- and out-flows required to settle the insurance and reinsurance obligations over the lifetime thereof.

The best estimate shall be calculated gross, without deduction of the amounts recoverable from reinsurance contracts and special purpose vehicles. Those amounts shall be calculated separately, in accordance with Article 80.
 
Are there any challenges?

Many.

  • Accounting practices across Europe are diverse and do not produce consistent best estimates.

  • There are differences in the interpretation of what constitutes a discounted best estimate (first among supervisors, and second among firms).

  • The calculation of the best estimate shall be based upon "up-to-date and credible information" (very difficult) and "realistic assumptions" (almost an oxymoron) and "be performed using adequate, applicable and relevant actuarial and statistical methods" (nice words but not very specific ... everybody can do whatever he/she likes, provided the supervisors do not understand on pretend they do not understand to give to the country a competitive advantage).

  • The "up-to-date and credible information" is usually a combination of market and entity specific information (that can be selected to become higher or lower).

  • Will firms communicate the uncertainty to senior management and the board of directors?


 
From the European Parliament legislative resolution of 22 April 2009 on the amended proposal for a directive of the European Parliament and of the Council on the taking-up and pursuit of the business of Insurance and Reinsurance (recast)
 
Article 47
Actuarial function


1. Insurance and reinsurance undertakings shall provide for an effective actuarial function to undertake the following:

(a)
to coordinate the calculation of technical provisions;

(b) to ensure the appropriateness of the methodologies and underlying models used as well as the assumptions made in the calculation of technical provisions;

(c) to assess the sufficiency and quality of the data used in the calculation of technical provisions;

(d) to compare
best estimates against experience;

(e) to inform the administrative or management body of the reliability and adequacy of the calculation of technical provisions;

(f) to oversee the calculation of technical provisions in the cases set out in Article 81;

(g) to express an opinion on the overall underwriting policy;

(h) to express an opinion on the adequacy of reinsurance arrangements;

(i) to contribute to the effective implementation of the risk management system referred to in Article 43, in particular with respect to the risk modelling underlying the calculation of the capital requirements set out in Chapter VI, Sections 4 and 5 and the assessment referred to in Article 44.
 

 
Article 76
Calculation of technical provisions


1. The value of technical provisions shall be equal to
the sum of a best estimate and a risk margin as set out in paragraphs 2 and 3.

2. The
best estimate shall correspond to the probability-weighted average of future cash-flows, taking account of the time value of money (expected present value of future cash-flows), using the relevant risk-free interest rate term structure.

The calculation of the best estimate shall be based upon up-to-date and credible information and realistic assumptions and be performed using adequate, applicable and relevant actuarial and statistical methods.

The cash-flow projection used in
the calculation of the best estimate shall take account of all the cash in- and out-flows required to settle the insurance and reinsurance obligations over the lifetime thereof.

The best estimate shall be calculated gross, without deduction of the amounts recoverable from reinsurance contracts and special purpose vehicles. Those amounts shall be calculated separately, in accordance with Article 80.

3. The risk margin shall be such as to ensure that the value of the technical provisions is equivalent to the amount insurance and reinsurance undertakings would be expected to require in order to take over and meet the insurance and reinsurance obligations.

4. Insurance and reinsurance undertakings
shall value the best estimate and the risk margin separately

However, where future cash flows associated with insurance or reinsurance obligations can be replicated reliably using financial instruments for which a reliable market value is observable, the value of technical provisions associated with those future cash flows shall be determined on the basis of the market value of those financial instruments.
 
In this case, separate calculations of the best estimate and the risk margin shall not be required.

5. Where insurance and reinsurance undertakings value the
best estimate and the risk margin separately, the risk margin shall be calculated by determining the cost of providing an amount of eligible own funds equal to the Solvency Capital Requirement necessary to support the insurance and reinsurance obligations over the lifetime thereof.

The rate used in the determination of the cost of providing that amount of eligible own funds
(Cost-of-Capital rate) shall be the same for all insurance and reinsurance undertakings and shall be reviewed periodically.

The
Cost-of-Capital rate used shall be equal to the additional rate, above the relevant risk-free interest rate, that an insurance or reinsurance undertaking would incur holding an amount of eligible own funds, as set out in Section 3, equal to the Solvency Capital Requirement necessary to support the insurance and reinsurance obligation over the lifetime of that obligation.
 


Article 81
Data quality and application of approximations, including case-by-case approaches, for technical provisions


Member States shall ensure that insurance and reinsurance undertakings have internal processes and procedures in place to ensure the appropriateness, completeness and accuracy of the data used in the calculation of their technical provisions.

Where, in specific circumstances, insurance and reinsurance undertakings have insufficient data of appropriate quality to apply a reliable actuarial method to a set or subset of their insurance and reinsurance obligations, or amounts recoverable from reinsurance contracts and special purpose vehicles, appropriate approximations, including case-by-case approaches, may be used in the calculation of the
best estimate.
 


Article 82
Comparison against experience


Insurance and reinsurance undertakings shall have processes and procedures in place to ensure that
best estimates, and the assumptions underlying the calculation of best estimates, are regularly compared against experience.

Where the comparison identifies systematic deviation between experience and the
best estimate calculations of insurance or reinsurance undertakings, the undertaking concerned shall make appropriate adjustments to the actuarial methods being used or the assumptions being made.
 


Article 85
Implementing measures


The Commission shall adopt implementing measures laying down the following:

(a) actuarial and statistical methodologies to calculate the
best estimate referred to in Article 76(2);

(b) the relevant risk-free interest rate term structure to be used to calculate the
best estimate referred to in Article 76(2);

(c) the circumstances in which technical provisions shall be calculated as a whole, or as a sum of a
best estimate and a risk margin, and the methods to be used in the case where technical provisions are calculated as a whole;

(d) the methods and assumptions to be used in the calculation of the risk margin including the determination of the amount of eligible own funds necessary to support the insurance and reinsurance obligations and the calibration of the Cost-of-Capital rate;

(e) the lines of business on the basis of which insurance and reinsurance obligations are to be segmented in order to calculate technical provisions;

(f) the standards to be met with respect to ensuring the appropriateness, completeness and accuracy of the data used in the calculation of technical provisions, and the specific circumstances in which it would be appropriate to use approximations, including case-by-case approaches, to calculate the
best estimate;

(g) the methodologies to be used when calculating the counterparty default adjustment referred to in Article 80 designed to capture expected losses due to default of the counterparty;

(h) where necessary, simplified methods and techniques to calculate technical provisions, in order to ensure the actuarial and statistical methodologies referred to in points (a) and (d) are proportionate to the nature, scale and complexity of the risks supported by insurance and reinsurance undertakings including captive insurance and reinsurance undertakings.

Those measures designed to amend non-essential elements of this Directive, by supplementing it, shall be adopted in accordance with the regulatory procedure with scrutiny referred to in of Article 304(3).
 

 
Consultation Paper No. 26
Draft CEIOPS Advice for Level 2 Implementing Measures on Solvency II:
Technical provisions - Elements of actuarial and statistical methodologies for the calculation of the best estimate
Solvency ii Best Estimate - CEIOPS Consultation Paper No. 26
 
 
Consultation Paper No. 41
Draft CEIOPS’ Advice for Level 2 Implementing Measures on Solvency II:
Technical Provisions - Article 85 c, Circumstances in which technical provisions shall be calculated as a whole
CEIOPS Consultation Paper No. 41 - Level 2, Circumstances in which technical provisions shall be calculated as a whole
 
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