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© Oliver Wyman
Setting Assumptions for Annuities Under VM-21 –
Application of Credibility and Professional Resources
2017 Society of Actuaries Valuation Actuary Symposium
Boston, October 18, 2017
Guillaume Briere-Giroux, FSA, MAAA, CFA
1© Oliver Wyman
Agenda
1 Application of credibility
2 Professional resources
2© Oliver Wyman
Application of credibility (limited fluctuation method)
Relative
Accuracy
Confidence levels
85% 90% 95%
3% 2,304 3,007 4,268
5% 829 1,082 1,537
10% 207 271 384
Guidance for credibility in VM-21 was not specific. VM-20 prescribes the use of a
method with 95% confidence level and 5% relative accuracy to determine the level
of credibility (next slide)
Define “relative accuracy” at X% confidence level to imply that empirical frequency is within +/-
Y% of the true frequency X% of the time
Number of events for full credibility at specified confidence levels
3© Oliver Wyman
Confidence level: 95%
Relative accuracy: 5%
Φ-1((1 + confidence level)/2): 1.96
Calculation of credibility factor “Z” under VM-20
Duration Claim Count Z Credibility Factor
1 50 0.18
2 200 0.36
3 100 0.26
Total 350 0.483
1
2
How does credibility apply to policyholder behavior?
Z Credibility Factor
= [1] x [3]1/2 / [2]
= 0.05 x (350)1/2 /1.96
4© Oliver Wyman
Professional resources
Category Description
Valuation Manual /
Actuarial Guidelines
• VM-21/Actuarial Guideline XLIII
• VM-20
• VM-31
Practice Notes
• The Application of C3-Phase 2 and Actuarial Guideline XLIII (March 2011)
• Life Principles-Based Reserves Under VM-20 (Exposure Draft, February 2014)
ASOPs
• Multiple relevant ASOPs may apply to setting assumptions. A sample can
include:
– ASOP No 23: Data Quality
– ASOP No.25: Credibility Procedures
– ASOP No. 41: Actuarial Communications
5© Oliver Wyman
VM-21 / Actuarial Guideline 43
VM-21: http://www.naic.org/documents/committees_a_latf_related_valuation_manual_noapf_160829.pdf
AG 43 Proposal: http://www.naic.org/documents/cmte_e_va_issues_wg_related_redlined_ag43_160926.pdf
6© Oliver Wyman
VM-20
http://www.naic.org/documents/committees_a_latf_related_valuation_manual_noapf_160829.pdf
7© Oliver Wyman
VM-31
http://www.naic.org/documents/committees_a_latf_related_valuation_manual_noapf_160829.pdf
8© Oliver Wyman
American Academy of Actuaries C3-Phase II and Actuarial Guideline XLIII
Practice Note
https://www.actuary.org/files/VAPN%20FINAL%20WEB%20040511.4.pdf/VAPN%20FINAL%20WEB%20040511.4.pdf
9© Oliver Wyman
American Academy of Actuaries VM-20 Practice Note
http://www.actuary.org/files/publications/VM_20_PN_051817.pdf
10© Oliver Wyman
Actuarial Standards of Practice (ASOPs)
11© Oliver Wyman
Key takeaways
1 Credibility caveats
2 Documentation
3 Actuarial margins

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Assumption Setting for VM-21 - Credibility and Professional Resources

  • 1. © Oliver Wyman Setting Assumptions for Annuities Under VM-21 – Application of Credibility and Professional Resources 2017 Society of Actuaries Valuation Actuary Symposium Boston, October 18, 2017 Guillaume Briere-Giroux, FSA, MAAA, CFA
  • 2. 1© Oliver Wyman Agenda 1 Application of credibility 2 Professional resources
  • 3. 2© Oliver Wyman Application of credibility (limited fluctuation method) Relative Accuracy Confidence levels 85% 90% 95% 3% 2,304 3,007 4,268 5% 829 1,082 1,537 10% 207 271 384 Guidance for credibility in VM-21 was not specific. VM-20 prescribes the use of a method with 95% confidence level and 5% relative accuracy to determine the level of credibility (next slide) Define “relative accuracy” at X% confidence level to imply that empirical frequency is within +/- Y% of the true frequency X% of the time Number of events for full credibility at specified confidence levels
  • 4. 3© Oliver Wyman Confidence level: 95% Relative accuracy: 5% Φ-1((1 + confidence level)/2): 1.96 Calculation of credibility factor “Z” under VM-20 Duration Claim Count Z Credibility Factor 1 50 0.18 2 200 0.36 3 100 0.26 Total 350 0.483 1 2 How does credibility apply to policyholder behavior? Z Credibility Factor = [1] x [3]1/2 / [2] = 0.05 x (350)1/2 /1.96
  • 5. 4© Oliver Wyman Professional resources Category Description Valuation Manual / Actuarial Guidelines • VM-21/Actuarial Guideline XLIII • VM-20 • VM-31 Practice Notes • The Application of C3-Phase 2 and Actuarial Guideline XLIII (March 2011) • Life Principles-Based Reserves Under VM-20 (Exposure Draft, February 2014) ASOPs • Multiple relevant ASOPs may apply to setting assumptions. A sample can include: – ASOP No 23: Data Quality – ASOP No.25: Credibility Procedures – ASOP No. 41: Actuarial Communications
  • 6. 5© Oliver Wyman VM-21 / Actuarial Guideline 43 VM-21: http://www.naic.org/documents/committees_a_latf_related_valuation_manual_noapf_160829.pdf AG 43 Proposal: http://www.naic.org/documents/cmte_e_va_issues_wg_related_redlined_ag43_160926.pdf
  • 9. 8© Oliver Wyman American Academy of Actuaries C3-Phase II and Actuarial Guideline XLIII Practice Note https://www.actuary.org/files/VAPN%20FINAL%20WEB%20040511.4.pdf/VAPN%20FINAL%20WEB%20040511.4.pdf
  • 10. 9© Oliver Wyman American Academy of Actuaries VM-20 Practice Note http://www.actuary.org/files/publications/VM_20_PN_051817.pdf
  • 11. 10© Oliver Wyman Actuarial Standards of Practice (ASOPs)
  • 12. 11© Oliver Wyman Key takeaways 1 Credibility caveats 2 Documentation 3 Actuarial margins