34
A Critical Table – Pricing Critical Illness in the UK on a new Insured Lives Table Paul Brett and Johann DuToit IAAHS 2007 IAA Health Section Colloquium 13 th – 16 th May 2007 CTICC www.iaahs2007.com 25 30 35 40 45 50 0.0 20.0 40.0 60.0 80.0 100.0 120.0 Age Accelerated CI rates per 10,000 FNS FSM MNS MSM

A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

  • Upload
    others

  • View
    1

  • Download
    0

Embed Size (px)

Citation preview

Page 1: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

A Critical Table –Pricing Critical Illness in the UK on a new Insured Lives Table

Paul Brett and Johann DuToit

IAAHS 2007IAA Health Section Colloquium

13th – 16th May 2007CTICC

www.iaahs2007.com25

30

35

40

45

50

0.0

20.0

40.0

60.0

80.0

100.0

120.0

Age

Accelerated CI rates per 10,000

FNS

FSM

MNS

MSM

Page 2: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Agenda

• Introduction• Basic Methodology & Issues• Headline Results• International Aspects• Questions

Page 3: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Agenda

• Introduction• Basic Methodology & Issues• Headline Results• International Aspects• Questions

Page 4: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Design of Paper

Page 5: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Why Produce the Paper?

• The Actuarial Profession - CMI

• Available tables;– Theoretical– Population– Aggregate

CIBT02 Tables

0.000000

0.005000

0.010000

0.015000

0.020000

0.025000

0.030000

30 40 50 60

Age

Rat

e Males

Females

Page 6: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Why Produce the Paper?

• Issues with the insured lives data;– Immature– Limited age range– Estimates of date of diagnosis– Data needs grossing-up

• Regulations;– Realistic balance sheet– Gender Directive

Page 7: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Agenda

• Introduction• Basic Methodology & Issues• Headline Results• International Aspects• Questions

Page 8: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

CMI Data• 1999 – 2002 data

– 16 offices– 7.4 million life years– 11,803 claims– 90% ACI and 10 % SCI

• Date of diagnosis– 44% no date recorded– No uniform definition– Estimated Date of Diagnosis

Page 9: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Settled to Diagnosed Adjustments

• SDA = (B + C) / (A + B) > 1 if C > A• Distinguish by:

– Condition (long settlement delays have bigger SDAs)– Duration since Inception (more scrutiny on early duration claims)

1 9 9 9

2 0 0 2

Y e a r o f D ia g n o s is

1 9 9 9 2 0 0 2Y e a r o f

S e tt le m e n t

B

A

C

Page 10: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Causes of Claim

• Conditions;– 21 standardised CI conditions– Death, TPD and Angioplasty

• Rates by condition• Further adjustments

– Smoker status unknown– Unknown claims cause– Under representation– Removal of other claims

Page 11: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Adjusted Data

• Exposure– Raw 7.397 million– Modified 7.351 million

• Claims– Raw 11,803– Modified 13,452

Page 12: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

CIBT02

• CIBT93• CI Healthcare Study Group• Theoretical population table

– First ever event– Overlap between

conditions• Rates by condition

CIBT02 Tables

0.000000

0.005000

0.010000

0.015000

0.020000

0.025000

0.030000

30 40 50 60

Age

Rat

e Males

Females

Page 13: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Insured Lives Rates

• Insured lives rate for given condition =CIBT02 rate for given condition

x A / E for given condition• Insured / Population (I/P) adjustment

– Effect of underwriting– Socio economic– Smoking status

Page 14: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Further Adjustments

• Select rates– Differ by condition

• ACI different to SCI

Page 15: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Agenda

• Introduction• Basic Methodology & Issues• Headline Results• International Aspects• Questions

Page 16: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

ACI Results

• CI Table fits “All ACI Claims” 100%• Do Individual Rates fit CMI Individual

Claims data?• We followed a “Grouped Illness” approach

Page 17: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

ACI Grouped Conditions

Deaths & Terminal IllnessTotal & Permanent Disability

•Kidney Failure•Major Organ Transplant

Organ Failure-type

•Coma•Paralysis•Blindness•Loss of Limbs•Third Degree Burns•Loss of Hearing

Accident-type

•Multiple Sclerosis•Motor Neurone Disease•Parkinson's Disease•Alzheimer's Disease

Neurological-type

•Heart Attack•Stroke•Coronary Artery By-pass•Heart Valve Replacement•Angioplasty•Aorta Graft Surgery

Cardiovascular -type

•Benign Brain •Tumour Cancer•Loss of Speech (e.g. throat cancer)

Cancer-typeConditionsGroups

Page 18: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

I / P Adjustments

19%Accident-types

71%Cancer-types

63%Neurological-types

38%Cardiovascular-types

20%Organ Failure-types

16%TPD

47%Deaths

I/P AdjustmentGroup

Page 19: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Select Pattern

• Effect of Underwriting in Descending order:

Ult-7.7%-42.1%-45.0%3 yearsOrgan Failure-23.0%-77.9%

Select Discounts

UltNoneAccidentUlt-17.2%1 yearCancer (MNS)Ult-48.9%1 yearNeurologicalUlt-4.5%-22.4%2 yearsCardiovascular

Ult-15.4%-18.4%3 yearsDeath (MNS)Ult-15.8%-47.7%3 yearsTPD

Select Period

Condition

Page 20: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Increase by Age

• Female Cancer increases by 15% p.a. from young ages• UK Insured Life only Mortality rates increase in a similar

fashion but slightly faster.

9.1%8.5%9.4%9.1%60-70

7.4%6.3%9.5%10.4%50-60

8.4%8.5%12.5%10.7%40-50

8.6%9.4%9.9%6.8%30-40

8.3%10.0%4.7%3.9%20-30

FSMFNSMSMMNSAge Band

Page 21: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Smoker differentials

8%53%44%654%65%23%451%55%46%25FNS

18%39%91%6521%33%114%451%38%25%25MNS

% HA% CancerSmoker

differentialAgeSex

Page 22: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Experience by Benefit Size

• The Benefit curve is U-shaped• Consistent poor experience at

high Sums Assured in the UK• Correct level is around 90%

10,51111,73923110,2801,227Claims

90%100%1082%89%1194%A/E

SA: >£10KAllSA: >£150KSA: £11K-£150KSA: <= £10KACI

Page 23: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

90% of Insured Table

95.1%Bancassurance Office D

90.4%Bancassurance Office C

87.3%IFA Office B

84.2%IFA Office A

A/E on Insured TableClient Offices

Page 24: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Experience by Channel

£45,646119%99%92%3,033Direct Sales

£50,159107%89%92%4,072Bancassurer

£58,076100%83%83%2,625IFA

Average SA

Relative to IFA

Revised for Channel

Error

SA: £11K-£150K

Published ClaimsChannel

Page 25: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

1999-2002 v 2003-2004

• Based on “Raw claims” excl. any adjustments• Red > Blue• SDA for 1999-2002 > SDA for 2003-2004

80%82%71%89%64%83%90%FSM: 03-04

80%88%74%74%81%85%74%FSM: 99-02

78%79%78%71%68%82%84%FNS: 03-04

82%74%81%83%87%86%85%FNS: 99-02

71%69%64%73%66%71%80%MSM: 03-04

84%71%74%94%87%85%95%MSM: 99-02

74%78%65%68%66%73%83%MNS: 03-04

84%84%76%85%91%84%84%MNS: 99-02

All5+43210Duration

Page 26: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Standalone ExperienceACI & SCI Experience

50

60

70

80

90

100

110

120

130

ACI SCI

Rel

ativ

e Ex

perie

nce

Deaths

CI Conditions only

• Deaths after 28 days (survival period):– Under SCI it is paid as a critical illness– Under ACI it may be paid as a death claim

• SCI experience is at 107% v 125% for ACI

Page 27: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Agenda

• Introduction• Basic Methodology & Issues• Headline Results• International Aspects• Questions

Page 28: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

International Aspects

• Problems with large cases• Grouping of conditions• Rates by condition• Date of diagnosis• SCI > ACI

Page 29: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Comparison: RSA v UKComparison: RSA v UK CI Rates

0%

20%

40%

60%

80%

100%

120%

140%

160%

25 35 45 55

Age

RSA

/ UK

Rate

s

MalesFemales90% Level

Page 30: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Comparison: Far East v UKFar East / UK CI Rates

0%

20%

40%

60%

80%

100%

120%

25 35 45 55

Age

Far E

ast /

UK

Rate

s

MalesFemales90% Level

Page 31: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Agenda

• Introduction• Basic Methodology & Issues• Headline Results• International Aspects• Questions

Page 32: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Questions

Page 33: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

Updates & Queries

• Paper & Tables:www.genrelifehealth.com/uk

• Contact [email protected]@genre.com

Page 34: A Critical Table - International Actuarial Associationactuaries.org/IAAHS/Colloquia/Cape_Town/DuToit,_Brett.pdf · A Critical Table – Pricing Critical Illness in the UK on a new

IAAHS 2007IAA Health Section Colloquium

13th – 16th May 2007CTICC

www.iaahs2007.com

25

30

35

40

45

50

0.0

20.0

40.0

60.0

80.0

100.0

120.0

Age

Accelerated CI rates per 10,000

FNS

FSM

MNS

MSM

HeartAttack

HeartAttack Minor

CIs

MinorCIs

KidneyFailure

KidneyFailure

MOTMOT

DeathDeath

MSMSCABGCABG

StrokeStroke

TPDTPD

CancerCancer

CICI