Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS,...

15
Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS, MAAA Consulting Actuary Milliman, Inc. Monday – September 13, 2005 10:30 a.m. – 12:00 p.m.

Transcript of Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS,...

Page 1: Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS, MAAA Consulting Actuary Milliman, Inc. Monday – September.

Milliman

Package Policy Reserving

Casualty Loss Reserve Seminar

Prepared by: Brian Z. Brown, FCAS, MAAA

Consulting Actuary

Milliman, Inc.

Monday – September 13, 2005

10:30 a.m. – 12:00 p.m.

Page 2: Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS, MAAA Consulting Actuary Milliman, Inc. Monday – September.

2Milliman

Lack of Credibility Lack of Homogeneity Indivisible Premium Odd Exposures

Construction Defect Mold Products

State Differences Type of Risk

Package Policy Reserving Issues

Page 3: Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS, MAAA Consulting Actuary Milliman, Inc. Monday – September.

3Milliman

Lack of Credibility

Need to use external sources LDFs

• ISO• Annual Statements• Others

Loss Ratios• Pricing Analysis• Competitors – Annual Statements• Older years adjusted to current rate and loss cost levels

Package Policy Reserving Issues

Page 4: Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS, MAAA Consulting Actuary Milliman, Inc. Monday – September.

4Milliman

Lack of Homogeneity

Differences by type of risk Large versus small Deductible / non-deductible Products / non-products Construction defect exposure State Etc.

Package Policy Reserving Issues

Page 5: Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS, MAAA Consulting Actuary Milliman, Inc. Monday – September.

5Milliman

Industry Statistics - CMP Loss ratio differences by type of Company

Package Policy Reserving Issues

CMPUltimate Loss and DCC Ratio

LargeAccident Personal Middle Commercial

Year Lines Market Insurers

1995 75.4% 69.1% 71.7%1996 73.8% 79.9% 80.2%1997 69.5% 66.6% 74.0%1998 78.6% 78.9% 91.8%1999 67.9% 77.7% 94.5%2000 73.0% 81.4% 86.6%2001 71.5% 77.1% 93.6%2002 60.8% 57.0% 59.3%2003 53.2% 55.3% 53.8%2004 69.9% 58.5% 68.7%

Total 68.6% 68.6% 76.0%

Page 6: Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS, MAAA Consulting Actuary Milliman, Inc. Monday – September.

6Milliman

Industry Statistics Observations

1) Loss ratio variability increases with size of insurer.

2) Results more cycle-driven for larger insurers.

Package Policy Reserving Issues

Page 7: Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS, MAAA Consulting Actuary Milliman, Inc. Monday – September.

7Milliman

Industry Statistics - CMP Total Reserves to Earned Premium by Type of

Company

Package Policy Reserving Issues

CMPReserves to Earned Premium

LargeAccident Personal Middle Commercial

Year Lines Market Insurers

1995 1.6% 1.7% 3.5%1996 2.1% 2.6% 4.5%1997 2.4% 3.7% 5.5%1998 3.5% 4.8% 9.1%1999 4.3% 8.6% 13.2%2000 6.3% 11.3% 17.6%2001 9.3% 14.9% 25.4%2002 13.1% 17.1% 24.1%2003 17.2% 22.1% 28.0%2004 37.9% 36.4% 51.9%

Total 11.5% 14.4% 19.9%

Page 8: Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS, MAAA Consulting Actuary Milliman, Inc. Monday – September.

8Milliman

Reserves to Earned Premium Observations

Smaller insurers have lower reserves relative to premium – maybe related to higher percentage of property exposure and longer tailed general liability exposure

Some large insurers have significant IBNR relative to case

• Construction Defect• Products

Package Policy Reserving Issues

Page 9: Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS, MAAA Consulting Actuary Milliman, Inc. Monday – September.

9Milliman

Package Policy Reserving Issues

CMPPayment Patterns by Size of Company

0.0%

20.0%

40.0%

60.0%

80.0%

100.0%

120.0%

1 2 3 4 5 6 7 8 9 10

Years of Development

Per

cen

t P

aid

Personal Lines Middle-Market Large Commercial Insurers

Page 10: Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS, MAAA Consulting Actuary Milliman, Inc. Monday – September.

10Milliman

Payout Pattern Observations

Larger insurers have slower payout patterns

Package Policy Reserving Issues

Page 11: Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS, MAAA Consulting Actuary Milliman, Inc. Monday – September.

11Milliman

Observations Larger insurers results are more difficult to

project Higher loss ratio variability More IBNR needs Slower payout pattern More difficult exposures

Package Policy Reserving Issues

Page 12: Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS, MAAA Consulting Actuary Milliman, Inc. Monday – September.

12Milliman

Indivisible Premium One premium charge frequently for property /

liability Analyze partial loss ratios

Property / Liability Further refinements

• Products / non-products

• Construction defect / non-construction defect

Package Policy Reserving Issues

Page 13: Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS, MAAA Consulting Actuary Milliman, Inc. Monday – September.

13Milliman

Odd Exposures Construction Defect

Long tail Difficult to assign accident / policy year Additional insured exposure Significant legal A mess

Mold

Products

Package Policy Reserving Issues

Page 14: Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS, MAAA Consulting Actuary Milliman, Inc. Monday – September.

14Milliman

State Differences

Package Policy Reserving Issues

Source: Annual Statement Statutory Exhibit of Premiums and Losses

CMPDirect Incurred Loss & DCC Ratio

Calendar Western Southern All OtherYear States States Excl. NY

1999 69.3% 71.7% 84.4%2000 80.2% 72.9% 69.7%2001 81.8% 73.3% 75.0%2002 78.3% 62.6% 56.3%2003 68.3% 59.4% 59.9%2004 56.8% 114.0% 52.4%

Total 71.5% 76.5% 64.6%

Page 15: Milliman Package Policy Reserving Casualty Loss Reserve Seminar Prepared by: Brian Z. Brown, FCAS, MAAA Consulting Actuary Milliman, Inc. Monday – September.

15Milliman

Loss Ratios

Package Policy Reserving Issues

Source: Annual Statement Statutory Exhibit of Premiums and Losses

CMPDirect Incurred Loss & DCC Ratio

CalendarYear Nevada

1999 117.7%2000 137.8%2001 132.3%2002 138.8%2003 108.3%2004 84.9%

Total 117.4%