MATH Matters How Risk Managers Should Use an Actuarial Report

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##### MATH Matters How Risk Managers Should Use an Actuarial Report

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1. MATH MattersHow Risk Managers Should Use an Actuarial Report • Norm Hainlen – Director, Alternative Risk Financing Wood Gutmann & Bogart (Coordinator) • Al Rhodes – President and Senior Actuary SIGMA Actuarial Consulting Group, Inc. • Tim East – Director, Risk Management The Walt Disney Company

2. MATH Matters • Question… • How do you use the actuarial report? • Do you review the summary? • Do you review the data?

3. MATH Matters • Question… • Do you review the calculations? • How do you use the actuarial report? • Do you grab the first number and close the report?

4. MATH Matters • Not a bad strategy if: • You need a number for a financial statement • You need the loss pick for a meeting • Your broker handles that stuff

5. MATH Matters • A bad strategy if: • Actually, that is always a bad strategy – there is a lot more there the MATH is telling you.

6. MATH Matters • Use the actuarial analysis as part of your stewardship report to the CFO, Board, … • Use the MATH to show what has happened and what is expected to happen. • The losses are x% of the program, so the MATH to get to that x% is important.

7. MATH Matters • - Assumption – You are getting a reserve analysis and a loss projection. • - You need at least two numbers – the estimated reserves and the loss pick. • - How many more are there?

8. MATH Matters • LOTS – let’s look at the MATH… • Look at the reserves first: • Reserves = Case Reserves + IBNR

9. MATH Matters • If the IBNR to case reserve ratio has been increasing, then the reserve position MAY be stronger. • If the ratio is decreasing, then the reserve position MAY be getting weaker.

10. MATH Matters • It is good to know the MATH so you can figure out if a potential problem is looming or if you are now in a stronger position. • A large claim can give an unusual ratio. Stronger reserving can give an unusual ratio.

11. MATH Matters • Still looking at reserves: • What is your range? • There is one whether it is shown or not! • It should not be large! • It will not give you every possible outcome.

12. MATH Matters • Reserve Range: • The range gives you an opportunity to fund something different, but within a reasonable range. • The MATH will let you know what is reasonable.

13. MATH Matters • Let’s look at the loss pick: • Do you get one number? OK • Do you get a range? Better • Do you get confidence intervals? Best - MAYBE

14. MATH Matters • Loss Pick (Simple Example): • Pure Loss Rate x Exposures • Exposures should be easy • MATHMatters when calculating the pure loss rate

15. MATH Matters • For each policy period: • Incurred/paid losses are developed to ultimate • Ultimate losses are trended to a common period • Exposures are trended to a common period • MATH Matters for each step

16. MATH Matters • Do you understand how the ultimate losses are calculated? • Are the exposures appropriate and correct? • Are the trend factors reasonable?

17. MATH Matters • Pure Loss Rate: • Trended Losses / Trended Exposures • A pure loss rate for each policy period. • How variable? You need this for TCOR! • Is selected rate reasonable?

18. MATH Matters • Loss Pick • How is the range calculated? • Does it seem reasonable?

19. MATH Matters • Loss Pick • MATH Matters – what is a confidence interval? • The confidence interval tells you the probability an amount will not be exceeded. • What is the “correct” percentile?

20. MATH Matters • What do you need to know? + Addition - Subtraction X Multiplication • Division

21. Take Aways… • TCOR – use projected losses and confidence intervals • Metrics – pure loss rate, frequency, severity • Confidence Interval – choice of program

22. MATH Matters – The Risk Manager’s View • How to receive and access an actuarial report • How to use it to drive results within your business

23. The Actuarial Process/Cycle • Advance – Meet and plan before you send the data • Scrub – Make sure the data is screened and vetted before the analysis begins • Draft – Review the draft before the final to understand the assumptions, selections and trends

24. Reviewing the Report • Methods – How many methods did the actuary use, and which ones did they rely on? • Changes in Triangles – Don’t rely on the tables alone; discuss the data

25. Reviewing the Report • Methods – How many methods did the actuary use, and which ones did they rely on? • Changes in Triangles – Don’t rely on the tables alone; discuss the data • Other Measures: • Case closure rate is a critical metric • Loss-cost per exposure trends • Loss development by reserve category

26. Using the Actuarial Report • Translate – Translate the actuarial results into terms that stakeholders can understand • Temper – Actuarial results can be misused or mis-understood; set realistic expectations

27. The Nature of Variance…

28. Using the Actuarial Report • Translate – Translate the actuarial results into terms that stakeholders can understand • Temper – Actuarial results can be misused or mis-understood; set realistic expectations • Transform – Select outcomes and adopt metrics that can be used to improve the business results

29. Take Aways… • Dig In – Work with your actuary and those who supply the underlying data to understand the inputs, assumptions and results • Sort Out – The key metrics that define the true direction of your losses • Present – The results in terms that your organization can understand and act upon

30. MATH MattersHow Risk Managers Should Use an Actuarial Report • Questions & Answers • Thank You!!