Transcript Slide 1

Enterprise wide Economic
Capital Model using a
structured and integrated
modeling platform
Patrick Grealy FIA
Israel June 2012
How to Develop an Internal Model
• Review Key stages of the process
• New business including reinsurance
• Prior year business run off
• Include Opening Balance Sheet items (Assets, UPR)
• Additional deliverables from the implementing of the Model
• How to integrate this into the Company’s systems and
structures and also to use the system on a day to day
basis
• Look at a fully functioning example
Environment Overview
Inflation
Natural
Catastrophe
Group
Co 1
FX Changes
Legal –
Secular
Your Risks/
Cedants
Your Company
Assets
Your Reinsurer 1
Interest Rates
Losses
Group
Co 2
Your Reinsurer 2
Additional Deliverables from
Internal Model.
• Pricing of new business
• Reinsurance Optimization & Scenario Testing
• Calculate Economic Capital Required (“ECM”)
• Investment decision making
• Counterparty Credit exposure Assessment
• Cash-flow & Treasury Management
• Defining Risk Appetite
• Capital Strategies e.g. internal reinsurance structures
• Acquisition & Divestiture
The Key Stages of Process
• Decision to develop a Model
• Assess internal/external resources available
• Consider the form of the Model
1. Spreadsheet;
2. Programming Language;
3. Toolbox (Specialist programming environment)
[Generally provided by Brokers and Consultants] ; and
4. Fully Compiled integrated product
[Generally provided by professional software Companies]
• Specify timelines and deliverables.
• 1 Calendar Year or Multi Year
• Full or Partial Capital Model
• Start, Develop, Revise, Use
New Business
•
May have very useful information from Business plan and also
current underwriting and pricing Studies
•
Often the area where most of the modeling is centered
•
Need assumptions for
•
Business Volume
•
Expenses(ALAE And ULAE)
•
Claims (split by type)
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May have a complex reinsurance structure to model
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Again look to split data losses into attritional, Large and
Catastrophic. (incorporating RMS/EQEcat/AIR etc)
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Often the scale of these data items become large
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Correct Choice of Catastrophe Model
Reinsurance & Mitigation
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Reinsurance Structures can be very complicated particularly where
there are inuring reinsurances and also intra group.
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Especially when there are non traditional covers in place
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Possible that prior years reinsurance details are even more
problematic.
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Can also factor in Bad Debt both on New business and Old
Business. Often with the same counterparty.
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Sometimes there are possible and serious exhaustion issues,
especially in the case of Run off entities.
•
Where Catastrophe covers are written, need to ensure that losses
are modeled at a granularity and sophistication to capture Event
identifiers.
•
Often a multitude of various reinsurance structures are
superimposed on Gross Losses to find “efficient” structures.
Assets
•
Not usually the main area of study/analysis for non life Actuaries
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Can indeed be a significant source of Balance sheet Volatility if
there are significant FX exposures and also mismatched terms
(e.g. short tail bonds/cash against Workers Comp Liabilities)
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Need to deploy the macro economic scenarios created by an
Economic Scenario Generator to revalue Assets at future balance
sheet dates and Dividend Yield and interest income.
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Link/drive the performance of the some of the relevant liability
items to these macro economic variables to create realistic liability
valuations
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FX is often the main area of concern for Non life (re)insurers
together with Inflation and also GDP growth and unemployment
rates which can drive attritional losses and also claims on Credit /
Bond business.
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Also consider Index Linked Assets (Cat Bonds) for matched
liabilities
Correlation
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Generally 3 types to consider.
1. Causal
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Certain Events / Drivers Act to affect Asset and Liability values often
with many separately modeled items being affected simultaneously
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Example would be a inflation driver affecting the loss payments on
classes that were subject to inflation
2. Copula Based
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Matrix of correlation coefficients that are used when sampling random
variables used to generate losses
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Often used to generate loss ratios on attritional losses
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More complex copulas (Clayton, Gumbel) to create Tail Dependency
3. Environmental / Economic
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Economic environment affecting Asset Values
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Change in spread and yield curves affecting Bond Yields
Parameters & Integration into Core
Function of the Company
Actuarial
Assumptions
(Loss Ratios,
Correlations)
Macro Economic
ESG (FX, GDP,
Inflation,
Unemployment,
Interest)
Data from IT System
(Premium, Exposures)
Calculation Kernel
(Internal Capital
Model)
Catastrophe Event
Files (RMS, AIR, Eqecat)
Reports
Reinsurance
Covers