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1 Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017 TERRORISM MODELING Chris Folkman, Senior Director, Product

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Page 1: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

1Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

TERRORISM MODELING

Chris Folkman, Senior Director, Product

Page 2: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

2Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017Copyright © 2015 Risk Management Solutions, Inc. .

AGENDA

What is a catastrophe model and why use

one?

Terrorism modeling, and how it differs from

natural catastrophe modeling

The terrorism threat environment and its

modeling implications

Q&A and Discussion

Page 3: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

3Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

RMS PERIL MODEL COVERAGE

Earthquake

Tropical Cyclone

Windstorm

Severe Convective

Storm

Winter Storm

Flood

Terrorism

Pandemic

Longevity

RMS MODELS

Page 4: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

4Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017Copyright © 2015 Risk Management Solutions, Inc. .

9/11 insured loss

$44 billion

WTC site footprint

16 acres

First Terrorism Model

2002

Credit: Jim MacMillan

Page 5: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

5Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

CALCULATION STEPS OF A CAT MODEL

Assess

Hazard

Calculate

Damage

Quantify

Financial Loss

Generate

Events

Apply

Exposure

Addresses lat

long

Value of Building,

Contents, Business

Interruption.

Which events in the

catalog affect exposure

at risk?

65,000 events in U.S.

Terrorism Model

Bomb blast intensity

Wind Speed

Flood Depth

Ground shaking

Intensity

Damage to each

location

Uncertainty measure

of damage (corre

Exceedance

probability (1-in-100,

1-in-250)

Average Annual Loss

(Pure Premium)

Apply Limits,

Deductibles, Treaty

Terms

Page 6: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

6Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

EXPOSURE MODELING: GEOCODING

Translation of address data

– From “local coordinates”

• like mailing addresses

– Into “global coordinates”

• latitude, longitude (37.7561° N, 122.2744° W)

Preparation of data

for analysis

– Retrieval of “Grid Cell ID” for model

Page 7: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

7Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

GEOCODING: U.S. EXAMPLE

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8Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

EXPOSURE MODELING: GLOBAL GRID SYSTEM

1001910019

1000110001

1001610016

1001110011

1002110021

10022100221003610036

1001810018

1001710017

0008300083

1001010010

1002310023

1001410014

1000310003

1110111101

1002010020

1122211222

1004410044

1000210002

1110911109

4

0 0.5 1 1.5 20.25Kilometers

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9Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

HAZARD OVERLAY

1001910019

1000110001

1001610016

1001110011

1002110021

10022100221003610036

1001810018

1001710017

0008300083

1001010010

1002310023

1001410014

1000310003

1110111101

1002010020

1122211222

1004410044

1000210002

1110911109

4

0 0.5 1 1.5 20.25Kilometers

Low Hazard

High Hazard

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10Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

ASSIGN LOCATIONS TO GRID CELLS

1001910019

1000110001

1001610016

1001110011

1002110021

10022100221003610036

1001810018

1001710017

0008300083

1001010010

1002310023

1001410014

1000310003

1110111101

1002010020

1122211222

1004410044

1000210002

1110911109

4

0 0.5 1 1.5 20.25Kilometers

Insured Location

Low Hazard

High Hazard

… TO DETERMINE HAZARD VALUE FOR EACH LOCATION

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11Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

THE IMPORTANCE OF GOOD ADDRESS DATA

• All addresses in a portfolio are translated to a single point.

• GOOD geocoding (in the U.S): building-level or street level.

• BAD geocoding: post-code, county, state.

• Perils like flood and terrorism VERY sensitive to address

resolution.

• Inaccurate exposure data will lead to the wrong answer:

Unnecessary conservatism in underwriting and portfolio

management.

False confidence in risk avoidance

Inefficient use of capital

Page 12: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

12Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

HAZARD GRADIENT

gra·di·ent. /ɡrādēənt/

an increase or decrease in the magnitude of a property

(e.g., temperature, pressure, or concentration)

observed in passing from one point or moment to

another.

Which of the following have high hazard gradients?

• Hurricane

• Earthquake

• Tornado

• Bomb Blast

• Flood

Page 13: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

13Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

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14Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

Vulnerability functions are defined by

key building features

• Construction class

• Building height

• Year of construction

• Occupancy type

VULNERABILITY

(Given that a building is subject to a certain blast

pressure, what will be its damage?)

14

Bomb Blast Pressure (PSI)M

ea

n D

am

ag

e R

atio

(%

) 4 story unreinforced

masonry

Low-rise

reinforced concrete

Example Vulnerability Module

Page 15: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

15Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

FINANCIAL MODEL OUTPUT: THE BASICS

An

nu

al P

rob

ab

ility

of E

xce

ed

ance

Loss

Return

Period Loss

(RPLp)

$1M

1%

EP (Exceedance Probability) curve

Event Loss (l) Annual

Rate (r)

Return

Period

Rate *

Loss

1 $5 M 0.04 250.2

2 $3 M 0.08 130.24

3 $25 M 0.005 2000.125

4 $12 MM 0.008 1250.096

5 $50 MM 0.001 10000.05

… … … … …

n … … … …

All Events Sum(r*l)

Average Annual Loss (AAL)

Tail risk analysis; solvency considerations;

reinsurance decisions

Event Loss Table (ELT)

Page 16: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

16Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017Copyright © 2015 Risk Management Solutions, Inc. .

Uncertainty plays a key role in shaping the exceedance probability curve, showing losses at key return periods.

0

100,000

200,000

300,000

400,000

500,000

600,000

Winterstorm Terrorism Earthquake+ Fire

Hurricane ConvectiveStorm

$ M

illi

on

s

250 Year

1,000Year

5,000Year

U.S. Industry Risk By Peril

Page 17: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

17Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017Copyright © 2015 Risk Management Solutions, Inc. .

CAT MODELING IS A BIG DATA

EXERCISE

Example: for a portfolio of 350,000 locations in a terrorism

analysis:

• 350,000 locations x 35,000 events x 5 financial terms (limits,

deductibles, exclusions, etc.) x 5 geocoding calculations x 2

hazard retrievals x 4 vulnerability calculations =

2.5 trillion calculations. And a lot of data produced.

Model # of Simulated Events

Japan Earthquake 30,000

Australia Convective Storm 32,000

Europe Windstorm 40,000

North Atlantic Hurricane 50,000

U.S. Terrorism 65,000

North America Severe Convective Storm 83,000

China Earthquake 85,000

Page 18: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

18Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

Quantify loss for on attack

scenario.

Manage losses of

benchmark scenarios to

acceptable levels.

Submitted to rating

agencies (i.e. AM Best).

Monitor exposure

concentration around high

risk targets.

Identify building level

accumulations.

Identify exposure “Hot

Spots” within given radius.

TERRORISM RISK MANAGEMENT A “THREE PRONGED APPROACH”

SCENARIO LOSS MODELINGEXPOSURE MANAGEMENT

Identify most critical attack

scenarios for a portfolio

Rank portfolios or accounts

by their risk of terrorism.

Calculate impact of multiple

attacks as part of a single

event (multiplicity).

PROBABILISTIC LOSS MODELING

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19Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

PROBABILISTIC MODELING OF TERRORISM

65,000 U.S. attack simulations

Relative risk by city, target type, weapon selection

Output enables drill down: by account, location,

target type, city, line of business

Assist underwriters in risk selection

Design and implement underwriting guidelines

Capacity allocation

Evaluate reinsurance needs and options

Page 20: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

20Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017 20March 7, 2017

COMPONENTS OF TERRORISM LIKELIHOOD

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21Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017Copyright © 2014 Risk Management Solutions, IncCopyright © 2015 Risk Management Solutions, Inc.

SAMPLE TERRORISM PROBABILITY DISTRIBUTION

Probability of having 0,

1, 2, 3, 4+ events per

year

Data behind this:

• # of intercepted plots

• # of successful attacks

• Countersecurity effectiveness and funding

• All inputs to a Monte Carlo simulation that informs distribution

Components of

Terrorism

Likelihood:

• Frequency

• Multiplicity

• Conditional

Probability

Page 22: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

22Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017Copyright © 2014 Risk Management Solutions, IncCopyright © 2015 Risk Management Solutions, Inc.

MULTIPLICITY IS A HALLMARK OF TERRORIST ATTACKS

Probability of having up to n synchronous,

coordinated attacksComponents of

Terrorism

Likelihood:

• Frequency

• Multiplicity

• Conditional

ProbabilityLarge Dirty Bomb

Average Multiplicity = 1.4

600 lb. Bomb

Average Multiplicity = 3.17

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23Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017Copyright © 2014 Risk Management Solutions, IncCopyright © 2015 Risk Management Solutions, Inc.

Components of

Terrorism

Likelihood:

• Frequency

• Multiplicity

• Conditional

Probability

01 2 3 4 5 6 7 8

RMS U.S. City Tiers

Rela

tive

Lik

eli

ho

od New York

Washington

Chicago

Los Angeles

San Francisco

Houston

Las Vegas

Boston

Philadelphia

Miami

San Diego

Category Tier U.S. Target Categories

Tier 1 Major federal, state, or local government buildings

Tier 2Airports, central business districts, hotels, casinos, nuclear power

plants, skyscrapers, stock exchange buildings

Tier 3Military bases, road bridges, road tunnels, stadiums, subway stations,

train stations, railways used for transportation of Hazmat material

Tier 4Amusement parks, industrial facilities, natural gas facilities, oil

refineries, ports, tourist attractions, shopping malls

Tier 5Gas stations, HQ of Fortune 100 companies, HQ of media

companies, theater/entertainment centers

Tier 6 Foreign consulates, United Nations buildings

Tier 7 All other targets

Given an attack

occurs, what is its

the likelihood:

By City

By Target

By Weapon

Page 24: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

24Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

TERRORISM IS DIFFICULT TO INSURE

Loss outcome uncertainty is high.

Event footprints are small.

Risk landscape is unpredictable.

Areas of high risk are areas of high

exposure.

Event Description Loss ($Billions) Fatalities

Nuclear Detonation,

5 kiloton yield, Chicago

$530 300,000

Anthrax attack, 75 kg

anthrax slurry, Philadelphia

$216 60,000

Nuclear Power Plant

Sabotage, Illinois

$148 Few

Dirty Bomb, 15,000 curies

cesium-137, New York

$127 Few

Anthrax attack, 1 kg anthrax

slurry, Philadelphia

$44 10,000

Bomb, 10 ton TNT

equivalence, New York

$40 9,000

Sarin Gas Attack, 1,000 kg

release, New York

$17 2,000

Events from RMS industry loss curve

Page 25: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

25Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

…BUT IT CAN, AND SHOULD BE MODELED

Large scale events (events that can threaten insurer solvency) are

easier to understand and model.

600 lb. Car Bomb

1 ton Minivan Bomb

5 ton Truck Bomb

10 ton Trailer Bomb

2 ton Box Van Bomb

Aircraft Impact Attack

Tanker Conflagration AttackNuclear Detonation

Radiological Attack

Chemical Agent Attack

Sabotage Attacks

Biological Agent Attack

Page 26: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

26Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017Copyright © 2015 Risk Management Solutions, Inc. .

Much better data today to model terrorism

• 140,000+ historical attacks worldwide are cataloged

• Hundreds of known large-scale plots

• Dozens of threat groups

• An increasing amount of transparency into counterterrorism

specifics:

Measures

Funding

Capability

• Better data Better Models, more potential for insurance

product innovation.

Page 27: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

27Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017 2727Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

INSURING AGAINST INFRASTRUCTURE FAILURE

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28Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017Copyright © 2015 Risk Management Solutions, Inc..

Leaked NSA slide:

how to submit a

surveillance request.

FISA oversight court

surveillance request

approval rate:

99.97%

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29Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

RISK IS HIGHEST WHERE EXPOSURE IS HIGHEST (MAJOR CITIES)

Large Scale Attacks Worldwide

Capital orTop 5Population

0 5 10 15 20

Other metropolitan areas

LA, Chicago, Miami, LasVegas

City target not disclosed

New York and DC

41 terrorist plots intercepted in the U.S.,

2002-2015

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30Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

HIGH RISK + HIGH EXPOSURE = DIVERSIFICATION CONUNDRUM

New York

ChicagoLos Angeles

San Francisco

Washington D.C.

Rest of U.S.

of expected U.S. loss is

concentrated in five

metropolitan areas.

77%

AAL from 2016 RMS industry loss curve

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31Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY

40+ writers of stand-alone terrorism worldwide offering $3-4 billion

capacity.

Backstopped by government pools (TRIA, Pool Re, GAREAT).

CBRN increasingly offered as renewal incentive on property policies.

More commoditization via broker facilities (“take it or leave it”).

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32Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

TAKEAWAYS

Full understanding of terrorism requires multiple modeling angles:

– Exposure management

– Deterministic scenarios

– Probabilistic modeling

All terrorism writers make assumptions on event frequency.

– Assumptions should be based on data.

– Probabilistic terrorism modeling allows most comprehensive view of risk.

Capable terrorists are rational actors whose targeting selections align with

principals maximizing “attack leverage”

Location-level data quality is important due to small event footprints

Data for terrorism modeling is much better today than 15 years ago. But

insuring terrorism risk will always be difficult.

Page 33: Terrorism Modeling Overview - CPCU Society...TERRORISM INSURANCE TODAY: BETTER MODELS, MORE UNDERWRITING CAPACITY 40+ writers of stand-alone terrorism worldwide offering $3-4 billion

RMS is the world’s leading provider of products, services, and expertise for thequantification and management of catastrophe risk. More than 400 leadinginsurers, reinsurers, trading companies, and other financial institutions rely onRMS models to quantify, manage, and transfer risk. As an established provider ofrisk modeling to companies across all market segments, RMS provides solutionsthat can be trusted as reliable benchmarks for strategic pricing, risk management,and risk transfer decisions.

©2014 Risk Management Solutions, Inc. RMS and the RMS logo are registeredtrademarks of Risk Management Solutions, Inc. All other trademarks are propertyof their respective owners.

RMS is the world’s leading provider of products, services, and expertise for thequantification and management of catastrophe risk. More than 400 leadinginsurers, reinsurers, trading companies, and other financial institutions rely onRMS models to quantify, manage, and transfer risk. As an established provider ofrisk modeling to companies across all market segments, RMS provides solutionsthat can be trusted as reliable benchmarks for strategic pricing, risk management,and risk transfer decisions.

©2014 Risk Management Solutions, Inc. RMS and the RMS logo are registeredtrademarks of Risk Management Solutions, nc. All other trademarks are propertyof their respective owners.

ABOUT RMS

33Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017

ABOUT RMS

33Copyright © 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017