TERRORISM MODELING. Chris Folkman, Senior Director, Product. Copyright 2015 Risk Management Solutions, Inc. All Rights Reserved.

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TERRORISM MODELING Chris Folkman, Senior Director, Product 1

What is a catastrophe model and why use one? AGENDA Terrorism modeling, and how it differs from natural catastrophe modeling The terrorism threat environment and its modeling implications Q&A and Discussion Copyright 2015 Risk Management Solutions, Inc.. All Rights Reserved. March 7, 2017 2

RMS MODELS RMS PERIL MODEL COVERAGE Earthquake Tropical Cyclone Windstorm Severe Convective Storm Winter Storm Flood Terrorism Pandemic Longevity 3

9/11 insured loss $44 billion WTC site footprint 16 acres First Terrorism Model 2002 Copyright 2015 Risk Management Solutions, Inc.. All Rights Reserved. March 7, 2017 Credit: Jim MacMillan 4

CALCULATION STEPS OF A CAT MODEL Apply Exposure Generate Events Assess Hazard Calculate Damage Quantify Financial Loss 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 5

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 6

GEOCODING: U.S. EXAMPLE 7

EXPOSURE MODELING: GLOBAL GRID SYSTEM 10023 00083 10021 10019 10036 10020 10022 10018 10001 10017 10044 10016 4 11109 10011 10010 11101 10014 10003 0 0.25 0.5 1 1.5 2 10002 Kilometers 11222 8

HAZARD OVERLAY 10023 00083 10021 Low Hazard 10019 10036 10020 10022 10018 10001 10017 10044 High Hazard 10016 4 11109 10011 10010 11101 10014 10003 0 0.25 0.5 1 1.5 2 10002 Kilometers 11222 9

ASSIGN LOCATIONS TO GRID CELLS 10023 Insured Location 00083 10021 Low Hazard 10019 10036 10020 10022 10018 10001 10017 10044 High Hazard 10016 4 11109 10011 10014 10003 10010 0 0.25 0.5 1 1.5 2 10002 Kilometers TO DETERMINE HAZARD VALUE FOR EACH LOCATION 11101 11222 10

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 11

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 12

13

Mean Damage Ratio (%) VULNERABILITY (Given that a building is subject to a certain blast pressure, what will be its damage?) Vulnerability functions are defined by key building features Example Vulnerability Module Construction class Building height Year of construction Occupancy type 4 story unreinforced masonry Low-rise reinforced concrete Bomb Blast Pressure (PSI) 14 14

Annual Probability of Exceedance FINANCIAL MODEL OUTPUT: THE BASICS Event Loss Table (ELT) Event Loss (l) Annual Rate (r) Return Period Rate * Loss 1 $5 M 0.04 25 0.2 2 $3 M 0.08 13 0.24 3 $25 M 0.005 200 0.125 4 $12 MM 0.008 125 0.096 5 $50 MM 0.001 1000 0.05 n All Events Sum(r*l) 1% Loss $1M Return Period Loss (RPL p ) Average Annual Loss (AAL) EP (Exceedance Probability) curve Tail risk analysis; solvency considerations; reinsurance decisions 15

$ Millions 600,000 U.S. Industry Risk By Peril 500,000 250 Year Uncertainty plays a key role in shaping the exceedance probability curve, showing losses at key return periods. 400,000 300,000 200,000 1,000 Year 5,000 Year 100,000 0 Winterstorm Terrorism Earthquake + Fire Hurricane Convective Storm Copyright 2015 Risk Management Solutions, Inc.. All Rights Reserved. March 7, 2017 16

CAT MODELING IS A BIG DATA EXERCISE 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 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. Copyright 2015 Risk Management Solutions, Inc.. All Rights Reserved. March 7, 2017 17

TERRORISM RISK MANAGEMENT A THREE PRONGED APPROACH EXPOSURE MANAGEMENT Monitor exposure concentration around high risk targets. Identify building level accumulations. Identify exposure Hot Spots within given radius. SCENARIO LOSS MODELING Quantify loss for on attack scenario. Manage losses of benchmark scenarios to acceptable levels. Submitted to rating agencies (i.e. AM Best). PROBABILISTIC LOSS MODELING 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). 18

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 19

COMPONENTS OF TERRORISM LIKELIHOOD 20

SAMPLE TERRORISM PROBABILITY DISTRIBUTION Components of Terrorism Likelihood: Frequency Multiplicity Conditional Probability Data behind this: # of intercepted plots # of successful attacks Countersecurity effectiveness and funding All inputs to a Monte Carlo simulation that informs distribution Probability of having 0, 1, 2, 3, 4+ events per year Copyright 2014 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017 21

MULTIPLICITY IS A HALLMARK OF TERRORIST ATTACKS Components of Terrorism Likelihood: Frequency Multiplicity Conditional Probability Probability of having up to n synchronous, coordinated attacks 600 lb. Bomb Average Multiplicity = 3.17 Large Dirty Bomb Average Multiplicity = 1.4 Copyright 2014 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017 22

Relative Likelihood Category Tier U.S. Target Categories Components of Terrorism Likelihood: Frequency Multiplicity Conditional Probability Given an attack occurs, what is its the likelihood: By City By Target By Weapon Tier 1 Tier 2 Tier 3 Tier 4 Tier 5 Tier 6 Tier 7 New York Washington Major federal, state, or local government buildings Airports, central business districts, hotels, casinos, nuclear power plants, skyscrapers, stock exchange buildings Military bases, road bridges, road tunnels, stadiums, subway stations, train stations, railways used for transportation of Hazmat material Amusement parks, industrial facilities, natural gas facilities, oil refineries, ports, tourist attractions, shopping malls Gas stations, HQ of Fortune 100 companies, HQ of media companies, theater/entertainment centers Foreign consulates, United Nations buildings All other targets Chicago Los Angeles San Francisco RMS U.S. City Tiers Houston Las Vegas Boston Philadelphia Miami San Diego 0 1 2 3 4 5 6 7 8 Copyright 2014 2015 Risk Management Solutions, Inc. All Rights Reserved. March 7, 2017 23

TERRORISM IS DIFFICULT TO INSURE Loss outcome uncertainty is high. Events from RMS industry loss curve Event Description Loss ($Billions) Fatalities Event footprints are small. Risk landscape is unpredictable. Areas of high risk are areas of high exposure. Nuclear Detonation, 5 kiloton yield, Chicago Anthrax attack, 75 kg anthrax slurry, Philadelphia Nuclear Power Plant Sabotage, Illinois Dirty Bomb, 15,000 curies cesium-137, New York Anthrax attack, 1 kg anthrax slurry, Philadelphia Bomb, 10 ton TNT equivalence, New York Sarin Gas Attack, 1,000 kg release, New York $530 300,000 $216 60,000 $148 Few $127 Few $44 10,000 $40 9,000 $17 2,000 24

BUT IT CAN, AND SHOULD BE MODELED 600 lb. Car Bomb 1 ton Minivan Bomb 2 ton Box Van Bomb 5 ton Truck Bomb 10 ton Trailer Bomb Tanker Conflagration Attack Sabotage Attacks Chemical Agent Attack Biological Agent Attack Radiological Attack Nuclear Detonation Aircraft Impact Attack Large scale events (events that can threaten insurer solvency) are easier to understand and model. 25

140,000+ historical attacks worldwide are cataloged Hundreds of known large-scale plots Dozens of threat groups Much better data today to model terrorism An increasing amount of transparency into counterterrorism specifics: Measures Funding Capability Better data Better Models, more potential for insurance product innovation. Copyright 2015 Risk Management Solutions, Inc.. All Rights Reserved. March 7, 2017 26

INSURING AGAINST INFRASTRUCTURE FAILURE 27

Leaked NSA slide: how to submit a surveillance request. FISA oversight court surveillance request approval rate: 99.97% Copyright 2015 Risk Management Solutions, Inc.. All Rights Reserved. March 7, 2017 28

RISK IS HIGHEST WHERE EXPOSURE IS HIGHEST (MAJOR CITIES) Large Scale Attacks Worldwide Capital or Top 5 Population 41 terrorist plots intercepted in the U.S., 2002-2015 New York and DC City target not disclosed LA, Chicago, Miami, Las Vegas Other metropolitan areas 0 5 10 15 20 29

HIGH RISK + HIGH EXPOSURE = DIVERSIFICATION CONUNDRUM Rest of U.S. Washington D.C. New York 77% San Francisco Los Angeles Chicago of expected U.S. loss is concentrated in five metropolitan areas. AAL from 2016 RMS industry loss curve 30

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 ). 31

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. 32

ABOUT RMS RMS is the world s leading provider of products, services, and expertise for the quantification and management of catastrophe risk. More than 400 leading insurers, reinsurers, trading companies, and other financial institutions rely on RMS models to quantify, manage, and transfer risk. As an established provider of risk modeling to companies across all market segments, RMS provides solutions that 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 registered trademarks of Risk Management Solutions, Inc. All other trademarks are property of their respective owners. 33