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Gero Michel, PHD., MSc., adjunct Prof. Western University, London Ont., Managing
Director, Chaucer Copenhagen Office
James Daniell, PHD. MSc., General Sir John Monash Scholar, Karlsruhe Institute of
Technology, Germany, CEDIM Researcher, CATDAT Founder
Parametric Risk Transfer Products,
”Non-conventional” Solutions for Nat. Cat. Risk
β€ž Protectionβ€œ Gap, Insured vs.
Economic Risk
High penetration, Fire, Wind (EU, US, JP, AU, NZ, CN), Flood (UK, CEE)
Not covered: Infrastructure, Emerging markets (partly), developing markets
(<5%), Flood many areas, earthquake...
Insured AAL, USD 75bn Economic AAL, USD 350bn
2
X2
β€’ Cash Flow: Delay in payment for indemnified losses may
lock in capital at high cost (NZ Eqs, HU Irma, other)
β€’ Insurance infrastructure might be weak (protection
gap)
β€’ Indirect losses (loss of profit etc.), sanctions, other may
hinder solutions or lack well integrated loss models
β€’ Missing Transparency, Black Box Models, Model
Uncertainty, Change, current solutions might not be
sufficient (e.g. temperature correlation to energy consumption
>95%)
The Challenge …
3
Has lead to:
a) Lack of Risk Transfer Products
b) Low capacity/High Price
c) Delayed pay-out hindering business
continuity
The Challenge …
4
β€’ Intensity in a Box, indicators such as temperature,
pressure, precipitation, ground acceleration, windspeed etc.
β€’ Other, e.g. Economic Indicators
β€’ Loss in a Box, actual/modelled
β€’ Box can range between β€œlarge” box (low res., e.g. 10s to 100s of
km), nested solutions, to high res. grid
β€’ Combinations of triggers (indicators, modelled, indemnity)
β€’ Fixed indicator (ex-ante) or modelling agent (ex-ante and
ex-post)
Triggers for Parametric
Products
5
Reduced Basis Risk
6
M=7.4from to
Intensity in a box,
High basis risk
Low Resolution
Inflexible
Risk not well understood
Intensity in a grid
Low Basis Risk
High Resolution
Flexible
Risk well understood
M=8
Pre-calculated
losses all
intensities (e.g. steps of
0.1) for each grid cell
Odds for selected
intensities
Iran EQ Trigger Product
Risk/Trigger product independent of underlying indemnity
losses for Iran (sanctions) such that
a)Basis risk is minimized
b) Loss trigger can be calculated using a method that is flexible,
accurate, auditable, and can be used Ex-ante or Ex-post
In order to do this the product has been:
1) Based on a detailed earthquake risk model for Iran
2) Includes (high resolution) industry exposure
3) Future as well as past earthquake Losses
4) Connects future earthquakes to tradeable products
7
Fault line
Modelling
IRAN EARTHQUAKE HAZARD MODEL
COMPONENTS
Complex Area
Source
Modelling
Shallow Area
Source
Modelling
Point Source
Modelling
Follows historical earthquakes, geology, tectonics, & fault regimes
Two modes – 1) from the original area source model of GSHAP; and 2) from
the latest modelling in the Middle East (EMME) project. Results compared to
Chaucer internal Iran risk model
8
EARTHQUAKE CATALOGUE FOR
IRAN
Stochastic event set (right). Over 720,000 earthquakes in a 100,000
year stochastic event set with M>=5.5
All possible combinations of earthquakes with sufficient occurrences for a
reasonably stable PML/Risk curves and high resolution trigger
product
Zare et al. IIEES, internal mod.
Historical EQs Stochastic Event-set
9
β€’ Exposure: Disaggregation of
available Insurance data
β€’ Distribution by population and capital
stock density per province
β€’ Uses settlement footprints and census
data
β€’ Building types from construction statistics
and census
β€’ Detailed analysis of portfolio likelihood at
a point
β€’ Vulnerability: Calibrated functions
based on Iranian typologies
β€’ 8 basic vulnerability functions for
insurance portfolios from publications
β€’ Functions consistent with uncertainty
associated with buildings
Exposure Model &
Vulnerability Models
10
Trigger Product Iran
β€’ Detailed earthquake in a box
trigger with all magnitude events
revealing losses
β€’ 10km by 10km grid-cells chosen
with the hypocentre within each cell
triggering loss payment (large # of event
years for covering uncertainty),
β€’ Ex-ante: Earthquake losses
calculated for all possible
magnitudes between 5.5 and 8.5
in steps of 0.1 for each cell.
Layer 0 1 2 3 4 5 6 7 8 9 10 11
Priority (bill. IRR) 0 450 1200 2400 4800 9600 15000 21000 28000 34000 40000 45000
5.5 630.538% 5.308% 1.985% 0.935% 0.611% 0.090% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000%
5.6 507.440% 5.184% 1.945% 0.963% 0.526% 0.096% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000%
5.7 408.642% 5.686% 2.054% 1.064% 0.503% 0.240% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000%
5.8 328.495% 5.969% 2.151% 0.962% 0.485% 0.268% 0.066% 0.000% 0.000% 0.000% 0.000% 0.000%
5.9 264.084% 6.185% 2.072% 1.016% 0.501% 0.264% 0.141% 0.038% 0.000% 0.000% 0.000% 0.000%
6 211.872% 6.646% 2.173% 1.086% 0.532% 0.252% 0.148% 0.041% 0.000% 0.000% 0.000% 0.000%
6.1 169.924% 7.041% 2.325% 1.027% 0.526% 0.255% 0.166% 0.077% 0.033% 0.000% 0.000% 0.000%
6.2 135.920% 7.635% 2.348% 1.071% 0.549% 0.294% 0.175% 0.120% 0.060% 0.026% 0.018% 0.000%
6.3 108.339% 8.464% 2.504% 1.136% 0.550% 0.278% 0.174% 0.107% 0.087% 0.042% 0.018% 0.015%
6.4 86.330% 9.505% 2.698% 1.140% 0.521% 0.239% 0.164% 0.101% 0.080% 0.064% 0.034% 0.031%
6.5 68.410% 9.896% 2.831% 1.192% 0.505% 0.254% 0.173% 0.113% 0.070% 0.059% 0.046% 0.027%
6.6 53.986% 9.831% 2.958% 1.243% 0.546% 0.241% 0.153% 0.100% 0.078% 0.050% 0.040% 0.038%
6.7 42.119% 9.198% 3.146% 1.257% 0.534% 0.230% 0.143% 0.100% 0.064% 0.059% 0.038% 0.037%
6.8 32.819% 8.385% 3.274% 1.289% 0.508% 0.219% 0.140% 0.103% 0.064% 0.048% 0.045% 0.030%
6.9 25.117% 7.296% 3.299% 1.288% 0.491% 0.197% 0.126% 0.085% 0.061% 0.041% 0.031% 0.026%
7 19.033% 6.127% 3.094% 1.247% 0.475% 0.197% 0.106% 0.072% 0.052% 0.039% 0.028% 0.024%
7.1 14.284% 5.010% 2.810% 1.276% 0.474% 0.178% 0.095% 0.064% 0.046% 0.038% 0.032% 0.025%
7.2 10.343% 3.959% 2.355% 1.235% 0.461% 0.165% 0.096% 0.057% 0.043% 0.037% 0.032% 0.028%
7.3 7.407% 3.058% 1.955% 1.132% 0.425% 0.159% 0.081% 0.048% 0.033% 0.026% 0.024% 0.023%
7.4 4.946% 2.165% 1.498% 0.929% 0.397% 0.140% 0.069% 0.042% 0.025% 0.022% 0.018% 0.016%
7.5 3.151% 1.418% 1.044% 0.660% 0.319% 0.108% 0.060% 0.033% 0.021% 0.019% 0.018% 0.016%
7.6 2.102% 0.945% 0.735% 0.482% 0.258% 0.089% 0.047% 0.024% 0.018% 0.010% 0.010% 0.010%
7.7 1.255% 0.577% 0.467% 0.325% 0.169% 0.062% 0.030% 0.015% 0.008% 0.008% 0.005% 0.004%
7.8 0.603% 0.266% 0.216% 0.147% 0.077% 0.029% 0.014% 0.010% 0.004% 0.004% 0.003% 0.003%
7.9 0.321% 0.127% 0.104% 0.082% 0.045% 0.020% 0.013% 0.007% 0.005% 0.003% 0.003% 0.003%
8 0.154% 0.046% 0.043% 0.038% 0.023% 0.010% 0.006% 0.005% 0.002% 0.001% 0.001% 0.000%
8.1 0.086% 0.022% 0.020% 0.018% 0.007% 0.003% 0.001% 0.001% 0.000% 0.000% 0.000% 0.000%
8.2 0.055% 0.009% 0.008% 0.008% 0.004% 0.001% 0.001% 0.001% 0.000% 0.000% 0.000% 0.000%
8.3 0.035% 0.003% 0.002% 0.002% 0.001% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000%
8.4 0.023% 0.002% 0.001% 0.001% 0.001% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000%
8.5 0.017% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000%
RECENT EVENT IN
IRAN (Mw7.2/7.3)
Indicated loss matched
portfolio loss (stayed
within considered 1st
layer)
11
Parametric EQ Trigger Product,
Central Asia
β€’ Parametric EQ Trigger
covering Central Asia plus
Azerbaijan, Armenia, and Georgia
β€’ Product based on trigger grid
with pre-calculated
industry/company losses
for all magnitudes between 5.5
and 8.5, spacing of 10-20km
β€’ Pay-out defined by location, zone,
country, or group of countries
β€’ Trigger Loss based on EQ
magnitude magnitudes in steps of
0.1
β€’ Premium/fee as multiple of
expected loss calculated for the
trigger product (underlying model)
Providing grid updates (exposure) annually (i.e. losses
for each magnitude by country and for all groups of
countries, Risklayer as modelling agent
12
β€’ Pan-Central Asian EQ Model
β€’ Local or regional parametric trigger products
β€’ Local/Regional Vulnerabilities
β€’ High Resolution Economic or specific Exposure
β€’ Local/Regional Hazard
β€’ Pan-Central Asian EQ event set
Basic EQ
event set
”Hazard,
Source Zones,
Max. Eqs,
Grounds acc.
Exposure,
enforecement
of code
Trigger Products Based on Modelled
Losses, EQ Model based on Daniell & Schaefer (2014)
Vulnerability
Stats. layers
Modelled
Results
13
Economic Losses Over Time
Normalized historical losses
considering exposure as well as
vulnerability change!
14
Conclusion/Outlook
Parametric/index products might help:
Cash-Flow - minimize capital cost – capital market products
Higher Transparency (openly discussed index or published model)
Fill the Protection Gap
Dual trigger products for swift pay-out after loss
Enlarge Ecosystem of modelling/Analytics agents
Explosively growing Sensor products (digital homes) – Quasi-real time losses
Crowdsourced exposure may help Avoid emerging GDPR issues
(independent loss triggers)
Trading on future β€œinter-markets” platforms with index products
15

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Parametric Risk Transfer Products - Gero Michel

  • 1. Gero Michel, PHD., MSc., adjunct Prof. Western University, London Ont., Managing Director, Chaucer Copenhagen Office James Daniell, PHD. MSc., General Sir John Monash Scholar, Karlsruhe Institute of Technology, Germany, CEDIM Researcher, CATDAT Founder Parametric Risk Transfer Products, ”Non-conventional” Solutions for Nat. Cat. Risk
  • 2. β€ž Protectionβ€œ Gap, Insured vs. Economic Risk High penetration, Fire, Wind (EU, US, JP, AU, NZ, CN), Flood (UK, CEE) Not covered: Infrastructure, Emerging markets (partly), developing markets (<5%), Flood many areas, earthquake... Insured AAL, USD 75bn Economic AAL, USD 350bn 2 X2
  • 3. β€’ Cash Flow: Delay in payment for indemnified losses may lock in capital at high cost (NZ Eqs, HU Irma, other) β€’ Insurance infrastructure might be weak (protection gap) β€’ Indirect losses (loss of profit etc.), sanctions, other may hinder solutions or lack well integrated loss models β€’ Missing Transparency, Black Box Models, Model Uncertainty, Change, current solutions might not be sufficient (e.g. temperature correlation to energy consumption >95%) The Challenge … 3
  • 4. Has lead to: a) Lack of Risk Transfer Products b) Low capacity/High Price c) Delayed pay-out hindering business continuity The Challenge … 4
  • 5. β€’ Intensity in a Box, indicators such as temperature, pressure, precipitation, ground acceleration, windspeed etc. β€’ Other, e.g. Economic Indicators β€’ Loss in a Box, actual/modelled β€’ Box can range between β€œlarge” box (low res., e.g. 10s to 100s of km), nested solutions, to high res. grid β€’ Combinations of triggers (indicators, modelled, indemnity) β€’ Fixed indicator (ex-ante) or modelling agent (ex-ante and ex-post) Triggers for Parametric Products 5
  • 6. Reduced Basis Risk 6 M=7.4from to Intensity in a box, High basis risk Low Resolution Inflexible Risk not well understood Intensity in a grid Low Basis Risk High Resolution Flexible Risk well understood M=8 Pre-calculated losses all intensities (e.g. steps of 0.1) for each grid cell Odds for selected intensities
  • 7. Iran EQ Trigger Product Risk/Trigger product independent of underlying indemnity losses for Iran (sanctions) such that a)Basis risk is minimized b) Loss trigger can be calculated using a method that is flexible, accurate, auditable, and can be used Ex-ante or Ex-post In order to do this the product has been: 1) Based on a detailed earthquake risk model for Iran 2) Includes (high resolution) industry exposure 3) Future as well as past earthquake Losses 4) Connects future earthquakes to tradeable products 7
  • 8. Fault line Modelling IRAN EARTHQUAKE HAZARD MODEL COMPONENTS Complex Area Source Modelling Shallow Area Source Modelling Point Source Modelling Follows historical earthquakes, geology, tectonics, & fault regimes Two modes – 1) from the original area source model of GSHAP; and 2) from the latest modelling in the Middle East (EMME) project. Results compared to Chaucer internal Iran risk model 8
  • 9. EARTHQUAKE CATALOGUE FOR IRAN Stochastic event set (right). Over 720,000 earthquakes in a 100,000 year stochastic event set with M>=5.5 All possible combinations of earthquakes with sufficient occurrences for a reasonably stable PML/Risk curves and high resolution trigger product Zare et al. IIEES, internal mod. Historical EQs Stochastic Event-set 9
  • 10. β€’ Exposure: Disaggregation of available Insurance data β€’ Distribution by population and capital stock density per province β€’ Uses settlement footprints and census data β€’ Building types from construction statistics and census β€’ Detailed analysis of portfolio likelihood at a point β€’ Vulnerability: Calibrated functions based on Iranian typologies β€’ 8 basic vulnerability functions for insurance portfolios from publications β€’ Functions consistent with uncertainty associated with buildings Exposure Model & Vulnerability Models 10
  • 11. Trigger Product Iran β€’ Detailed earthquake in a box trigger with all magnitude events revealing losses β€’ 10km by 10km grid-cells chosen with the hypocentre within each cell triggering loss payment (large # of event years for covering uncertainty), β€’ Ex-ante: Earthquake losses calculated for all possible magnitudes between 5.5 and 8.5 in steps of 0.1 for each cell. Layer 0 1 2 3 4 5 6 7 8 9 10 11 Priority (bill. IRR) 0 450 1200 2400 4800 9600 15000 21000 28000 34000 40000 45000 5.5 630.538% 5.308% 1.985% 0.935% 0.611% 0.090% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 5.6 507.440% 5.184% 1.945% 0.963% 0.526% 0.096% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 5.7 408.642% 5.686% 2.054% 1.064% 0.503% 0.240% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 5.8 328.495% 5.969% 2.151% 0.962% 0.485% 0.268% 0.066% 0.000% 0.000% 0.000% 0.000% 0.000% 5.9 264.084% 6.185% 2.072% 1.016% 0.501% 0.264% 0.141% 0.038% 0.000% 0.000% 0.000% 0.000% 6 211.872% 6.646% 2.173% 1.086% 0.532% 0.252% 0.148% 0.041% 0.000% 0.000% 0.000% 0.000% 6.1 169.924% 7.041% 2.325% 1.027% 0.526% 0.255% 0.166% 0.077% 0.033% 0.000% 0.000% 0.000% 6.2 135.920% 7.635% 2.348% 1.071% 0.549% 0.294% 0.175% 0.120% 0.060% 0.026% 0.018% 0.000% 6.3 108.339% 8.464% 2.504% 1.136% 0.550% 0.278% 0.174% 0.107% 0.087% 0.042% 0.018% 0.015% 6.4 86.330% 9.505% 2.698% 1.140% 0.521% 0.239% 0.164% 0.101% 0.080% 0.064% 0.034% 0.031% 6.5 68.410% 9.896% 2.831% 1.192% 0.505% 0.254% 0.173% 0.113% 0.070% 0.059% 0.046% 0.027% 6.6 53.986% 9.831% 2.958% 1.243% 0.546% 0.241% 0.153% 0.100% 0.078% 0.050% 0.040% 0.038% 6.7 42.119% 9.198% 3.146% 1.257% 0.534% 0.230% 0.143% 0.100% 0.064% 0.059% 0.038% 0.037% 6.8 32.819% 8.385% 3.274% 1.289% 0.508% 0.219% 0.140% 0.103% 0.064% 0.048% 0.045% 0.030% 6.9 25.117% 7.296% 3.299% 1.288% 0.491% 0.197% 0.126% 0.085% 0.061% 0.041% 0.031% 0.026% 7 19.033% 6.127% 3.094% 1.247% 0.475% 0.197% 0.106% 0.072% 0.052% 0.039% 0.028% 0.024% 7.1 14.284% 5.010% 2.810% 1.276% 0.474% 0.178% 0.095% 0.064% 0.046% 0.038% 0.032% 0.025% 7.2 10.343% 3.959% 2.355% 1.235% 0.461% 0.165% 0.096% 0.057% 0.043% 0.037% 0.032% 0.028% 7.3 7.407% 3.058% 1.955% 1.132% 0.425% 0.159% 0.081% 0.048% 0.033% 0.026% 0.024% 0.023% 7.4 4.946% 2.165% 1.498% 0.929% 0.397% 0.140% 0.069% 0.042% 0.025% 0.022% 0.018% 0.016% 7.5 3.151% 1.418% 1.044% 0.660% 0.319% 0.108% 0.060% 0.033% 0.021% 0.019% 0.018% 0.016% 7.6 2.102% 0.945% 0.735% 0.482% 0.258% 0.089% 0.047% 0.024% 0.018% 0.010% 0.010% 0.010% 7.7 1.255% 0.577% 0.467% 0.325% 0.169% 0.062% 0.030% 0.015% 0.008% 0.008% 0.005% 0.004% 7.8 0.603% 0.266% 0.216% 0.147% 0.077% 0.029% 0.014% 0.010% 0.004% 0.004% 0.003% 0.003% 7.9 0.321% 0.127% 0.104% 0.082% 0.045% 0.020% 0.013% 0.007% 0.005% 0.003% 0.003% 0.003% 8 0.154% 0.046% 0.043% 0.038% 0.023% 0.010% 0.006% 0.005% 0.002% 0.001% 0.001% 0.000% 8.1 0.086% 0.022% 0.020% 0.018% 0.007% 0.003% 0.001% 0.001% 0.000% 0.000% 0.000% 0.000% 8.2 0.055% 0.009% 0.008% 0.008% 0.004% 0.001% 0.001% 0.001% 0.000% 0.000% 0.000% 0.000% 8.3 0.035% 0.003% 0.002% 0.002% 0.001% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 8.4 0.023% 0.002% 0.001% 0.001% 0.001% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 8.5 0.017% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% RECENT EVENT IN IRAN (Mw7.2/7.3) Indicated loss matched portfolio loss (stayed within considered 1st layer) 11
  • 12. Parametric EQ Trigger Product, Central Asia β€’ Parametric EQ Trigger covering Central Asia plus Azerbaijan, Armenia, and Georgia β€’ Product based on trigger grid with pre-calculated industry/company losses for all magnitudes between 5.5 and 8.5, spacing of 10-20km β€’ Pay-out defined by location, zone, country, or group of countries β€’ Trigger Loss based on EQ magnitude magnitudes in steps of 0.1 β€’ Premium/fee as multiple of expected loss calculated for the trigger product (underlying model) Providing grid updates (exposure) annually (i.e. losses for each magnitude by country and for all groups of countries, Risklayer as modelling agent 12
  • 13. β€’ Pan-Central Asian EQ Model β€’ Local or regional parametric trigger products β€’ Local/Regional Vulnerabilities β€’ High Resolution Economic or specific Exposure β€’ Local/Regional Hazard β€’ Pan-Central Asian EQ event set Basic EQ event set ”Hazard, Source Zones, Max. Eqs, Grounds acc. Exposure, enforecement of code Trigger Products Based on Modelled Losses, EQ Model based on Daniell & Schaefer (2014) Vulnerability Stats. layers Modelled Results 13
  • 14. Economic Losses Over Time Normalized historical losses considering exposure as well as vulnerability change! 14
  • 15. Conclusion/Outlook Parametric/index products might help: Cash-Flow - minimize capital cost – capital market products Higher Transparency (openly discussed index or published model) Fill the Protection Gap Dual trigger products for swift pay-out after loss Enlarge Ecosystem of modelling/Analytics agents Explosively growing Sensor products (digital homes) – Quasi-real time losses Crowdsourced exposure may help Avoid emerging GDPR issues (independent loss triggers) Trading on future β€œinter-markets” platforms with index products 15

Editor's Notes

  1. A pleasure... Logistics.... Please do not serve the internet during Slobodan’s presentation as he aims at giving us some real time information he needs all what we might have in internet capacity available then Fire exits and restrooms And for those from the UK, Yes, I know we are at Carlsberg but beer will not start before lunch, no worries, there will be opportunities to enjoy the brewery
  2. A few examples of the topics we discuss include: Enlarging the scope of our business further into areas where capital need is higher. You might see the large difference between economic damage and concentration of insured losses. The picture is by the way not to scale and the spots on teh right are all larger than on the left. 370bn economic nat cat losses as opposed to 65bn insured. This does not include cyber which will double the economic losses but only increases the insured losses by a small margin.