catastrophe excess of loss event
MSc Risk Management
Module: Reinsurance
Analytical Report
You work for The Stan Reinsurance Company (hereinafter referred as Stan Re), located in Bermuda. Your company has received an inward reinsurance business proposal from a UK based primary insurer named Limestreet Insurance Company (hereinafter referred as Limestreet). The Limestreet requires the Stan Re to be the lead underwriter of its Property, Liability and Accident businesses.
A summary of the Treaty Slips for (1) per risk Excess of Loss; and (2) catastrophe Excess of Loss including the relevant information necessary to carry out the assessment are available below.
Per Risk Excess of Loss Treaty Summary
|
Ceding Company |
Limestreet Insurance Company Ltd
|
|
Agreement |
This agreement between the ceding company and the reinsurer consist of two parts being the specific conditions specified in the treaty summary including any appendix and the general terms and conditions.
|
|
Period |
12 months commencing 1st of July 2021. Losses occurring irrespective of attachment dates of original policies.
|
|
Type |
Excess of Loss cover
|
|
Class |
Property, Liability and Accident businesses
|
|
Territory |
Worldwide
|
|
Limits and Deductibles |
1st Layer: To pay US$ 25,000,000 ultimate net loss each and every risk in excess of US$ 50,000,000 ultimate net loss each and every risk. |
|
|
2nd Layer: To pay US$ 25,000,000 ultimate net loss each and every risk in excess of US$ 75,000,000 ultimate net loss each and every risk. |
|
Reinstatements |
1st layer: four free |
|
|
2nd layer: one free |
|
Premium and rates |
As a part of this coursework you are required to calculate the Minimum Deposit Premium [see question (b) below]. |
|
Brokerage |
The advisable brokerage commission is 10% (0% on reinstatements). However, it is expected that students should use another rate based on their judgement on the basis of practical circumstances. |
|
General conditions |
See Questions (a) and (c) below.
|
|
Data |
Supplied in Tables 1, 2, 3, 4 and 5 below |
|
Table 1: GNPI |
|
|
Fiscal Year |
GNPI (estimated) in US$ |
|
2021/22 |
900,000,000 |
|
2020/21 |
750,000,000 |
|
2019/20 |
690,455,000 |
|
2018/19 |
610,500,000 |
|
2017/18 |
500,100,000 |
|
2016/17 |
480,000,000 |
|
2015/16 |
404,400,000 |
|
2014/15 |
366,500,000 |
|
2013/14 |
310,300,000 |
|
2012/13 |
255,800,000 |
|
2011/12 |
247,200,000 |
|
2010/11 |
238,000,000 |
Table 2: Projected Income for 2021/22
|
Country/region |
|
|
Projected Income (in US$) |
|
North America |
|
|
205,000,000 |
|
Europe |
|
|
250,250,000 |
|
Japan |
|
|
102,000,000 |
|
Asia |
|
|
170,250,000 |
|
Middle East |
|
|
161,100,000 |
|
South America |
|
|
100,000,000 |
|
Australasia |
|
|
110,150,000 |
|
Caribbean |
|
|
60,300,000 |
|
Africa |
|
|
40,950,000 |
|
|
|
Total |
1,200,000,000 |
Table 3: Risk Profile by Sum Insured [All policies in force on 31 December 2020]
|
Sum Insured in US$ 000 |
Number of Risks |
Premium in US$ million |
|
0 – 10,000 |
1,300 |
250 |
|
10,000-20,000 |
1040 |
200 |
|
20,000 – 30,000 |
850 |
120 |
|
30,000 – 40,000 |
300 |
130 |
|
40,000 – 50,000 |
210 |
110 |
|
50,000 – 60,000 |
150 |
150 |
|
60,000 – 70,000 |
100 |
145 |
|
70,000 – 80,000 |
72 |
100 |
|
80,000 – 90,000 |
50 |
90 |
|
0ver 90,000 |
120 |
165 |
|
Total |
4,192 |
1460 |
Catastrophe Excess of Loss Treaty Summary
|
SLIP DETAILS |
|
|
CEDING COMPANY |
Limestreet Insurance Company Ltd |
|
AGREEMENT FORMAT |
This agreement between the ceding company and the reinsurer consist of two parts being the specific conditions specified in the treaty summary including any appendix, and the General Terms and conditions specified in the attached document. |
|
PERIOD |
12 months commencing 1 July 2021. Losses occurring irrespective of attachment dates of original policies. |
|
TYPE |
Catastrophe Excess of Loss Cover |
|
CLASS |
1) The reinsured’s net retained account of direct insurance and facultative reinsurances in respect of a) Home and overseas business written in overseas fire department b) Its participation in the business of international oil insurers written in its fire department 2) Fire and allied perils written in the home personal department in respect of the reinsurer’s householders comprehensive and private house policies including small craft and caravans |
|
TERRITORY |
Worldwide, excluding risks situated in the USA |
|
EXCLUSIONS |
Note: As a part of your answer you are required to advise on the exclusions to include and create the schedule |
|
LIMIT AND DEDUCTIBLES |
1st Layer To pay US$50,000,000 Ultimate Net Loss each and every loss occurrence IN EXCESS OF US$100,000,000 Ultimate Net Loss each and every loss occurrence |
|
|
2nd Layer To pay US$50,000,000 Ultimate Net Loss each and every loss occurrence IN EXCESS OF US$150,000,000 Ultimate Net Loss each and every loss occurrence |
|
GROWTH OF LINE LIMITS |
Note: Line limits has gone up at equal intervals 50% in the past five years
|
|
WARRANTY |
Two Risk warranty. |
|
REINSTATEMENT |
Applicable to both layers. One full reinstatement at 100% additional premium as to time, pro-rata as to amount reinstated only. |
|
PREMIUM |
RATES 1st layer – Adjustable Rate: 2.25% of GNPI 2nd Layer Adjustable Rate: 1.10% of GNPI
DEPOSIT PREMIUMS Minimum and deposit premium ( please calculate ), payable in half yearly in advance.
PREMIUM ADJUSTMENT BASIS Both layers: Average net retained aggregate sums insured for earthquake, windstorm for the 12 months period commencing July 1, 2020. |
|
DEDUCTIONS |
Brokerage 10% (0% on reinstatement) Note: This brokerage rate is for general guideline only. However, it is expected that students should use the brokerage rate based on market reality and circumstances. |
|
GENERAL CONDITIONS |
Not supplied [students need to decide] Note: It is expected that the students should advise on the general conditions on the basis of market reality and circumstances |
|
Table 4: Big Losses - Home and Foreign Account |
|
Note: Although Tables 1, 2, 3 and 5 are same for all students, Table 4 is different and allocated separately to each individual student. You are required to use the allocated data in your analysis.
Table 5: Inflation rates
|
2010 |
2011 |
2012 |
2013 |
2014 |
2015 |
2016 |
2017 |
2018 |
2019 |
2020 |
|
2.6% |
1.9% |
3% |
1.5% |
3.2% |
2.5% |
2.2% |
2.6% |
3.2% |
4.25% |
4.5% |
Average Future Annual Inflation is 3.5%.
Table 6: Loss Development Factors
|
Year |
1 to 2 |
2 to 3 |
3 to 4 |
4 to 5 |
5 to 6 |
6 to 7 |
7 to 8 |
8 to 9 |
9 to 10 |
|
Loss Development Factor |
1.9 |
1.5 |
1.3 |
1.25 |
1.15 |
1.1 |
1.08 |
1.02 |
1.01 |
Note that the Discount Rate is 5%, Ultimate Development of the Loss for the next five years is 1.24 (10 to ultimate).
REQUIRED:
In considering the above information, you are required to produce an analytical report that helps your manager to (a) underwrite, (b) price and (c) redesign the reinsurance programme to make the treaties more effective to manage Limestreet’s risk exposures.
In the report you should address the following issues:
a) An analysis (pricing of the layers to the per risk excess of loss - determine an adjustable Minimum Deposit Premium and Catastrophe excess of loss) and assessment of the appropriateness and acceptability of the terms of this business proposition. (Assume the average delay in claim settlement for the liability claims is about three years).
b) Given that the nature of the per risk excess of loss book has no territorial limit, suggest and justify the rationale behind the contractual conditions that you would like to put in place to make this business less risky and acceptable.
c) Given that the chance of exhausting the catastrophe cover is high:
i. Evaluation and price an alternative top and drop cover for catastrophe losses up to a coverage amount of US$50,000,000 (size of the top and drop layer);
ii. Explore how you can use a collateralised insurance linked security in one of the territories to bridge the gap for the spill over layer that will give catastrophe cover of up to a limit of US$500 million.
d) An assessment of how implementing a 40% quota share with a limit US$100 million instead of the per risk excess of loss, alongside the catastrophe excess of loss structure similar to the one above will impact on the price and terms of the Catastrophe excess of loss treaty. (Assume that there is a per event accumulation limit of US$60 million on the Quota Share and that all the losses are incurred at 100%).
e) Also discuss how you can control the impact of inflation on the treaty pricing arising from liability claims.
f) Given the nature of the book, critically evaluate why it might be beneficial to arrange the excess of loss treaties by region or introduce a buffer excess of loss for certain problematic perils. In your answer provide historical statistical evidence on the main drivers of regional claims.
g) The Fukushima employers’ liability loss which has been outstanding since 2010 and was revised upwards from an initial claim of US$25 million. Using the loss development factors above evaluate and alternative risk financing instrument you would use to transfer the risk and determine the price which your company would pay for the transferred portfolio.
PLAGIARISM: Please refer to the University Guidelines on plagiarism. You are advised to consider this issue very seriously.
WORD COUNT: 3,000 (+/- 10%). This excludes references and appendices.
GLOSSARY OF KEY WORDS
Analyse
Find the relevant facts and examine these in depth. Examine the relationship between various facts and make conclusions or recommendations.
Asses
To judge or decide the amount, value, quality, or importance of something
Construct
To build or make something; construct a table.
Critically analyse
The analysis of information by comparing and contrasting their strength and weakness through arguments and counterarguments.
Describe
Give an account in words (someone or something) including all relevant characteristics, qualities or events.
Devise
To plan or create a method, procedure or system.
Discuss
To consider something in detail; examining the different ideas and opinions about something, for example to weigh up alternative views.
Explain
To make something clear and easy to understand with reasoning and/or justification.
Identify
Recognise and name.
Justify
Support an argument or conclusion. Prove or show grounds for a decision.
Outline
Give a general description briefly showing the essential features.
Recommend with reasons
Provide reasons in favour.
State
Express main points in brief, clear form.
University of Liverpool
1
1
1
ASSESSMENT CRITERIA
|
|
CRITERION |
70% & More |
60-69% |
50-59% |
FAIL – 49% or Less |
|
1 |
Presentation of assignment |
Shows a polished and imaginative approach to the topic |
Carefully and logically organised |
Shows organisation and coherence |
Disorganised/ incoherent |
|
2 |
Clarity of expression including accuracy, spelling, grammar, punctuation |
Fluent writing style appropriate to document. Grammar and spelling accurate. |
Language fluent Grammar and spelling accurate |
Language mainly fluent Grammar and spelling mainly accurate |
Meaning unclear and/or grammar and/or spelling contain frequent errors |
|
3 |
Communication and presentation |
Can engage effectively in debate in a professional manner and produce detailed and coherent project reports |
Can communicate effectively and report practical procedures in a clear and concise manner with all relevant information in a variety of formats |
Can communicate effectively in a format appropriate to the discipline and report procedures in a clear and concise manner with all relevant information |
Communication is unstructured and unfocused and/or in a format inappropriate to the discipline |
|
4 |
Logical Structure |
Clear, imaginative, logical structure |
Clear, basic, logical structure |
Structure is not logical |
|
|
5 |
Presentation |
Material is imaginatively presented resulting in clarity of message and information |
Material is carefully structured with clear message and visual effect |
Material included is relevant to topic and has been structured. Visual aspect of presentation is limited |
Not all material is relevant and/or is presented in a disorganised manner |
|
6 |
Conforming with instructions (e.g. word length) |
Work has been submitted within time boundaries and within prescribed parameters |
Work has been submitted late or deviates significantly from parameters |
8
|
7 |
Attention to purpose |
Has addressed the purpose of the assignment comprehensively and imaginatively |
Has addressed the purpose of the assignment coherently and with some attempt to demonstrate imagination |
Has addressed the main purpose of the assignment |
Fails to address the task set |
|
8 |
Question understanding |
Answer comprehensively addresses the key components of the question |
Answer consistently addresses the key components of the question |
Answer does not consistently addresses the key components of the question |
|
|
9 |
Content and range |
Comprehensive/detailed knowledge of key issues |
Reasonable knowledge of key issues |
Has given a factual and/or conceptual knowledge base and appropriate terminology |
Lacks evidence of knowledge relevant to the key issues and/or significantly misuses terminology |
|
10 |
Critical reasoning |
Consistently demonstrates application of critical analysis well integrated in the text |
Clear application of theory through critical analysis/critical thought of the topic area |
Demonstrates application of theory through critical analysis of the topic area |
Lacks critical thought /analysis / reference to theory |
|
11 |
Use of literature/ evidence of reading |
Has developed and justified using own ideas based on a wide range of sources which have been thoroughly analysed, applied and discussed |
Able to critically appraise the literature and theory gained from variety of sources, developing own ideas in the process |
Literature is presented uncritically, in a purely descriptive way and indicates limitations of understanding |
Either no evidence of literature being consulted or irrelevant to the assignment set |
|
12 |
Referencing |
Referencing is consistently accurate |
Referencing is mainly accurate |
Some attempt at referencing |
Referencing is absent/ unsystematic |
END