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The Geneva Papers 40 Years at the Cutting Edge of Research in Insurance Economics Edited by Christophe Courbage The Geneva Papers This page intentionally left blank The Geneva Papers 40 Years at the Cutting Edge of Research in Insurance Economics Edited by Christophe Courbage The Geneva Association, Switzerland Geneva School of Business Administration – University of Applied Sciences Western Switzerland Selection and editorial matter © Christophe Courbage 2016 Chapters © The International Association for the Study of Insurance Economics 2016 Chapters originally published in The Geneva Papers on Risk and Insurance – Issues and Practice by Palgrave Macmillan (various years) All rights reserved. No reproduction, copy or transmission of this publication may be made without written permission. No portion of this publication may be reproduced, copied or transmitted save with written permission or in accordance with the provisions of the Copyright, Designs and Patents Act 1988, or under the terms of any licence permitting limited copying issued by the Copyright Licensing Agency, Saffron House, 6–10 Kirby Street, London EC1N 8TS. Any person who does any unauthorized act in relation to this publication may be liable to criminal prosecution and civil claims for damages. The authors have asserted their rights to be identified as the authors of this work in accordance with the Copyright, Designs and Patents Act 1988. First published 2016 by PALGRAVE MACMILLAN Palgrave Macmillan in the UK is an imprint of Macmillan Publishers Limited, registered in England, company number 785998, of Houndmills, Basingstoke, Hampshire RG21 6XS. Palgrave Macmillan in the US is a division of St Martin’s Press LLC, 175 Fifth Avenue, New York, NY 10010. Palgrave Macmillan is the global academic imprint of the above companies and has companies and representatives throughout the world. Palgrave® and Macmillan® are registered trademarks in the United States, the United Kingdom, Europe and other countries. ISBN 978-1-349-57556-5 ISBN 978-1-137-57479-4 (eBook) DOI 10.1007/978-1-137-57479-4 This book is printed on paper suitable for recycling and made from fully managed and sustained forest sources. Logging, pulping and manufacturing processes are expected to conform to the environmental regulations of the country of origin. A catalogue record for this book is available from the British Library. A catalog record for this book is available from the Library of Congress. Typeset by MPS Limited, Chennai, India. Contents List of Figures and Tables vi 1 Introduction: The Geneva Papers, 40 Years at the Cutting Edge of Research in Insurance Economics 1 Christophe Courbage 2 Lemons or Cherries? Asymmetric Information in the German Private Long-term Care Insurance Market 5 Mark J. Browne and Tian Zhou-Richter 3 Systemic Risk in the Insurance Sector: A Review of Current Assessment Approaches 34 Andreas A. Jobst 4 Insurers’ Investment in Infrastructure: Overview and Treatment under Solvency II 74 Nadine Gatzert and Thomas Kosub 5 Unisex Insurance Pricing: Consumers’ Perception and Market Implications 102 Hato Schmeiser, Tina Störmer and Joël Wagner 6 Solvency Assessment for Insurance Groups in the United States and Europe—A Comparison of Regulatory Frameworks 139 Caroline Siegel 7 What Role for “Long-term Insurance” in Adaptation? An Analysis of the Prospects for and Pricing of Multi-year Insurance Contracts 169 Trevor Maynard and Nicola Ranger 8 Insurability in Microinsurance Markets: An Analysis of Problems and Potential Solutions 196 Christian Biener and Martin Eling 9 How Much Capital Does a Reinsurance Need? 235 Jean-Luc Besson, Michel M. Dacorogna, Paolo de Martin, Michael Kastenholz and Michael Moller Index 254 v List of Figures and Tables Figures 2.1 Unisex 14-year cumulative care incidence based on 1992 German incidence table for care 14 3.1 Macro-financial linkages of insurance activities 44 3.2 Potential overlaps between global and domestic SIFI methodologies 62 4.1 Exemplary derivation of the SCR for market risk (aggregated based on spread and interest rate risk submodules using the square-root formula) for a bond with different ratings and maturities under the Solvency II standard model (asset side only) 91 7.1 Annual premium (top) and capital requirement (bottom) as a function of the length of the policy term for a multi-year insurance contract 175 7.2 Annual premium (top) and capital requirement (bottom) as a function of the policy duration under conditions of continuous solvency (solid) and solvency at the end of the policy term (dashed) for constant α 176 7.3 Stochastic simulation to illustrate the solvency process. The simulation represents the ratio of claims to the accumulated premium plus capital (y-axis) vs. time in years (x-axis). The grey lines are individual simulations, the dashed line shows the expected values and the solid lines bound the 5th and 95th percentiles. Simulations with a y-value less than 1 can be interpreted as insolvent 177 7.A1 The simulated relationship between premium and length of policy term under different representations of the claims distribution 194 9.1 The two dimensions of capital of an insurance company: available vs. required capital 239 9.2 The internal capital requirement satisfies all stakeholders: internal RBC, Required Capital, Buffer and Target Capital (in € billons, based on figures for 2008) 240 vi List of Figures and Tables vii 9.3 SCOR actively manages its capital to optimise return Buffer Capital limits probability of a capital increase (in € billions) 241 9.4 The Buffer Capital Policy is consistent with the return target Risk/Return trade-off for different recapitalisation probabilities 242 9.5 The Buffer Capital absorbs the single worst-case scenarios Buffer Capital checked against single worst-case scenarios (examples) (in € millions, net of retro) 243 9.6 Risk loading for various CAT Programmes. (a) Using the standard deviation loading makes all these programmes lie on a straight line since they present very similar risk characteristics. Risk Rate on line: RROL = Expected Loss/ Granted Limit. (b) Diversification on risk accumulation are favoured respectively penalised in the price. As a result, the pricing mechanism implicitly optimises the portfolio 244 Tables 2.1 Summary statistics of respondents’ need for care of uninsured group, insured group and total sample (3,749 respondents) 18 2.2 Summary statistics of insurers’ risk classification criteria (3,749 respondents) 19 2.3 Summary statistics of potential sources of adverse and advantageous selection (3,749 respondents) 20 2.4 Predictive power of insurers’ risk classification criteria for ex post care need and their influence on insurance coverage 21 2.5 Sources of adverse selection and their impact on the correlation between LTC insurance ownership and actual care need 23 2.6 Sources of advantageous selection and their impact on the correlation between LTC insurance ownership and actual care need 24 2.7 Changes in correlation between LTC insurance and actual care need, estimated through five bivariate probit models 28 3.1 General systemic risk measurement approaches 38 viii List of Figures and Tables 3.2 Quantitative indicators of systemically important activity in the insurance sector—Current industry proposal (Geneva Association) and adaptation to the supervisory framework in Bermuda 46 3.3 Bermuda Class 4 and 3B (re)insurance Firms—Liquidity conditions, 2007–2011 52 3.4 Bermuda Class 4 and 3B (re)insurance firms—Level and concentration of liquidity risk, 2007–2011 54 3.5 Selected assessment methodologies for the identification of Systemically Important Financial Institutions (SIFIs)— insurance and banking 56 4.1 Sectors available as material infrastructure investments 77 4.2 Overview and classification of infrastructure investments following Solvency II (EIOPA) and selected empirical results regarding specific characteristics of infrastructure investments 78 4.3 Infrastructure investments under the Solvency II standard model 93 5.1 Descriptive statistics of survey results: Acceptance of differentiation criteria 113 5.2 Descriptive statistics of survey results: Acceptance of price differentiation 121 6.1 Summary of the group model comparison 162 7.1 Long-term guarantees implied by three life assurance products 182 7.A1 Definition of stochastic variables in the example 194 8.1 Insurability criteria and related requirements according to Berliner 199 8.2 Distribution of publications and relevance of insurability criteria 201 8.3 Strategies for insurability adaption 211 8.A1 Insurability criteria in lines of business 229 1 Introduction: The Geneva Papers, 40 Years at the Cutting Edge of Research in Insurance Economics Christophe Courbage The Geneva Association, Switzerland Geneva School of Business Administration – University of Applied Sciences Western Switzerland The Geneva Papers on Risk and Insurance is celebrating its fortieth b irthday this year. In January 1976, Raymond Barre, the first president of The Geneva Association, and Orio Giarini, its first Secretary General, founded The Geneva Papers on Risk and Insurance with the main goal of supporting and encouraging research in the economics of risk and insurance. At that time, research in the field of insurance was still embryonic. Insurance was regarded as a peripheral social activity and its economic value received very little attention. With the beginning of steady eco- nomic growth, the function of insurance gradually emerged as a key contributor to economic development. By integrating uncertainty into economic theory and benefiting from the progress of both financial economics and decision theory, research developed further in the field of insurance economics and risk management and is now prolific. We dare to believe that The Geneva Papers on Risk and Insurance contrib- uted to this evolution and that its impact on research in insurance has largely exceeded what its two founding members could have expected.1 Looking back at past issues published in The Geneva Papers on Risk and Insurance, it is really astonishing to witness the great number of scholars in the field who contributed to the journal. They include the pioneers of the discipline as well as Nobel Prizes and highly recognised and reputed scholars, and also high-level experts and executives from the insurance industry, making the journal a unique forum to stimulate constructive dialogue between the industry and its economic and social partners. One activity to celebrate this fortieth anniversary is to issue a special anniversary collection of The Geneva Papers on Risk and Insurance gather- ing articles published in the last years that echo the diversity of themes 1

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