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Stochastic Claims Reserving Methods in Insurance (The Wiley Finance Series) [Hardcover]

Mario V. Wüthrich (Author), Michael Merz (Author)
5.0 out of 5 stars  See all reviews (2 customer reviews)

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Book Description

June 11, 2008 The Wiley Finance Series (Book 436)
Claims reserving is central to the insurance industry. Insurance liabilities depend on a number of different risk factors which need to be predicted accurately. This prediction of risk factors and outstanding loss liabilities is the core for pricing insurance products, determining the profitability of an insurance company and for considering the financial strength (solvency) of the company.


Following several high-profile company insolvencies, regulatory requirements have moved towards a risk-adjusted basis which has lead to the Solvency II developments. The key focus in the new regime is that financial companies need to analyze adverse developments in their portfolios. Reserving actuaries now have to not only estimate reserves for the outstanding loss liabilities but also to quantify possible shortfalls in these reserves that may lead to potential losses. Such an analysis requires stochastic modeling of loss liability cash flows and it can only be done within a stochastic framework. Therefore stochastic loss liability modeling and quantifying prediction uncertainties has become standard under the new legal framework for the financial industry.


This book covers all the mathematical theory and practical guidance needed in order to adhere to these stochastic techniques. Starting with the basic mathematical methods, working right through to the latest developments relevant for practical applications; readers will find out how to estimate total claims reserves while at the same time predicting errors and uncertainty are quantified. Accompanying datasets demonstrate all the techniques, which are easily implemented in a spreadsheet. A practical and essential guide, this book is a must-read in the light of the new solvency requirements for the whole insurance industry

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Stochastic Claims Reserving Methods in Insurance (The Wiley Finance Series) + Non-Life Insurance Pricing with Generalized Linear Models (EAA Series) + Generalized Linear Models for Insurance Data (International Series on Actuarial Science)
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Editorial Reviews

From the Inside Flap

It is astonishing that the methods used for claims reserving in non life-insurance are, even still today, driven by a deterministic understanding of one or several computational algorithms. Stochastic Claims Reserving Methods in Insurance is tremendously widening this traditional understanding. In this text reserving is model driven, computational algorithms become a consequence of the chosen model. Only with this approach it makes sense to ask how predicted reserves might vary. Stochastic reserving is hence the corner stone of successful risk management for the technical result of an insurance company. Mario Wüthrich and Michael Merz have to be congratulated for opening the eyes of the non-life-actuary to a new and modern dimension.

—Hans Bühlmann, Swiss Federal Institute of Technology, Zurich

Assessing the best estimate of insurance liabilities and modelling their adverse developments are among the new frontiers of insurance under the new IAS and the proposed new solvency regimes. This book makes a leap towards these frontiers. The variegated issue of predicting outstanding loss liabilities in non-life insurance is addressed using the unified framework of theory of stochastic processes. The proposed approach provides valuable tools for tackling one of the most challenging forecasting problems in insurance.

—Franco Moriconi, Professor of Finance, University of Perugia

From the Back Cover

Claims reserving is central to the insurance industry. Insurance liabilities depend on a number of different risk factors which need to be predicted accurately. This prediction of risk factors and outstanding loss liabilities is the core for pricing insurance products, determining the profitability of an insurance company and for considering the financial strength (solvency) of the company.

Following several high-profile company insolvencies, regulatory requirements have moved towards a risk-adjusted basis which has lead to the Solvency II developments. The key focus in the new regime is that financial companies need to analyze adverse developments in their portfolios. Reserving actuaries now have to not only estimate reserves for the outstanding loss liabilities but also to quantify possible shortfalls in these reserves that may lead to potential losses. Such an analysis requires stochastic modeling of loss liability cash flows and it can only be done within a stochastic framework. Therefore stochastic loss liability modeling and quantifying prediction uncertainties has become standard under the new legal framework for the financial industry.

This book covers all the mathematical theory and practical guidance needed in order to adhere to these stochastic techniques. Starting with the basic mathematical methods, working right through to the latest developments relevant for practical applications; readers will find out how to estimate total claims reserves while at the same time predicting errors and uncertainty are quantified. Accompanying datasets demonstrate all the techniques, which are easily implemented in a spreadsheet. A practical and essential guide, this book is a must-read in the light of the new solvency requirements for the whole insurance industry


Product Details

  • Hardcover: 438 pages
  • Publisher: Wiley; 1 edition (June 11, 2008)
  • Language: English
  • ISBN-10: 0470723467
  • ISBN-13: 978-0470723463
  • Product Dimensions: 7.2 x 9.8 x 1.2 inches
  • Shipping Weight: 2 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #483,730 in Books (See Top 100 in Books)

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0 of 1 people found the following review helpful:
5.0 out of 5 stars Very good book, January 23, 2011
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This review is from: Stochastic Claims Reserving Methods in Insurance (The Wiley Finance Series) (Hardcover)
This book is complete and accurate. It covers all non-life claim reserving methods and ultimate uncertainty estimation.

it belongs on every non life reserving actuary's bookshelf.
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0 of 13 people found the following review helpful:
5.0 out of 5 stars Tim's gift, July 20, 2008
This review is from: Stochastic Claims Reserving Methods in Insurance (The Wiley Finance Series) (Hardcover)
My son is an actuary, and he selected this book as a birthday gift. He was very happy to receive it and read the first chapter right away before continuing on with his other gifts.
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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
generalized linear models, distributional models, bootstrap methods, statistical diagnostics, reserves process, claims reserving methods, different accident years, conditional estimation error, single accident years, claims development pattern, individual development factors, fixed volume measure, incremental claims, individual subportfolios, credibility mixture, cumulative claims, resampled estimates, conditional prediction error, parameter prediction error, different subportfolios, unbiased linear combinations, expected squared loss, variational coefficient, exponential dispersion family, credibility estimators
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Stochastic Claims Reserving Methods, Model Assumptions, Bayesian Models, Chain-Ladder Models, Multivariate Reserving Methods, Time Series Model, Chain-Ladder Methods, Selected Topics, Insurance Table, Comment Table, Individual Claims Development Processes, Basic Methods, Markov Chain Monte Carlo, Insurance Example, Using Lemma, Insurance Remarks, Remark Observe, Portfolio Var, Bootstrap Figure, Swiss Solvency Test, General Assumption, Paid Incurred, Insurance Hence, Process Estimation, Conditional Version
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Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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