This handbook presents the basic aspects of actuarial loss reserving. Besides the traditional methods, it also includes a description of more recent ones and a discussion of certain problems occurring in actuarial practice, like inflation, scarce data, large claims, slow loss development, the use of market statistics, the need for simulation techniques and the task of calculating best estimates and ranges of future losses. In property and casualty insurance the provisions for payment obligations from losses that have occurred but have not yet been settled usually constitute the largest item on the liabilities side of an insurer's balance sheet. For this reason, the determination and evaluation of these loss reserves is of considerable economic importance for every property and casualty insurer. Actuarial students, academics as well as practicing actuaries will benefit from this overview of the most important actuarial methods of loss reserving by developing an understanding of the underlying stochastic models and how to practically solve some problems which may occur in actuarial practice.

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Michael Radtke is a professor for risk management and insurance at Dortmund University of Applied Sciences and Arts. At the same time, he is an adviser of Willis Towers Watson for the Risk Consulting Practice in Cologne. From joining Cologne Re in 1988, he held a number of positions as a non-life actuary and consultant. In 1998, he founded the actuarial consulting firm MRS of which he was a managing director during 10 years. He holds a PhD in mathematics from the University of Siegen.Klaus D. Schmidt is a professor for actuarial mathematics at Dresden University of Technology. He graduated in mathematics at the University of Zurich and holds a PhD from the University of Mannheim. His research focuses on probability theory and statistics and their applications in non-life actuarial mathematics. He is engaged in the professional education programs of the German and Austrian Actuarial Associations and has been a visiting professor at the Universities of Salzburg and Strasbourg.