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Document Details : Title: A Note on the Dividends-Penalty Identity and the Optimal Dividend Barrier Author(s): GERBER, Hans U. , LIN, X. , YANG, Hailiang Journal: ASTIN Bulletin Volume: 36 Issue: 2 Date: 2006 Pages: 489-503 DOI: 10.2143/AST.36.2.2017931 Abstract : For a general class of risk models, the dividends-penalty identity is derived by probabilistic reasoning. This identity is the key for understanding and determining the optimal dividend barrier, which maximizes the difference between the expected present value of all dividends until ruin and the expected discounted value of a penalty at ruin (which is typically a function of the deficit at ruin). As an illustration, the optimal barrier is calculated in two classical models, for different penalty functions and a variety of parameter values. |
