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Abstract
This paper revisits the optimal capital structure model with endogenous bankruptcy, first studied by Leland (J. Finance 49:1213–1252, 1994) and Leland and Toft (J. Finance 51:987–1019, 1996). Unlike in the standard case where shareholders continuously observe the asset value and bankruptcy is executed instantaneously without delay, the information of the asset value is assumed to be updated periodically at the jump times of an independent Poisson process. Under a spectrally negative Lévy model, we obtain the optimal bankruptcy strategy and the corresponding capital structure. A series of numerical studies provide an analysis of the sensitivity, with respect to the observation frequency, of the optimal strategies, optimal leverage and credit spreads.
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1 Wrocław University of Science and Technology, Faculty of Pure and Applied Mathematics, Wrocław, Poland (GRID:grid.7005.2) (ISNI:0000 0000 9805 3178)
2 Centro de Investigación en Matemáticas, Department of Probability and Statistics, Guanajuato, Mexico (GRID:grid.454267.6)
3 Victoria University of Wellington, School of Mathematics and Statistics, Wellington, New Zealand (GRID:grid.267827.e) (ISNI:0000 0001 2292 3111)
4 Kansai University, Department of Mathematics, Faculty of Engineering Science, Suita-shi, Japan (GRID:grid.412013.5) (ISNI:0000 0001 2185 3035)