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Maximizing survival, growth and goal reaching under borrowing constraints

Haluk Yener

Quantitative Finance, 2015, vol. 15, issue 12, 2053-2065

Abstract: In this paper, we consider the survival, growth and goal reaching maximization problems treated in Browne [ Math. Oper. Res. , 1997, 22 , 468-493] and solve them in a market constrained due to borrowing prohibition. To solve the problems, we first construct an auxiliary market introduced by Cvitanic and Karatzas [ Ann. Appl. Probab. , 1992, 2 , 767-818] and then apply the dynamic programming approach. Via our solutions, an alternative approach is introduced in order to solve the problems defined under an auxiliary market.

Date: 2015
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Working Paper: Maximising Survival, Growth, and Goal Reaching Under Borrowing Constraints (2012) Downloads
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DOI: 10.1080/14697688.2014.972435

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