Optimal consumption and investment with bounded downside risk measures for logarithmic utility functions (1002.2486v1)

Published 12 Feb 2010 in q-fin.PM, math.PR, and q-fin.RM

Abstract: We investigate optimal consumption problems for a Black-Scholes market under uniform restrictions on Value-at-Risk and Expected Shortfall for logarithmic utility functions. We find the solutions in terms of a dynamic strategy in explicit form, which can be compared and interpreted. This paper continues our previous work, where we solved similar problems for power utility functions.

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