Maximizing utility of consumption subject to a constraint on the probability of lifetime ruin
In this paper, we explicitly solve the problem of maximizing utility of consumption (until the minimum of bankruptcy and the time of death) with a constraint on the probability of lifetime ruin, which can be interpreted as a risk measure on the whole path of the wealth process.
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- Suleyman Basak & Alex Shapiro, .
"Value-at-Risk Based Risk Management: Optimal Policies and Asset Prices,"
Rodney L. White Center for Financial Research Working Papers
06-99, Wharton School Rodney L. White Center for Financial Research.
- Basak, Suleyman & Shapiro, Alexander, 2001. "Value-at-Risk-Based Risk Management: Optimal Policies and Asset Prices," Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 371-405.
- Suleyman Basak & Alex Shapiro, . "Value-at-Risk Based Risk Management: Optimal Policies and Asset Prices," Rodney L. White Center for Financial Research Working Papers 6-99, Wharton School Rodney L. White Center for Financial Research.
- Suleyman Basak & Alexander Shapiro, 1999. "Value-at-Risk Based Risk Management: Optimal Policies and Asset Prices," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-032, New York University, Leonard N. Stern School of Business-.
- Erhan Bayraktar & Virginia Young, 2011.
"Proving regularity of the minimal probability of ruin via a game of stopping and control,"
Finance and Stochastics,
Springer, vol. 15(4), pages 785-818, December.
- Erhan Bayraktar & Virginia R. Young, 2007. "Proving Regularity of the Minimal Probability of Ruin via a Game of Stopping and Control," Papers 0704.2244, arXiv.org, revised Aug 2010.
- Patrick Cheridito & Freddy Delbaen & Michael Kupper, 2005. "Coherent and convex monetary risk measures for unbounded càdlàg processes," Finance and Stochastics, Springer, vol. 9(3), pages 369-387, 07.
- Erhan Bayraktar & Virginia Young, 2007.
"Correspondence between lifetime minimum wealth and utility of consumption,"
Finance and Stochastics,
Springer, vol. 11(2), pages 213-236, April.
- Erhan Bayraktar & Virginia R. Young, 2007. "Correspondence between Lifetime Minimum Wealth and Utility of Consumption," Papers math/0703820, arXiv.org.
- Phelim Boyle & Weidong Tian, 2007. "Portfolio Management With Constraints," Mathematical Finance, Wiley Blackwell, vol. 17(3), pages 319-343.
- Bayraktar, Erhan & Young, Virginia R., 2007.
"Minimizing the probability of lifetime ruin under borrowing constraints,"
Insurance: Mathematics and Economics,
Elsevier, vol. 41(1), pages 196-221, July.
- Erhan Bayraktar & Virginia R. Young, 2007. "Minimizing the Probability of Lifetime Ruin under Borrowing Constraints," Papers math/0703850, arXiv.org.
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