Minimizing the Probability of Lifetime Ruin with Deferred Life Annuities

North American Actuarial Journal
Volume 13, Issue 1, 2009
Erhan Bayraktar & Virginia R. Young


We find the minimum probability of lifetime ruin of an investor who can invest in a market with a risky and a riskless asset and who can purchase a deferred life annuity. Although we let the admissible set of strategies of annuity purchasing process be the set of increasing adapted processes, we find that the individual will not buy a deferred life annuity unless she can cover all her consumption via the annuity and have enough wealth left over to sustain her until the end of the deferral period.

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