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arxiv: 0806.2358 · v1 · submitted 2008-06-14 · 💱 q-fin.RM · math.OC

Minimizing the Probability of Ruin when Consumption is Ratcheted

classification 💱 q-fin.RM math.OC
keywords consumptionagentprobabilityratchetedrateruinadvisersassume
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We assume that an agent's rate of consumption is {\it ratcheted}; that is, it forms a non-decreasing process. Given the rate of consumption, we act as financial advisers and find the optimal investment strategy for the agent who wishes to minimize his probability of ruin.

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