Minimizing the Probability of Lifetime Ruin under Stochastic Volatility

Details Minimizing the Probability of Lifetime Ruin under Stochastic Volatility Minimizing the Probability of Lifetime Ruin under Stochastic Volatility

2010-03-19

arxiv.org/abs/1003.4216v2

Economy

Quantitative Finance

Portfolio Management

Keywords: Optimal investment, minimizing the probability of lifetime ruin, stochastic volatility

Scientific paper

10.1016/j.insmatheco.2011.04.001

We assume that an individual invests in a financial market with one riskless and one risky asset, with the latter's price following a diffusion with stochastic volatility. In the current financial market especially, it is important to include stochastic volatility in the risky asset's price process. Given the rate of consumption, we find the optimal investment strategy for the individual who wishes to minimize the probability of going bankrupt. To solve this minimization problem, we use techniques from stochastic optimal control.

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