Minimizing the Probability of Lifetime Ruin under Stochastic Volatility

نویسندگان

  • Erhan Bayraktar
  • Xueying Hu
  • Virginia R. Young
چکیده

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. 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.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Minimizing Probability of Ruin and a Game of Stopping and Control

Abstract: We consider three closely related problems in optimal control: (1) minimizing the probability of lifetime ruin when the rate of consumption is stochastic and when the individual can invest in a Black-Scholes financial market; (2) minimizing the probability of lifetime ruin when the rate of consumption is constant but the individual can invest in two risky correlated assets; and (3) a ...

متن کامل

Mutual Fund Theorems when Minimizing the Probability of Lifetime Ruin

The contribution of this paper is two-fold. First, we show that mutual fund theorems hold when minimizing the probability of lifetime ruin (that is, wealth reaching zero before death), as Merton (1971) does when maximizing the utility of consumption. Bayraktar and Young (2007a) determine when the investment strategies are identical under the two problems of maximizing utility of consumption or ...

متن کامل

Proving regularity of the minimal probability of ruin via a game of stopping and control

We will reveal an interesting convex duality relationship between (a) minimizing the probability of lifetime ruin when the rate of consumption is stochastic and when the individual can invest in a Black-Scholes financial market; (b) a controller-and-stopper problem: the controller controls the drift and volatility of a process in order to maximize a running reward based on that process, the sto...

متن کامل

Proving the Regularity of the Minimal Probability of Ruin via a Game of Stopping and Control Version : 15 November 2007

Abstract: We consider three closely related problems in optimal control: (1) minimizing the probability of lifetime ruin when the rate of consumption is stochastic and when the individual can invest in a Black-Scholes financial market; (2) minimizing the probability of lifetime ruin when the rate of consumption is constant but the individual can invest in two risky correlated assets; and (3) a ...

متن کامل

N ov 2 00 8 Proving the Regularity of the Minimal Probability of Ruin via a Game of Stopping and Control

Abstract: We consider three closely related problems in optimal control: (1) minimizing the probability of lifetime ruin when the rate of consumption is stochastic and when the individual can invest in a Black-Scholes financial market; (2) minimizing the probability of lifetime ruin when the rate of consumption is constant but the individual can invest in two risky correlated assets; and (3) a ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010