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Correspondence between lifetime minimum wealth and utility of consumption
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The generous support for this work is most gratefully acknowledged. The author is also much indebted to his colleagues Professors Bishop, Christenson, Kahr, Raiffa, and (especially) Schlaifer, for extensive discussion and commentary on an earlier draft of this paper; but responsibility for any errors or imperfections remains strictly his own.[Professor Sharpe's paper, “Capital Asset Prices: A Theory of Market Equilibrium Under Conditions of Risk” (Journal of Finance, September 1964) appeared after this paper was in final form and on its way to the printers. My first section, which parallels the first half of his paper (with corresponding conclusions), sets the algebraic framework for sections II, III and VI, (which have no counterpart in his paper) and for section IV on the equilibrium prices of risk assets, concerning which our results differ significantly for reasons which will be explored elsewhere. Sharpe does not take up the capital budgeting problem developed in section V below.] (1975)The arbitrage theory of capital asset pricing (1976)
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References

  • 1964Risk Aversion in the Small and in the Large4,964 cited
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  • 2005Controlled Markov Processes and Viscosity Solutions2,698 cited
  • 1998Methods of Mathematical Finance1,939 cited
  • 1994Controlled markov processes and viscosity solutions1,024 cited
  • 1995Optimal Investment Policies for a Firm With a Random Risk Process: Exponential Utility and Minimizing the Probability of Ruin607 cited
  • 2000Optimal investment for insurers305 cited
  • 2001Optimal Proportional Reinsurance Policies in a Dynamic Setting271 cited
  • 1999Beating a moving target: Optimal portfolio strategies for outperforming a stochastic benchmark198 cited
  • 1997Survival and Growth with a Liability: Optimal Portfolio Strategies in Continuous Time156 cited
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  • 2000Self-Annuitization and Ruin in Retirement116 cited
  • 1991An Optimal Investment/Consumption Model with Borrowing112 cited
  • 2006ASSET ALLOCATION AND ANNUITY‐PURCHASE STRATEGIES TO MINIMIZE THE PROBABILITY OF FINANCIAL RUIN

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97 cited
  • 1997Asset Allocation Via The Conditional First Exit Time or How To Avoid Outliving Your Money74 cited
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    • 2011Proving regularity of the minimal probability of ruin via a game of stopping and control38 cited
    • 2006Optimal and Simple, Nearly Optimal Rules for Minimizing the Probability Of Financial Ruin in Retirement32 cited
    • 2008Optimal investment strategy to minimize occupation time31 cited
    • 2016Minimizing the probability of lifetime drawdown under constant consumption28 cited