William F. Sharpe
Working Papers

(latest first)


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Lockbox Separation (June 2007)
A note showing that in a complete market any retirement financial strategy can be implemented with a series of lockboxes, each of which is designed to fund spending in a specified year. Each such lockbox will have an initial amount invested and a specified investment strategy to be followed until its maturity date.  The paper also uses a simple setting to show the relationships between investment and spending strategies in an overall retirement financial plan.

Equilibrium Simulation (Oct. 2006)

Slides from a presentation given at the Institute for Quantitative Research in Finance.


Financing Retirement: Saving, Investing, Spending and Insuring (Oct. 2006)
Based on a public lecture given at Middlebury College, Vermont. On overview of the current status of retirement financing, associated public policy issues and challenges ahead.


Expected Utility Asset Allocation (Sept. 2006, Revised June 2007)

Procedures for optimization and reverse optimization analysis in asset allocation studies. Assumes that investors wish to maximize expected utility, does not require that investors care only about the mean and variance of portfolio return and allows for general distributions of asset returns.


 Retirement Financial Planning: A State/Preference Approach (Feb. 2006)
 A formal framework for finding the most desirable retirement financial plan for an individual or family. Allows for maximization of expected utility where utility can depend on the state of the world.