Optimal Budget Rules: Making Government Spending Sustainable Through Present-Value Balance

27 Pages Posted: 25 Oct 2006

See all articles by Michael U. Dothan

Michael U. Dothan

Willamette University - Atkinson Graduate School of Management

Fred Thompson

Willamette University - Atkinson Graduate School of Management

Date Written: December 22, 2006

Abstract

This article uses simple and self-contained optimal control theory and martingale methods to find optimal government expenditure consistent with present value balance and, implicitly sustainable saving, borrowing, and tax levels as well, since long-term sustainable paths are, in principle, not different from optimal paths. Our approach identifies time-consistent budget rules, where most other efforts to do so have not, because it makes the reasonable assumption that the stochastic nature of revenues is more or less given, and ignores the relationship between the level and kind of taxes employed and revenue growth. Further allowing governments to invest in risky as well as risk-free financial assets, we derive explicit formulas for optimal expenditure and the parameters of their future stochastic evolution, expected surpluses and deficits and their dependence on model parameters, and the probability of sustained long-term spending growth and its dependence on the initial size of the reserve account.

Keywords: government expenditure, government investment, rainy day funds, sustainable debt levels, revenue volatility

JEL Classification: H71, H72, F34

Suggested Citation

Dothan, Michael U. and Thompson, Fred, Optimal Budget Rules: Making Government Spending Sustainable Through Present-Value Balance (December 22, 2006). Available at SSRN: https://ssrn.com/abstract=939815 or http://dx.doi.org/10.2139/ssrn.939815

Michael U. Dothan

Willamette University - Atkinson Graduate School of Management ( email )

900 State Street
Salem, OR 97301
United States
(503) 370-6440 (Phone)

Fred Thompson (Contact Author)

Willamette University - Atkinson Graduate School of Management ( email )

900 State Street
Salem, OR 97301
United States
503-370-6228 (Phone)
503-370-3011 (Fax)

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