# Fiscal Multipliers under an Interest Rate Peg of Deterministic versus Stochastic Duration

*Charles Carlstrom*,
*Timothy Fuerst* and
*Matthias Paustian*

*Journal of Money, Credit and Banking*, 2014, vol. 46, issue 6, 1293-1312

**Abstract:**
This paper revisits the size of the fiscal multiplier. The experiment is a fiscal expansion under the assumption of a pegged nominal rate of interest. We demonstrate that a quantitatively important issue is the articulation of the exit from the policy experiment. If the monetary‐fiscal expansion is stochastic with a mean duration of T periods, the fiscal multiplier can be unboundedly large. However, if the monetary‐fiscal expansion is for a fixed T periods, the multiplier is much smaller. Our explanation rests on a Jensen's inequality type argument: the deterministic multiplier is convex in duration, and the stochastic multiplier is a weighted average of the deterministic multipliers. The quantitative difference in the two multipliers also arises in a model with capital, and in the baseline nonlinear model. However, the differences between the two are less pronounced in the nonlinear models. The errors from a linear approximation are much larger for the stochastic exit model then for the deterministic exit model.

**Date:** 2014

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http://hdl.handle.net/10.1111/jmcb.12141

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**Persistent link:** https://EconPapers.repec.org/RePEc:wly:jmoncb:v:46:y:2014:i:6:p:1293-1312

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