Conventional discussion of the zero lower bound on nominal interest rates relies on static reasoning. According to the conventional argument, people who are holding interest-bearing assets should switch to currency the instant that the nominal interest rate falls below zero since currency has a fixed nominal rate of interest equal to zero. In this paper, I argue that the presence of uncertainty about the expected future path of the nominal interest rate and the non-negative fixed costs associated with the storage of cash require a dynamic rather than a static analysis. People who are holding an interest-bearing asset have the option, but not the obligation to switch to currency at any point in time. The economic decision is to determine at what point to exercise this option. I show that the lower bound on the nominal interest rate in this context is below zero. This is true even if storage costs are approximately zero. Since my calculation does not depend on storage costs, it implies that the effective lower bound on the nominal interest rate might be considerably lower than previously thought.
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Fed Reserve Board, Div Res & Stat, 20th St & Constitut Ave NW, Washington, DC 20551 USAFed Reserve Board, Div Res & Stat, 20th St & Constitut Ave NW, Washington, DC 20551 USA
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Bank Canada, HEC Montreal, Ottawa, ON, Canada
NBER, Cambridge, MA 02138 USABank Canada, HEC Montreal, Ottawa, ON, Canada
Cacciatore, Matteo
Duval, Romain
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Int Monetary Fund, Washington, DC 20431 USABank Canada, HEC Montreal, Ottawa, ON, Canada
Duval, Romain
Fiori, Giuseppe
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Board Governors Fed Reserve Syst, Div Int Natl Finance, Washington, DC USA
North Carolina State Univ, Dept Econ, Raleigh, NC 27695 USABank Canada, HEC Montreal, Ottawa, ON, Canada
Fiori, Giuseppe
Ghironi, Fabio
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Univ Washington, Dept Econ, Seattle, WA 98195 USABank Canada, HEC Montreal, Ottawa, ON, Canada