A SMALL OPEN ECONOMY WITH STAGGERED WAGE
SETTING AND INTERTEMPORAL OPTIMIZATION:
THE BASIC ANALYTICS
by
JOHN FENDER
University of Birmingham
and
NEIL RANKIN *
University of Warwick
We develop a model of a small open economy with optimizing, infinitely
lived agents. They have monopoly power over the price of their labour,
and wage setting is staggered. We consider the effects of an unanticipated
increase in the money supply. In all cases, the exchange rate depreciates
immediately to its long-run value with no overshooting. With unitary
elasticity of substitution in preferences between home and foreign goods,
output rises instantaneously but gradually returns to its initial value in
the long run. Trade remains balanced at all times. With an elasticity of
substitution above unity, there is a trade surplus in the short run and a
deficit in the long run, as permanently higher net foreign assets are accu-
mulated. Convergence to the steady state is faster, and thus output per-
sistence is smaller. With unitary elasticity the dynamics are the same as
in an equivalent closed economy, so, to the extent that an elasticity
greater than one is plausible for an open economy, we conclude that
openness reduces output persistence.
1 I
There seems to be an emerging consensus that any satisfactory theoretical
macroeconomic model must contain (at least) three elements: (1) intertem-
poral optimization; (2) imperfect competition; (3) nominal rigidities (see, for
example, Blanchard, 1997). We do not discuss this issue at length here, but
would merely make the following points. A strong case can be made for
assuming intertemporal optimization; it ensures that agents respect budget
constraints and allows us to analyse rigorously, for example, how future
(anticipated) events affect current economic behaviour, something often
lacking in models based on ad hoc behavioural assumptions. Nominal rigidi-
©Blackwell Publishing Ltd and The Victoria University of Manchester, 2003.
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396
The Manchester School Vol 71 No. 4 Special Issue 2003
1463–6786 396–416
*The paper was presented at seminars at the University of Oregon, USA, and at the University
of Birmingham, UK, to the Conference on Growth and Business Cycles in Theory and
Practice, University of Manchester, in June 2002 and at the Anglo-French Macroeconom-
ics Workshop at University College, Oxford, in January 2003. We would like to thank par-
ticipants, two anonymous referees and Jean-Pascal Benassy (our discussant at the Oxford
Workshop) for helpful comments.