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Currency
Markets
Magic Numbers?
At a lunchtime meeting on 23 April, Paul De Grauwe presented
the results of recent research on psychological barriers in currency
markets. De Grauwe is Professor of Economics at the Katholieke
Universiteit Leuven and a Research Fellow in CEPR's International
Macroeconomics programme. His remarks were based on his CEPR Discussion
Paper No. 621, `Psychological Barriers in the Foreign Exchange Market',
written jointly with Danny Decupere. The views expressed by Professor De
Grauwe were his own, however, and not those of CEPR, which takes no
institutional policy positions.
De Grauwe noted how the financial press routinely describes the
movements of major currencies' exchange rates in terms of `resistance
levels' or `psychological barriers'. Exchange rates are often said to
resist movement towards some rounded number such as 150 yen or 2
Deutschmarks to the dollar; but once these levels are transgressed, the
exchange rate movements are held to accelerate. Certain values of
exchange rates (mainly rounded numbers) therefore appear to have an
important influence on the dynamics of the market. Academic economists
have generally dismissed such ideas, which run counter to rationality
and market efficiency. Whether an exchange rate ends with a zero or any
other number should be irrelevant: otherwise, multiplying the exchange
rates of an individual currency by an arbitrary constant, which makes a
previously rounded number unrounded but leaves the relative prices of
all other currencies unchanged, will affect the structure of demand for
these currencies. This irrelevance should be even stronger in currency
markets than in stock markets, because any exchange rate can also be
represented by its inverse.
De Grauwe noted that psychological barriers have recently been found in
the movements of stock market indices for a number of major countries
and described his similar analysis for foreign exchange markets. He
classified daily quotations of the dollar/DM and dollar/yen exchange
rates and their inverses during 1980-90 into 100 classes according to
their last two digits and tested for the presence of `unit' and
`decimal' psychological barriers 1.00, 2.00, 3.00 ... and 1.100, 1.200,
1.300 ... respectively on the basis that significantly fewer daily
closing prices will be observed in the neighbourhood of any such
psychological barriers than elsewhere.
His results indicated that psychological barriers do exist and are
significant in the dollar/yen market. This resists movements towards
exchange rates of 130, 140, ... yen per dollar, etc., although they
accelerate away from such barriers once crossed. In contrast, inverted
quotations (say 0.5 US cents per yen) exert no such psychological
effects. The evidence in the dollar/DM market is less clear-cut. There
is some weak evidence that the DM 2 and DM 3 per dollar barriers exert
such psychological effects; but numbers such as DM 1.4, 1.5, 1.6 ... do
not; while none of the inverted quotations appear to have any
psychological impact. De Grauwe also reported the results of later work
indicating that such psychological barriers exist in the sterling-dollar
market and elsewhere, but only in currency markets that involve the
dollar.
De Grauwe concluded that these results cast doubt on the efficiency of
foreign exchange markets, since irrelevant information appears to
influence agents' willingness to buy and sell foreign currencies and
agents apparently prefer one method of quoting exchange rates over its
inverse. Defenders of the efficient market hypothesis may claim that
psychological barriers do not prove the existence of exploitable profit
opportunities, so the existence of psychological barriers need not
contradict market efficiency. Transactions costs in foreign exchange
markets are now so low, however, that the profitable exploitation of
such psychological barriers should be possible. The continued existence
of such barriers indicates that profit taking by rational agents is a
weak force in the market.
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