Douglas R. Mudd

English

Research Papers in Economics

Do Rising U.S. Interest
Rates Imply A Stronger Dollar?
DOUGLAS R. MUDD
litECENT U~S. monetary actions have been viewed,
in part, as a reaction to the rapid depreciation of the
U.S. dollar on foreign exchange markets over much
of last year. Typical of this view is the statement:
“The U.S. Federal Reserve ... confirmed its determi-
nation to push U.S. money market interest rates
higher to support the dollar.”1 This view interprets
rising U.S. interest rates as both an incentive for
investors to purchase U.S. financial assets instead of
foreign securities and a deterrent to US, residents’
spending on goods and services, including imports.
Such an interpretation may be consistent with
short-run analysis. Over an extended period of time,
however, rising U.S. interest rates are not necessarily
accompanied by a rising foreign exchange value of
the dollar. Moreover, this short-run view of the rela-
tionship between changes in US. interest rates and
movements in the foreign exchange value of the dol-
lar is not supported by a casual examination of recent
data, For example, both long- and short-term U.S. in-
terest rates rose, on average, relative to foreign interest
rates from late 1977 to late 1978. In addition, U.S. in-
terest rates generally were higher than foreign interest
1Stewart Fleming and Peter Riddell, “Fed Confirms Aim to
Raise interest Rates in Aid of $,“ Financial Times, July 24
1979. Also see Robert A. Bennett, “Fed Raises Rates to Aid
Dollar,” New York Times, July 21, 1919,
rates during this period. Yet, the weighted-average
foreign exchange value of the dollar declined 17 per-
cent between September 1977 and October 1978 (see
Chart J)2
This article examines the relationship between
changes in the U.S,-foreign interest rate differential
and movements in the foreign exchange value of the
dollar, The analysis is consistent with recent events
and emphasizes the role of monetary disturbances
in determining movements in both exchange rates and
interest rates.
Changes in Money Stock Growth
and Interest Rate Movements
The nation’s money stock grows primarily through
Federal Reserve purchases of government securities,
To induce holders of securities to sell, the Federal
Reserve offers them more than the currently prevail-
ing market price for their securities. As a result, the
price of government securities rises and the interest
‘2The countries included in the weighted-average foreign in-
terest rate and exchange rate series are Belgium, Canada,
France, Germany, Italy, Japan, the Netherlands, Sweden,
S’.vitzerland, and the United Kingdom. The weights and
forsnula used in constructing these series are from ‘Index of
the Wei~hted-AverageExchange Value of the U.S. Dotlan:
Revision,’ Federal Reserve Bulletin (August 1978), p. 700.
Page 9Chart I
Foreign Exchange Value of the
U.S. Dollar and Interest Rate Differentials
Ratio Scale
March 1973100 Weighted Average Foreign Currency Value of the Dollar
110
105
100
95
90
85
80
Pa
5
4
3
2
0
•1
-2
-3
.4
Ratio Scale
March 1973100
110
~5c
r~
4
2
0
—1
-2
-3
-4
Sources: Federal Reserve Statistical Release H.13; Federal Reserve Bulletin International Monetary
Fund, International Financial Statistics.
Li Secondary market rates for 90-day large certificates of deposit in the United States less the
weighted average of foreign three-month money market rates.
~ U.S. long-term government bond yields less the weighted average of foreign long-term
government bond yields.
105
100
95
90
85
80
Percent
5
3
1976 1977 1978 1979
Latest data plotted: MayFEDERAL RESERVE BANK OF ST. LOUIS JUNE 1979
rate declines. Thus, an acceleration in money stock
growth is associated, at least initially, with a decline in
interest rates. Conversely, a deceleration in money
stock growth initially is accompanied by a rise in
interest rates.
An acceleration in money stock growth, however, is
unlikely to produce permanently lower interest rates.
One factor that would prodnce upward pressure on
interest rates following an accelerationin money stock
growth is an acceleration in the growth of aggregate
spending. The acceleration in spending growth could
be viewed as a direct result of the acceleration in
money stock growth or as a result of the stimulation
of consumption and investment spending by the initial
decline in interest rates. In either case, an acceleration
in spending would be accompanied by an acceleration
in the growth of the quantity of credit demanded (to
finance the accelerated pace of investment and con-
sumption spending). If the rate at which the quantity
of credit demanded grows more rapidly than the rate
at which credit is being supplied, the price of credit
(the interest rate on loans) rises.
The longer-term impact of faster money stock
growth on the rate of inflation is another factor which
would exert upward pressure on interest rates. Over
longer periods of time, a sustained acceleration in the
growth of aggregate spending will increase the rate
of inflation (given that output growth is constrained
in the long run by real factors which are unaffected
by monetary disturbances).
It is generally accepted that movements in interest
rates are, to some extent, influenced by changes in
the expected rate of inflation.3 If, for example, the
interest rate is 6 percent and the price level is con-
stant (that is, the inflation rate is zero), then the “real
interest rate” would be 6 percent. Now, suppose in-
flation is widely expected to increase from zero to
a3percent rate. Lenders would then require a9
percent return on funds loaned (to prevent the
real value of interest income and principal from fall-
ing) and borrowers would generally be willing to
accept a 9 percent interest rate.4 Thus, factors that
cause an increase in the expected rate of inflation also
3See Irving Fisher, The Theory of Interest (New York: Kelley
& Milirnan, Inc., 1954), pp. 38-44.
~This example is oversimplified in several respects. However,
the basic point that an increased value of the expected rate
of inflation raises nominal interest rates remains valid. For a
concise theoretical discussion, see Robert Mundell, “Inflation
and Real Interest,” Journal of Political Economy (June 1983),
pp. 280-83.
produce upward pressure on interest rates. One such
factor is a sustained acceleration in money stock
growth.
Within the context of this discussion, an accelera-
tion in money stock growth initially will be associ-
ated with a decline in interest rates, If, in the long-
run, however, the real interest rate is unaffected by
monetary disturbances and the acceleration of money
stock growth is sustained, interest rates ultimately
will rise.3 In other words, changes in money stock
growth initially are related inversely to changes in in-
terest rates, but, in the long-mn, money stock growth,
the inflation rate, and interest rates all move in the
same direction.
Changes in Money Stock Growth
and Exchange Rate Movements
When a currency is traded in foreign exchange
markets, the exchange rates which evolve are the
prices of that currency in terms of each of the
other currencies traded. Thus, relative changes in
the total amounts of these national moneys supplied
and demanded will determine exchange rate move-
ments. Only if the amounts of all national moneys de-
manded increase at the same rate would relative
changes in money stock growth rates alone determine
exchange rate movements.
For example, suppose that growth in both the U.S.
and German money stocks equal the rates at which
the amounts of these national moneys demanded
increase. Assume that interest rates in both countries
are equal and that neither central government inter-
venes in the foreign exchange market. ?ow let U.S.
money stock growth accelerate, As previously dis-
cussed, this acceleration, at first, will be accom-
panied by a decline in U.S. interest rates. Initially,
given interest rates in Germany, U.S. capital outflows
will be encouraged (that is, the rate at which U.S.
residents invest in German securities will rise)
and German capital outflows would be discour-
aged (the rate at which German residents invest
in U.S. securities will fall). This results in an
increase in the amount of dollars supplied in the
foreign exchange market (by U.S. residents wishing
5
P’or a snore technical theoretical discussion of this relationship,
see Milton Friedman, “Factors Affecting the Level of Interest
Rates,” in John T. Boorman and Thomas M. Havrilesky,
Money Supply, Money Demand, and Macroeconomic Models
(Northbrook, ill.: AHM Publishing Corporation, 1972), pp.
200-18. For empirical support of this view, see William E.
Gibson, “Interest Rates and Monetary Policy,” Journal of
Political Economy (May/June 1970), pp. 431-55.
Page 11FEDERAL RESERVE BANK OF ST. LOUIS
to purchase marks to invest in German securities)
relative to the amount of dollars demanded (by Ger-
man residents desiring dollars to spend in the United
States). Therefore, the U.S. dollar price of one Ger.
man mark will be subject to upward pressure —
the dollar will fall in value on the foreign exchange
market,
The stimulative effect of the U.S. monetary expan-
sion on the growth of U.S. income and spending will
also contribute to this downward pressure on the value
of the dollar. In other words, the rate at which U.S.
residents purchase both domestic and German goods
and services will rise. This acceleration in U.S. im-
port growth will also contribute to the acceleration in
the rate at which dollars are supplied on foreign
exchange markets.6
If the faster pace of U.S. money stock growth con-
tinues, the U.S. inflation rate will eventually rise.
Thus, the faster U.S. money stock growth will tend to
increase the expected future rate of U.S. inflation.
This, in turn, will cause U.S. interest rates to rise
relative to German interest rates. The increase in the
U.S,-German interest rate differential, however, will
not necessarlig produce capital flows from Germany
into the United States. Instead, the foreign exchange
value of the dollar might depreciate at the same time
that U.S. interest rates are higher than, and rise rela-
tive to, German interest rates.
Interest Rate Differentials and
Exchange Rate Movements
The preceding analysis indicates that U.S. interest
rates could be both higher than, and rise relative
to, foreign interest rates without providing an in-
centive for foreign investors to increase their pur-
chases of U.S. securities (or U.S. investors to de-
crease their purchases of foreign securities). The
reason for this is that the difference between
U.S. and foreign interest rates is, in fact, not the rele-
vant factor in inducing capital flows. Rather, the in-
terest rate differential adjusted for expected future
exchange rates is the relevant factor inducing inter-
national capital flows.
Exchange rate expectations, interest rate differen-
tials, and exchange rates will, in the absence of
OThe acceleration in U.S. import growth would accelerate in-
come growth in the German export sector. However, from a
monetarist viewpoint, German aggregate income growth
would remain constant since German money stcck growth is
constant. This implies a deceleration in income growth in
other sectors of the German economy.
Page 12
JUNE 1979
controls on international capital flows, be related ac-
cording to the equilibrium condition,
(1) (1 + r,,.~)=2—. (1 + rr) x’,
where,
= the U.S. interest rate
r~ = the foreign interest rate
x = the spot (currently prevailing) U.S. dollar/foreign
currency exchange rate
x’=the expected future value of the U.S. dollar/foreign
currency exchangerate.
Consider the following example. Suppose the spot
U.S. dollar/German mark exchange rate is $.33/DM
and that the value of the dollar in terms of the mark is
expected to decline to $.36/DM during the next
year (an expected depreciation of 9 percent).
Suppose the interest rate on one-year German
Treasury bills was 5 percent, so that $1.00 could
be used to purchase 3.03 marks which would yield
3.18 marks (DM3.03 . (1 ± .05)) after one year.
When the marks are converted back to dollars,
U.S. investors expect to receive $1.14 (DM3.18
($.36/DM)). If U.S. investors could earn $1.14 on
a $1.00 investment in U.S. Treasury bills, the U.S.
interest rate would be 14 percent and no capital
flows would occur. Thus, in equilibrium, the differen-
tial between U.S. and foreign interest rates equals the
expected dollar-denominated return on investments in
foreign securities.7 This can be expressed
(2) r~,-r~ = (!~~_1)(1+rr),
where (1--- 1) is the expected change in the foreign
exchange value of the dollar.
If U.S. interest rates rise relative to foreign
interest rates and equation (2) holds, the foreign ex-
change value of the dollar could decline (that
is, x could rise), but the expected future foreign ex-
change value of the dollar could decline even faster
(xe could rise faster). In other words, for given levels
of foreign interest rates, a rising U.S. interest rate
could be offset by progressively larger declines in the
expected foreign exchange value of the dollar.
~Although this relationship does not hold exactly, the differ-
ences between the interest rate differential and the forward
premium or discount (the expected change in the exchange
rate) may reflect the existence of transactions costs and polit-
ical risk (for example, the likelihood that a country will im-
pose exchange controls). See Jacob A. Frenkel and Richard
M. Levich, “Covered Interest Arbitrage: Unexploited Profits?”
Journal of Political Economy (April 1975), pp. 325-38 and
Robert Z. Aliber, “The Interest Rate Parity Theorem: A
Reinterpretation,” Journal of Political Economy (November/
December 1973), pp. 1451-59.FEDERAL RESERVE BANKOF ST LOUIS JUNE 1979
One explanation for the occurrence of this situa-
tion is that monetary disturbances dominate both
changes in interest rates and exchange rates. As previ-
ously discussed, a sustained accelerationin U.S. money
stock growth will ultimately result in an increase in
the expected rate of inflation. This, in turn, produces
an increase in U.S. interest rates. Given the expected
foreign rate of inflation, the differential between
U.S. and foreign interest rates will be rising. Simul-
taneously, the faster rate of U.S. spending growth
would produce a declining foreign exchange value of
the dollar. In addition, if U.S. money stock growth
and inflation are expected to continue at the faster
pace, the expected future value of the dollar on
foreign exchange markets will tend to decline
faster.8
Summary
The assertion that rising U.S. interest rates (rela-
tive to foreign rates) produce an increase in the
foreign exchange value of the dollar has not been
supported by recent experience. If monetary dis-
turbances are important determinants of changes in
both interest rates and exchange rates, a widen-
ing positive differential between U.S. and foreign
interest rates and a declining foreign exchange value
of the dollar are consistent developments. If the ex-
pected rate of U.S. inflation increases because of a
sustained acceleration in U.S. money stock growth
8These results have been derived by assuming that current
accelerations in U.S. money stock growth and inflation are
important variables in the formulation of increases in the
expected rate of inflation which, in tum, is important in de-
termining changes in the expected foreign exchange value
of the dollar.
(while foreign expected rates of inflation remain rela-
tively stable), U.S. interest rates will rise relative to
foreign interest rates. The faster pace of U.S. money
stock growth also will produce an increase in U.S.
spending growth, which, in turn, will result in a de-
preciating foreign exchange value of the dollar. If the
higher expected rate of U.S. inflation also results in an
offsetting decline in the expected value of the dollar
on foreign exchange markets, no capital inflow will be
induced by the rising differential between U.S. and
foreign interest rates.
Conversely, a sharp deceleration in U.S. money
stock growth (not matched by equally restrictive for-
eign monetary developments) will produce an ap-
predation of the dollar. In this case, initially U.S.
interest rates will rise relative to foreign rates and
U.S. spending growth will slow. As a result, the
supply of dollars on foreign exchange markets will
fall (as U.S. residents reduce spending for foreign
goods, services, and securities) relative to the demand
for dollars (as foreign investors increase purchases
of U.S. securities in response to the higher U.S. inter-
est rate). However, if the slower U.S. money stock
growth is sustained and the expected rate of U.S.
inflation is revised downward, U.S. interest rates will
decline relative to foreign rates. Further, if the re-
strictive U.S. monetary actions also produce large
upward revisions in the expected future value of the
dollar, no capital outflow will result from the declin-
ing U.S.-foreign interest rate differential. In this case,
an appreciation of the dollar on foreign exchange
markets will initially be associated with a rising
U.S.-foreign interest rate differential. Eventually, how-
ever, the interest rate differential will decline while
the dollar continues to appreciate.
Page 13

Do rising U.S. interest rates imply a stronger dollar?

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Do rising U.S. interest rates imply a stronger dollar?

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