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Exchange Rate Economics: Theories and Evidence

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182 Currency substitution <strong>and</strong> portfolio balance models<br />

S<br />

BB<br />

MM<br />

A<br />

S 0<br />

FF<br />

i 0 i<br />

0<br />

Figure 7.5 Asset market equilibrium.<br />

As the dem<strong>and</strong> for money rises,for a given supply,i (the opportunity cost of<br />

holding money) must rise to maintain money market equilibrium – hence the<br />

positive MM curve in S–i space. The BB curve has a negative slope since the<br />

increased dem<strong>and</strong> for bonds,for a given supply,raises their price <strong>and</strong> results in<br />

a lower rate of interest. The negative slope of the FF schedule may be explained<br />

by a fall in i which increases the attractiveness of foreign assets leading to a rise<br />

in S. Then BB is steeper than FF because domestic dem<strong>and</strong> for domestic bonds<br />

is more responsive than domestic dem<strong>and</strong> for foreign assets to changes in the<br />

domestic rate of interest (this follows from the assumed gross substitutability of<br />

assets).<br />

The three schedules in Figure 7.5 will shift in response to various asset disturbances.<br />

For example,an increase in the money supply will shift the MM schedule<br />

to the left since,for a given value of S,the interest rate must fall to restore portfolio<br />

balance. An increase in the supply of bonds shifts the BB schedule to the right<br />

since,for a given value of S,the interest rate on bonds must rise (price must fall)<br />

for the supply to be willingly held. An increase in the foreign asset F will result in<br />

the downward movement of FF since,for a given value of i,the maintenance of<br />

portfolio balance requires an exchange rate appreciation.<br />

Because of the wealth constraint (7.37),we know that only two of the three asset<br />

equations are independent. Thus,if a given change restores equilibrium in two<br />

markets,the third market must also be in equilibrium. In order to analyse various<br />

shocks it is therefore legitimate to concentrate on only two schedules. In what<br />

follows we concentrate either on the combination of BB <strong>and</strong> MM or on BB <strong>and</strong><br />

FF. Using the combination BB <strong>and</strong> FF we may illustrate that the portfolio system is<br />

globally stable. Consider point A in Figure 7.5,a point which is above the BB–FF

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