Of real money balances: (M=P)s = M= P. The demand for money depends negatively on the interest rate: (M=P)d = L(r). Therefore, interest rate brings the supply and the demand in to a balance If r r, individuals convert some of the excess supply of money try into interest-bearing assets; hence, the interest rates reduce 12 Ozan Eksi (TOBB-ETU). The theory assumes that the demand for real balances is proportional to the income level. Limitation: Although the Cambridge version links the demand for money to the money income, and recognizes that the other variables like rate of interest influences the value of k, it failed to incorporate it systematically in the analysis.

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The Demand For Money
Graph Supply And Demand For Real Money Balances
Money Supply Money Demand Graph

We now need to present both stock (asset market) and flow(commodity market) equilibrium on the same graph. The conventional way to do this is to put the real interest rate on the vertical axis and output (income and employment) on the horizontal one.First, we present again the equations of stock and flow equilibrium.

The downward sloping line represents the money demand function, which is 1000 – 100r. With M = 1000 and P = 2, the real money supply is 500. The real money supply is independent of the interest rate and is, therefore, represented by the vertical line. What is the equilibrium interest rate? Real balances are equal, so that the money market is in equilibrium. The general form of the LM equation is M/P = L(r, Y). Suppose income Y increases by $1. How much must the interest rate change to keep the money market in equilibrium? The increase in Y increases money demand. If money demand is extremely sensitive to the.

The conditions of asset (stock) and goods market (flow) equilibrium as presented in the previous topic are, respectively

INTEREST RATES AND DEMAND FOR MONEY 73 the estimate Anna J. Schwartz and I used in A Monetary History (.15). (4) With only one exception, every study for the United States I know of finds that variations in real income or wealth are a more important source of variations in the real quantity of money demanded than are variations.

1. M/P = γ − θ ( r + τ ) + ε Y

and

2. Y = ( a + δ + Φ_BT + DSB)/(s + m)− μ/(s + m) r + m* /(s + m) Y* − σ/(s + m) Q

where we express the domestic interest rate simply as r withoutregard to the role of world capital market conditions in determiningit---that will be incorporated later. If you are not completely familiar with the derivation and meaning of these equations you should review the previous two topics again.

The combinations of r and Y for which Equation 2holds can be presented as a negative relationship between incomeand the real interest rate as shown in Figure 1. Thedownward sloping flow-equilibrium curve---normally not a straightline as here portrayed---is called the IS curve intextbooks and we will follow that naming convention here.

The label IS comes from the fact that in a closed economy(one with no trade) the curve gives the combinations of income andthe interest rate for which desired savings equals desired investment. In an open economy this curve gives the combinations of income and the interest rate for which the desired net capital outflow, represented by savings minus investment, equals the the desired current account balance---that is, for which S − I = B_T + DSB. When there is no internationaltrade, this condition becomes simply S − I = 0 .

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A fall in the interest rate leads to an expansion of investment, causing equilibrium output, income and emloyment to increase as we movedown along the IS curve. A fall in the real exchange rate shiftsworld demand onto domestic goods, increasing income at each levelof the real interest rate and shifting IS to the right. Anincrease in rest-of-world income, or exogenous increase in consumption or investment or net exports at any given level of the real interest rate also causes the IS line to shift to the right and the equilibrium level of output, income and employment to increase.

To portray asset equilibrium in terms of the relationship it implies between the real interest rate and the level of income, it is useful to rearrange Equation 1 to put r on the left side:

1a. r = −(1/θ) M/P + γ/θ − τ + (ε/θ) Y

Since ε/θ in this equation is preceded by a positivesign, the equation defines a positive relationship between the real interest rate and level of income, holding everything else constant, and can be portrayed as the upward sloping curve LM (portrayed as a straight line) in Figure 2. (The name LM, meaning liquidity-money, is also traditional.) The LM curve gives the combinations of income and the interest rate for which the demand for money (or desired liquidity) equals the money supply and hence for which the domestic economy is in asset or stock equilibrium.

The intuition behind the positive slope of LM is as follows:An increase in the interest rate reduces the demand for money andan increase in income increases it. To keep the demand for moneyequal to a constant money supply as the interest rate rises andwe move along the LM curve, the level of income must increase.

An increase in the money supply holding the real interestrate constant requires a higher level of income to make thedemand for money equal to that greater supply, shifting LM to theright. The combinations of income and the real interest rate atwhich the demand for money equals the supply now lie farther tothe right. An increase in the expected inflation rate at a given levelof the real interest rate increases the cost of holding money and reduces the quantity people chose to hold. This requires that the level of income rise at the given world real interest rate to bring desired money holdings back into line with the unchanged money supply and preserve asset equilibrium---the LM curve shifts to the right.

Overall equilibrium will occur where the IS and LM curves cross. In aan economy that is closed to international trade, an increase in the moneysupply in Figure 2 will shift LM to the right causing the interest rateto fall as the public tries to reestablish portfolio equilibrium bypurchasing assets. The fall in the interest rate will cause output,income and employment to increase. The interest rate will fall and incomewill increase until the quantity of money demanded has increased by anamount equal to the increase in the money supply. The new equilibrium willbe at point b in Figure 2.

Full portrayal of equilibrium also requires that we add a vertical line Y_F to portray the full-employment level of incomewhich the equilibrating process will eventually achieve in the long-run.This is shown in Figure 3.

Starting with a full-employment situation where IS and LM cross, let usassume that there is a decline in desired investment so that the IS curveshifts downward to IS'. In the short run before the price level can adjustthe real interest rate will fall from r₁ to r₂ and output and income fall from their full-employment levels to Y₁ . As time passes theprice level will fall, increasing the real money stock and shifting theLM curve down to LM'. As a result, the real interest rate will fall from r₂ to r₃ and income andemployment will return to their full-employment levels.

The above analysis assumes, unrealistically, that our economy is closedto international trade and capital movements. When we incorporate theseelements an additional line has to be added to the graph---the horizontalrZ line in Figure 4.

The rZ line imposes on our small open economy the effect of world market conditions on the determination of the domestic real interest rate. Since domestic assets are owned world-wide and the domestic economy is small, the interest rate on those assets will be determined by the willingness of world residents to hold them. The domestic real inte

Demand For Real Money Balances Graph