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The LM curve shows the combinations of interest rates and levels of real income for which the money market is in equilibrium. It shows where money demand equals money supply. For the LM curve, the independent variable is income and the dependent variable is the interest rate.
The exchange rate changes enough to shift the IS curve to the location where it crosses the new BoP curve at its intersection with the unchanged LM curve; now the domestic interest rate equals the new level of the global interest rate. A decrease in the global interest rate causes the reverse to occur.
For example, in the IS-LM graph shown here, the IS curve shows the amount of the dependent variable spending (Y) as a function of the independent variable the interest rate (i), while the LM curve shows the value of the dependent variable, the interest rate, that equilibrates the money market as a function of the independent variable income ...
For a given money supply the locus of income-interest rate pairs at which money demand equals money supply is known as the LM curve. The magnitude of the volatility of money demand has crucial implications for the optimal way in which a central bank should carry out monetary policy and its choice of a nominal anchor .
If the LM curve is vertical, then an increase in government spending has no effect on the equilibrium income and only increases the interest rates. If the demand for money is not related to the interest rate, as the vertical LM curve implies, then there is a unique level of income at which the money market is in equilibrium.
In the same way we can write the equation of equilibrium between liquidity preference and the money supply as L(Y ,r ) = M̂ and draw a second curve – the LM curve – connecting points that satisfy it. The equilibrium values Ŷ of total income and r̂ of interest rate are then given by the point of intersection of the two curves.
The LM curve depicts the equilibrium in the money market and uses output as an exogenous variable, while the IS curve portrays equilibrium in the goods market using the interest rate as an exogenous variable. Output and interest rate are determined by the junction of the IS and LM. [13]
which creates a different set of IS-curves on the IS-LM diagram, intersecting the LM curves above the low interest rate threshold of the liquidity trap. Finally, the economy moves to the new equilibrium, at full employment.