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In monetary economics, the equation of exchange is the relation: = where, for a given period, is the total money supply in circulation on average in an economy. is the velocity of money, that is the average frequency with which a unit of money is spent.
Mathematically, the LM curve is defined by the equation / = (,), where the supply of money is represented as the real amount M/P (as opposed to the nominal amount M), with P representing the price level, and L being the real demand for money, which is some function of the interest rate and the level of real income.
The theory is often stated in terms of the equation M V = P Y, where M is the money supply, V is the velocity of money, and P Y is the nominal value of output or nominal GDP (P itself being a price index and Y the amount of real output). This equation is known as the quantity equation or the equation of exchange and is itself uncontroversial ...
In macroeconomics, money supply (or money stock) refers to the total volume of money held by the public at a particular point in time. There are several ways to define "money", but standard measures usually include currency in circulation (i.e. physical cash ) and demand deposits (depositors' easily accessed assets on the books of financial ...
The Lucas islands model is an economic model of the link between money supply and price and output changes in a simplified economy using rational expectations. It delivered a new classical explanation of the Phillips curve relationship between unemployment and inflation. The model was formulated by Robert Lucas, Jr. in a series of papers in the ...
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The solution of the resulting system of equations (both linear and non-linear) is the general equilibrium. [25] At the time, no general solution could be expressed for a system of arbitrarily many equations, but Walras's attempts produced two famous results in economics. The first is Walras' law and the second is the principle of tâtonnement.
The real demand for money is defined as the nominal amount of money demanded divided by the price level. 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.