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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.
In monetary economics, the demand for money is the desired holding of financial assets in the form of money: that is, cash or bank deposits rather than investments.It can refer to the demand for money narrowly defined as M1 (directly spendable holdings), or for money in the broader sense of M2 or M3.
In some cases, there is a unique utility-maximizing bundle for each price and income situation; then, (,) is a function and it is called the Marshallian demand function. If the consumer has strictly convex preferences and the prices of all goods are strictly positive, then there is a unique utility-maximizing bundle.
One example is the estimation of money demand functions based on inventory theory, in which it can be assumed that money demand at time t is given by =, where M is the real quantity of money held by the public, R is the rate of return on an alternative, higher yielding asset in excess of that on money, Y is the public's real income, U is an ...
The Baumol–Tobin model is an economic model of the transactions demand for money as developed independently by William Baumol (1952) and James Tobin (1956). The theory relies on the tradeoff between the liquidity provided by holding money (the ability to carry out transactions) and the interest forgone by holding one’s assets in the form of non-interest bearing money.
The Cambridge equation focuses on money demand instead of money supply. The theories also differ in explaining the movement of money: In the classical version, associated with Irving Fisher , money moves at a fixed rate and serves only as a medium of exchange while in the Cambridge approach money acts as a store of value and its movement ...
To compute the inverse demand equation, simply solve for P from the demand equation. [12] For example, if the demand equation is Q = 240 - 2P then the inverse demand equation would be P = 120 - .5Q, the right side of which is the inverse demand function. [13] The inverse demand function is useful in deriving the total and marginal revenue ...
Keynesian liquidity preference theory determines interest and income using two separate equilibrium conditions, namely, the equality of saving and investment, () = (), and the equality of money demand and money supply, (,) = /. This is the familiar IS-LM model. Like the classical approach, the IS-LM model contains an equilibrium condition that ...