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IS-LM Model: Goods Market and Financial Markets Equilibrium - Prof. Quesada Ibañez, Apuntes de Periodismo

The is-lm model, which examines the equilibrium in the goods market and financial markets. The is curve shows the equilibrium level of output as a function of the interest rate, while the lm curve shows the equilibrium interest rate as a function of income. Changes in production, consumption, taxes, and money supply can shift the is and lm curves. The is-lm model helps understand the impact of fiscal and monetary policies on output and interest rates.

Tipo: Apuntes

2014/2015

Subido el 17/02/2015

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CHAPTER 5
5.1 GOODS MARKET AND IS RELATION
Introducing the i in the goods market
I = I(Y, i) (+, —) where Y denotes both production and sales.
Recall that Y = ZZ = C(Y-T) + I (Y, i) + G and moving to a graph, also recall that the production
function was a 45º line (slope=1) and the demand function has a slope smaller than 1, which we
assumed, as before I was given constant, that an increase in output leads to a less than one-for-
one increase in demand. But now, that we allow investment to respond to production, this
restriction may no longer hold. When output increases, the sum of the increase in consumption and
the increase in investment could exceed the initial increase in output. As this theory may not hold in
practice, we will assume that the response of demand to output is less than one-for-one and draw
ZZ flatter than the 45° line.
An increase in the interest at any given level of output decreases investment, the
decrease in investment leads to a decrease in output, which further decreases
consumption and investment through the multiplier eect and shifts ZZ down.
Equilibrium in the goods market implies that an increase in the interest rate leads to a
decrease in output. The IS curve is therefore downward sloping.
The IS curve gives the equilibrium level of output as a function of the interest rate.
Shifts
Changes in either C, G or T will shift the IS curve.
to the right: increase in G and C
decrease in T
to the left: decrease in G and C (consumer confidence)
Increase in T—YD decreases and so does consumption, leading in turn to a
decrease in
the demand for goods and a decrease in equilibrium output.
i changesY moves
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CHAPTER 5

5.1 GOODS MARKET AND IS RELATION

Introducing the i in the goods market

I = I(Y, i) (+, —) where Y denotes both production and sales.

Recall that Y = ZZ = C(Y-T) + I (Y, i) + G and moving to a graph, also recall that the production function was a 45º line (slope=1) and the demand function has a slope smaller than 1, which we assumed, as before I was given constant, that an increase in output leads to a less than one-for- one increase in demand. But now, that we allow investment to respond to production, this restriction may no longer hold. When output increases, the sum of the increase in consumption and the increase in investment could exceed the initial increase in output. As this theory may not hold in practice, we will assume that the response of demand to output is less than one-for-one and draw ZZ flatter than the 45° line.

An increase in the interest at any given level of output decreases investment, the decrease in investment leads to a decrease in output, which further decreases consumption and investment through the multiplier effect and shifts ZZ down.

Equilibrium in the goods market implies that an increase in the interest rate leads to a decrease in output. The IS curve is therefore downward sloping.

T he IS curve gives the equilibrium level of output as a function of the interest rate.

Shifts

Changes in either C, G or T will shift the IS curve.

  • to the right: increase in G and C decrease in T
  • to the left: decrease in G and C (consumer confidence) Increase in T—Y D decreases and so does consumption, leading in turn to a decrease in the demand for goods and a decrease in equilibrium output.

i changesY moves

5.2 FINANCIAL MARKETS AND LM RELATION

M/P : Real money (that is, money in terms of goods), real income MP =YL(i) Y: Nominal income divided by the price level equals real income

An increase in the level of output at any given interest rate leads people to increase their demand for money but the money supply is given. Thus, the interest rate must go up until the two opposite effects on the demand for money cancel each other out. (1. Δ Y that leads people to want to hold more money (instead of bonds) 2. Δ interest rate that leads people to want to hold more bonds instead of money). At that point, the demand for money is equal to the unchanged money supply.

The higher the level of output, the higher the demand for money and, therefore, the higher the equilibrium interest rate. The LM curve is therefore upward sloping

T he LM curve gives the equilibrium interest rate as a function of income.

Shifts

Changes in the nominal Ms shift the LM curve (real Ms= M/P). Prices are kept constant as we are in a short run model.

  • If Ms Δ , there will be excess Ms which implies an excess demand for bonds, Bd (Excess bonds demand means I want to buy bonds for money so there’s an excess of money supply). If there is an excess demand for bonds, the price of bonds increases and the interest rate decreases. So if there is an increase in the money supply, the LM curve shifts downwards.
  • If Ms δ , there will be excess Md which implies an excess supply of bonds Bs (Excess supply of bonds means I want to sell my bonds for money, so there’s an excess money demand). If there is an excess supply of bonds, the price of bonds falls and the interest rate increases. So if there’s a decrease in the money supply, the LM curve shifts upwards.

The more to the right the LM curve is, the most expansionary policy we have. We can increase output without increasing the interest rate. Otherwise, decreasing the money supply implies a contractionary monetary policy.

Y changesi moves

The LM curve gives, for a given real money stock, the relation between the interest rate and the level of income. For low levels of output, the LM curve is a flat segment, with an interest rate equal to zero. Low levels of income Y’ mean fewer transactions and, therefore, a lower demand for money at any interest rate. The demand for money for a still lower levels of income Y’’ the interest rate equals zero.

In the presence of a liquidity trap, the LM curve, for values of income greater than Y′′, it is upward sloping and for values of income less than Y′′, it is flat at i = 0. (Intuitively: the interest rate cannot go below zero.)

Suppose the economy is initially at a output rate Y and interest rate i and this levels are far below the natural level of output, Yn. The question is: can monetary policy help the economy return to Y n?

If the central bank increases the money supply, shifting the LM curve to the right, the interest rate

decreases from i to zero, and output increases from Y to Y ′. What happens, however, if starting from point B? Expansionary monetary policy no longer has an effect on output.

When the interest rate is equal to zero, the economy falls in a liquidity trap. The central bank can increase liquidity – that is, increase the money supply. But this liquidity falls into a trap: the additional money is willingly held by financial investors at an unchanged interest rate, namely zero.

5.7HOW DOES THE IS-LM MODEL FIT THE FACTS

The adjustment of output clearly takes time.

  • Consumers are likely to take some time to adjust their consumption following a change in disposable income.
  • Firms take time to adjust investment spending following a change in their sales and the i rate
  • Firms may take time to adjust production following a change in their sales.

So with an increase in taxes, takes some time for consumption to respond to disposable income and for production to decrease, yet more time for investment to decrease. And with a monetary expansion, takes some time for investment to respond to the decrease in the interest rate, some more time for production to increase in response to the increase in demand, yet more time for consumption and investment to increase in response to the induced change in output and so on.

Comparing the euro area and the USA we observe that prices react more rapidly in the USA, although the size of the responses are the same. The IS–LM model seems to be a good starting point for the analysis of economic trends in the short term. In the following chapter we will extend the model, considering the effects of openness on goods and financial markets (Chapter 6). Then we will see what determines output in the medium and long run.