--%>

Explain Product Market Equilibrium.

To begin with, let us recall our three-sector product-market equilibrium model given as 

C + I + G = C + S + T


To this three-sector model, we now add the foreign trade-the exports (X) and imports (M). with the addition of X and M, the four-sector product-market equilibrium condition is written as 

C + I + G + (X - M) = C + S + T 

The variables X and M need some explanation and quantification exports (X) of a country depend on a variety of factors governing the foreign demand for its goods and services. The inclusion of foreign demand parameters in the domestic model of a country is neither an easy task nor a necessity for a simplified model. Therefore, X is assumed to be a constant factor, that is,

X = X

As regards imports, imports (m) of a country are a function of a number of factors, however, for the sake of analytical simplicity; imports are treated as the function the country's national income(Y). That is import function takes the following form

M = + mY

Where, M is autonomous import and m is marginal propensity to import, the proportion of marginal national income spent on imports.

With and defined, the four- sector product-market equilibrium condition given in can be rewritten as 

C+ I + G + X - M - mY = Y = C + S + T 

The product-market equilibrium condition can also be expressed as 

Y = C + I + G + X - M - mY

Where C = a + by d( where Yd = Y - T = disposable income)

S = - a + (I - B) y (where I - B = mps)

I = I - Hi (where h > 0) 

G = G, (where G is constant)

T =T + t y, (where T is constant tax and t is tax rate <1)

By substituting the equilibrium level of income can be expressed as

Y = a + b [Y - (T + t Y)] + I - hi + G +X - M - my

=a + by - b t - bty + I - hi + G + X - M - my 

Y = 1 / 1-b+ bt + m (a - b T + I - hi + G + X - M

Y = 1 / 1 - b (1 - t) +m (a - b T + I - hi + G + X - m 


Note that the term 1/ (1 - b + bt + m) is tax-trade multiplier which may be redesignated as mu. Also let us designate the sum of the five constants, viz a, i. G, X, and M as A. by substitution these value 

Y = mu (a - b T - hi)

(Where mu is tax-trade multiplier and A = a + I + G + X - M)

Equation  gives the aggregate demand (AD) function in a four-sector model. 

   Related Questions in Macroeconomics

  • Q : Inflation Effect The economic effects

    The economic effects of inflation are all pervasive. It affects all those who depend on the market for their livelihood. The effects of inflation may be favorable or unfavorable, and low or high depending on the rate of inflation. For example a galloping the hyper inf

  • Q : How central bank reduce the

    Describe any two measures by which a Central Bank can attempt to decrease the gap. Answer: Central bank can decrease this gap by adopting two measures illustrated b

  • Q : Define involuntary unemployment

    Involuntary unemployment: Involuntary unemployment terms to a condition in which people that are willing to work are unable to obtain work.

  • Q : Limitation of credit availability What

    What occurs to economy, when credit availability is limited and credit is made costlier? Answer: Aggregate demands falls

  • Q : Define Price What do you understand by

    What do you understand by the term Price (P) at Market in Economy?

  • Q : Problem on perfect replacements Imports

    Imports and American cars are much close however not perfect replacements. When the U.S. govt. tried to enhance American car sales by setting a price ceiling of P1 on imported cars: (i) The quantity of cars imported will drop/fall from Q0 to Q1. (ii)

  • Q : Control of Inflation Economists agree

    Economists agree that inflation beyond a moderate rate is undesirable as it can often prove disastrous and therefore, it must be kept under control. Economists agree also that an appropriate mix of fiscal and monetary policies can be helpful in controlling inflation.

  • Q : Concept of deflationary gap Elucidate

    Elucidate the concept of deflationary gap. Answer: Deflationary gap is the deficit in aggregate demand from the level needed to maintain full employment equilibrium

  • Q : Merger and acquisition of firms

    Question: Suppose firm 1 and firm 2 merge. Call the new firm A. It has output xA and profit πA. Suppose there is Cournot competition after the merger. For now, we assume that the marginal cost of Firm A, the mer

  • Q : Why is tax not a capital receipt

    Illustrate, why is tax not a capital receipt?