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Goods market and money market do not operate independently—one influences the other.

Thus, combining these two markets, we determine the values of Y and r that are consistent with equilibrium in these two markets.

**The interrelationships or the links between these two markets are: **

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There is a link between investment and interest rate determined in both the goods market and money market.

Investment is assumed to be determined by interest rate in a negative fashion. We have amply demonstrated here that the interest rate has been determined in the money market. Thus, money market influences goods market.

Another link can be traced between output/income and demand for money. We have seen that aggregate output determined in the goods market influences demand for money. An increase in income (keeping interest rate constant) causes an increase in money demand.

**These two links can be shown in the following form: **

Fig. 3.32 shows the general equilibrium in terms of IS and LM curves. Here, when both the curves are plotted on the same axes, the equilibrium level of income, Y_{E}, and the equilibrium interest rate, r_{E}, are determined simultaneously. This is known as the synthesis of monetary analysis and income analysis or macroeconomic general equilibrium. Point E is the (only) point of general equilibrium for both the markets. Point E is a stable equilibrium point.

To demonstrate stability, let us consider r_{1} – Y_{1} combination. Since this combination is on the IS curve, the product market is in equilibrium while money market is not. At this combination, there is an excess demand for money (EDM). To meet this excess demand, people will go on selling bonds. This will depress bond prices and raise interest. As interest rate increases, there are repercussions in the product market.

Now, following an increase in interest rate, investment declines and, as a consequence, income declines. So, interest rate and national income will go on changing until point E is reached, if the equilibrium is to be a stable one. This occurs only at r_{E} and Y_{E}.

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Similarly, any r – Y combination above r_{E} (say, Or_{2}) will exhibit equilibrium in the money market, but disequilibrium in the product market. Now, product market will experience a deficiency in aggregate demand.

This causes income to decline. As income declines, there are repercussions in the money market. Now, demand for money will decline as income declines. So, rate of interest must decline. If the equilibrium is stable, r and Y tend to change until point E is reached. Thus, E is a stable equilibrium point. One thing should be borne in mind—to have stability in equilibrium, the slope of the IS curve must be less than that of the LM curve.

**A Mathematical Example on General Equilibrium: **

Given C = Rs. 150 + 0.50Y, I = Rs. 200 – 400r, M_{d} = 0.25Y, M_{s} = Rs. 50 – 100r and M = Rs. 180. From these information, we like to determine equilibrium level of income, consumption, investment, transaction and speculative demand for money.

**Step 1:**

Product market equilibrium needs to be determined.

**Equilibrium condition for the product market is: **

Y = C + I

.** ^{.}**. Y = (Rs. 150 + 0.50Y) + (Rs. 200 – 400r)

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(Y- 0.50Y) = 150 + 200 – 400r

or 0.50Y = 350 – 400r (IS equation)

**Step 2:**

Money market equilibrium requires money demand must equal money supply.

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M = M_{d} + M_{s }

.** ^{.}**. Rs. 180 = 0.25Y + 50 – 100r

or 0.25Y = 130 + 100r

or 0.50Y = 260 + 200r (LM equation)

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**Step 3:**

**Combining equilibrium goods market and money market equations, we obtain **

**Step 4: **

**Putting the value of r in either IS or LM equation we get the value of Y:**

Y = Rs. 580

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**Step 5:**

C = Rs. 440

**Step 6:**

I = Rs. 140

**Step 7:**

M_{d} = Rs. 145

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**Step 8:**

M_{s} = Rs. 35