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In A Hypothetical Economy Money Demand Is Defined By The Equation: L = 400 +0,4 Y-200*R Where Y= Level Of Total Income And R = Interest Rate. Money Supply Is 60000 Monetary Units And The Money Market Is In Balance. If The Interest Rate Is 10% Calculate Income Y And Show Me How You Have Solved It. Then Choose One Of The Following: A. 59620 B.

In a hypothetical economy money demand is defined by the equation: L = 400 +0,4 Y-200*R where Y= level of total income and R = interest rate. Money supply is 60000 monetary units and the money market is in balance. If the interest rate is 10% calculate income Y and show me how you have solved it. Then choose one of the following:

A. 59620

B. 112050

c.149050

d. 23848

Answer :

The money demand equation, money supply, and the fact that the money market is in balance, we need to calculate the level of income (Y) when the interest rate (R) is 10%. The options provided are A. 59620, B. 112050, C. 149050, and D. 23848.

To find the level of income (Y) when the interest rate (R) is 10%, we can start by setting the money demand (L) equal to the money supply. In this case, the equation becomes:

L = 400 + 0.4Y - 200R

Since the money market is in balance, the money supply is equal to the money demand:

60000 = 400 + 0.4Y - 200(0.1)

Simplifying the equation, we have:

60000 = 400 + 0.4Y - 20

Combining like terms, we get:

0.4Y = 59620

To find Y, we divide both sides by 0.4:

Y = 59620 / 0.4

Calculating this, we find Y = 149050.

Therefore, the correct option from the given choices is C. 149050, as it represents the level of income (Y) when the interest rate (R) is 10%.

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