# Inflation and Real Money Balance

MECO-121

Assignment # 2 (Section: 1)

Instructor: Daud Ahmed Dard

Group: 10

Group Members:

1. Naima Iram (16110001)

2. Ridaah Zargham (16110100)

3. Saeeba Ali (16110015)

4. Afrose Dar (16110269)

5. Habib Ehtisham (16110141)

6. Rukham Khan (16110020)

Question 11:

Assume that the demand for real money balance (M/P) is M/P = 0.6Y – 100i, where Y is national income and I is the nominal interest rate. The real interest rate r is fixed at 3 percent by the investment and saving functions. The expected inflation rate equals the rate of nominal money growth. a.if Y is 1,000, M is 100, and the growth rate of nominal money is 1 percent, what must I and P be? b.If Y is 1,000, M is 100, and the growth rate of nominal money is 2 percent, what must I and P be?

Solution:

a. M/P = 0.6Y-100i

r = 3%

Expected inflation = rate of nominal money growth

Y = 1,000

M = 100

Finding the value of nominal interest rate using real interest rate and expected inflation: i= r + expected inflation

i = 3+1

i = 4

Substituting the value of “i” in the demand for real money balance equation: M/P = 0.6Y-100i

100/P = 0.6(1,000)-100(4)

100/P = 600-400

P = 100/200

P = ½ = 0.5

b. Y = 1,000

M = 100

Growth rate of nominal money = Expected rate of inflation = 2% Finding the value of nominal interest rate using real interest rate and expected inflation: i = r + expected inflation

i = 3 + 2

i = 5

Substituting the value of “i” in the money demand function: M/P = 0.6Y-100i

100/P = 0.6(1,000)-100(5)

100/P = 600-500

P = 100/100

P = 1

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