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I can\'t seem to get the money demanded or the interest rate but have all the re

ID: 1206978 • Letter: I

Question

I can't seem to get the money demanded or the interest rate but have all the rest done. Consider the following model of the economy: (1) Y = C + Io + Go + Xo – M

(2) C = Co + c[Y]

(3) M = Mo + m[Y]

(4) Co = Io = Go = Mo = Xo = $100

(5)c = marginal propensity to consume = .8

(6)m = marginal propensity to import = .2

(7)MS = money supply = mm[D + F]

(8) mm = money multiplier = 1/Reserve ratio

(9) D = domestic credit = $1,000

(10) F = reserves = $1,000

(11) MD = money demand = $25,000 - $1000[i]

(12) Reserve ratio = .5

(13) i = interest rate

Find the following: (14) National income = Y $300 (15) The amount of imports M 160 (16) The trade deficit or surplus (X-M) Trade deficit of 60 (17) Money supply MS $4,000 (18) Money demand MD ?(19) The interest rate i ?

Explanation / Answer

In equilibrium , Money Demand = Money Supply, So money demand = $4000

25000 - 1000 i = 4000

1000 i = 21000

i = 21000 / 1000 = 21

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