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Homework answers / question archive / Assume the? following: i

Assume the? following: i

Economics

Assume the? following:

i. The public holds no currency.

ii. The ratio of reserves to deposits ?(θ?) is 0.08.

iii. The demand for money is given by Md=$Y(0.84−2.7i).

 

If the monetary base is ?$77 billion and nominal income is ?$4.8 ?trillion, the equilibrium interest rate will be

23.70. ( this correct already)

 

Now suppose the monetary base? (central bank? money) increases to ?$153 billion.

As a? result, the equilibrium interest rate becomes ___________ ?(Round your response to two decimal places?.)

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Computation of Equilibrium Interest Rate:

4.8 trillions = 4800 billions

So, 

Md = 120 billions

0.08 * 4800 billions(0.84 - 2.7i) = 153 billions

384 billions ( 0.84 - 2.7i) = 153 billions

0.84 - 2.7i = 153/384

0.84 - 2.7i = 0.3984

-2.7i = -0.4416

i = 16.34%

So, Equilibrium Interest Rate = 16.34%

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