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Assume the? following: i
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?.)
Expert Solution
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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