Assume that the demand for real money balance is:
M/P= Y[0.6-(r+pe
)]
Income, Y= 1000. Real Interest Rate, r = 0.05 (5%)
Expected Inflation Rate pe is constant at 0.05% (5%)
calculate the seignorage if the rate of growth of nominal money rate is 7%
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Given:
Real Money Balance = M/P = Y[0.6 - (r + πe)]
Income = Y = 1000
Real Interest Rate = r = 0.05
Expected Inflation Rate = πe = 0.05
Growth rate of nominal money = (ΔM/M) = 7% = 0.07
To find:
Seignorage.
Solution:
We can solve the problem by using the direct formula for Seignorage (S).
S = (M/P)*(ΔM/M)
where
(M/P) = 1000*[ 0.6- (0.05+0.05)]
= 1000*( 0.6 - 0.1 )
= 1000*(0.5)
=500
Thus, we have
S = 500*(0.07)
= 35
Hence, Seignorage = 35
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