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If the ratio of currency to transaction accounts is 1, the ratio of nontransacti

ID: 1219429 • Letter: I

Question

If the ratio of currency to transaction accounts is 1, the ratio of nontransaction accounts to transaction accounts is 6, the ratio of retail money-market funds to transaction accounts is 2, the ratio of required reserves to transaction accounts is 0.07, and the ratio of excess reserves to transaction accounts is 0.02, calculate the M1 multiplier and the M2 multiplier

a.

M1 = 1.72

M2 = 8.77

b.

M1 = 1.83

M2 = 9.17

c.

M1 = 2.97

M2 = 9.33

d.

M1 = 3.23

M2 = 11.12

M1 = 1.72

M2 = 8.77

b.

M1 = 1.83

M2 = 9.17

c.

M1 = 2.97

M2 = 9.33

d.

M1 = 3.23

M2 = 11.12

Explanation / Answer

Option (b) -

m1=1+ (C/D)/ [rr+(ER/D) + (C/D)]

     = (1+1)/ (0.07+0.02+1)

     = 2/1.09 = 1.83 .

m2=1+(C/D)+(T/D)+(MMF/D)/[rr+(ER/D)+(C/D

      = (1 +1+6+2)/(0.07+0.02+1)

=10/1.09

=9.17