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Reforms in China’s Monetary Policy
First consider the dynamic process of banks’ creation of deposits. Under
the actual precondition that banks deal with settlement, the expansion of
bank loans will simultaneously increase banks’ deposits,
leading to an increase
of money.
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If there are no other restrictions, the scale of banks and the cor-
responding amount of money only depend on banks’ material resource costs
and the public’s demand for loans. However, in practice, the nonbank public’s
currency and payment demand as well as the monetary authority’s minimum
reserves requirement place limits on this process.
At any time point (for the average reserves requirement for a given period,
such period may be deemed as a time point), Required Reserves (RR) equals
to the product of Demand Deposit (D) and required reserves ratio (r). If the
money
only includes deposits, then it can be simplified as:
RR = D*r = M*r
M = RR/r
(1.1)
“1/r” is a simple bank multiplier. Make it equal to “K,” then M = RRK,
and it may be changed as: K = M/RR (1.2).
If the quantity of money = cash in circulation + deposits, then K = (C+D)/
RR = C/RR + 1/r. This equation is an identity, and a corresponding multi-
plier will be obtained by dividing any variable by “M.”
However, the monetary base theorists believe that the control of money
supply relies on the monetary authority accurately controlling the monetary
base and predicting several behavioral relationships between banks and non-
bank private sectors. The monetary base is a liability item of the monetary
authority or its net liability and usually consists of the currency and banks’
deposit balance in the central bank.
Currency is the written debt certificate issued by the central bank and the
difference between currency and banks’ deposits in the central bank lies in:
(1) currency
is a written certificate; and (2) currency may be held by non-
bank sectors. Therefore, the monetary base may be categorized by the above
standards or be divided into “received by the nonbank private sector (Rp)”
and “received by banks (Rb).” Such classification is based on the purposes.
Generally the currency held by banks should be included in the required
reserves, therefore we make the classification according to different holders.
For sure, this classification is only meaningful for statistics; it doesn’t say any-
thing about the actual accounts.
The money supply (Ms) is also defined as the cash held by the nonbank
private sector (Cp) and the deposits in the banking system (D). Money is a
kind of assets held by private sectors, so the Ms can
be categorized by differ-
ent forms. Then we have the following two models.
Monetary Theory
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37
Model I:
Ms = Cp + D Bs = Rp + Rb Ms = B.m
m = Ms/B = (Cp + D)/(Rp + Rb) = (Cp/D + 1)/(Rp/D + Rb/D)
= (
α
+ 1)/(
β
p +
β
b)
Ms = (
α
+ 1)/(
β
p +
β
b). B = m.B
Note:
α
= Cp/D,
β
p = Rp/D,
β
b = Rb/D
If the monetary base does not include the noncash assets that may be held
by the nonbank sectors (in UK, the prescribed deposit reserves items include
the commercial bills, etc.), then RP=CP,
α
=
β
p, Ms = (
α
+ 1)/(
α
+
β
b).B.
Model II: Ms = Cp + D Bs = C + Lf Ms = B.m
m = Ms/b = (Cp + D)/(C + Lf) = (Cp/D + 1)/(C/D + Lf/D) = (
α
+ 1)/(
β
c +
β
l)
Note:
α
= Cp/D,
β
c = C/D,
β
l = Lf/D
Ms = (
α
+ 1)/(
β
c +
β
l).B = m.B
The equations produced by the above two models are identities or defini-
tions of money multiplier, which make no behavioral sense.
Take the logarithm of the equation “MS = mB” and then differentiate:
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