Two calculation questions about the currency multiplier Ask the experts

On the issue of currency multipliers.

1. As we all know, in a country's commercial banking system, the statutory reserve ratio for demand deposits.

20% for fixed deposits.

The reserve ratio is 10%, and the ratio of time deposits to demand deposits is the discount rate.

is 1% and the excess reserve ratio is 5%. It is understood that the base currency of the country is 98 billion, Q:

1. The expansion of the base money to the demand deposits of commercial banks is about ().

A B CD2The country's total cash m0 is about ().

A billion. b billion.

c 100 million. d 100 million.

3.The country's real monetary aggregate (m1) is about ().

A 250 billion.

b 280 billion.

c 290 billion.

d 300 billion.

4.The country's potential monetary aggregate (m2) is about ().

A billion. b billion.

c 100 million. d 100 million.

On the issue of currency multipliers.

2. The total amount of deposit reserves held by a country's commercial banking system is 30 billion yuan, and the amount of currency in circulation held by the public is 100 yuan

Central bank. The statutory reserve ratios for demand deposits and non-personal time deposits are 15 per cent and 15 per cent, respectively

9%。According to calculations, the cash leakage rate in circulation is 25%. The excess reserve ratio of commercial banks is 5%, not for individuals.

The fixed deposit ratio is 50%.

1) Find the demand deposit currency multiplier and the M1 currency multiplier.

2) Narrow money ** amount m1.

Answer: Suppose the demand deposit is D, the base currency is B, the reserve ratio for demand deposits is RD, the reserve ratio for time deposits is RT (where D and T are the subscripts), the ratio of time deposits to demand deposits is T, the excess reserve ratio is E, and the cash discount rate.

or the leakage rate is c, then d = [1 (rd + e + c)]. Second.

Then the first problem is that the expansion multiplier for demand deposits is 1 (rd + e + c) =

The second issue is total cash. Seek d = 2969 first, then the total amount of cash is equal to.

About real money is equal to demand deposit + cash, about 300 billion yuan.

Question 4: Potential currency = demand deposit + time deposit + cash about 100 million.

Here the fixed deposit is equal to the number of demand deposits t

Solution: Suppose the reserve ratio for demand deposits is RD, the reserve ratio for time deposits is RT, and the cash flow ratio is C

If the bank's excess reserve ratio is e and the non-personal time deposit ratio is t, then there is, 1) deposit multiplier d = 1 (rd + e + c + t * rt).

The M1 currency multiplier is m = (1 + c) (rd + e + c + t * rt).

2) Base currency b = r + c = 40 billion yuan.

m1 = m * h = 25 * 400 = 100 billion yuan.

Calculation formula: The specific derivation process will not be discussed.

Suppose the demand deposit is d, the base currency is b, the demand deposit reserve ratio is RD, the reserve ratio for time deposits is rt (where d and t are subscripts), the ratio of time deposits to demand deposits is t, the excess reserve ratio is e, and the cash discount rate or leakage rate is c, then d = [1 (rd+

Then the first question is that the expansion multiplier of demand deposits is 1 (rd + the total amount of cash in the second question, first find d = 2969, then the total amount of cash is equal to about equal to the third question, real money is equal to demand deposits + cash is about 300 billion.

Question 4: Potential currency = demand deposit + time deposit + cash is about equal to 100 million.

Here the fixed deposit is equal to the demand deposit multiplied by t

Cash ratio 3200 10000=32%.

Excess reserves, BAI rate, DU 600, 10000 = 6%, statutory reserves, 1,000 billion.

Currency zhi multiplier.

DAO (3200+10000) version (3200+2600) = reserves 600 + 2000 = 260 billion.

Base money 3200 + 2600 = 580 billion.

New currency multiplier = 13,200 (3,200 + 600 + 10,000 10%) = money supply, excess reserves, and cash in circulation should remain unchanged.

【Answer】c

Answer Analysis] This question examines the formula for the currency multiplier. Money Multiplier = Money Supply of Base Money. Question 46.

Note-taking.

The formula for calculating the monetary (policy) multiplier is: k=(rc+1) (rd+re+rc). RD, RE, and RC represent the statutory reserve ratio, excess reserve ratio, and cash ratio to deposits, respectively.

The basic formula for calculating the money (policy) multiplier is: money supply and base money. The money supply is equal to the sum of currency (i.e., cash in circulation) and demand deposits;Whereas, the base currency is equal to the sum of currency and reserves.

The money multiplier is mainly determined by the currency-to-deposit ratio and the reserve-to-deposit ratio. The currency-to-deposit ratio is the ratio of cash in circulation to demand deposits in commercial banks.

(1) The demand deposit multiplier d=1 (r+e+c+rt·t)=1 (15%+5%+25%+10%·50%)=2

Currency multiplier m=(1+c) (r+e+c+rt·t)=

2）m1=m·r=