Question

What is money multiplier? What determines the value of this multiplier?

Answer 1

Money multiplier is the ratio of the stock of money to the stock of high powered money in an economy

i.e.

Where, M_M is the money multiplier

M represents stock of money

H represents high powered money

The value of money multiplier is always greater than 1.

The value of money multiplier can be derived as follows:

We know that M = C + DD = (1 + cdr) DD

Where,

M = Money supply

C = Currency held by people

cdr = Currency deposit ratio

DD = Demand deposits

Let treasury deposits of government be D

We know, High powered money = Currency + Reserve money

Or, H = C + R

= cdr D + rdr D

= D (cdr + rdr) (Taking D common)

Money multiplier

So, the ratio of money supply to high powered money becomes

But rdr < 1

So,

The currency deposit ratio (cdr) and the reserve deposit ratio (rdr) play an important role in determining the money multiplier.

The currency deposit ratio (cdr) is the ratio of the money (currency) held by public to that they hold in bank deposits.

That is,

The reserve deposit ratio (rdr) is the proportion of the total deposits kept by the commercial banks as reserve.