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Money multiplier: Meaning, How does it work, Process, Calculation, Formula, Reverse ratio, Limitations

Money multiplier

The money multiplier is the ratio of the money supply to the monetary base. It shows how much of the total currency is in circulation. It is simply the reciprocal of the legal reserve ratio. This is the fraction of deposits kept in liquid assets. This ratio is used to control the amount of money in circulation. However, this practice has been abandoned by many countries. Now, central banks use policies that target inflation directly. Our experts at IBC Financial will explain this concept in detail here.

What is the meaning of Money multiplier?

The money multiplier is the ratio of money in circulation to base money. The money multiplier shows how many times an increase in the reserves increases the money for the public. According to John Smithin’s paper “The Money Multiplier” on Academia, a one- dollar increase in base money results in more than one additional dollar increase in money in circulation.

How does the Money Multiplier Works?

The money multiplier works via the deposit expansion process. The money multiplier is determined by the reserve ratio. According to an article titled “Money creation” on Wikipedia, banks are limited by this ratio.

Below, our professionals at IBC Financial will explain the processes involved in creating money.

The Process of Money Creation in Banking

Contrary to common misconception, commercial banks create more money than central banks. They create money in the form of loans. This is known as fractional reserve banking. Here is a breakdown of the money supply creation process:

  1. Initial deposits: A customer deposits in a commercial bank.
  2. Required reserve: The bank keeps a fraction of the deposit based on the reserve ratio.
  3. Lending: It lends the remainder to customers.
  4. More deposit: The money is spent or deposited into another account. In turn, the receiving bank will reserve a portion and loan out the rest.
  5. Repeat: These rounds of lending generate more checkable deposits. This is known as fractional reserve banking.

The Reserve Requirement and Its Impact

The reserve requirement is the percentage of the deposits banks must keep in reserve. It affects the money multiplier due to the influence on the lending power of the commercial banks. A higher reserve ratio means that banks will hold more money. Hence, it reduces the money multiplier and vice versa.

How do you calculate the Money multiplier? 

The money multiplier is calculated using a formula. The money multiplier calculation is based on the level of money supply in context. Here is the formula to calculate money multiplier using a basic formula

Money Multiplier = 1 / Reserve Ratio

For more complex scenarios, additional factors can be considered:

For M1 money multiplier:
M1 = 1 + (C/D) / [rr + (ER/D) + (C/D)]

C = Currency in circulation, 

D = Deposits, 

rr = Required reserve ratio, 

ER = Excess reserves

For M2 money multiplier:
M2 = 1 + (C/D) + (T/D) + (MMF/D) / [rr + (ER/D) + (C/D)]

T = Time and savings deposits

MMF = Money market funds

What is the money multiplier formula?

The money multiplier formula differs depending on the context. The money multiplier formula, in its basic form, is the inverse of the reserve ratio. According to Paul Krugman’s book titled “Macroeconomics” on Open Library, the simplified formula assumes that the public keeps money only in banks.

Here are the formulas

M = 1/R

R= Reserve Requirement Ratio

Or

M = Change in Money Supply/ Change in Monetary Base

Money Supply is the total amount of cash and its equivalence circulating in the economy at a given time. This includes physical cash and checkable deposits.

Monetary base is the entire quantity of money produced by the central bank. It includes the currency in circulation, bank account balances, and reserves in the central bank. It is also called high-powered money. 

Money multiplier FAQs

The monetary multiplier is inversely proportional to the reserve ratio. The monetary multiplier increases as the ratio decreases. The larger the reserve requirement, the lower the multiplier.

The monetary multiplier is inversely proportional to the reserve ratio. The monetary multiplier increases as the ratio decreases. The larger the reserve requirement, the lower the multiplier.

The money multiplier is important in macroeconomics because it regulates the money supply. Money multiplier enhances the effectiveness of monetary policies. From Adam Hayes’ article “Deposit Multiplier vs. Money Multiplier: What’s the Difference?” on Investopedia, the multiplier determines money supply.

There are a few limitations of the money multiplier, including low demand for loans. The limitations of the money multiplier make the actual value smaller. According to the article “The Limitations Of The Money Multiplier” on Faster Capital, behavioural patterns limit the money multiplier.

 From our study at IBC Financial, here are four limitations of money multiplier:

  1. Low demand for bank loans: This causes a breakdown of the fractional reserve banking cycle, resulting in a lower money supply reserve multiplier.
  2. Interest rate: High interest rates discourage borrowing
  3. Legal regulations: Reserve and capital requirements can reduce the lending power of commercial banks.
  4. Behavioural pattern: Banks may decide not to lend in times of financial crisis recessions for fear of non-repayment.

The money multiplier can be zero or negative in rare conditions. The money multiplier value of zero or negative is more theoretical than practical. According to Tejvan Pettinger’s article “Negative multiplier effect” on Economics Help, a negative money multiplier occurs when individuals rather than keep money in the bank, choose to hold physical cash.

From our experience at IBC Financial, reducing government spending can cause a negative multiplier effect. This implies less income, leading to a fall in aggregate demand. Individuals will save their cash rather than spend.

Also, massive withdrawals in a banking crisis will reduce the banks’ lending ability.

The money multiplier determines the money supply. The money multiplier estimates how much the money supply will increase with an increase in the base money. According to Joachim Ahrensdorf’s paper titled “Variations in the Money Multiplier and Their Implications for Central Banking” on IMF, central banks control money supply through the monetary liabilities.

Money multiplier indicates how many times a deposit can be multiplied in the economy. The money multiplier is used in money creation by commercial banks. According to the article “How Banks Create Money” on OpenEd CUNY, it is also used to determine the total amount of money supply created in the economy.What is the money multiplier for 10%?

Banks play a vital role in the multiplier effect by ensuring money creation. The banks give out loans to ensure money supply. According to Akhilesh Ganti’s article “What Is the Multiplier Effect? Formula and Example” on Investopedia, banks lend one minus the reserve ratio of deposits to create money.

In the United States, the Federal Reserve influences the money multiplier through monetary policies. In Canada, the Bank of Canada fulfills a similar role by using various policy tools to manage the money supply. According to Mark Bonham’s article “Bank of Canada” in The Canadian Encyclopedia, the Bank of Canada uses various tools to influence the money multiplier.

The difference between deposit and money multiplier is that the former is the maximum amount of money a bank can create. The difference is that deposit multiplier focuses on a given amount of reserve. The deposit multiplier is only based on the initial increase in money supply. The money multiplier considers all rounds of lending.

For more information on money multiplier, contact us at IBC Financial.

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