Deposits Reserves and Reserve Ratio Equation: A Comprehensive Guide

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The deposits reserves and reserve ratio equation is a crucial concept in banking and finance. It's a simple yet powerful tool that helps us understand how banks manage their deposits and maintain their liquidity.

The reserve ratio is the percentage of deposits that banks must hold in reserve, rather than lending them out. This ratio is typically set by the central bank, and it varies from country to country.

Banks are required to maintain a minimum reserve ratio to ensure that they have enough liquidity to meet their depositors' withdrawal requests. This helps prevent bank runs and maintains financial stability.

In the United States, for example, the Federal Reserve sets the reserve requirement, which is currently 10% for most banks. This means that for every $100 in deposits, banks must hold $10 in reserves.

Explore further: Quick Liquidity Ratio

What Is the Money Supply?

The U.S. money supply is made up of currency and deposits held by the public at commercial banks and other depository institutions. On June 30, 2004, the money supply, measured as the sum of currency and checking account deposits, totaled $1,333 billion.

Related reading: Bank Deposits News

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The Federal Reserve uses three definitions of money: M1, M2, and M3, which correspond to different measures of money. M1 is a narrow measure of money's function as a medium of exchange, while M2 and M3 are broader measures that also reflect money's function as a store of value.

For centuries, physical commodities like silver or gold served as money, but since August 15, 1971, the U.S. dollar has been fiat money, meaning it can be issued without legal constraints.

What Determines the Money Supply?

The money supply is a complex topic, but it all starts with the reserve ratio. The reserve ratio is 10% in the example given, meaning a bank must hold $50 million in reserve for every $500 million in deposits.

Banks can then lend out 90% of the deposits, which is $450 million. This money will eventually make its way back to the banking system as new deposits, allowing banks to lend out 90% of that amount again.

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The money multiplier is the result of this process, where the initial $500 million in deposits can turn into $5 billion in loans. However, some economists dispute this theory, considering money as endogenous instead.

In the endogenous money view, central banks don't impose constraints on the money creation process. They often replenish depleted reserves, allowing private banks to control the money creation process almost fully.

Money Supply History and Requirements

Bank reserve requirements have a fascinating history that impacts the money supply. The reserve ratio, a key component of fractional reserve banking, determines how much credit money banks can make by lending out deposits.

In the United States, the Federal Reserve reduced reserve requirement ratios to 0% effective on March 26, 2020. This move was likely made to increase the money supply and stimulate the economy. In contrast, some countries, like Brazil, have a high reserve ratio of 21% for term deposits.

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The reserve ratio varies significantly across countries, with some having a 0% reserve ratio like Australia, Canada, Denmark, Hong Kong, New Zealand, Norway, and the United States. Other countries, like Brazil, have a much higher reserve ratio of 21% for term deposits. The following table highlights some of the notable reserve ratios:

The reserve ratio plays a crucial role in determining the money supply, as it affects how much credit money banks can create by lending out deposits.

U.S. Money Supply History

The U.S. Money Supply History is a fascinating topic that's essential to understanding the economy. The money supply in the United States has a long and complex history.

The first paper currency was issued in 1690 by the Massachusetts Bay Colony to help finance its military efforts. This marked the beginning of paper money in the United States.

In 1775, the Continental Congress issued Continentals, which were the first national paper currency. Unfortunately, these notes lost significant value due to inflation and a lack of backing by gold or silver.

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The Coinage Act of 1873 established the gold standard, which pegged the value of the dollar to gold. This meant that the money supply was limited by the amount of gold in circulation.

The Federal Reserve System was created in 1913 to provide a more stable monetary system. It began to issue Federal Reserve notes, which were backed by gold and other assets.

The gold standard was abandoned in 1933, and the dollar became a fiat currency, meaning its value is determined by supply and demand rather than a physical commodity. This change allowed the government to print more money and implement monetary policies.

The money supply has continued to grow over the years, with the Federal Reserve playing a crucial role in managing the money supply and setting interest rates.

Bank Requirements

Bank requirements are a crucial aspect of the banking system, ensuring that financial institutions have enough liquidity to meet their obligations.

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The reserve ratio is a key component of bank requirements, set as a percentage of a bank's deposits. For example, if a bank has $1,000,000 in deposits and a reserve ratio of 10%, it must hold $100,000 in reserve.

In fractional reserve banking, the reserve ratio plays a significant role in determining how much credit money banks can create through lending. If a bank has $500 million in deposits, it must hold 10% in reserve, allowing it to lend out the remaining 90%.

To calculate a bank's reserve requirement, you can multiply the reserve ratio percentage by the amount of deposits it holds. For instance, if the reserve ratio is 11% and a bank has $1 billion in deposits, the reserve requirement would be $110 million.

Financial institutions can borrow from other banks with excess reserves at the overnight rate if they're unable to meet their reserve requirement on their own. This rate is often close to or equal to the target rate set by the central bank.

Monetary Policy

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Central banks use the reserve ratio as a key tool to implement monetary policy and control the money supply and interest rates.

A change in reserve ratio requirements can tell a lot about the monetary policy the central banks plan to implement in the near future.

Lowering the reserve ratio means banks hold more capital available for lending, which increases the money supply and decreases interest rates.

In recessionary periods, central banks can revive the economy by reducing the reserve ratio, which boosts spending and investments.

Central banks can also increase reserve requirements for banks to prevent the economy from overheating during inflationary periods, which slows down investment.

The Board of Governors of the Federal Reserve has the sole authority over changes in reserve requirements within limits specified by law.

As of March 26, 2020, the reserve requirement was set at 0%, allowing banks to use funds to lend to their customers instead of keeping them as deposits.

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Banks with more than $124.2 million in net transaction accounts were required to maintain a reserve of 10% of net transaction accounts before the pandemic.

Central banks can also use open market operations to control the money supply and interest rates by buying and selling government securities in the open market.

If central banks buy government treasuries, it leads to an inflow of cash for financial institutions, allowing them to increase lending and lower interest rates.

Conversely, selling government treasuries pulls out money from the economy, causing banks to charge higher interest rates and slow down consumption and investment.

For your interest: Net Expense Ratio

Money Supply Formula and Multiplier

The money supply formula is a crucial concept in understanding how banks create new money. It's based on the reserve ratio, which determines how much of deposits a bank must hold in reserve.

If a bank has deposits of $1 billion and a reserve ratio of 11%, it must hold $110 million in reserve. This leaves $890 million available for lending.

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In fractional reserve banking, the reserve ratio is key to understanding how much credit money banks can make by lending out deposits. For example, if a bank has $500 million in deposits, it must hold $50 million in reserve, leaving $450 million to be lent out.

That $450 million will make its way back to the banking system as new deposits, which can then be lent out again. This process can repeat multiple times, ultimately turning the original $500 million in deposits into $5 billion in loans.

The money multiplier, which is 10% in this example, defines how much credit money banks can create by lending out deposits. In this case, the multiplier is 10, meaning that $500 million in deposits can turn into $5 billion in loans.

If this caught your attention, see: Financial Ratios in Banking

Key Concepts and Definitions

The reserve ratio is a crucial concept in understanding how deposits reserves and the reserve ratio equation work. It's the percentage of a commercial bank's deposits that it must keep in cash as a reserve.

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The central bank sets the reserve ratio, which is used as a key monetary policy tool in the U.S. by the Fed. This tool helps increase or decrease the economy's money supply.

To give banks more money to lend and boost the economy, the Fed lowers the reserve ratio. Conversely, to reduce the money supply and control inflation, the Fed increases the reserve ratio.

Here's a simple breakdown of the reserve ratio's impact:

Policy and Market Impact

Central banks globally use the reserve ratio as a key tool to implement monetary policy and control the money supply and interest rates.

A lower reserve ratio means banks hold more capital available for lending, increasing the money supply and leading to lower interest rates.

In recessionary periods, central banks can revive the economy by reducing the reserve ratio, which will increase the money supply and decrease interest rates, boosting spending and investments.

Central banks can indirectly control interest rates by modifying reserve requirements and changing the money supply.

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A higher reserve ratio leads to a decrease in the money supply and an increase in interest rates, which can slow down investment in the economy during inflationary periods.

Central banks can increase reserve requirements to prevent the economy from overheating by decreasing the money supply and increasing interest rates.

Theoretical Views and Requirements

Bank reserve requirements are set as a supervisory regulation to ensure financial institutions have enough liquidity for withdrawals and obligations. This is done by setting a minimum cash reserve as a fixed percentage of a bank's deposits.

The reserve ratio is used to calculate this minimum cash reserve. For example, if a financial institution holds $1,000,000 in deposits and the reserve ratio is set at 10%, then the minimum cash reserve is $100,000.

In some cases, financial institutions may not be able to meet their reserve requirement on their own and can borrow from other institutions with excess reserves at the overnight rate. The overnight rate is generally close to or equal to the target rate set by the central bank of the country.

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To calculate the reserve requirement, you take the reserve ratio percentage and convert it to a decimal. For instance, if the reserve ratio is 11%, you would multiply 0.11 by the amount of deposits a bank holds.

The reserve ratio is key to understanding how much credit money banks can make by lending out deposits. In fractional reserve banking, a bank with $500 million in deposits must hold $50 million in reserve, and can then lend out the remaining 90%, or $450 million.

The money multiplier is defined by the 10% reserve requirement, where $500 million in deposits can turn into $5 billion in loans. This multiplier is a crucial concept in understanding how banks create credit money.

A different take: Credit Reserve Ratio

Frequently Asked Questions

What is the reserve deposit ratio?

The reserve deposit ratio is the percentage of deposits that a financial institution must hold in reserve as cash, set by the central bank. This ratio determines how much of customer deposits must be kept in reserve, rather than being lent out.

What if legal reserve ratio is 0.2 and new deposits are 1000?

If the legal reserve ratio is 0.2, the commercial bank must maintain Rs. 200 in reserve for every Rs. 1000 in new deposits. This means the bank will hold back 20% of new deposits as a reserve.

What if the reserve ratio is 5 percent then 500?

If the reserve ratio is 5%, a bank can create $20 of new money for every $1 of reserves. With $500 in reserves, the bank can theoretically create $10,000 in new money.

Lola Stehr

Copy Editor

Lola Stehr is a meticulous and detail-oriented Copy Editor with a passion for refining written content. With a keen eye for grammar and syntax, she has honed her skills in editing a wide range of articles, from in-depth market analysis to timely financial forecasts. Lola's expertise spans various categories, including New Zealand Dollar (NZD) market trends and Currency Exchange Forecasts.

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