Understanding the Impact of Currency Holding on the Economy

Let's explore what happens in the economy when people decide to hold more of their money as physical currency rather than depositing it in banks. This change in behavior has a direct impact on how the banking system can create money, which is often described using the concept of the money multiplier.

Currency Holding, Deposits, and the Banking System

Money in an economy exists primarily in two forms held by the public:

• Currency in hand: Physical cash (notes and coins) held by individuals and businesses outside the banking system.
• Deposits: Money held in bank accounts (like checking or savings accounts) that can be withdrawn or transferred.

Banks play a crucial role in the economy by accepting deposits and then lending out a portion of these deposits. This lending process is how banks create new money (credit).

The Money Multiplier Explained

The money multiplier shows how much the total money supply can change for every unit change in the monetary base (high-powered money). The monetary base includes currency held by the public and reserves held by banks at the central bank or in their own vaults.

A simplified view of the money multiplier (\(\(m\)\)) depends on two main ratios:

• Reserve Ratio (\(rr\)): The fraction of deposits that banks are required or choose to hold as reserves.
• Currency-Deposit Ratio (\(cdr\)): The ratio of currency held by the public to their bank deposits. This reflects people's preference for holding cash versus deposits.

The formula for the money multiplier is:

\(m = \frac{1 + cdr}{rr + cdr}\)

Analyzing the Impact of Increased Currency Holding

The question describes a scenario where people start holding more currency in hand and less in deposits. This directly affects the currency-deposit ratio (\(cdr\)).

• If currency holding increases relative to deposits, the numerator in the \(cdr\) (\(Currency\)) increases, and the denominator (\(Deposits\)) decreases.
• This leads to an increase in the currency-deposit ratio (\(cdr\)).

Now let's look at the money multiplier formula again:

\(m = \frac{1 + cdr}{rr + cdr}\)

Assuming the reserve ratio (\(rr\)) remains constant, let's see how an increase in \(cdr\) affects \(m\). Both the numerator (\(1 + cdr\)) and the denominator (\(rr + cdr\)) increase when \(cdr\) increases. However, the denominator increases proportionally more than the numerator because \(rr\) is added to \(cdr\) in the denominator, while 1 is added to \(cdr\) in the numerator (and \(rr\) is typically less than 1). Alternatively, we can think of it this way: an increase in \(cdr\) means a larger portion of the monetary base is held by the public as currency, which does not support bank lending, instead of being deposited in banks, which does. Therefore, the base available for banks to create credit shrinks relative to the total money supply potential.

Mathematically, if \(cdr\) increases, the value of the fraction \(\(\frac{1+cdr}{rr+cdr}\)\) decreases, assuming \(rr > 0\).

Thus, an increase in the currency-deposit ratio (\(cdr\)) leads to a decrease in the money multiplier (\(m\)).

Economic Consequence: Reduced Money Creation

A lower money multiplier means that for every unit of the monetary base, the banking system can create less money through lending. This slows down the process of credit creation and reduces the overall money supply in the economy, assuming the monetary base does not change.

Evaluating the Options

1. Money demand will increase: Money demand is influenced by factors like income, price levels, and interest rates. While people might hold more currency for various reasons (e.g., lack of trust in banks, fear of economic instability), which might imply higher demand for liquidity, the primary and most direct impact described is on the mechanics of money supply creation via the multiplier, not necessarily aggregate money demand.
2. Money multiplier will decrease: As analyzed above, an increase in the public's preference for holding currency over deposits directly increases the currency-deposit ratio, which causes the money multiplier to decrease. This option aligns with our analysis.
3. Money multiplier will increase: This is the opposite of our finding. An increased currency-deposit ratio reduces the money multiplier.
4. Money demand will decrease: Similar to option 1, this relates to the demand side. While changes in economic conditions might influence both money holding preferences and demand, the direct impact described in the question is on the supply-side mechanism (money multiplier).

Therefore, the most direct and certain impact of people holding more currency in hand and less in deposits is a decrease in the money multiplier.

Revision Table: Key Concepts

Additional Information: Factors Affecting Money Supply

The total money supply in an economy is influenced by several factors, not just the money multiplier. These include:

• Monetary Base: This is controlled primarily by the central bank through operations like open market purchases or sales of government securities. An increase in the monetary base (holding the multiplier constant) increases the money supply.
• Reserve Requirements: Set by the central bank, these mandates influence the reserve ratio (\(rr\)). Lower requirements typically increase the money multiplier.
• Bank Behavior: Banks can choose to hold excess reserves above the required minimum. If banks hold more excess reserves, the actual reserve ratio increases, decreasing the money multiplier.
• Public Behavior: The public's decision on how much currency to hold versus deposit determines the currency-deposit ratio (\(cdr\)), as discussed in the question. A higher \(cdr\) reduces the money multiplier.

Changes in any of these factors can lead to changes in the overall money supply.