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Money Multiplier

The Money Multiplier (also known as the 'deposit multiplier') is a fundamental concept in economics that explains how an initial deposit into the banking system can lead to a much larger increase in the total money supply. This isn't financial wizardry, but a standard feature of the fractional reserve banking system used across Europe and America. Under this system, a central bank—like the Federal Reserve (Fed) in the US or the European Central Bank (ECB) in the EU—requires commercial banks to hold only a fraction of customer deposits in reserve. The rest of this money, known as excess reserves, can be loaned out. When a bank makes a loan, that money is typically spent and then deposited into another bank, which then holds a small reserve and lends out the remainder. This cycle of lending and re-depositing creates a ripple effect, multiplying the impact of the original deposit throughout the economy.

How Does the Magic Happen?

Imagine the money multiplier as a stone tossed into a pond. The initial splash is the deposit, but the ripples that spread across the water represent the total money created. Let's walk through a simple example. Let's say the central bank sets the reserve requirement (the percentage of deposits a bank must hold and cannot lend out) at 10%.

  1. Step 1: The Initial Deposit. You deposit €1,000 into Bank A. The money supply has not yet changed, as the €1,000 cash in your pocket has simply become a €1,000 deposit in your account.
  2. Step 2: The First Loan. Bank A must keep 10% of your deposit (€100) in its vault or at the central bank. It can now lend out the remaining 90%, which is €900. It loans this €900 to a local business owner. At this moment, you still have your €1,000 deposit, and the business owner has €900 in cash. The money supply has now grown to €1,900!
  3. Step 3: The Ripple Effect. The business owner uses the €900 to pay a supplier. That supplier then deposits the €900 into their account at Bank B.
  4. Step 4: The Cycle Continues. Bank B now has a new deposit of €900. It keeps 10% (€90) in reserve and lends out the remaining €810. This €810 is then spent and deposited in yet another bank, and the process continues, with each loan getting progressively smaller.

This chain reaction demonstrates how the initial €1,000 deposit supports a much larger amount of money circulating in the economy.

The Formula: A Peek Under the Hood

The theoretical power of this effect can be calculated with a surprisingly simple formula. It tells you the maximum amount the money supply could increase from a new deposit. The Formula: Money Multiplier = 1 / Reserve Requirement Using our example where the reserve requirement is 10% (or 0.10): Money Multiplier = 1 / 0.10 = 10 This means that for every new euro deposited, the banking system can theoretically create up to €10 in total money. So, our initial €1,000 deposit could ultimately lead to a total of €10,000 (€1,000 x 10) in the money supply. This is a powerful tool for central banks to influence the economy. By lowering the reserve requirement, they can increase the multiplier, encouraging more lending and stimulating growth. By raising it, they can shrink the multiplier to curb inflation.

The Value Investor's Perspective

For a value investor, the money multiplier isn't just an abstract theory; it's a practical gauge of the economic environment. Here’s why you should care:

Reality Check: The Real World Is Messier

The simple formula gives us the potential money multiplier, but the real-world effect is almost always weaker. The textbook model makes a few big assumptions that don't always hold true.