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Money Supply and the Money Multiplier

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Money and Its Functions→→Central Banking and the Federal ReserveHyperinflation and the Dynamics of Very High Inflation+5 more
money-creation fractional-reserve money-multiplier required-reserves banking

Core Idea

Banks create money through the process of fractional reserve banking: they hold only a fraction of deposits as reserves and lend out the rest, which gets re-deposited and re-lent. Starting from a new deposit, the money multiplier (1 / reserve ratio) describes the maximum eventual increase in the money supply. In practice, the multiplier is smaller because banks hold excess reserves and households hold cash outside the banking system. Central banks control the monetary base (currency + reserves), and the money supply emerges from the banking system's lending behavior.

How It's Best Learned

Trace a $1,000 deposit through several rounds of a T-account (balance sheet) example with a 10% reserve requirement: loan → deposit → loan. Calculate total new money created. Then discuss what happens when banks hold excess reserves.

Common Misconceptions

Explainer

From your prerequisite study of money and its functions, you know that money is whatever serves as a medium of exchange, unit of account, and store of value. Now the question is: where does money come from? The answer is more surprising than it first appears. Most of the money in a modern economy is not created by governments printing banknotes — it is created by commercial banks when they make loans. Understanding this process requires following the T-accounts (balance sheets) of a banking system step by step.

Start with a single deposit. A household deposits $1,000 in cash at Bank A. Bank A's liabilities rise by $1,000 (it owes the depositor $1,000) and its assets rise by $1,000 in cash. If the required reserve ratio is 10%, Bank A must hold $100 in reserve but can lend out $900. When Bank A makes a $900 loan, it does not hand over cash — it credits $900 to the borrower's deposit account. This is the crucial step: the loan *creates* a new deposit of $900. The borrower spends it; that $900 eventually arrives as a deposit at Bank B. Bank B holds 10% ($90) and lends out $810, which becomes a deposit at Bank C. At each stage, 90% is re-lent and re-deposited. Summing the geometric series: total deposits created = $1,000 × 1/(reserve ratio) = $1,000 × 10 = $10,000. The money multiplier is 1/r = 10.

The multiplier formula gives a theoretical ceiling, not a prediction of what actually happens. Two frictions shrink the real-world multiplier. First, banks voluntarily hold excess reserves beyond the regulatory minimum — especially after the 2008 crisis, when the Federal Reserve began paying interest on reserves, making it attractive for banks to park funds at the Fed rather than lend. Second, households hold some fraction of money as cash outside the banking system. Every dollar held as cash rather than a bank deposit is a dollar that cannot be re-lent, breaking the chain. Because of these leakages, the actual money multiplier is typically well below the simple 1/r formula.

The central bank controls the monetary base — currency in circulation plus bank reserves — through open market operations (buying or selling government bonds). When the Fed buys bonds, it credits the selling bank's reserve account, expanding the base. But the Fed cannot directly control how much of that base gets multiplied into broad money — that depends on banks' willingness to lend and households' preferences for cash versus deposits. This is why quantitative easing (large-scale asset purchases) expanded the monetary base dramatically after 2008 without producing proportional money supply growth or inflation: banks held the extra reserves rather than lending them out. The money multiplier collapsed. This history is a reminder that the monetary base and the money supply are related but not the same thing, and that central bank control over money is indirect — mediated through the banking system's lending decisions.

Practice Questions 5 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Making 10 as an Addition Strategy → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts Through 10 → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Opposites and Additive Inverses → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Literal Equations → Slope-Intercept Form → Point-Slope Form → Writing Linear Equations → Parallel and Perpendicular Line Slopes → Graphing Linear Equations → Supply and Demand → Market Equilibrium → Money and Its Functions → Money Supply and the Money Multiplier

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