Understanding the Money Multiplier

1. What is the Money Multiplier?

In simple terms, the money multiplier is the number that tells us the maximum amount of money the banking system can create for each rupee of initial deposits. It quantifies the "multiplying" effect we saw in the previous lesson.

There are two ways to define it:

1. As the factor by which total deposits increase from an initial deposit.
2. As the ratio of the total deposits created to the initial deposit.

For example, if an initial deposit of ₹1,000 leads to total deposits of ₹5,000, the money multiplier is 5 ($₹5,000/₹1,000$).

Let's watch a short video that introduces this concept.

2. The Money Multiplier Formula and its Logic

As we saw previously, we don't need to complete the entire credit creation table to find the value of the multiplier. We can calculate it directly using the Legal Reserve Ratio (LRR).

The formula is:

Remember, the LRR is the fraction of deposits that banks are legally required to keep as reserves (combining CRR and SLR).

The Inverse Relationship

This formula reveals a crucial inverse relationship between the LRR and the money multiplier.

• Higher LRR: Banks must hold more reserves and can lend out less. This reduces the amount of money created in each round, leading to a smaller money multiplier.
• Lower LRR: Banks can lend out a larger portion of their deposits. This increases the amount of money created in each round, resulting in a larger money multiplier.

This image clearly illustrates the formula and this inverse relationship with examples.

To see this logic in action, watch the following video segment.

3. Applying the Money Multiplier: Solving Numericals

Now, let's connect all the pieces to solve the numerical problems that you'll face in the exam. Your accounting background gives you an advantage in tracking these values. The two key formulas you need are:

1. $\text{Money Multiplier}=\frac{1}{\text{LRR}}$
2. $\text{Total Deposits}=\text{Initial Deposit}\times \text{Money Multiplier}$

By rearranging these, you can solve for any unknown variable: Initial Deposit, Total Deposits, or the LRR. This is a favorite question type for examiners.

The following video is excellent practice. The instructor actively solves problems, which aligns with your preference for hands-on learning.

Let's work through one example ourselves to solidify the process.

Problem: If the total deposits created in the economy are ₹80,000 crores and the Legal Reserve Ratio is 12.5%, what is the value of the initial deposit?

Solution:

• Step 1: Calculate the Money Multiplier (K).

  • LRR = 12.5% = 0.125
  • $K=\frac{1}{\text{LRR}}=\frac{1}{0.125}=8$

• Step 2: Use the Total Deposits formula to find the Initial Deposit.

  • Total Deposits = Initial Deposit × K
  • ₹80,000 crores = Initial Deposit × 8

• Step 3: Solve for the Initial Deposit.

  • Initial Deposit = $\frac{₹80,000\text{ crores}}{8}$
  • Initial Deposit = ₹10,000 crores

This systematic, step-by-step approach is the most reliable way to secure full marks on these numericals.

Conclusion

In this lesson, we formalized the concept of the money multiplier and established its direct link to the credit creation process. You are now equipped to tackle numerical problems from multiple angles.

Key Takeaways:

• The Money Multiplier (K) is the factor by which an initial deposit is multiplied to get the total deposit.
• The primary formula is $K=\frac{1}{\text{LRR}}$.
• There is an inverse relationship between the LRR and the money multiplier. A higher LRR means a lower multiplier, and vice-versa.
• You can solve for total deposits, initial deposits, or LRR by combining the two key formulas: $K=1/\text{LRR}$ and $\text{Total Deposits}=\text{Initial Deposit}\times K$.

In our next lesson, we will focus exclusively on practicing these concepts by solving a variety of numerical problems on deposit creation and the money multiplier, including questions from past CBSE board papers.