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Worked Examples · Example 1

Q.The Legal Reserve Ratio (LRR) fixed by the RBI is 20% and a bank receives a fresh primary deposit of ₹10,000. Calculate

(i) the credit multiplier and
(ii) the total credit (total deposits) the banking system can create.
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✓ Free question

Given: LRR =20%=0.20=20\%=0.20, Initial (primary) deposit D=₹10,000D = ₹10{,}000.

Method 1 — Direct formula

Credit multiplier: k=1LRR=10.20=5k=\dfrac{1}{LRR}=\dfrac{1}{0.20}=5

Total credit created =D×k=10,000×5=₹50,000= D\times k = 10{,}000\times5 = ₹50{,}000

Method 2 — Round-by-round verification (geometric series)

RoundDeposit (₹)Reserve (20%) (₹)Loan (₹)
110,0002,0008,000
28,0001,6006,400
36,4001,2805,120
............

Each round's deposit is 80% of the previous one, so the total of the infinite series is 10,0001−0.80=10,0000.20=₹50,000\dfrac{10{,}000}{1-0.80}=\dfrac{10{,}000}{0.20}=₹50{,}000 — exactly matching Method 1. Both methods agreeing confirms the answer.

✓Final answer

Credit multiplier = 5; Total credit created = ₹50,000.

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