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Money Creation by Banks and the Money Multiplier for CUET Economics

About 5 min to learn · 58 questions

What commercial banks do, reserves and the reserve ratio, how one deposit becomes loans and new deposits round after round, the money multiplier 1/r, credit created, high-powered money and the cdr–rdr multiplier, with worked examples and the traps CUET sets.

Syllabus area
Introductory Macroeconomics
On this page · 10 sections
  1. 01The core idea
  2. 02What commercial banks do
  3. 03Reserves
  4. 04Deposit creation, round by round
  5. 05The money multiplier
  6. 06High-powered money
  7. 07Exam shortcuts
  8. 08Common mistakes
  9. 09Quick revision
  10. 10Check your understanding

The core idea

Banks keep only a fraction of each deposit as reserves and lend the rest. The loan is spent and comes back to some bank as a new deposit, which is money. So lending creates money, until the whole first deposit has ended up as reserves.

What commercial banks do

How does a bank make its living?

Its two main functions are accepting deposits (demand deposits such as current and savings accounts; time deposits such as fixed and recurring deposits) and giving loans (term loans, cash credit, overdrafts). It earns the gap between the interest it charges and the interest it pays.

In a bank's balance sheet, deposits are liabilities (owed to depositors); reserves and loans are assets.

Reserves

Why can't a bank lend everything?

On any day only a small share of depositors withdraw, so a bank needs only part of its deposits as cash. It must also keep the share the RBI requires.

  • Reserve ratio r = reserves ÷ deposits.
  • Required reserves must be held; excess reserves (above the requirement) can be lent.

Deposit creation, round by round

Example 1 · ₹1,000 with r = 10%

  1. Round 1: deposit 1,000; keep 100; lend 900.

  2. Round 2: the 900 is redeposited; keep 90; lend 810.

  3. Round 3: deposit 810; keep 81; lend 729. Deposits so far = 1,000 + 900 + 810 = 2,710.

  4. The rounds shrink because 10% leaks into reserves each time. They add up to 1,000 ÷ 0.1 = 10,000.

Answer

Total deposits ₹10,000; credit created ₹9,000

The money multiplier

Simple money multiplier

Money multiplier=1rTotal deposits=Initial deposit×1r\text{Money multiplier} = \frac{1}{r} \qquad \text{Total deposits} = \text{Initial deposit} \times \frac{1}{r}
Credit created=Total deposits−Initial deposit\text{Credit created} = \text{Total deposits} - \text{Initial deposit}
Reserve ratioMultiplier
5%20
10%10
20%5
25%4

A higher reserve ratio means a smaller multiplier. The process also runs in reverse: a withdrawal of cash cuts deposits by a multiple of it.

Watch out

1 ÷ r assumes every loan comes back as a deposit and banks hold no excess reserves. If banks keep more than the legal minimum, use the ratio they actually keep.

High-powered money

What does the RBI supply?

High-powered money (reserve money) H = currency held by the public + reserves of banks. It is the RBI's liability, and banks build deposits on top of it.

Money supply from H

M=mm×Hmm=1+cdrcdr+rdrM = \text{mm} \times H \qquad \text{mm} = \frac{1 + cdr}{cdr + rdr}

cdr is the currency-deposit ratio (cash the public keeps per rupee of deposits), rdr the reserve-deposit ratio. With cdr = 0.2 and rdr = 0.1, mm = 1.2 ÷ 0.3 = 4. Cash kept outside banks lowers the multiplier, because it cannot be lent.

Example 2 · An open market purchase

The RBI buys ₹100 crore of government bonds from banks and the money multiplier is 5. By how much can money supply rise?

  1. Banks' reserves, and so H, rise by 100.

  2. Money supply can rise by 5 × 100 = ₹500 crore.

Answer

Up to ₹500 crore

Exam shortcuts

  • Multiplier = 1 ÷ r; total deposits = initial × multiplier.
  • Credit created = total deposits − initial deposit.
  • r = 1 ÷ multiplier; initial deposit = total ÷ multiplier.
  • M = mm × H.

Common mistakes

  • Giving total deposits when the question asks for credit (loans) created.
  • Using 1 ÷ (1 − r), which is the investment multiplier's shape.
  • Counting deposits as a bank's assets.
  • Forgetting that cash held by the public cuts the multiplier.

Quick revision

Banks

  • Accept deposits, give loans
  • Deposits are liabilities; reserves and loans are assets

Multiplier

  • mm = 1 ÷ r
  • Total deposits = initial deposit × mm
  • Credit created = total − initial

High-powered money

  • H = currency with the public + bank reserves
  • M = mm × H; mm = (1 + cdr) ÷ (cdr + rdr)

How the RBI uses reserves and rates to steer all this is in the central bank and monetary policy.

Next · 09Quick revision

Check your understanding

58 questions, grouped by type, easy to hard. Pick an answer and check it. The worked solution opens when you ask for it.

What commercial banks doQ1 of 58Q1

What commercial banks do

10 questions

The two main functions of a commercial bank are

Options for question 1

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AnswerB · accepting deposits and giving loans

  1. Banks take deposits from savers and lend them to borrowers.

  2. Printing currency and controlling credit are the central bank's jobs.

A commercial bank earns its profit mainly from

Options for question 2

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AnswerD · the gap between lending and deposit rates

  1. Lending rates are higher than deposit rates; the gap pays for costs and leaves profit.

Which of these is NOT a function of a commercial bank?

Options for question 3

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AnswerC · Issuing currency notes

  1. In India, only the RBI issues currency notes (the ₹1 note apart, issued by the government).

Match each banking service with its type.

List IList II
A. A fixed deposit for two yearsI. A form of loan
B. A current account for a businessII. Time deposit
C. An overdraft allowed on a current accountIII. General utility service
D. Renting a safe deposit lockerIV. Demand deposit
Options for question 4

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AnswerA · A-II, B-IV, C-I, D-III

  1. A fixed deposit is withdrawn after a set time; a current account on demand.

  2. An overdraft lets a customer draw more than his balance: a loan. A locker is a utility service.

In a bank's balance sheet, deposits are

Options for question 5

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AnswerC · liabilities, because the bank owes them to depositors

  1. Deposits must be repaid on demand or at maturity, so they are liabilities.

  2. Reserves and loans are the bank's assets.

Read the two statements and choose the correct option.

I. Loans given by a bank are its assets.

II. Reserves kept by a bank are its liabilities.

Options for question 6

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AnswerA · Only I

  1. Borrowers owe the bank, so loans are assets. I is true.

  2. Reserves are cash the bank holds: assets, not liabilities. II is false.

Banks are called 'financial intermediaries' because they

Options for question 7

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AnswerB · bring together savers who have spare funds and borrowers who need funds

  1. Savers deposit; banks lend to firms and households who want to spend or invest.

Assertion (A): Banks can lend most of their deposits instead of keeping all of them as cash.

Reason (R): On a normal day, only a small share of depositors want to withdraw their money.

Options for question 8

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AnswerA · Both A and R are true, and R is the correct explanation of A.

  1. Withdrawals on any day are a small fraction of deposits, and new deposits keep coming in.

  2. So banks keep a fraction as reserves and lend the rest. R explains A.

A recurring deposit, in which a fixed sum is paid in every month for a set period, is a

Options for question 9

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AnswerC · time deposit

  1. It can be withdrawn freely only at the end of the period, so it is a time deposit.

Assertion (A): A bank cannot lend out all of its deposits.

Reason (R): It must keep part of its deposits as reserves to meet withdrawals and the RBI's requirement.

Options for question 10

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AnswerA · Both A and R are true, and R is the correct explanation of A.

  1. Reserves are needed both by law and to pay depositors who withdraw. R explains A.

Reserves and the reserve ratio

9 questions

The reserve ratio of a bank is

Options for question 11

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AnswerC · the fraction of deposits it keeps as reserves

  1. Reserve ratio = reserves ÷ deposits.

A bank has deposits of ₹500 crore and the required reserve ratio is 20%. Its required reserves are

Options for question 12

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AnswerB · ₹100 crore

  1. Required reserves = 20% of 500 = ₹100 crore.

  2. The other ₹400 crore can be lent.

A bank has deposits of ₹800 crore and keeps reserves of ₹120 crore. Its reserve ratio is

Options for question 13

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AnswerC · 15%

  1. Reserve ratio = 120 ÷ 800 = 0.15 = 15%.

Read the two statements and choose the correct option.

I. Reserves held with the RBI under the CRR earn no interest for banks.

II. Banks may lend their required reserves when demand for loans is high.

Options for question 14

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AnswerA · Only I

  1. CRR balances are kept idle with the RBI. I is true.

  2. Required reserves must be held; only excess reserves can be lent. II is false.

A bank has deposits of ₹1,000 crore and reserves of ₹250 crore. The required reserve ratio is 20%. Its excess reserves are

Options for question 15

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AnswerA · ₹50 crore

  1. Required reserves = 20% of 1,000 = 200.

  2. Excess reserves = 250 − 200 = ₹50 crore, which the bank could lend.

The Cash Reserve Ratio (CRR) is the share of a bank's deposits that it must keep

Options for question 16

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AnswerA · as cash balances with the RBI

  1. CRR balances are held with the RBI and earn no interest.

  2. Holding liquid assets such as government securities with itself is the SLR.

Worth noting

Keeping government securities, gold or cash with the bank itself is the Statutory Liquidity Ratio, not the CRR.

Read the two statements and choose the correct option.

I. A higher reserve ratio leaves banks with less to lend from each deposit.

II. A bank's reserves earn the same interest as its loans.

Options for question 17

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AnswerA · Only I

  1. Lendable share = 1 − reserve ratio, which falls as the ratio rises. I is true.

  2. Cash reserves earn little or nothing; that is why banks lend the rest. II is false.

A bank has deposits of ₹2,000 crore and the reserve ratio is 4%. The most it can lend is

Options for question 18

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AnswerB · ₹1,920 crore

  1. Reserves = 4% of 2,000 = 80.

  2. This bank alone can lend 2,000 − 80 = ₹1,920 crore.

Worth noting

₹50,000 crore is what the whole banking system could build on the deposit, not what one bank can lend.

Assertion (A): The RBI can change the amount banks are able to lend by changing the CRR.

Reason (R): The CRR fixes the share of deposits that banks must keep with the RBI and cannot lend.

Options for question 19

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AnswerA · Both A and R are true, and R is the correct explanation of A.

  1. Raising the CRR locks up more of each deposit; cutting it frees funds for loans.

  2. R explains A.

Deposit creation, round by round

10 questions

Credit creation by banks means

Options for question 20

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AnswerB · banks creating deposits several times their reserves by lending

  1. Loans become deposits, which support more loans, so deposits grow to a multiple of reserves.

A person deposits ₹1,000 in a bank and the reserve ratio is 10%. In the first round, the bank can lend

Options for question 21

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AnswerB · ₹900

  1. Reserves = 10% of 1,000 = 100.

  2. The bank lends the rest: 1,000 − 100 = ₹900.

Continuing: the ₹900 loan is spent and redeposited in the banking system. With the reserve ratio at 10%, the second-round loan is

Options for question 22

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AnswerC · ₹810

  1. The new deposit is 900; reserves on it = 90.

  2. New loan = 900 − 90 = ₹810.

Assertion (A): Commercial banks create money.

Reason (R): Every loan a bank makes is spent and comes back to banks as a new demand deposit, which is money.

Options for question 23

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AnswerA · Both A and R are true, and R is the correct explanation of A.

  1. Demand deposits are part of the money supply.

  2. Lending creates new deposits, so it adds to money. R explains A.

Deposit creation by banks is limited by

Options for question 24

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AnswerD · the reserve ratio

  1. Each round, a share of the new deposit leaks into reserves, so the rounds shrink.

  2. When all of the first deposit has ended up as reserves, creation stops.

Which of these assumptions is made in the simple theory of deposit creation (multiplier = 1 ÷ r)?

Options for question 25

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AnswerD · All loans return as deposits; no excess reserves

  1. If money leaked out as cash or banks held extra reserves, creation would be smaller than 1 ÷ r.

An initial deposit of ₹200 crore is made and the reserve ratio is 20%. The loan made in the second round is

Options for question 26

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AnswerC · ₹128 crore

  1. Round 1: reserves 40, loan 160, which is redeposited.

  2. Round 2: reserves on 160 = 32, loan = 160 − 32 = ₹128 crore.

An initial deposit of ₹1,000 is made and the reserve ratio is 10%. Counting the initial deposit as the first round, what are total deposits after three rounds?

Options for question 27

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AnswerA · ₹2,710

  1. Deposits created: round 1 = 1,000; round 2 = 900; round 3 = 810.

  2. Total after three rounds = 1,000 + 900 + 810 = ₹2,710; it keeps rising towards ₹10,000.

Worth noting

₹3,439 also counts ₹729, the deposit that would arrive only in a fourth round.

Read the two statements and choose the correct option.

I. Deposit creation is larger if borrowers hold part of their loans as cash.

II. Deposit creation is smaller if banks keep reserves above the required level.

Options for question 28

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AnswerB · Only II

  1. Cash kept outside banks does not come back as deposits, so creation is smaller. I is false.

  2. Excess reserves are funds not lent, which also cuts creation. II is true.

An initial deposit of ₹500 crore is made and the reserve ratio is 10%. Total loans created by the banking system are

Options for question 29

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AnswerC · ₹4,500 crore

  1. Total deposits = 500 × 10 = 5,000.

  2. Total loans = 5,000 − 500 = ₹4,500 crore.

The money multiplier

17 questions

With a reserve ratio r and no cash held back by the public, the money multiplier is

Options for question 30

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AnswerC · 1 ÷ r

  1. Total deposits = initial deposit × 1 ÷ r.

Worth noting

1 ÷ (1 − r) looks like the investment multiplier formula, which uses the MPC; here the leak is r.

If the reserve ratio is 20%, the money multiplier is

Options for question 31

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AnswerC · 5

  1. Money multiplier = 1 ÷ 0.2 = 5.

If the reserve ratio is 5%, the money multiplier is

Options for question 32

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AnswerC · 20

  1. 1 ÷ 0.05 = 20.

An initial deposit of ₹1,000 crore is made and the reserve ratio is 20%. Total deposits created in the banking system are

Options for question 33

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AnswerC · ₹5,000 crore

  1. Multiplier = 1 ÷ 0.2 = 5.

  2. Total deposits = 1,000 × 5 = ₹5,000 crore.

Worth noting

₹4,000 crore is the new credit created (total deposits minus the first deposit), not total deposits.

An initial deposit of ₹1,000 crore is made and the reserve ratio is 20%. How much credit (loans) do banks create in all?

Options for question 34

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AnswerC · ₹4,000 crore

  1. Total deposits = 1,000 × 5 = 5,000.

  2. Credit created = total deposits − initial deposit = 5,000 − 1,000 = ₹4,000 crore.

If total deposits created are ₹8,000 crore from an initial deposit of ₹2,000 crore, the reserve ratio is

Options for question 35

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AnswerC · 25%

  1. Multiplier = 8,000 ÷ 2,000 = 4.

  2. Reserve ratio = 1 ÷ 4 = 0.25 = 25%.

If the reserve ratio is raised from 10% to 20%, the money multiplier

Options for question 36

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AnswerA · falls from 10 to 5

  1. 1 ÷ 0.1 = 10 and 1 ÷ 0.2 = 5.

  2. Doubling the reserve ratio halves the multiplier.

Assertion (A): The money multiplier is greater than 1.

Reason (R): Banks keep only a fraction of deposits as reserves and lend the rest, which returns as new deposits.

Options for question 37

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AnswerA · Both A and R are true, and R is the correct explanation of A.

  1. Since r is less than 1, 1 ÷ r is more than 1.

  2. R is the banking process behind it.

With a reserve ratio of 12.5%, a fresh deposit of ₹400 crore can lead to total deposits of

Options for question 38

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AnswerC · ₹3,200 crore

  1. Multiplier = 1 ÷ 0.125 = 8.

  2. Total deposits = 400 × 8 = ₹3,200 crore.

Read the two statements and choose the correct option.

I. A fall in the reserve ratio raises the money multiplier.

II. The money multiplier works in reverse when deposits are withdrawn from banks.

Options for question 39

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AnswerC · Both I and II

  1. 1 ÷ r rises as r falls. I is true.

  2. A withdrawal cuts reserves, so banks must cut loans by a multiple of it. II is true.

The money multiplier is 10. The reserve ratio is

Options for question 40

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AnswerB · 10%

  1. r = 1 ÷ multiplier = 1 ÷ 10 = 0.1 = 10%.

Read the two statements and choose the correct option.

I. The money multiplier = total deposits created ÷ initial deposit.

II. The money multiplier = initial deposit ÷ total deposits created.

Options for question 41

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AnswerA · Only I

  1. The multiplier says how many times the first deposit total deposits become. I is true, II is its inverse and false.

The money multiplier is 8. An initial deposit of ₹500 crore is made. Required reserves held across the banking system at the end of the process are

Options for question 42

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AnswerB · ₹500 crore

  1. Reserve ratio = 1 ÷ 8 = 12.5%; total deposits = 500 × 8 = 4,000.

  2. Reserves = 12.5% of 4,000 = ₹500 crore: the whole first deposit ends up as reserves.

Worth noting

₹62.5 crore is the reserve kept on the first deposit only.

The legal reserve ratio is 10% but banks choose to keep 20% of deposits as reserves. A fresh deposit of ₹100 crore creates total deposits of

Options for question 43

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AnswerB · ₹500 crore

  1. What limits lending is the share banks actually keep: 20%.

  2. Multiplier = 1 ÷ 0.2 = 5, so total deposits = 100 × 5 = ₹500 crore.

Worth noting

₹1,000 crore uses the legal 10%, but banks hold 20%, so they lend less.

The reserve ratio is 25%. To create total deposits of ₹2,000 crore, the initial deposit must be

Options for question 44

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AnswerB · ₹500 crore

  1. Multiplier = 1 ÷ 0.25 = 4.

  2. Initial deposit = 2,000 ÷ 4 = ₹500 crore.

Fresh deposits of ₹1,000 crore come into banks. If the reserve ratio is cut from 20% to 10%, the total deposits that can be built on them rise by

Options for question 45

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AnswerC · ₹5,000 crore

  1. At 20%: 1,000 × 5 = 5,000. At 10%: 1,000 × 10 = 10,000.

  2. Rise = 10,000 − 5,000 = ₹5,000 crore.

Worth noting

₹10,000 crore is the new total, not the rise.

The public withdraws ₹100 crore in cash from banks and keeps it at home. With a reserve ratio of 10% and banks fully lent out, deposits can fall by up to

Options for question 46

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AnswerD · ₹1,000 crore

  1. Banks lose ₹100 crore of reserves.

  2. To restore the 10% ratio, deposits must shrink by 100 × 10 = ₹1,000 crore.

High-powered money

12 questions

High-powered money (reserve money) consists of

Options for question 47

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AnswerB · currency held by the public and the reserves of commercial banks

  1. High-powered money is the money issued by the central bank: currency, wherever it is held, and banks' deposits with the RBI.

  2. Banks build deposits on top of it, which is why it is 'high-powered'.

Currency held by the public is ₹300 crore and banks' reserves are ₹100 crore. High-powered money is

Options for question 48

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AnswerD · ₹400 crore

  1. H = currency held by the public + bank reserves = 300 + 100 = ₹400 crore.

High-powered money is ₹400 crore and the money multiplier is 4. Money supply is

Options for question 49

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AnswerD · ₹1,600 crore

  1. Money supply = money multiplier × high-powered money = 4 × 400 = ₹1,600 crore.

Read the two statements and choose the correct option.

I. High-powered money is created by the central bank.

II. Commercial banks create deposits that are a multiple of their reserves.

Options for question 50

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AnswerC · Both I and II

  1. Currency and bank reserves are liabilities of the RBI. I is true.

  2. Banks lend most of each deposit, so deposits build up to a multiple of reserves. II is true.

High-powered money is a liability of

Options for question 51

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AnswerD · the central bank (RBI)

  1. Currency notes and banks' deposits with the RBI are claims on the RBI.

Match each term with its meaning.

List IList II
A. High-powered moneyI. Money supply ÷ high-powered money
B. Money multiplierII. New deposits that come from banks' lending
C. Excess reservesIII. Currency with the public + bank reserves
D. Credit creationIV. Reserves above the required amount
Options for question 52

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AnswerA · A-III, B-I, C-IV, D-II

  1. H is the base; the multiplier is M ÷ H; excess reserves are unused lending power; credit creation is the deposits that lending produces.

If the RBI buys government bonds worth ₹100 crore from banks and the money multiplier is 5, money supply can rise by up to

Options for question 53

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AnswerD · ₹500 crore

  1. The RBI pays banks ₹100 crore, which adds to their reserves: high-powered money rises by 100.

  2. Money supply can rise by 5 × 100 = ₹500 crore.

High-powered money is ₹500 crore and the money multiplier is 3. Money supply is

Options for question 54

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AnswerC · ₹1,500 crore

  1. M = 3 × 500 = ₹1,500 crore.

With a currency-deposit ratio (cdr) of 0.2 and a reserve-deposit ratio (rdr) of 0.1, the money multiplier (1 + cdr) ÷ (cdr + rdr) is

Options for question 55

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AnswerB · 4

  1. (1 + 0.2) ÷ (0.2 + 0.1) = 1.2 ÷ 0.3 = 4.

  2. Cash held by the public lowers the multiplier from 1 ÷ 0.1 = 10.

Worth noting

10 ignores the cash that the public keeps out of banks.

Assertion (A): A rise in the public's currency-deposit ratio lowers the money multiplier.

Reason (R): Cash held outside banks cannot be used by banks to make loans.

Options for question 56

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AnswerA · Both A and R are true, and R is the correct explanation of A.

  1. The more the public holds as cash, the less returns to banks as deposits to lend.

  2. R explains A.

Money supply is ₹6,000 crore and high-powered money is ₹1,500 crore. The money multiplier is

Options for question 57

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AnswerB · 4

  1. Money multiplier = M ÷ H = 6,000 ÷ 1,500 = 4.

With a currency-deposit ratio of 0.5 and a reserve-deposit ratio of 0.25, the money multiplier (1 + cdr) ÷ (cdr + rdr) is

Options for question 58

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AnswerB · 2

  1. (1 + 0.5) ÷ (0.5 + 0.25) = 1.5 ÷ 0.75 = 2.

Worth noting

4 is 1 ÷ 0.25, which ignores the cash the public holds.

NTA's Economics syllabus is three courses: Introductory Microeconomics, Introductory Macroeconomics and Indian Economic Development, each split into units with a list of topics. It prints no chapters and no split of the 50 questions across the courses. So the areas here are NTA's three courses, and the chapters inside them are ours: a unit that covers several ideas, such as consumer behaviour and demand, is split into a chapter for each, so that a chapter can be practised in one sitting. All three courses are here.