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Resources › Macroeconomics › 8. Money
Macroeconomics · Lesson 8 of 9

Money, banks and the money multiplier

Most of the money in India is not notes and coins but bank deposits, and banks create most of those themselves, by lending. This lesson shows how, why the RBI can steer the total without printing it all, and the one formula that answers most numerical questions.

← Macroeconomics moduleLesson 8 of 9 · about 45 minutes
1Measuring2Real vs nominal3Classical vs Keynes4Keynesian cross5Fiscal multipliers6Consumption7Investment8Money9Hard problems
A question to hold on to
Currency with the public falls, and demand deposits rise by exactly the same amount. What happens to the money supply? JNU set this question twice, word for word, and the two official keys give different answers.
JNU MA Economics entrance, 2017 and 2021Solved at the end ↓
In this guide
Lesson · about 45 minutes
  1. What money does
  2. Measuring money in India
  3. High-powered money
  4. How banks create money
  5. The money multiplier
  6. The tools of monetary policy
  7. Expand or contract? Eight actions
  8. The opening question, solved
  9. The lesson on one screen
  10. Check yourself
  11. Past papers, by level
01
The idea

What money does

Money is whatever is generally accepted in payment. It does three jobs (CUET 2026): it is a medium of exchange, a unit of account in which prices are quoted, and a store of value that carries purchasing power into the future.

Without it, trade is barter, which needs a double coincidence of wants: the baker who wants shoes must find a shoemaker who wants bread. Barter also needs a price for every pair of goods: with n goods, n(n − 1)/2 exchange ratios, against n money prices. With three goods both come to 3 (UGC NET 2025); with 100 goods it is 4,950 against 100. So barter has higher costs for each transaction (Hyderabad 2019).

  • Commodity or full-bodied money is worth as much as a commodity as it is as money: its intrinsic value equals its face value. None of token, quasi or fiat money fits that (Hyderabad 2011).
  • Fiat money has no intrinsic value and is accepted because of trust and legal backing (CUET 2019). Paper currency is token money (UGC NET 2025).
  • Gresham’s law: bad money drives good money out of circulation. When two coins have the same face value, people spend the worn one and keep the good one (Hyderabad 2019).

The word itself comes from Latin, from the temple of Juno Moneta in Rome, where coins were minted (UGC NET 2025).

02
Definitions

Measuring money in India

Different measures draw the line at different degrees of liquidity. Ranked from most to least liquid: currency, demand deposits, money market mutual funds, time deposits (CUET 2025). The RBI’s measures:

MeasureMade up of
Reserve money, M0 (high-powered money)Currency in circulation + bankers’ deposits with the RBI + ‘other’ deposits with the RBI
M1 (narrow money)Currency with the public + demand deposits with banks + ‘other’ deposits with the RBI
M3 (broad money)M1 + time deposits with banks
M2 and M4 (the older series)M1 and M3 plus, respectively, savings deposits and all deposits with post office savings banks

So M3 − M1 is time deposits (Hyderabad 2015), and M3 is currency, demand deposits and time deposits (Hyderabad 2014). Currency in circulation is currency with the public plus cash held by banks.

In 1998 the RBI’s Working Group on Money Supply (chaired by Y. V. Reddy) proposed new aggregates, NM1, NM2 and NM3. NM1 is currency with the public, demand deposits and ‘other’ deposits with the RBI; short-term time deposits of residents enter only at NM2 (GATE 2023).

03
The base

High-powered money

High-powered money, H, is the money the RBI itself creates: the currency it has issued and the deposits banks and others hold with it. These are the RBI’s liabilities (GATE 2026). Held by the public it is cash; held by banks it is reserves. So H = currency with the public + bank reserves + other deposits with the RBI (CUET 2019; Hyderabad 2015).

H rises when the RBI acquires assets, since it pays for them by creating liabilities: when it buys government securities, lends to banks, or buys foreign currency. A capital inflow that the RBI buys up raises H, and then the money supply by a multiple, so by an amount that depends on the multiplier (JNU 2016). If the RBI does not want that, it sterilises: it sells government bonds at home to mop up the rupees it created buying foreign exchange (Hyderabad 2010).

04
Interactive

How banks create money

A bank knows that not every depositor will want cash on the same day, so it keeps only a fraction of deposits as reserves and lends the rest. That is fractional reserve banking (Hyderabad 2020). The loan is spent; the seller deposits the proceeds, some in another bank; that bank keeps its fraction and lends the rest; and so on. Each loan creates a new deposit, and deposits are money.

The process stops because of two leaks at every round: banks keep reserves (rr per rupee of deposits) and the public keeps some cash (cu per rupee of deposits). Step through it:

Currency–deposit ratio 0.2 and reserve–deposit ratio 0.1: find the money multiplier.

Money multiplier
4

(1 + cu) ÷ (cu + rr) = 1.2 ÷ 0.3. So H = 100 becomes M = 400: deposits 333.3 and cash 66.7.

RoundNew depositsKept as reservesLent outHeld as cash
183.38.37516.7
So far83.38.316.7

After 1 round, money (cash + deposits) is 100, 25% of the way to 400. Reserves plus cash always add up to what was injected once the process ends: 33.3 + 66.7 = 100. High-powered money never multiplies itself; it is spread thinner as backing for more deposits.

Credit creation is limited by what banks must hold back: reserves with the central bank and cash in hand (UGC NET 2026), together with the public’s taste for cash. A “run on the bank” is what happens when many depositors want their money at once (Hyderabad 2020), which is why central banks enforce reserves and act as lender of last resort. Galbraith’s account of this history, set by JNU in 2010, makes the same points.

05
The formula

The money multiplier

The bank stepper adds up two geometric series. The shortcut: money is cash plus deposits, and high-powered money is cash plus reserves.

The money multiplier
M=C+D=(cu+1)D,H=C+R=(cu+rr)D⟹HM​=cu+rr1+cu​
cu = currency/deposits, the public's choice. rr = reserves/deposits, set by the CRR and the banks' own caution.

The multiplier falls when either ratio rises: a higher cash reserve ratio (JAM 2025) or a stronger preference for cash (Hyderabad 2015). It rises with the “banking habit”, as people hold less cash (JNU 2011). To get more money from a given H, the RBI would cut reserve requirements and discourage cash withdrawals (JNU 2018). With no cash held, the multiplier is 1/rr: with rr = 0.5, it is 2 (GATE 2026).

CUET 2023 · foundation and standard
The currency–deposit ratio is 0.2 and the reserve–deposit ratio 0.1. What is the money multiplier? And if the currency ratio rises to 0.4?
  1. 1
    Before.
    (1 + 0.2)/(0.2 + 0.1) = 1.2/0.3 = 4.
  2. 2
    After.
    (1 + 0.4)/(0.4 + 0.1) = 1.4/0.5 = 2.8.
Answer
4, falling to 2.8. Options of 0.25 invert the formula.
IIT JAM 2024 · standard
The cash reserve ratio is 5%, banks hold no excess reserves, and the cash–deposit ratio is 5%. How much high-powered money must the RBI inject to raise the money supply by ₹10,500 crore?
  1. 1
    Multiplier.
    (1 + 0.05)/(0.05 + 0.05) = 10.5.
  2. 2
    Injection.
    10,500 ÷ 10.5 = 1,000.
Answer
₹1,000 crore.
GATE 2021 · standard
Given monthly figures for currency, banks’ cash, currency with the public, other deposits with the RBI, bankers’ deposits with the RBI, and demand and time deposits, find the average broad money multiplier, M3/M0, for April to June.
  1. 1
    Each month.
    M3 = currency with the public + demand + time + other deposits; M0 = currency in circulation + bankers’ deposits + other deposits. April: 17,035 ÷ 3,020 = 5.6407; May: 17,232 ÷ 3,121 = 5.5213; June: 17,320 ÷ 3,184 = 5.4397.
  2. 2
    Average.
    5.534.
Answer
5.534. Use currency in circulation (which includes banks’ cash) in M0, and currency with the public in M3.
Reading a key carefully

IIT JAM 2022 gave a bank’s deposits of ₹2,56,412 and a cut in the CRR from 4.5% to 3.5%, and keyed the “additional money supply” as 2,56,412/0.035 − 2,56,412/0.045 ≈ ₹16,28,013. That treats the ₹2,56,412 as the base supporting deposits of 1/CRR times itself. The question is loosely worded, but the key is what JAM accepted, so the practice set keeps it.

06
Policy

The tools of monetary policy

The central bank, not the finance ministry, formulates monetary policy (CUET 2026). Its instruments work either on the quantity of reserves or on their price. Tax rates are fiscal policy, not a monetary instrument (UGC NET 2024).

InstrumentWhat it isTo expand money
Cash reserve ratio (CRR)Share of deposits banks must hold as reserves with the RBICut it
Statutory liquidity ratio (SLR)Share of deposits banks must hold in liquid assets such as government securitiesCut it
Open market operationsThe RBI buying or selling government securitiesBuy
Repo rateRate at which the RBI lends to banks against securities, overnight or short termCut it
Reverse repo rateRate the RBI pays banks that park funds with itCut it
Bank rateRate at which the RBI lends or rediscounts for longer periodsCut it

“Tight” monetary policy means actions that contract the money supply (Hyderabad 2018). When interest rates are near zero and the usual tools run out, central banks turn to unconventional policy: quantitative easing, buying securities on a large scale to lower long-term interest rates and expand the money supply, at the risk of higher inflation (JNU 2019; GATE 2025).

Monetary transmission is how a policy decision reaches the economy (JNU 2019): a change in the real money supply, then portfolio adjustment, then changes in asset prices and interest rates, then spending responding to interest rates, and finally output responding to aggregate demand (CUET 2026). High non-performing assets and generous small-savings rates can slow it.

07
Drill

Expand or contract? Eight actions

Does it expand or contract money? · 1 of 8

The RBI buys government securities in the open market.UGC NET 2024

08
Solving the opening question

The opening question, solved

JNU 2017 and 2021
Currency with the public falls and demand deposits rise by the same amount. What happens to the money supply?
  1. 1
    At that moment.
    Money is currency plus deposits. One went down and the other up by the same amount: M is unchanged. That is the 2017 key.
  2. 2
    After banks respond.
    The extra deposits bring reserves that banks can lend. The public now holds less cash per rupee of deposits, so cu falls and the money multiplier (1 + cu)/(cu + rr) rises. With the same H, M goes up. That is the 2021 key.
Answer
Both keys can be defended: unchanged in the first instant, higher once the multiplier works. Because a practice answer can only be marked one way, we have left both questions out of the practice sets. In an exam, read the options: “remain unchanged” fits an accounting question, “go up” a question about the money multiplier.
Pause and predict
A bank faces a 20% reserve requirement, the public holds no cash, and total reserves are ₹20 billion. What is the most deposits can be? (Hyderabad 2020)
Watch out for

The mistakes examiners are fishing for

  • Inverting the multiplier. It is (1 + cu)/(cu + rr), which is greater than 1. Answers like 0.25 are the inverse.
  • Thinking the multiplier rises with the CRR. A higher reserve or cash ratio means more leaks and a smaller multiplier.
  • Confusing high-powered money with M1. H has bank reserves in it; M1 has demand deposits instead.
  • Getting open market operations backwards. Buying bonds adds reserves; selling drains them.
09
Revise

The lesson on one screen

The lesson on one screen
Functions
Medium of exchange, unit of account, store of value. Barter needs a double coincidence and n(n − 1)/2 prices.
Kinds
Full-bodied (intrinsic = face value), token, fiat (no intrinsic value). Gresham: bad money drives out good.
Measures
M0 = currency in circulation + bankers' and other deposits with the RBI. M1 = currency with public + demand deposits + other deposits. M3 = M1 + time deposits.
High-powered money
RBI liabilities: currency with the public + reserves. Rises when the RBI buys assets.
Multiplier
M/H = (1 + cu)/(cu + rr). Falls as cu or rr rises; 1/rr if nobody holds cash.
Tools
CRR, SLR, open market operations, repo and reverse repo, bank rate; QE when rates are near zero.
10
Practice

Check yourself

0 of 8 correct so far

Compute

Multiplier
The currency–deposit ratio is 0.25 and the reserve–deposit ratio 0.15. What is the money multiplier?
Injection
The money multiplier is 3. How much high-powered money must be added to raise the money supply by 900?
Barter
In a barter economy with 5 goods, how many exchange ratios are there?
Deposits
Reserves are 50, the reserve requirement is 20%, banks hold no excess reserves and the public holds no cash. What is the most deposits can be?

Quick questions

1A rise in the cash reserve ratio makes the money multiplier
2When the central bank buys government bonds from the public, the monetary base
3The difference between M3 and M1 is
4Money with no intrinsic value, accepted because of trust in the issuer, is
11
Real questions

Past papers, by level

Foundation

Definitions and one-step problems. Most CUET, UGC NET and Hyderabad questions sit here.

25 questionsPractise →

Standard

Two or three steps and data tables, up to the hardest JNU, JAM and GATE questions.

40 questionsPractise →

Delhi School level

This topic’s hardest questions, from the DSE entrance, are worked through in Lesson 9: Money and banks.

4 questionsLesson 9 →
All 65 past-paper questions for this lesson, easiest first: practise the full set →

✦These are questions from the TestStop bank. A free account answers 10 a day, each with its worked solution; All-Access opens every set with no daily limit.

← Lesson 7InvestmentLesson 9 →The Delhi School problems

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