Demand for money: why people hold it

Detail

1. The basic question: why hold money at all?

• Demand for money: the amount of wealth people choose to keep as money (cash plus bank balances they can spend at once) instead of in other assets.
• Money demand is a stock. It is measured at a point in time ("how much I hold on 15 March"). It is not a flow ("how much I spend per month").
• Money is the most liquid asset.
• Liquidity means how quickly and cheaply an asset can be turned into purchasing power without losing value.

• Everyone accepts money, so it needs no conversion.

• Holding money has an opportunity cost.

• Opportunity cost is the value of the best alternative you give up.
• For money, it is the interest you forgo by not holding bonds or fixed deposits.

• Worked example: you keep ₹1,00,000 as cash for a year when a fixed deposit pays 7%. The opportunity cost is ₹7,000.

• So choosing how much money to hold is a trade-off between liquidity and forgone interest.

• This is why Keynes called money demand liquidity preference.

• General rule (NCERT Class 12):

• Income ↑ → money demand ↑, because people make more transactions.

• Interest rate ↑ → money demand ↓, because holding cash costs more.

• Measuring money in India:

• The RBI has collected and published monetary statistics since July 1935 [2].
• M3 (broad money) = M1 + time deposits with the banking system [3].
• M3 is built from the balance sheets of the RBI and the rest of the banking sector, including commercial and co-operative banks [3].
• The RBI releases money supply data every fortnight. The latest release is for the fortnight ended 15 September 2026 [4].

2. Transaction motive

• Transaction motive: people hold money to pay for everyday purchases.
• Why the need arises:
• Income comes at fixed points, such as a monthly salary.
• Spending goes on every day.

• So money must be held to fill the gap between receiving income and spending it.

• Individual example:

• You earn ₹100 on the 1st and spend it evenly through the month.
• Your balance is ₹100 at the start and ₹0 at the end.

• Average holding = (100 + 0) ÷ 2 = ₹50. This is half of your monthly transactions.

• Two-person economy (firm + worker):

• The firm pays the worker ₹100 at the start of the month.
• The worker spends it on the firm's output during the month, so the money flows back to the firm.
• Each holds ₹50 on average. Total money demand = ₹100.
• Monthly transactions = ₹200 (₹100 of labour services + ₹100 of goods).

• So each rupee changes hands twice a month.

• Formulas:

• M_T^d = k·T
  • k = a positive fraction (the share of transactions held as money)
  • T = the nominal value of transactions per period
• v·M_T^d = T, where v = 1/k.
  • Velocity of circulation (v) is the number of times a unit of money changes hands in a period.
  • Here k = ½, so v = 1 ÷ ½ = 2.
• Stock vs flow:
  • M_T^d is a stock.
  • T is a flow (per month or per year).
  • So v has a time dimension, e.g. "2 times per month".
• Transactions move with nominal GDP, so M_T^d = kPY.
  • P = the price level or GDP deflator (a price index covering all goods and services in GDP)
  • Y = real GDP (output measured at constant prices)

• Worked example: k = 0.25, P = 1.2, Y = ₹200 lakh crore.

  • M_T^d = 0.25 × 1.2 × 200 = ₹60 lakh crore.
  • If P rises to 1.3, M_T^d = ₹65 lakh crore.
  • So transaction demand rises with both real income and prices.

• Precautionary motive (Keynes; goes beyond NCERT):

• People hold money for emergencies, such as illness or job loss.

• It also rises with income, so it is usually grouped with transaction demand.

• Link to the era:

• Karshapana: the punch-marked silver coin of ancient India. It lowered the cost of transactions compared with barter.
• 2016 demonetisation: old ₹500 and ₹1,000 notes stopped being legal tender (NCERT Class 12 box). People faced a sudden shortage of the money they held for transactions.
• UPI era: people can pay instantly from a bank account. So they need less cash for the transaction motive. They still demand money in the form of M1 deposits.
• Even so, cash demand keeps growing. The value of banknotes in circulation rose 3.9% and the volume rose 7.8% in 2023-24 [5].
• As on 31 March 2024, the ₹500 note had the highest share by volume, followed by ₹10. The share of ₹2,000 notes fell sharply after they were withdrawn [5].

3. Speculative motive

• Speculative motive: people hold money to avoid a loss on bonds, or to wait for a better time to buy them.
• Setting:
• All non-money assets are treated as "bonds".
• A bond's price equals the present value (PV) of its future returns.
• Present value is what a future rupee is worth today after discounting it at the interest rate.

• Competitive bidding pushes the market price of a bond to its PV.

• Worked example (₹100 face value, 2-year bond, 10% coupon, so ₹10 a year):

• At r = 5%: PV = 10/1.05 + 110/(1.05)² = 9.52 + 99.77 ≈ ₹109.29
• At r = 6%: PV = 10/1.06 + 110/(1.06)² = 9.43 + 97.90 ≈ ₹107.33

• Rule: bond prices move inversely with interest rates.

• Chain of reasoning when r is low:

• Most people expect r to rise.
• If r rises, bond prices fall, which gives bondholders a capital loss (a fall in the value of an asset you own).

• So people sell bonds and hold money. Speculative demand is high.

• Chain of reasoning when r is high:

• People expect r to fall.
• If r falls, bond prices rise, which gives a capital gain.

• So people buy bonds. Speculative demand is low.

• Formula: M_S^d = (r_max − r)/(r − r_min)

• r_max = the rate above which nobody holds money for speculation.
• r_min = the floor rate at which everyone expects only a rise.
• At r = r_max, demand = 0.
• As r approaches r_min, demand approaches ∞.

• Worked example: r_max = 10%, r_min = 2%.

  • r = 9% → (10−9)/(9−2) ≈ 0.14
  • r = 6% → 4/4 = 1
  • r = 3% → 7/1 = 7
  • So demand rises steeply as r falls towards 2%.

• Total money demand: M^d = kPY + (r_max − r)/(r − r_min)

• The first term is transaction demand. It depends on income and prices.
• The second term is speculative demand. It depends on the interest rate.
• NCERT error: equation 3.5 in Class 12 prints the second term without its minus signs. The correct form is the one above.

4. Liquidity trap

• Liquidity trap: a situation in which the interest rate is so low (at r_min) that everyone expects it to rise, so they hold only money and no extra bonds.
• What happens:
• The central bank adds money supply.
• The extra money is simply absorbed into money holdings.
• Bond demand does not rise, so bond prices do not rise, and r cannot fall further.

• Money demand is infinitely elastic: people will hold any amount of money at that rate.

• IMF view:

• In a liquidity trap, new base money (currency plus bank reserves created by the central bank) is simply absorbed by speculative demand. It has little or no effect on short-term or long-term interest rates [6].
• At the zero lower bound (ZLB), monetary policy cannot change interest rates, and money and bonds become perfect substitutes. The ZLB is the floor near 0%, below which rates are hard to cut [6].

• A trap can also start with deleveraging (households and firms cutting their debts). Spending falls, so the interest rate needs to fall. If the ZLB blocks that fall, demand stays too low and the economy enters a liquidity trap [7].

• Real examples: Japan in the 1990s; the US and Europe at the ZLB after 2008.

• Policy lesson: in a trap, monetary policy loses power. Fiscal policy (government spending and taxes) matters more.

5. Quantity theory of money

• Quantity theory of money: if velocity and output are constant, the price level changes in proportion to the money supply.
• Fisher's equation of exchange: MV = PT
• M = money supply; V = velocity; P = price level; T = volume of transactions.

• Worked example: M = 100, V = 5, T = 500 gives P = 1. If M doubles to 200 while V and T stay the same, P doubles to 2.

• Cambridge cash-balance version: M = kPY

• It focuses on how much money people wish to hold, as a fraction k of nominal income.
• Class 12's M_T^d = kPY is the same idea.

• Since k = 1/V, the Fisher and Cambridge versions are the same identity seen from two sides.

• India's income velocity = nominal GDP ÷ M3

• 2024-25: about ₹331 lakh crore ÷ ₹272.87 lakh crore ≈ 1.2 (verify against current RBI and NSO data).

• Velocity has fallen over time because of financial deepening. More people now use banks, so the M3-to-GDP ratio rises and each rupee of M3 supports less GDP.

• Cross-links: the policy use of money-market equilibrium is covered in banking-monetary-policy. How money causes inflation is covered in inflation-price-indices.

Prelims Hooks

• Money demand is a stock, the value of transactions T is a flow, and velocity (v = 1/k) has a time dimension.
• M_T^d = kPY: transaction demand rises with both real income (Y) and the price level (P).
• The opportunity cost of holding money is the interest forgone. This is why money demand is called liquidity preference (Keynes).
• Bond prices move inversely with interest rates. A ₹100, 10%, 2-year bond is worth ≈₹109.29 at 5% and ≈₹107.33 at 6%.
• Speculative demand M_S^d = (r_max − r)/(r − r_min) is 0 at r_max and approaches ∞ as r → r_min.
• Liquidity trap: money demand is infinitely elastic, money and bonds are perfect substitutes, and extra money supply cannot lower r [6].
• Fisher: MV = PT; Cambridge: M = kPY. Trap: Cambridge's k is the inverse of velocity, not velocity itself.
• M3 = M1 + time deposits with the banking system. The RBI publishes it fortnightly [3][4].
• Banknotes in circulation, 2023-24: value +3.9%, volume +7.8%. ₹500 is the largest denomination by volume [5].
• India's income velocity (nominal GDP/M3) is about 1.2 (2024-25) and falling because of financial deepening.

Mains Points

• UPI and cash demand. Digital payments cut the transaction need for cash, yet banknote value still grew 3.9% in 2023-24 [5]. This shows cash still matters for precautionary and informal-sector needs. Money demand has shifted between forms (cash to deposits), not disappeared.
• Stable money demand is key to monetary targeting. Falling velocity from financial deepening makes the M3–inflation link unstable. This is one reason India moved from monetary targeting to flexible inflation targeting with the repo rate as the main tool.
• Liquidity trap and policy mix. At the zero lower bound, extra money is hoarded [6][7]. Economies such as Japan (1990s) and the US and Europe (post-2008) therefore relied on fiscal stimulus and unconventional tools. For India, keeping policy rates positive preserves policy space, room to cut rates in a future crisis.
• Demonetisation (2016) as a money-demand shock. It suddenly removed most transaction balances. That hurt cash-dependent informal activity. It also sped up the move to deposits and digital money, which is an example of financial deepening.