Demand for money and the interest rate

Detail

1. Interest as the price of holding money

• Liquidity means how easily an asset can be exchanged for other goods.
• Money is the most liquid asset. You can spend it at once, at full value.

• A fixed deposit, bond or house is less liquid. Turning it into cash takes time, or costs something, or both.

• Opportunity cost of holding money is what you give up by keeping cash.

• Cash in your pocket earns no interest. A fixed deposit or bond does.
• So the interest rate you give up is the "price" of holding money.

• Example: ₹10,000 kept as cash for a year, instead of in a 7% FD, costs you ₹700 in lost interest.

• The interest rate is also the cost of borrowed funds. It does two jobs at once:

• Higher r → holding cash costs more → people hold less money (money demand falls).

• Higher r → loans cost more → firms borrow less for machines and factories (investment falls).

• Demand for money (liquidity preference) is the amount of wealth people choose to keep as money rather than as bonds or other assets.

• It is a trade-off: the benefit of liquidity against the interest you lose.
• It rises with income, because a higher income means more transactions.

• It falls as the interest rate rises, because holding money costs more.

• Keynes gave two main motives for holding money: the transaction motive and the speculative motive. Together they make up total money demand.

2. Transaction motive

• Why people hold money for transactions: income comes in at fixed points (for example, salary once a month), but spending goes on all the time. So people must keep some money in between.
• One-person example (NCERT):
• You earn ₹100 on day 1 and spend it evenly over the month.
• The balance falls from ₹100 at the start to ₹0 at the end.

• Average money held = (100 + 0) ÷ 2 = ₹50.

• Two-person economy (NCERT):

• A buys from B, and B buys from A. The same ₹100 changes hands twice.

• Transactions worth ₹200 per month need only ₹100 of money.

• Formulas:

• Mᵀd = kT
  • Mᵀd = transaction demand for money.
  • T = total value of transactions in the period.
  • k = the fraction of T that people hold as money (a positive fraction, 0 < k < 1).

• In terms of GDP: Mᵀd = kPY

  • P = price level. Y = real income (real GDP). PY = nominal GDP.
  • Transaction demand rises with real income (Y) and with the price level (P).

• Velocity of circulation (v) is the number of times one unit of money changes hands in a period.

• v = 1/k, and v · Md = T.

• In the two-person example: k = 100/200 = ½, so v = 2. Check: 2 × ₹100 = ₹200 = T.

• Worked example (kPY):

• Say P = 2, Y = 500 units and k = 0.25.
• Nominal GDP = 2 × 500 = ₹1,000.
• Mᵀd = 0.25 × 1,000 = ₹250. Velocity v = 1/0.25 = 4.

• If prices double (P = 4), Mᵀd doubles to ₹500. People need more cash to buy the same goods.

• Link to the Quantity Theory: v · M = PY is the familiar MV = PY. With v steady, more money mostly means more nominal spending.

3. Speculative motive

• Speculative motive means holding money instead of bonds to avoid capital losses (a fall in the market price of an asset you own) when interest rates are expected to rise.
• Bond prices move opposite to interest rates.
• A bond pays a fixed coupon (yearly interest on its face value).

• If market rates rise, older bonds with fixed coupons become less attractive, so their price falls.

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

• Price = present value of all payments = C/(1+r) + (C + F)/(1+r)².
• At r = 5%: 10/1.05 + 110/1.05² = 9.52 + 99.77 ≈ ₹109.29.
• At r = 6%: 10/1.06 + 110/1.06² = 9.43 + 97.90 ≈ ₹107.33.

• A 1 percentage point rise in r causes a capital loss of about ₹1.96 per bond.

• How expectations shape behaviour:

• When r is high, people expect it to fall. A fall in r means bond prices will rise. So they buy bonds and hold little money.
• When r is low, people expect it to rise. A rise in r means bond prices will fall. So they sell bonds and hold money.

• So speculative demand falls as r rises. It is a downward-sloping curve.

• Formula: Msd = (rₘₐₓ − r)/(r − rₘᵢₙ)

• rₘₐₓ = a rate so high that everyone expects it to fall, so speculative money demand = 0.

• rₘᵢₙ = a rate so low that everyone expects it to rise, so speculative money demand becomes infinite.

• Worked example: take rₘₐₓ = 10% and rₘᵢₙ = 2%.

r	Msd = (10 − r)/(r − 2)
10%	0/8 = 0
8%	2/6 ≈ 0.33
6%	4/4 = 1
4%	6/2 = 3
2.5%	7.5/0.5 = 15
→ 2%	→ ∞ (liquidity trap)

• Total money demand:
• Md = Mᵀd + Msd = kPY + (rₘₐₓ − r)/(r − rₘᵢₙ)
• The first part depends on income and prices. The second part depends on the interest rate.
• (Derivations → money-evolution-functions.)

4. Money-market equilibrium

• Equilibrium interest rate: r settles where money demand Md(Y, r) = money supply Ms.
• Money supply is set by the RBI and the banking system. On the diagram it is a vertical line.

• Money demand slopes downward against r.

• If r is above equilibrium, people want to hold less money than there is. They buy bonds, bond prices rise and r falls back.

• If income Y rises, transaction demand rises. For the same money supply, r must rise to bring demand back down to supply.
• How more money lowers r (NCERT Box 3.1 logic):
• The RBI raises the money supply. People now hold more money than they want.
• They use the extra money to buy bonds.
• Bond prices rise.

• r falls, until people are happy to hold the larger money stock.

• This is the channel through which RBI's liquidity operations move market rates.

• Liquidity Adjustment Facility (LAF): the RBI's operations to put liquidity into, or take it out of, the banking system. It includes overnight and term repo/reverse repo (fixed and variable rate), the SDF and the MSF [4].
• Repo rate (the rate at which the RBI lends to banks for a short time against government securities) sits in the middle of the LAF corridor [4].
• Marginal Standing Facility (MSF) (emergency overnight borrowing by banks from the RBI) is the ceiling. It is placed 25 basis points above the repo rate [4].
• Standing Deposit Facility (SDF) (banks park surplus money with the RBI with no collateral needed) is the floor. It is placed 25 basis points below the repo rate [4].
• The SDF was introduced in April 2022. It replaced the fixed reverse repo rate as the floor of the corridor [4][5].

• Weighted Average Call Rate (WACR) (the average rate on overnight loans between banks) is the operating target of monetary policy [4].

• Current rates (August 2026 MPC):

• Repo rate 5.25%, SDF 5.00%, MSF and Bank Rate 5.50% [2].
• The MPC voted unanimously to keep the repo rate unchanged at 5.25% in both June 2026 (3–5 June) and August 2026 (3–5 August) [2][3].

• It kept a neutral stance (no bias towards cutting or raising rates) [2].

• Transmission chain:

• RBI injects liquidity (for example, a repo auction) → banks have more cash to lend overnight → the WACR falls towards the repo rate → bond yields and bank loan rates follow.
• RBI absorbs liquidity (money moves into the SDF, or reverse repo) → the WACR rises within the corridor.

5. Liquidity trap

• Liquidity trap is a situation where the interest rate is so low (at rₘᵢₙ) that monetary policy cannot push it lower.
• Everyone expects r to rise, which means bond prices will fall.
• So people hold any extra money instead of buying bonds.

• The bond-buying step in Box 3.1 stops working, so r cannot fall further.

• Money demand is infinitely elastic here. The Md curve becomes flat (horizontal) at rₘᵢₙ. In the table above, Msd → ∞ as r → 2%.

• Policy lesson: near the zero lower bound (rates close to 0%), central banks turn to unconventional tools: quantitative easing, forward guidance and long-term lending operations (section 12).
• Examples: Japan from the 1990s, and the US, UK and eurozone after 2008 and in 2020.

6. Nominal vs real interest rate

• Nominal rate is the rate written on the loan or deposit.
• Real rate is the return after allowing for inflation. It measures the rise in actual buying power.
• Fisher approximation: real rate ≈ nominal rate − expected inflation.
• Worked example (scaffold): a repo rate of 5.25% against about 4% inflation gives a real rate of about 1.25%.

• Current check: the repo rate is 5.25% (August 2026) [2]. RBI projects core inflation (inflation without food and fuel) at 4.3% for 2026-27 [2]. Measured against core inflation, the real repo rate is about 5.25 − 4.3 ≈ 0.95%.

• Why it matters:

• Savers and borrowers decide based on the real rate, not the nominal rate.
• A positive real rate holds back demand. A negative real rate pushes demand up.

• Debates about a "real policy rate" compare it with the neutral rate (the rate that neither speeds up nor slows down the economy; see section 10).

• Inflation anchor in law:

• The Monetary Policy Framework Agreement between the Government and the RBI was signed in February 2015. It adopted flexible inflation targeting (FIT) [4].
• Under Section 45ZA of the RBI Act, 1934, the Centre sets the CPI inflation target in consultation with the RBI, once every five years [6][7].
• The first notified target (5 August 2016) was 4% CPI inflation, with an upper tolerance of 6% and a lower tolerance of 2% [6].
• The band lets the MPC handle short-run supply shocks, such as a poor monsoon, while still steering inflation expectations towards 4% [6].

• RBI released a Discussion Paper on Review of the Monetary Policy Framework on 21 August 2025 [8].

• 2026-27 outlook: RBI expects growth to be resilient but lower in 2026-27. Risks come from the south-west monsoon, El Niño, geopolitics and global trade policy [2].

Prelims Hooks

• The opportunity cost of holding money is the interest rate given up. So money demand is inversely related to r and directly related to income.
• Mᵀd = kPY; velocity v = 1/k; v · Md = T. In NCERT's two-person example, ₹200 of transactions need ₹100 of money, so v = 2.
• Bond price and interest rate move in opposite directions. A 2-year, 10%-coupon ₹100 bond is worth ≈ ₹109.29 at 5% and ≈ ₹107.33 at 6%.
• Speculative demand: Msd = (rₘₐₓ − r)/(r − rₘᵢₙ). It is zero at rₘₐₓ and infinite at rₘᵢₙ.
• Liquidity trap = money demand is perfectly (infinitely) elastic at a very low rate. Monetary expansion cannot lower r further.
• LAF corridor: floor = SDF (repo − 25 bps), ceiling = MSF (repo + 25 bps). Since April 2022, the SDF (not the reverse repo) is the floor [4][5].
• Operating target of RBI monetary policy = Weighted Average Call Rate (WACR), not the repo rate [4].
• August 2026: repo 5.25%, SDF 5.00%, MSF = Bank Rate = 5.50%, neutral stance [2].
• Section 45ZA, RBI Act: the Centre fixes the CPI target with the RBI every 5 years. Target is 4% ± 2% (first notified 5 August 2016) [6][7].
• Trap: the SDF needs no collateral. The reverse repo needs government securities. The MSF is a borrowing window for banks, not a deposit window.

Mains Points

• The interest-rate channel depends on liquidity. The RBI changes the repo rate, but it moves the WACR through LAF operations: inject liquidity, banks buy bonds and lend more, and rates fall. When there is too much or too little liquidity, the WACR drifts away from the repo rate and transmission (how fast bank rates follow the policy rate) weakens. So liquidity management is as important as the rate decision itself [4].
• Limits of monetary policy: the liquidity trap shows that near very low rates, extra money is simply held, not spent. For India, with the repo at 5.25% (2026) [2], the trap is not a present risk. But it explains why advanced economies used QE after 2008 and 2020, and why fiscal policy carries more weight in deep slumps.
• Real rate vs neutral rate debate: a real repo rate near 1% (5.25% repo against about 4–4.3% inflation, 2026-27) [2] raises two questions. Is policy too tight for growth, which RBI expects to slow in 2026-27 [2]? Or is it needed to anchor expectations against monsoon and El Niño risks [2]? Answers should link to the flexible inflation targeting mandate (4% ± 2%) [6].
• Money demand and financial development: UPI, digital payments and wider financial inclusion lower k (people need less cash for each rupee of transactions), so velocity rises. This makes money demand harder to predict. It is one reason India moved from monetary targeting to an interest-rate operating target under FIT [4].