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DSE Economics | Monetary Policy Tutor Prep Guide | Money Multiplier and Limits

DSE Economics | Monetary Policy Tutor Prep Guide | Money Multiplier and Limits

  • 2026-11-01

Students say that cutting rates stimulates the economy, then treat the money multiplier as one, subtract inflation from the nominal rate and stop, and cannot explain why Hong Kong cannot cut rates on its own. All three gaps come from mixing up tools with transmission.

Objectives — Students can: (1) compute the money multiplier and total deposits from a reserve ratio; (2) state the transmission chain from rates to consumption, investment and net exports; (3) apply the Fisher effect to get a real rate; (4) explain the limits imposed by a linked exchange rate.

01 Prerequisites (3-minute check)

If any of these fails, fix it before the lesson starts.

Skill Quick check Pass mark
Functions of money medium of exchange, store of value notes are legal tender
Supply and demand price and quantity the interest rate is the price of money
Inflation real versus nominal nominal rates must be adjusted

02 Lesson flow (60 minutes)

Time Stage Tutor does Student does
0-10 min Money supply M1 against M3 base money 800 hundred million
10-22 min Money multiplier reciprocal of the reserve ratio 1 over 0.20 is 5
22-34 min Transmission three chains consumption, investment, net exports
34-46 min Real rate Fisher effect 5.25% less 2.4%
46-56 min Exchange rate and limits linked rate the 7.75 to 7.85 band
56-60 min Exit check collect and mark independent

03 Teaching script (read it out)

Scene 1: First move: separate tools, intermediate targets and final targets

Tools are what the central bank controls directly: the discount rate, reserve requirements and open market operations. Intermediate targets are money supply and short-term rates. Final targets are price stability, full employment and growth. Students who treat a tool as an outcome write that a rate cut lowers unemployment, skipping investment and output. With a reserve ratio of 20% the multiplier is 1 over 0.20, which is 5, so base money of 800 hundred million supports deposits of 4000 hundred million. Ask: why is the multiplier not infinite? (Each loan leaves part of the deposit as reserves.)

Task: write the three layers on one line and join them with arrows.

Scene 2: Transmission: three chains, each with conditions

A rate cut lowers borrowing costs so investment rises; it also lowers the return on saving so consumption rises; and it pushes funds abroad so the currency weakens and net exports rise. Together these raise aggregate demand. With a nominal rate of 5.25% and inflation of 2.4% the real rate is about 2.85%, and the Fisher form gives 2.78%. Marks come from the chain, not the conclusion, so the answer must show the intermediate steps. Reminder: a cut helps borrowers on floating rates at once and does nothing for fixed-rate borrowers. Compute: nominal 6% with inflation 4% gives a real rate of about 1.92%.

Scene 3: The exchange rate regime sets the policy space

Hong Kong runs a linked exchange rate, promising to hold the currency between 7.75 and 7.85 against the US dollar, so policy broadly follows the United States. When the US raises rates Hong Kong must follow even if the local economy is slowing, which is the loss of monetary autonomy. A floating regime can cut independently but pays with depreciation and imported inflation. Asked whether Hong Kong can cut rates to fight a recession, the correct answer is that the space is constrained and fiscal policy must take over. Ask: if the US cuts 25 basis points, what is Hong Kong most likely to do? (Follow, because of arbitrage.)

Task: list two advantages and two drawbacks of each regime.

04 Question types and worked steps

Type Example Steps Answer
Money multiplier reserve ratio given one divided by the ratio 5
Total deposits base money times multiplier watch the unit 4000 hundred million
Real interest rate nominal rate and inflation Fisher effect 2.78%
Policy comment effectiveness or limits tool, intermediate, final linked rate limits autonomy
Sanity check (teach this): The multiplier is at least one, so an answer below one means the ratio was inverted. Deposits cannot be smaller than base money: 4000 against 800. Real rates can be negative when inflation exceeds the nominal rate, though nominal rates rarely are. Use basis points for changes: 25 basis points is 0.25 of a percentage point, so 5.25% becomes 5.00%. Under a linked rate the two interest rates cannot drift apart for long without arbitrage.

05 Independent practice (3 questions)

Question Answer What to watch
Multiplier with a 20% reserve ratio 5 one divided by 0.20
Deposits supported by 800 hundred million 4000 hundred million 800 times 5
Real rate for 5.25% nominal and 2.4% inflation about 2.78% Fisher effect

06 Common mistakes and what to say

Mistake Student writes Say this
Inverting the multiplier answers 0.2 The multiplier is one divided by the reserve ratio, not the ratio itself.
Giving only the outcome writes that a rate cut helps the economy Show the chain: rate cut, investment up, demand up.
Plain subtraction for the real rate stops at 2.85% When inflation is high, use the Fisher form.
Ignoring the linked rate says Hong Kong can cut freely Hong Kong follows US rates, so the space is constrained.

07 Homework (paper, section and question numbers)

08 Exit check (last 5 minutes)

Question Answer Decision
Multiplier with a 20% reserve ratio 5 three correct allows trade next
Three layers of monetary policy tools, intermediate, final one wrong means reteach
Limit under a linked rate no independent rate cuts two or more wrong means restart

09 Tutor FAQ

Does more money always mean inflation?

It depends on spare capacity and velocity; with idle capacity, extra money may mostly raise output.

Why use basis points?

Rate moves are small, so basis points avoid decimal confusion; 100 basis points is one percentage point.

Does Hong Kong have its own policy rate?

It has a discount window base rate, but its direction follows the US federal funds rate.

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