All credit for this text goes to:

Ragan, C.T.S. Macroeconomics, 18th Canadian Edition. Pearson.

LO 1: Understanding Bonds

What is present value and how does it relate to bonds?

A bond is a promise of future payments. Its price today is the present value of those future payments.

The core PV formula (single future payment):

Where R = future payment, i = interest rate, n = years until payment.

For multiple future payments:

Each payment is discounted by however many years until it arrives.

Why does the exponent matter?

Compound discounting. Each additional year of waiting means you discount by ANOTHER (1+i). If you could earn 10% per year, 110 next year, 133.10 the year after that. Going in reverse: a payment of 100 today, because that 133.10 in three years at 10%.

Why is PV the “fair price”? The third-observer framework (from lecture)

The professor frames bond pricing as an information problem, not just math. There are three parties:

  1. The buyer — has excess cash, wants to lend. Has private outside options (yield rate R) that we can’t observe.
  2. The seller — needs cash. Issuing bonds to raise money.
  3. The third observer (bank) — can see the market interest rate (i) but NOT the buyer’s private yield rate (R).

How the third observer prices the bond:

  • Banks use the known interest rate (i) to calculate PV — “how much would you need to deposit in a bank account to get the same future payments?”
  • Buyer’s price range: $0 up to PV (won’t pay more than the bank-equivalent)
  • Seller’s price range: PV to infinity (won’t accept less)
  • The only overlap is exactly PV — so the third observer concludes PV = fair price.

Why actual market prices can deviate from PV:

  • The buyer’s private yield rate (R) may differ from the bank rate (i)
  • If R > i (buyer has better options), they negotiate below PV — “I have alternatives, give me a discount”
  • If R < i (buyer’s options are worse — e.g., during a crisis, other assets are collapsing), buyer pays above PV for a trustworthy bond

2008 flight to quality (from lecture)

During the financial crisis, Greek and Icelandic governments issued bonds to raise cash. But buyers fled to German bonds (trustworthy issuer). Demand for German bonds spiked → German bond prices went ABOVE “normal” PV because buyers’ yield rates on alternatives were collapsing everywhere. People accepted worse returns on German bonds because the alternative was losing everything on risky bonds.

The critical insight: bond prices and interest rates move in OPPOSITE directions

When the interest rate rises, bond prices fall. When the interest rate falls, bond prices rise.

Why: the interest rate is in the DENOMINATOR of the PV formula. A bigger denominator means a smaller PV. A smaller denominator means a bigger PV.

Bond prices vs bond yields

TermWhat it isDirection vs interest rate
Bond priceWhat the bond costs today in the marketMoves OPPOSITE to interest rate
Bond yieldThe effective return you earn by holding the bond to maturityMoves WITH interest rate

One-line rule: "Prices down, yields up. Prices up, yields down." These are two sides of the same trade — if you pay less for the same future payment, your return goes up. If you pay more, your return goes down.

Key Vocabulary (LO 1)

Present value (PV)

Definition: The value today of a payment (or stream of payments) to be received in the future, discounted by the market interest rate. Example: 1,000/1.05 = $952.38. Trap: The formula uses (1+i)^n, not 1+(i×n). Multiple years compound, they don’t add up linearly. Connects to: bond price, interest rate, FMGT time value of money

Bond price

Definition: The market price of a bond today. Equal to the present value of all future payments the bond promises. Example: A bond paying 952.38 when interest rates are 5% and $909.09 when interest rates are 10%. Trap: Bond prices move OPPOSITE to interest rates. When the central bank raises rates, existing bond prices fall. Connects to: present value, bond yield, interest rate

Bond yield

Definition: The effective annual return on a bond, given the price paid and the future payments promised. Example: If you buy a bond for 1,000 in a year, your yield is (909.09)/$909.09 = 10%. Trap: Yield moves WITH the interest rate, opposite to bond price. Rising interest rates mean rising yields AND falling prices. Connects to: bond price, market interest rate

LO 2: The Theory of Money Demand

Why do people hold money instead of bonds?

Three reasons:

  1. Transactions demand — holding money to pay for day-to-day purchases
  2. Precautionary demand — holding money as a buffer against unexpected expenses or income shocks
  3. Speculative demand — holding money when you expect bond prices to fall (to avoid capital losses)

The core trade-off: opportunity cost

Holding money earns little or no interest. Holding bonds earns the market interest rate. Every dollar held as money has an opportunity cost equal to the interest you could have earned.

  • High interest rate → high opportunity cost → hold less money
  • Low interest rate → low opportunity cost → hold more money

This gives the MD curve a negative slope (i on y-axis, quantity of money on x-axis).

What shifts the MD curve?

VariableEffect
Interest rate (i)Movement ALONG the curve (axis variable)
Real GDP (Y)Y up → MD shifts RIGHT (more transactions need more money)
Price level (P)P up → MD shifts RIGHT (each transaction more expensive)

Kai's pattern insight: The "axis variable vs shock variable" logic is consistent across every graph in the course. If you know which variable is on the axis, everything else shifts the curve. In the money market, i is on the axis; Y and P are shocks. Same as in AD-AS where P is on the axis and AE components are shocks.

Key Vocabulary (LO 2)

Money demand (MD)

Definition: The quantity of money people want to hold at each interest rate. Downward sloping because interest rate is the opportunity cost of holding money. Example: At 10% interest, people prefer bonds and hold little money. At 2%, the opportunity cost is tiny and people hold more money. Trap: Don’t confuse movement along MD (interest rate change) with a shift of MD (Y or P change). Connects to: money supply, monetary equilibrium, transactions demand

Glossary (LO 2)

Transactions demand — The desire to hold money for day-to-day purchases. Rises with Y and P.

Precautionary demand — The desire to hold money as a buffer against unexpected expenses or income shocks.

Speculative demand — The desire to hold money (instead of bonds) when interest rates are expected to rise, which would cause bond prices to fall.

LO 3: Monetary Equilibrium

How are MS and MD determined?

CurveShapeWhy
MS (money supply)Vertical lineBank of Canada sets the quantity; doesn’t respond to interest rate
MD (money demand)Downward slopingHigher i = higher opportunity cost of holding money

Equilibrium where MS crosses MD. Sets the equilibrium interest rate (i*).

What happens when the rate is away from equilibrium?

Above equilibrium (excess money supply):

  1. People have more money than they want to hold
  2. They buy bonds to earn interest
  3. Higher demand for bonds → bond prices rise
  4. From LO 1: bond prices up → interest rates DOWN
  5. Back to equilibrium

Below equilibrium (excess money demand):

  1. People want more money than is supplied
  2. They sell bonds to raise cash
  3. Bond prices fall → interest rates RISE
  4. Back to equilibrium

The critical chain:

  • Excess money → buy bonds → bond prices up → interest rate down
  • Excess money demand → sell bonds → bond prices down → interest rate up

This IS the mechanism. It’s also Stage 1 of the monetary transmission mechanism (LO 4).

LO 4: The Monetary Transmission Mechanism

This is the single highest-priority concept on the final exam. It's how changes in the money market transmit to the real economy (Y and P). A 4-stage chain connecting four different diagrams.

The four stages

StageDiagramWhat happens
1MS/MD (Ch 12 money market)MS shifts → i changes
2Investment demand (i vs I)i change → I changes
3AE-Y 45° (Ch 7)I change → AE shifts → Y changes (with multiplier)
4AD-AS (Ch 8-9)AE change → AD shifts → Y and P change

One-line summary (expansionary)

MS↑ → i↓ → I↑, C↑, X↑ → AE↑ → AD right → Y↑ and P↑

One-line summary (contractionary)

MS↓ → i↑ → I↓, C↓, X↓ → AE↓ → AD left → Y↓ and P↓

Three channels from interest rate to the real side (from lecture)

The professor emphasizes THREE autonomous responses to an interest rate change, not just investment. All three work through opportunity cost of holding money.

ChannelMechanismWhy
I↑ (investment)Lower i = cheaper borrowing = more projects become profitableOpportunity cost of holding money for physical capital investment falls
C↑ (consumption)Lower i = less incentive to save = households consume more autonomouslyOpportunity cost of holding money for consumption falls
X↑ (exports via exchange rate)Lower i → financial capital flows OUT seeking higher returns elsewhere → domestic currency sold → exchange rate depreciates → exports cheaper for foreigners → X↑Capital flight weakens the currency

The exports channel is the one most likely to be missed on an exam. The professor traces it explicitly: i↓ → capital outflow → sell domestic currency → currency depreciates → exports rise. This is distinct from I and C — it works through the foreign exchange market, not directly through opportunity cost of domestic spending.

Stage-by-stage logic

Stage 1 — Money market: MS shifts right. Excess money at old rate. People buy bonds. Bond prices rise. Interest rate falls.

Stage 2 — Investment, consumption, AND exports: Lower interest rate = lower opportunity cost of holding money. Three responses:

  • I↑: Cheaper borrowing = more projects profitable. Firm-level math: 8% return project at 10% interest = lose 2% (don’t invest). Same project at 5% interest = net 3% (invest).
  • C↑: Less incentive to save = households consume more autonomously.
  • X↑: Capital flows out seeking higher returns → domestic currency depreciates → exports cheaper for foreigners.

Stage 3 — AE-Y 45°: All three rise (I, C, X). AE = C + I + G + NX, so AE shifts up by the combined ΔI + ΔC + ΔX. Multiplier process: initial AE increase becomes someone’s income, they spend part, chain continues. Final Y change = initial AE change × multiplier (1/(1-MPC)).

Stage 4 — AD-AS: AE rises → AD shifts right. In the short run, both Y and P rise.

The supply/demand framing trap

When AD shifts left, don't reframe as "supply rose relative to demand." That describes an AS shift, which has DIFFERENT real-GDP implications (Y ↑, P ↓) vs demand-side fall (Y ↓, P ↓). Name only the curve that actually moved.

Key Vocabulary (LO 4)

Monetary transmission mechanism

Definition: The 4-stage chain through which changes in the money supply affect real GDP and the price level. Connects the money market to the AD-AS framework. Example: Bank of Canada increases MS → interest rate falls → firms invest more (I↑), households consume more (C↑), currency depreciates so exports rise (X↑) → AE shifts up → AD shifts right → Y rises and P rises. Trap: Stage 4 is a DEMAND-side shift (AD), not a supply-side shift. Don’t reframe as “supply relative to demand.” Connects to: money market, investment demand, AE-Y diagram, AD-AS (Ch 8-9)

How to: Monetary transmission chain

Use when: Question asks about the effect of a Bank of Canada monetary policy change on real GDP and prices

Given: Direction of money supply change (expand or contract)

StageDiagramQuestion to answer
1MS/MDWhich direction does MS shift? What happens to i?
2Investment demandHow does I respond to the i change?
3AE-Y 45°How does AE shift? By how much does Y change (multiplier)?
4AD-ASHow does AD shift? What happens to Y and P in the short run?

Sanity checks:

  • Expansionary (MS↑) should raise Y and P in short run
  • Contractionary (MS↓) should lower Y and P in short run
  • The signs should all align — if i falls, I rises, C rises, X rises, AE rises, AD rises, Y rises
  • Don’t forget the X channel: i↓ → capital outflow → currency depreciates → X↑

Watch for: Name only the curve that moved. Don’t reframe demand-side shifts as supply-side.

LO 5: Long-Run Neutrality of Money

What happens to a monetary expansion over time?

In the short run, expansionary monetary policy raises both Y and P. In the long run, self-correction returns Y to Y* — only P stays permanently higher. Money is neutral in the long run.

The two-stage dance

Short run (LO 4):

  • MS↑ → i↓ → I↑ → AE↑ → AD right → Y rises above Y*, P rises
  • An inflationary gap opens

Long run (Ch 9 self-correction kicks in):

  • Y > Y* → tight labour market → wages bid up → unit costs rise → firms pass costs through as higher prices → AS shifts LEFT
  • As AS shifts left, Y falls back to Y*, P rises further

Long-run equilibrium:

  • Y back at Y*
  • P permanently higher
  • Interest rate back to its original level (real money supply MS/P is unchanged once P catches up)

Symmetric in both directions

PolicyShort runLong run
MS↑Y↑, P↑, i↓Y at Y*, P permanently higher, i back to original
MS↓Y↓, P↓, i↑Y at Y*, P permanently lower, i back to original

The punchline — classical dichotomy

In the long run, the real side of the economy (Y, employment, real wages) and the monetary side (MS, P, nominal wages) operate independently. Money is "neutral" — it changes nominal values but not real quantities.

Monetary policy as “first responder” — then fiscal replaces it (from lecture)

The professor describes a coordination sequence between monetary and fiscal policy:

  1. Shock hits → economy falls into recessionary gap (Y < Y*)
  2. Central bank acts first — fast, no parliamentary approval needed (“just a stroke of a key”). Expansionary MP: MS↑ → i↓ → I↑, C↑, X↑ → AD right → Y moves toward Y*
  3. Over time, MS is gradually withdrawn — central bank pulls money back out (MS returns to original level)
  4. Simultaneously, G increases — fiscal policy replaces the monetary boost
  5. AD stays in place because the I/C/X boost from monetary policy is replaced by G boost from fiscal policy

Why this sequence? Monetary policy is fast but temporary. Fiscal policy is slow (decision lag, implementation lag, execution lag) but can sustain the boost. The central bank buys time while Parliament gets its act together.

The P → MD → i feedback loop: why long-run neutrality actually works (from lecture)

Your notes state long-run neutrality. The professor explains the mechanism that MAKES it neutral — the price feedback loop.

The chain:

  1. Expansionary MP → short-run boost → P rises
  2. Higher P → MD shifts RIGHT (more money needed for same transactions at higher prices)
  3. MD shifts right → i rises back toward original level
  4. i rises → the I↑, C↑, X↑ boost gets reversed
  5. Y returns to Y*. Only P stays permanently higher.

Even if investment temporarily raised K and boosted Y*, the feedback loop erases that:

  • Higher P → higher MD → higher i → I falls back → ΔK shrinks → Y* boost evaporates

This is why continuous monetary expansion can’t create continuous growth — every boost to demand gets eaten by rising prices, which pull interest rates back up and cancel the real-side effects.

2008 US example of effectiveness limits (from lecture)

Money demand (MD) is empirically fairly flat. That means you need ENORMOUS MS increases to produce meaningful interest rate drops. The US started with a few trillion dollars of quantitative easing, then escalated to 8-9 trillion — because a flat MD means each MS shift barely moves the interest rate. This is LO 6’s slope logic in the real world.

Critical distinction: Y vs Y*

Monetary policy can shift AD. It cannot shift Y.*

  • Y (real GDP): Where the economy actually is right now. Fluctuates in short run based on demand shocks.
  • Y (potential GDP):* The economy’s long-run capacity. Determined by the supply-side factors from Ch 10 (labour, human capital, physical capital, technology).

Monetary policy moves Y around Y* in the short run. The self-correction mechanism pulls Y back to Y*. But Y* itself only moves when supply-side factors change — that’s Ch 10 material (economic growth), not Ch 12 material (monetary policy).

Why continuous expansion doesn’t work

If the Bank of Canada tries to permanently raise Y by continuously expanding MS:

  • Each short-run boost is temporary — Y always returns to Y*
  • Each expansion leaves P permanently higher
  • Continuous expansion → continuous inflation, not continuous growth
  • Y* is supply-side; demand-side tools can’t move it

Key Vocabulary (LO 5)

Long-run neutrality of money

Definition: In the long run, changes in the money supply affect only the price level, not real GDP, employment, or the real interest rate. Example: If the Bank of Canada permanently doubles MS, in the long run P doubles, but Y is back at Y* and i is back to its original level. Trap: Money is NOT neutral in the short run. Short-run MS changes do affect Y. Neutrality is strictly a long-run property. Connects to: classical dichotomy, self-correction (Ch 9), Y* (Ch 10)

Classical dichotomy

Definition: The long-run principle that real variables (Y, employment, real wages, real interest rate) are determined by real factors, while nominal variables (P, nominal wages, MS) are determined by monetary factors. The two sides operate independently. Example: Doubling MS doubles P and doubles nominal wages but doesn’t change real wages or real GDP. Trap: This only holds in the long run. Short-run monetary policy does affect real variables temporarily. Connects to: long-run neutrality, self-correction, Y*

LO 6: Strength of Monetary Forces

What determines how strong monetary policy is?

Monetary transmission strength = how much a given MS change affects Y. Strong transmission = big Y effect. Weak transmission = small Y effect.

Two curves determine strength:

  1. The slope of the MD curve (determines how much i changes when MS shifts)
  2. The slope of the ID curve (determines how much I changes when i shifts)

Stage 1: MS → i depends on MD slope

MD curveWhat happens when MS shifts
Steep MDSmall horizontal shift in MS → LARGE interest rate change → strong transmission
Flat MDSmall horizontal shift in MS → small interest rate change → weak transmission

Stage 2: i → I depends on ID slope

ID curveWhat happens when i changes
Flat IDGiven i change → LARGE investment change → strong transmission
Steep IDGiven i change → small investment change → weak transmission

The slope logic flips between Stage 1 and Stage 2 because the input/output axes flip.

  • Stage 1: we input an X-shift (MS), we read the Y-response (i). Steep curve = big y-response.
  • Stage 2: we input a Y-change (i), we read the X-response (I). Flat curve = big x-response.

For both stages, a “strong” curve is one where the OUTPUT responds a lot to the INPUT. But “strong” translates to different slopes in each graph because the axes are flipped.

Combined strength rule

Monetary policy is STRONGEST when MD is steep AND ID is flat. Big i change from MS shift, big I change from i shift — every stage amplifies.

Monetary policy is WEAKEST when MD is flat AND ID is steep. Small i change from MS shift, small I change from i shift — every stage dampens.

The Keynesian vs Monetarist debate

Historically, economists disagreed:

SchoolView on MDView on IDConclusion
KeynesianFlat (especially at low rates)SteepMonetary policy is weak
MonetaristSteepFlatMonetary policy is strong

Modern evidence suggests the truth lies between, varying by country and time. Both schools agreed on the mechanism; they disagreed on parameter values.

Key Vocabulary (LO 6)

Monetary transmission strength

Definition: The size of the effect on real GDP from a given change in the money supply. Depends on the slopes of the MD and ID curves. Example: If Country A and Country B both get a 40B while B’s rises by $5B, A has stronger monetary transmission. Trap: Strength is not about the direction of the effect — it’s about the magnitude. Both countries respond the same WAY; one just responds more. Connects to: monetary transmission mechanism, MD slope, ID slope


Beyond the Textbook

Why do economists disagree on monetary policy if the mechanisms are documented? The textbook gives a cleaned-up version. In reality:

  1. The models are correct; parameter values are disputed. Everyone agrees MS changes affect the money market. But slope estimates differ. Keynesians and Monetarists agreed on mechanism, disagreed on magnitudes.

  2. The long run can take a long time. “Y returns to Y* in the long run” — but how long? If self-correction takes a decade and people are suffering in year 2, “eventually it sorts itself out” isn’t useful policy. Keynes: “In the long run, we are all dead.”

  3. Y isn’t observable.* Policymakers are guessing where Y* is. Getting it wrong means applying the wrong policy.

  4. Lucas critique (1976): Historical relationships break down when the policy regime changes. If central banks target inflation for 20 years, expectations anchor and the MS→P relationship behaves differently than before. Past data doesn’t describe the future, because economic actors adapt to the policy regime.

  5. Goodhart’s Law: When a measure becomes a target, it ceases to be a good measure. Once you target inflation expectations, people adjust, and the signal changes.

  6. Reflexivity. Economic systems respond to being forecasted. If AI predicts “Y will be X next year” and everyone acts on that forecast, the forecast itself changes the outcome. Physics doesn’t have this problem — electrons don’t adapt to Newton’s laws. Economics does.

  7. Tradeoffs are political. Monetary expansion helps borrowers, hurts savers. Contraction does the reverse. Economics tells you what the tradeoffs are, not which ones are worth making. That’s politics.

Why central banks still get monetary policy wrong: They have teams of PhDs and massive data. The issue isn’t data — it’s that economic systems are reflexive and non-stationary. The map changes when the territory is observed.

Connection to AI forecasting: This is why simply scraping all available data and training an AI model won’t produce reliable economic forecasts. Structural breaks (COVID, 2008, oil shocks) invalidate past patterns. The Lucas critique says the model’s usefulness erodes the moment it’s used for policy. Goodhart’s Law says any metric optimized against becomes corrupted. These are fundamental limits, not just current technical limitations.

Public good vs profit-seeking institutions (from Ch 11 session). The banking system’s two tiers reflect a deeper public/private division. Central banks provide stability services that private markets can’t supply to themselves (lender of last resort, inter-bank settlement). Commercial banks operate under profit motives. The two-tier structure is the division of labor between public-good and private-good economic functions.