ECO349H5 Chap.3 Yield Curves and Macroeconomic Signals
Yield Curves and Macroeconomic Signals
Many maturities, one date
A yield curve compares annualized yields for comparable claims from one issuer at one observation date. Holding issuer and security type fixed matters because otherwise maturity becomes entangled with default, tax or liquidity differences. For a zero-coupon claim, price maps directly into a maturity-specific yield.
The collection of those prices forms a term structure rather than a single market interest rate.
Describe before explaining
Level is the overall height of the curve, slope compares longer and shorter maturities, and curvature records departures from a straight transition. Name the maturities used in every spread. A ten-year minus one-year spread is not interchangeable with a five-year minus three-year spread.
A curve can fall over one interval and rise over another, so calling the entire object inverted can discard relevant information.
Calculate the spread in percentage points, report its sign and then attach the verbal label. A positive long-minus-short spread indicates an upward segment; a negative value indicates inversion over that pair.
If all maturities move together, the level changes without necessarily changing slope. If short yields move more, the curve may flatten or invert. If intermediate yields move differently, curvature changes.
Construct the expectations benchmark
The expectations approach links a multi-period yield to an average of current and expected future one-period yields, subject to the compounding approximation being used.
This is a benchmark, not a complete empirical identity. It lets an answer translate a long yield into an implied path of future short rates when other components are set to zero. Always state that maintained assumption rather than silently interpreting every change as news about policy or growth.
A term premium compensates investors for bearing maturity-related risk and can vary through time.
Adding it means a high long yield can reflect higher expected future short rates, a larger premium or both. Liquidity and claim comparability can introduce additional wedges.
To distinguish explanations, ask what happened to short yields, measures of uncertainty, market liquidity and nearby maturities instead of relying on a single spread.
Connect macro signals carefully
The course model connects expected consumption or output growth to discount rates and therefore to the curve. Expected weakness can lower relevant future short-rate expectations and contribute to inversion.
That channel is a model implication under stated preferences and pricing assumptions. An observed inversion is therefore evidence about priced expectations and premia, not a mechanical cause of recession and not a certain forecast.
Empirical predictive language requires a dated spread and a horizon. Historical association cannot by itself reveal which component moved or guarantee the next outcome.
A strong answer separates three claims: the definition of the curve, the model mechanism and the empirical use of the signal. It also gives at least one competing interpretation, such as a shifting term premium, without pretending that every alternative is equally likely.
Practice as an inference problem
For each scenario, sketch the curve, compute two adjacent spreads and classify level, slope and curvature.
Next, provide an expectations explanation and a premium explanation. State which additional observation would discriminate between them. End by checking whether the claims share issuer and date. This routine converts a familiar recession headline into a structured asset-pricing argument and makes clear where a conclusion depends on assumptions rather than arithmetic.
What this chapter covers
- 01
Yield curve
- 02
Term spread
- 03
Expectations hypothesis
- 04
Term premium
- 05
Curve inversion
Worked example · free
Infer a two-year expectations yield
- 2Average the current and expected future one-year yields under the benchmark approximation.
- 2Identify the zero term-premium assumption that permits the expectations interpretation.
Key terms
- Yield Curve
- A Yield Curve maps annual yields across maturities for a comparable issuer and date.
- Curve Inversion
- A Curve Inversion occurs when a longer-maturity yield is below a selected shorter yield.
Yield Curves and Macroeconomic Signals FAQ
What does an upward yield curve mean?
It can reflect higher expected future short rates, positive term premia or both. The interpretation requires a model and comparable securities; the positive slope alone is not an identity about future economic growth.
Why can an inversion be misread?
Different maturity pairs may tell different stories, and a term premium can move independently of expected short rates. Calculate the precise spread and inspect curvature before applying a broad recession label.
How should corporate and government curves be compared?
Add default and liquidity differences to the maturity analysis. A same-maturity spread across issuers is not the same object as the slope within one issuer’s curve, so keep those comparisons separate.
Exam move
Sketch upward, flat and inverted curves, calculate spreads, and give an expectations and premium explanation for each.
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