What does the forward curve tell us about future rate expectations?

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AcadiFi · Accepted Answer

The forward curve is derived from spot yields and represents the market-implied future yield at a given horizon, assuming no-arbitrage. Whether it equals expected future spot rates depends on which theory you believe. **Three competing theories**: **1. Pure Expectations Hypothesis (PEH)** — Forward rate = expected future spot rate. No risk premium. Under PEH, if 1-year forward 1-year rate is 4.50%, the market expects the 1-year spot to be 4.50% in one year. **2. Liquidity Preference Theory** — Forward rate = expected future spot + TERM premium. Investors demand higher yield for longer maturities because of duration risk. Forward curve OVERSTATES expected future spot. **3. Market Segmentation / Preferred Habitat** — Rates at each maturity are set by supply and demand within that segment. Forwards may be biased by pension demand (long end), banks (short end), etc. **Empirical evidence**: The forward curve has been a POOR predictor of realized future spot rates. Over 1980–2024, average 1-year-ahead forward 1-year rate was ~60bps higher than realized. Consistent with a positive term premium (~0–100bps depending on maturity, time-varying). **How practitioners use the forward curve**: 1. **Pricing** — valuing swaps, FRAs, and forward-starting instruments. 2. **Hedging** — locking in borrowing/lending rates. 3. **Expectation extraction** — subtract term premium estimate to get 'true' expected rates. 4. **Scenario analysis** — 'If forwards realize' shows implied future P&L. 5. **Carry and roll calculation** — how much a bond earns if forwards realize. Worked example: Verdalia Global Bond Fund analyzes 1-year forward 2-year rate of 4.20% vs current 2-year spot 3.85%. Using Fed's ACM term premium estimate (~35bps on 2Y), 'true' expected 2-year spot in one year ≈ 4.20% − 0.35% = 3.85%. Fund concludes market expects relatively stable 2-year rates and any bond position profiting from rate stability has positive expected value. ```mermaid graph LR A[Forward Rate] --> B[Expected Future
Spot Rate] A --> C[Term
Premium] B -.combine.-> A C -.combine.-> A ``` **CFA test**: Forward rates are breakeven rates — if they realize, you're indifferent between rolling short bonds and holding long bonds.

What does the forward curve tell us about future rate expectations?

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