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Asset class
Rates Derivatives
The largest derivatives market on earth: instruments that transfer interest-rate risk between counterparties.
The market at a glance
Interest-rate derivatives are the largest financial market in existence: over $500 trillion of notional outstanding — several times world GDP. The number sounds absurd until you realise what it does: every bank hedging its loan book, every corporate fixing its borrowing costs, every pension fund matching liabilities and every mortgage system on earth routes its rate risk through these contracts. Notional measures traffic, not risk — but the traffic is the global economy's.
Since the 2008 reforms, this market runs through central clearing (LCH clears the majority of global swaps) with daily margining, and since the LIBOR transition it prices off overnight risk-free rates (SOFR, €STR, SONIA). It is the most institutionally mature derivatives market — and the one where central banks' intentions are priced second by second.
The curve is the product
Everything here trades pieces of one object: the forward curve of interest rates. An OIS reads central-bank expectations; a FRA isolates one future period; an interest rate swap bundles a strip of them; STIR futures list the same forwards on-exchange; bond futures package long-maturity risk with a delivery puzzle. On top sits the options layer — swaptions and caps/floors — pricing how uncertain those forwards are. Inflation swaps split nominal rates into real rates plus breakeven inflation.
You pay fixed on a swap struck at K. Rates move to S — what's your position worth, and how sensitive is it?
Annuity factor
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DV01
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Payer MTM
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Receiver MTM
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Annual payments, flat continuous discounting — the textbook skeleton of \(V = (S-K) \times A \times N\). Real desks bootstrap full curves; the intuition is identical.
Reading central banks through this market
When headlines say "markets price a 70% chance of a cut", the source is meeting-dated OIS and STIR futures. The mechanics are simple division: if the next-meeting OIS sits 17.5bp below the current rate and a cut is 25bp, the implied probability is 70%. The OIS page walks through it — after which you'll never read a Fed-watching article the same way.
Concepts to master
DV01 thinking — positions are dollar-per-basis-point numbers, aggregated across the curve in maturity buckets.
Forwards, not spots — every curve trade is a claim that some forward rate is wrong. Decompose before you trade.
Convexity is everywhere — futures vs. swaps, cash-settled vs. physical swaptions, long bonds vs. short: second-order terms are first-order money at institutional size.
Vol as an asset — the swaption grid prices rate uncertainty; its level (watch 1y10y normal vol) is macro's fear gauge.
Interactive: implied forward ratePractitioner
Two points on the yield curve always contain a hidden third number: the rate the market implies for the period between them — the raw material of every FRA and futures quote.
Implied forward t₁ → t₂
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Curve slope (r₂ − r₁)
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Reading
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Simple-rate approximation: f = (r₂t₂ − r₁t₁)/(t₂ − t₁). An inverted curve puts the forward below both spot rates — the market pricing cuts.
Go deeper
Deep diveSpot curve vs. forward curve
Inside every spot curve hides the forward curve — the rates the market implies for future periods. Swaps, FRAs and futures price off the forwards, not today's rates.
An upward-sloping spot curve implies forwards above it — the rates you can lock in today for future periods.
Mechanics: the 2-year rate averages year one and implied year two — an upward slope forces forwards above spot.
Forwards are the break-even path for policy: receive fixed profits only if rates undershoot them.
"Rates will rise" is not a trade — "rates will rise by more than the forwards already say" is.
Deep diveDuration risk grows with maturity
DV01 — money per basis point — grows almost linearly with maturity, which is why the long end is where rates P&L and rates accidents both live.
DV01 versus maturity: the long end of the curve is where a basis point costs real money.
Desks think in DV01, never notionals: a position is "long 50k a basis point", whatever maturities deliver it.
The long end concentrates the drama — from the UK's 2022 LDI spiral to every "durationrally" headline.
Miniature version above: the swap calculator's annuity × notional × 0.0001 is the whole idea.
Deep diveAfter LIBOR: the reference-rate reboot
For forty years, floating legs fixed against LIBOR — a survey of what banks said they'd pay. Manipulation killed it; by mid-2023 the biggest contract migration in financial history was done.
The replacements — SOFR (USD, from repo trades), €STR, SONIA — are computed from real transactions, overnight.
Compounded-in-arrears: a quarter's interest is now known at its end, not its start — systems and habits had to turn around.
The credit component vanished: LIBOR embedded bank risk, SOFR is nearly risk-free — the gap resurfaces in the basis market.
Fallback spreads froze history: 26.16bp for 3-month USD, embedded permanently in transitioned books.
Euribor survives — the euro area still runs on a term rate with credit content, the last major two-curve market.
Deep diveMilestones: how rates trading grew up
From one improvised deal to the world's biggest derivatives market:
1981 — IBM and the World Bank improvise the first currency/rate swap: the OTC era begins.
1985 — ISDA founded; the Master Agreement makes swaps legally industrial.
1998 — LTCM: convergence trades plus leverage nearly take the system down; counterparty risk enters the vocabulary.
2008 — LIBOR-OIS explodes from 10bp to 365bp; the single-curve world dies (see the basis swap page).
2012 — the LIBOR scandal: fines, convictions, and a death sentence for the benchmark.
2020–23 — the great transition: SOFR/€STR/SONIA replace LIBOR across hundreds of trillions.
2022 — UK LDI crisis: pension hedges meet variation margin; the Bank of England intervenes in gilts.
Interactive: FRA settlementPractitioner
A forward rate agreement locks a future interest rate today. At fixing, only the difference changes hands — discounted, because it's paid at the period's start.
Settlement (discounted)
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Who receives
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Undiscounted difference
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Settlement = N·(L−F)·τ / (1+L·τ). The buyer profits when rates fix above the agreed rate — a one-period swap, which is exactly what a swap is a strip of.
Deep diveWho runs this market
Clearing houses: LCH SwapClear clears the overwhelming majority of cleared interest-rate swaps globally; CME clears the US listed and a share of the swap market. Post-2008 rules pushed standardised swaps here by design.
ISDA: writes the Master Agreement and definitions every OTC trade hangs from — the market's constitution, and the reason a swap is enforceable at all.
Benchmark administrators: the New York Fed publishes SOFR, the ECB publishes €STR, the Bank of England SONIA — all computed from actual transactions since the LIBOR era ended.
Venues and brokers: Tradeweb and Bloomberg (SEFs/MTFs) for electronic execution; interdealer brokers (TP ICAP, BGC) for the large and the unusual.
Dealers: a concentrated group of global banks warehouses the risk; their DV01 positioning is a market factor in its own right.
Where the data lives: the BIS semi-annual derivatives statistics and the DTCC swap data repositories publish free, authoritative volume and notional data.
Deep diveNumbers & conventions worth memorising
Item
Convention
Market size
Interest-rate contracts are the largest OTC derivatives category by notional — a multiple of every other asset class combined
USD swap
Fixed leg annual, actual/360 against compounded SOFR; the old semi-annual 30/360 convention belongs to the LIBOR era
EUR swap
Fixed leg annual 30/360 against €STR or Euribor
Key dates
IMM dates — the third Wednesday of March, June, September and December — anchor futures and many swaps
Quoting
Swaps in fixed rate; futures in price (100 minus rate); options in volatility or premium
Risk unit
DV01 — money per basis point. Notional describes the trade's size; DV01 describes its risk
Collateral
Cleared trades post variation margin daily in cash, discounted at the overnight rate
The mental model that survives every convention change: a swap is a bond position without the funding — receiving fixed behaves like owning a bond, paying fixed like being short one.
Analysis
AnalysisThe analyst's checklist
Which reference rate, on which convention? Compounded overnight or a term rate, act/360 or 30/360 — conventions change the cash flows, not just the paperwork.
Level, slope or curvature? Decide which of the three you are betting on and build the trade so the other two cancel.
What is the DV01? Notional describes ambition; DV01 describes exposure.
Am I trading against the forwards? Profit needs rates to differ from the path already priced, not from today's level.
Can I fund the path? Variation margin is due daily, in cash, regardless of whether the position is ultimately right.
Cleared or bilateral? That determines margin, documentation and who you actually face if things go wrong.
AnalysisRed flags
Notional quoted as risk — a "$500m swap" says nothing until you know its DV01.
Hedges that create liquidity risk: the 2022 UK pension crisis was correct hedging that could not fund its own margin calls.
Assuming "floating is floating" — basis between reference rates is small until the week it is not.
A hedge that is free: zero-premium structures are financed by an option you sold; find it before signing.
Extrapolating from a flat curve — carry and roll vanish when the curve flattens, and many strategies quietly depend on them.
Legacy fallback language in old contracts: the fixed spreads from the LIBOR transition are permanent, and occasionally material.
Market mapWho is on the other side of your trade
Prices are made by participants with different jobs, different constraints and different reasons to trade. Knowing whose need you are meeting explains more about a market than any indicator.
Bank asset-liability desks are the structural payers and receivers, hedging deposit and mortgage books. Their flow is driven by balance-sheet shape, not by rate views.
Pension funds and insurers receive fixed at the long end to match liabilities — the dominant flow beyond twenty years in several currencies.
Mortgage hedgers in the US must buy duration when rates fall and sell when they rise, a convexity-driven flow that amplifies moves in the ten-year sector.
Macro funds express views on the policy path, mostly in the front end where the priced path is most explicit.
Clearing houses now sit between almost all of it, which changed the risk from bilateral credit to correlated margin calls.
Costly mistakesThe five mistakes that cost the most here
Not a list of ways to be clever — a list of the errors that recur, why each one is structural rather than careless, and which tool on this site settles it.
Confusing the forward with a forecast. A forward is a hedgeable price containing a term premium; it has historically been a poor predictor and remains the correct hedging rate.
Hedging notional instead of sensitivity. Match DV01, not face value. The swap calculator exists for exactly this.
Forgetting the swap outlives the hedged item. When the underlying exposure disappears, the swap does not — a live and unhedged position remains.
Assuming one interest rate. Discounting follows the collateral; forecasting follows the index. The basis between them is a real risk, not an academic detail.
Ignoring the cash-flow profile of the hedge. Daily variation margin against an item that pays years later is the Metallgesellschaft failure in one line.
Test yourself: five questions
Five quick questions on this asset class — checked entirely on your device, nothing stored or sent. Wrong answers come with explanations; the deep dives above hold every answer. For education only.
The right, not the obligation, to enter a swap at a fixed rate. Priced on the forward swap rate and discounted by the annuity of the underlying swap — the same annuity that gives a swap its DV01.
Annuity factor
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Payer swaption
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Receiver swaption
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Payer, in basis points
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Exercise probability
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Reading
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A payer swaption is a call on rates; a receiver is a put. Notice that the annuity — not the notional — is what scales the premium: a swaption on a 10-year swap is worth roughly twice one on a 5-year swap at the same rate, because there are twice as many payments to protect.
Concepts, comparisons and case studies about rates derivatives
Fixed vs. Floating RateSome background helpsCompareThe same borrower, the same maturity, two completely different risks
The Yield CurveSome background helpsConceptsOne line, drawn from overnight to 30 years — the bond market's forecast, the economy's mood ring, and a P&L engine…