Spread MeasuresMedium

G-spread, I-spread, Z-spread, asset-swap spread, OAS, discount margin — six ways to answer one question: how much extra am I paid for this credit?

5 min read · 867 words · Updated

Why one bond has six spreads

"The bond trades 180 over" sounds precise — until you ask: over what? Over a single government bond? Over the swap curve? Over the whole curve, point by point? Each convention answers a slightly different question, and desks quote them interchangeably enough that knowing the differences is table stakes.

One corporate bond, three reference curves: the gaps to the government curve, the swap curve, and the whole curve point-by-point are different spread measures.
Bond maturityCorporate bondSwap curveGovernment curveMaturityYield

Point at a line to read what it is doing.

How do I read this chart?

Maturity across, yield up. Three curves, and the distances between them are what get traded. A spread is meaningless without saying which curve it is measured against and at what maturity.

Where this is explained properly:

The axes carry no scale on purpose. Every line here is a stylised shape drawn to show a mechanism, so there is no number to read off one — and any figure taken from it would be invented.

The family, from crude to refined

  • G-spread — bond yield minus the interpolated government yield at the same maturity. Simple, universal, and blind to curve shape between the two points.
  • I-spread — bond yield minus the swap rate at the same maturity. The corporate-desk default, since credit hedges live in swap-land.
  • Z-spread — the constant spread that, added to every point of the reference (swap/zero) curve, reprices the bond exactly:
$$ P \;=\; \sum_{t} \frac{CF_t}{\big(1 + z_t + Z\big)^{t}} \qquad \text{solve for the single } Z $$
What the symbols mean
  • Pa price, or a present value
  • ta point in time
  • Cthe price of a call option
  • Fthe forward or futures price
  • Because it discounts each cash flow at its own curve point plus Z, it respects curve shape — the workhorse for anything with meaningful coupons or unusual cash-flow timing. On a flat curve, Z-spread ≈ I-spread; the steeper the curve, the more they diverge.
  • Asset-swap spread (ASW) — the spread you'd actually receive above the floating rate if you bought the bond and swapped its fixed coupons to floating in an asset-swap package. A traded price, not just a calculation: it embeds the bond's price premium/discount (par-par ASW funds the difference at the floating leg) and is the natural measure for bank books that fund at floating rates.
  • OAS (option-adjusted spread) — Z-spread's model-dependent sibling for bonds with embedded options (MBS, callables): run rate scenarios, value the borrower's option, subtract it. What remains is compensation for credit and liquidity only. The gap Z − OAS is the option's cost in spread terms — for current-coupon MBS often the majority of the visible spread.
  • Discount margin (DM) — the floater's version: the constant margin over the projected reference rate that reprices an FRN or loan to its price. Loans and CLO tranches quote in DM.

Interactive: Z-spread, I-spread & G-spreadHard

One bond, three spread measures side by side. The reference curve is flat here (one swap rate, one government yield) — enough to see how the measures relate; real desks feed in the whole curve.

Yield to maturity
—
Z-spread (flat curve)
—
I-spread
—
G-spread
—

With a flat curve, Z and I nearly coincide — the daylight between them in real markets is curve shape. Feed the same bond into the CDS–bond basis tool to complete the picture: bond spread vs. derivative spread.

Choosing the right measure — the desk rules

  • Quick relative value between similar bullets: G- or I-spread — fast, good enough.
  • Different coupons, amortising structures, off-market prices: Z-spread — the cash-flow-faithful measure.
  • Anything callable, puttable or prepayable: OAS, or you're paying yourself the borrower's option and calling it yield.
  • Floaters, loans, CLO paper: discount margin.
  • Bank funding view / swapped-to-floating buyers: asset-swap spread — because it's what you can actually lock in.
  • Against the CDS market: the basis — bond spread minus CDS premium, the arbitrage tension between cash and derivative.

Reading spreads like a professional

  • Spread ≠ credit risk alone: it bundles expected default loss, a risk premium, liquidity and (uncorrected) option value. In crises the liquidity component dominates — 2008's "spreads at depression levels" partly priced the inability to sell anything, at any spread.
  • Swap-spread quirks: government yields have traded above swap rates at times (negative swap spreads in long USD) — G- and I-spreads then rank bonds differently; know which your screen shows.
  • Spread duration is the risk that goes with all of this — the calculator converts any of these spreads' moves into P&L.
  • The pull of conventions: indices quote OAS, loan markets quote DM at a price ("S+350 at 99"), bond desks quote I-spread, and the same instrument can appear 30bp apart across screens showing different measures. The first question is always: spread over what?

Information and education only. This page explains a mechanism in general terms, using simplified textbook models and illustrative figures. It is not advice, not a recommendation, and not a valuation you can rely on. Conventions and rules differ by market and jurisdiction and change over time.

Information and education only. Every page, figure and calculator on this site exists to explain how financial instruments work. Nothing here is investment, tax or legal advice, a recommendation, or a valuation you can rely on. Full disclaimer