Spread Measures

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?

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

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:
$$ P \;=\; \sum_{t} \frac{CF_t}{\big(1 + z_t + Z\big)^{t}} \qquad \text{solve for the single } Z $$
  • 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-spread

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?