hard · Debt Capital Markets pricing-yields-curve
A 6% semi-annual fixed-rate bond trades at a clean price of 108 (well above par) with 4 years remaining. A trader simultaneously computes its Z-spread (constant spread to the spot/zero curve) and its par-par asset-swap (ASW) spread off the same swap curve.
Assuming the curve is upward-sloping and the bond's credit is unchanged, which statement about the relationship between the two spreads — and the reason — is correct?
- The ASW spread exceeds the Z-spread, because the par-par structure pays the full 6% coupon stream against par-100 funding while the investor finances the above-par premium, concentrating the credit pickup over a smaller effective principal.
- The Z-spread exceeds the ASW spread, because the Z-spread discounts every cash flow at the higher long-end zero rates whereas the ASW spread is a single short-rate quantity that ignores curve shape.
- The two spreads are identical by construction, since both are defined as the constant margin over the same swap curve that reprices the bond to its market price of 108.
- The ASW spread is lower than the Z-spread, because paying away an 8-point premium at inception reduces the net coupon the asset-swap buyer can pass through to the floating leg.
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