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The Z-spread of a bond is the number of basis points (bp, or 0.01%) that one needs to add to the Treasury yield curve (or technically to Treasury forward rates) so that the Net present value of the bond cash flows (using the adjusted yield curve) equals the market price of the bond (including accrued interest). The spread is calculated iteratively.
Given: 0.5-year spot rate, Z1 = 4%, and 1-year spot rate, Z2 = 4.3% (we can get these rates from T-Bills which are zero-coupon); and the par rate on a 1.5-year semi-annual coupon bond, R3 = 4.5%. We then use these rates to calculate the 1.5 year spot rate. We solve the 1.5 year spot rate, Z3, by the formula below:
For bonds with fixed cash flows a price change can come from two sources: The passage of time (convergence towards par). This is of course totally predictable, and hence not a risk. A change in the yield. This can be due to a change in the benchmark yield, and/or change in the yield spread.
In the formulas this would be expressed as 0.0525. Date1 (Y1.M1.D1) Starting date for the accrual. It is usually the coupon payment date preceding Date2. Date2 (Y2.M2.D2) Date through which interest is being accrued. You could word this as the "to" date, with Date1 as the "from" date. For a bond trade, it is the settlement date of the trade.
For example, if a risk-free 10-year Treasury note is currently yielding 5% while junk bonds with the same duration are averaging 7%, then the spread between Treasuries and junk bonds is 2%. If that spread widens to 4% (increasing the junk bond yield to 9%), then the market is forecasting a greater risk of default, probably because of weaker ...
For instance, a bond paying a 10% annual coupon will always pay 10% of its face value to the owner each year, even if there is no change in market conditions. However, the effective yield on the bond may well be different, since the market price of the bond is usually different from the face value. Yield return is calculated from
Floating rate notes (FRNs) are bonds that have a variable coupon, equal to a money market reference rate, like SOFR or federal funds rate, plus a quoted spread (also known as quoted margin). The spread is a rate that remains constant. Almost all FRNs have quarterly coupons, i.e. they pay out interest every three months.
The underwriting spread is the difference between the amount paid by the underwriting group in a new issue of securities and the price at which securities are offered for sale to the public. It is the underwriter's gross profit margin , usually expressed in points per unit of sale ( bond or stock ).