Book 4_Fixed_READING 55_YIELD-AND-YIELD-SPREAD-MEASURES-FOR-FIXED-RATE-BONDS Flashcards
The effective yield of a bond
depends on its periodicity, or frequency of coupon payments.
For an annual-pay bond
the effective yield is equal to the yield to maturity (YTM)
For bonds with greater periodicity
the effective yield is greater than the YTM.
Annual yield = (1 + YTM/n)^n - 1
the yield to maturity (YTM)
is the discount rate that makes the present value of a bond’s cash flows equal to its price.
A YTM quoted on a semiannual bond basis
is two times the semiannual discount rate.
Bond yields that follow street convention
use the stated coupon payment dates
A true yield
accounts for coupon payments that are delayed by weekends or holidays and may be slightly lower than a street convention yield
Current yield
= Annual cash coupon/bond price
Simple yield
= (Annual cash coupon+straight-line amortization of a discount/premium)/bond price
For a callable bond, a yield to call may be calculated
- using each of its call dates and prices.
- The lowest of these yields or its YTM is a callable bond’s yield to worst. (when maturity)
an option-adjusted yield
- which represents the yield that the bond would be offering if it were not callable. (“removing” the option)
- Straight bond value = callable bond value + call option value
A yield spread or benchmark spread
is the difference between a bond’s yield and a benchmark yield or yield curve
- If the benchmark is a government bond yield, the spread is known as a government spread or G-spread.
- If the benchmark is a swap rate, the spread is known as an interpolated spread or I-spread (interbank rate)
A zero-volatility spread or Z-spread
is the percentage spread that must be added to each spot rate on the benchmark yield curve to make the present value of a bond’s cash flows equal to its price
An option-adjusted spread (OAS)
- is used for bonds with embedded options and represents the spread the bond would offer if it had no embedded options.
- For a callable bond, the OAS is equal to the Z-spread minus the call option value in basis points.