Components of a bond
Coupons (what they can be based on and types - FRNs, ILBs)
Some bonds coupons are referenced to a published interest rate (SOFR) and change the coupon paid based on this.
Floating rate notes (FRNs) - bonds with variable coupon IR and nominal value based on published IRs
Index linked bonds - bonds that are based on inflation rate (e.g. CPI).
Yields
3 types of yield
=measure of % return provided by an investment.
3 ways to calculate yield
* Flat yield
* Gross redemption yield (GRY)
* Net redemption yield (NRY)
Flat yield and calculation
Only considers the coupon and ignores capital gains/losses if the bond is held to redemption.
Calculation
Flat yield= (annual coupon/price) X 100
e.g. 5% gilt at price £100 = (5/100) X 100 = 5% flat yield
Relationship between bonds and base interest rates
IR/bond price relationship = If IRs go up bond prices fall as investors would make more money from having money n savings than in bonds, reducing demand and in turn price
Gross redemption yield (GRY)/Yield to maturity (YTM)
Considers coupons and gains/losses due to maturity. Holding a bond to maturity represents a more complete view of return.
Add calculation from 2.6 and explaination of present value
Net redemption yield
Considers coupon, gains/losses made during the time period to maturity and the after tax cash flow of the bond (rather than gross cashflow). Good measure for tax paying investors holding bonds to maturity.
Modified duration
Lower coupon bonds tend to have a more volatile price due to IR fluctuations affecting their price. Also, Long dated bonds will be more responsive than short dated bonds
Modified duration shows volatility by showing the expected change in price given a specific change in IR.The higher the modified duration, the more the price will move.
Modified duration=approximate % change in the price of a bond as a result of a 1% change in IR.
Convertible Bonds
Give the holder the right but not obligation to convert bonds into a set number of ordinary shares.
Typically trade at a premium to the share value.
Only available on corp bonds
Conertible bonds - conversion ratio calculation
Conversion ratio=Nominal value/conversion price of shares
Conv. bonds are issued with the share price being set from the outset. The conversion share price will be adjusted to take into account bonus or rights issues.
E.g. Issuing company had a 1-1 bonus issue, conersion price would half and the conversion ratio would double.
Flat yield - calc and limitations
Flat yield %=(annual coupon rate/mkt price) X 100
Flat yield only considers coupon rate - ignores capital gans/losses, tax
Flat yield - limitations
Clean/flat prices
Clean price, claculation
Clean/flat prices = the bond’s price does not inculde the accrued interest related to the bond.
* On settlement dates (when interest is paid) bond price is the same as flat price.
* Between payment dates - actual price paid for the bond = flat price + accrued interest
* Clean/flat price + accrued interest = the dirty price
Accrued interest calculation
Accrued interest = Coupon payment X
(Number of days since last payment / Number of days between payments)
Bond dirty price tables
(see book diagram)
Assumes flat price remains constant (although it will probably fluctuate with IRs).
The bond price will steadily increase each day leading up to interest payment and then drops immediately following the payment.
Day count conversion (ACT/360 etc)
S
Spreads and pricing benchmarks - what are they expressed in
Spread = difference between 2 yields, expressed in basis points.
Used to compare instruments against a benchmark such as govt bonds
Common benchmarks for bonds
Swaps exchange floating rates for fixed rate bonds
Yield curve - overview
Many govt bond mkts have differing time periods until maturity. If you plot the gross redemption yield of the bonds on a graph (yield on y axis; time to maturity on x) it creates a yield curve.
It shows the yeild available to investors in govt bonds with different time horizons. AKA term structure of IRs - showing relationship of yeilds from the same issuer with different times to maturity.
Shows investors wanting a higher yeild on longer dated bonds to indicate the time they are exposed to the risk
Normal yield curve
physical- shows investors have a liquidity preference and will accept lower yeild for liquidity. This means they will want higher GRY for longer dated securities
inverted yield curve
physical- Yields on short term bonds exceed long term
* Indiciator of poor economic conditions to come or a reduction in IRs
* long term IRs expected to be lower tan short term as investors will want high returns for the securities they are holding now that could be impacted by a recession
Negative yields
Meant banks had to pay to leave their cash with the central bank = promotes lending=boosts economy
Cons of negative yields
Negative coupon bonds
early 2022 saw negative coupon bonds. Investors were willing to pay govs to lend them money to preserve most of their capital for the security.