2.2.1.3. Valuing Bonds Flashcards
Definition | Maturity Date
final payment date
Definiton| Term of the bond
the time remaining until the repayment date
Definition | Coupons
the promised interest payments of a bond
Definition | Face Value (FV)
the notional amoint we use to compte the interest payments
Definition | Yield to Maturity (YTM)
IRR - Internal Rate of Return - of an investment in an bond
Definition | Coupon Payment (CPN)
Coupon Rate * Face Value / Number of COupon Payments per Year
What is a Zero Coupon Bond?
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- a bond that does not make coupon payments
- they trade at a discount in oder to compensate for the missing coupon payments
- also called pure discount bonds
Zero Coupon Bonds | The IRR of an investment in an bond is given a special name, the…
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- Yield to Maturity (YTM) of just the yield (y)
- YTM of a bond is the discount rate that sets the present value of the premised bond payments equal to the current market price P of the bonds
- the risk-free interest rate equals the yield of a default-free bond
- yield curve also referred to as the zero coupon yield curve
Coupon bonds…
…pay face value at maturity and make regular coupon interest payments
The yield to maturity y for a bond is…
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… the IRR of investing in the bond and holding it to maturity
… the single discount rate that equates the present value of the bond´s remaining cash flows to its current price
- When calculating the yield to maturity of a coupon bond, we compute…
- This yield is typically….
- … the yield that will be a rate per coupon interval
- …stated as an annual rate by multiplying it by the number of coupons per year, thereby converting it to an APR with the same compounding interval as the coupon rate
Discounts and Premiums
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- coupon bonds may trade at a discount, at a premium (a price greater than their face value) or at par (price equal to their face value)
- most issuers of bonds choose a coupon rate so that the bonds will initially trade at or very close to par
(zero-coupon rates at discount, prior to maturity, their price is less than their face value)
As Interest rates in the economy fluctuate, the yields that investors demand to invest in bonds…
… will also change
A higher yield to maturity implies….
Therefore, as interest rates and bond yields rise, bond prices…
…. a higher discount rate for a bonds remaining cash flows, reducing their present value and hence the bonds price
… will fall, and vice versa
Corporate bonds are…
… bonds issues by corporations
Corporate bonds and Credit Risk
Credit risk is the risk of default, i.e. the issuer might not pay back the full amount promised in the bond prospectus
The yield to maturity of a defaultable bonds….
…exceeds the expected return of investing in the bonds
The bonds expected return is equal to…
and…
Moreover, a higher yield to maturity…
….the firms debt cost of capital
…. is less than the yield to maturity if there is a risk of default
…. does not necessarily imply that a bonds expected return is higher
Investment Grade Rating
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- important for company
- harder time to get funding if only spectulative
Investment Grade Bonds
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Speculative Bonds
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- bonds in the top four categories
- low-default risk
- aka junk-bonds or high-yield bonds
- likelihood of default is high
Rating of Bonds depends on…
Thus, debt issues with a low-.priority claim in bankruptcy…
- risk of bankruptcy as well as the bondholders ability to lay claim to the firms assets in the event of such bankruptcy
- will have a lower rating than issues from the same company that have a high-priority claim in bankruptcy of that are backed by specific asset such as a building or a plant
Ofter, insitutional investors are only allowed to buy…
This usually leads to…
…. investmanet grade bond
… a sharp increase in financing costs as soon as a company no longer qualifies as “investment-grade”
Default Spread / Credit Spread | Definition
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- the difference between the yields of the corporate bonds and the treasury yields
- credit spread is high for bonds with low ratings and therefore a greater likelihood of default
- the delta gets bigger, bc the longer you lend the more time to mess up/ the higher the risk