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1、CHAPTER 14Bond Prices and YieldsBonds are debt. Issuers are borrowers and holders are creditors.The indenture is the contract between the issuer and the bondholder.The indenture gives the coupon rate, maturity date, and par value.Bond Characteristics2Face or par value is typically $1000; this is the

2、 principal repaid at maturity.The coupon rate determines the interest payment.Interest is usually paid semiannually.The coupon rate can be zero.Interest payments are called “coupon payments”.Bond Characteristics3U.S. Treasury BondsBonds and notes may be purchased directly from the Treasury.Denominat

3、ion can be as small as $100, but $1,000 is more common.Bid price of 100:08 means 100 8/32 or $1002.50Note maturity is 1-10 yearsBond maturity is 10-30 years4Corporate BondsCallable bonds can be repurchased before the maturity date.Convertible bonds can be exchanged for shares of the firms common sto

4、ck.Puttable bonds give the bondholder the option to retire or extend the bond.Floating rate bonds have an adjustable coupon rate5Preferred StockDividends are paid in perpetuity.Nonpayment of dividends does not mean bankruptcy.Preferred dividends are paid before common.No tax break.EquityFixed income

5、6Innovation in the Bond MarketInverse FloatersAsset-Backed BondsCatastrophe BondsIndexed BondsTreasury Inflation Protected Securities (TIPS).7Table 14.1 Principal and Interest Payments for a Treasury Inflation Protected Security8PB =Price of the bondCt = interest or coupon paymentsT = number of peri

6、ods to maturity r = semi-annual discount rate or the semi-annual yield to maturityBond Pricing9Price of a 30 year, 8% coupon bond.Market rate of interest is 10%. Example 14.2: Bond Pricing10Prices and yields (required rates of return) have an inverse relationshipThe bond price curve (Figure 14.3) is

7、 convex.The longer the maturity, the more sensitive the bonds price to changes in market interest rates.Bond Prices and Yields11Figure 14.3 The Inverse Relationship Between Bond Prices and Yields12Table 14.2 Bond Prices at Different Interest Rates13Yield to MaturityInterest rate that makes the prese

8、nt value of the bonds payments equal to its price is the YTM.Solve the bond formula for r14Yield to Maturity ExampleSuppose an 8% coupon, 30 year bond is selling for $1276.76. What is its average rate of return?r = 3% per half yearBond equivalent yield = 6%EAR = (1.03)2)-1=6.09%15YTM vs. Current Yie

9、ldYTMThe YTM is the bonds internal rate of return.YTM is the interest rate that makes the present value of a bonds payments equal to its price.YTM assumes that all bond coupons can be reinvested at the YTM rate.Current YieldThe current yield is the bonds annual coupon payment divided by the bond pri

10、ce.For bonds selling at a premium, coupon rate current yieldYTM.For discount bonds, relationships are reversed.16Yield to CallIf interest rates fall, price of straight bond can rise considerably.The price of the callable bond is flat over a range of low interest rates because the risk of repurchase

11、or call is high.When interest rates are high, the risk of call is negligible and the values of the straight and the callable bond converge.17Figure 14.4 Bond Prices: Callable and Straight Debt18Realized Yield versus YTMReinvestment AssumptionsHolding Period ReturnChanges in rates affect returnsReinv

12、estment of coupon paymentsChange in price of the bond19Figure 14.5 Growth of Invested Funds20Figure 14.6 Prices over Time of 30-Year Maturity, 6.5% Coupon Bonds21YTM vs. HPRYTMYTM is the average return if the bond is held to maturity.YTM depends on coupon rate, maturity, and par value.All of these a

13、re readily observable.HPRHPR is the rate of return over a particular investment period.HPR depends on the bonds price at the end of the holding period, an unknown future value.HPR can only be forecasted.22Figure 14.7 The Price of a 30-Year Zero-Coupon Bond over Time23Rating companies:Moodys Investor

14、 Service, Standard & Poors, FitchRating CategoriesHighest rating is AAA or AaaInvestment grade bonds are rated BBB or Baa and aboveSpeculative grade/junk bonds have ratings below BBB or Baa. Default Risk and Bond Pricing24Coverage ratiosLeverage ratiosLiquidity ratiosProfitability ratiosCash flow to

15、 debtFactors Used by Rating Companies25Table 14.3 Financial Ratios and Default Risk by Rating Class, Long-Term Debt26Figure 14.9 Discriminant Analysis27Sinking funds a way to call bonds earlySubordination of future debt restrict additional borrowingDividend restrictions force firm to retain assets r

16、ather than paying them out to shareholdersCollateral a particular asset bondholders receive if the firm defaultsProtection Against Default28Default Risk and YieldThe risk structure of interest rates refers to the pattern of default premiums.There is a difference between the yield based on expected c

17、ash flows and yield based on promised cash flows.The difference between the expected YTM and the promised YTM is the default risk premium.29Figure 14.11 Yield Spreads 30Credit Default SwapsA credit default swap (CDS) acts like an insurance policy on the default risk of a corporate bond or loan.CDS b

18、uyer pays annual premiums.CDS issuer agrees to buy the bond in a default or pay the difference between par and market values to the CDS buyer.31Credit Default SwapsInstitutional bondholders, e.g. banks, used CDS to enhance creditworthiness of their loan portfolios, to manufacture AAA debt.CDS can also be used to speculate that bond prices will fall.This means there can be more CDS outstanding than there are bonds to insure!32Figure 14.12 Prices of Credit Default Swaps33Credit Risk and Collateralized Debt Obligations (CDOs)Major mechanism to reallocat

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