罗斯公司理财第六版习题答案第5章.doc

Concept Questions◆Define pure discount bonds, level-coupon bonds, and consols.A pure discount bond is one that makes no intervening interest payments. One receives a single lump sum payment at maturity. A level-coupon bond is a combination of an annuity and a lump sum at maturity. A consol is a bond that makes interest payments forever.◆Contrast the state interest rate and the effective annual interest rate for bonds paying semi-annual interest.Effective annual interest rate on a bond takes into account two periods of compounding per year received on the coupon payments. The state rate does not take this into account.◆What is the relationship between interest rates and bond prices?There is an inverse relationship. When one goes up, the other goes down.◆How does one calculate the yield to maturity on a bond?One finds the discount rate that equates the promised future cash flows with the price of the bond.◆What are the three factors determining a firm's P/E ratio?Today's expectations of future growth opportunities.The discount rate. The accounting method.◆What is the closing price of General Data?The closing price of General Data is 6 3/16.◆What is the PE of General House?The PE of General House is 29.◆What is the annual dividend of General Host?The annual dividend of General Host is zero.Concept Questions - Appendix To Chapter 5◆What is the difference between a spot interest rate and the yield to maturity?The yield to maturity is the geometric average of the spot rates during the life of the bond.◆Define the forward rate.Given a one-year bond and a two-year bond, one knows the spot rates for both. The forward rate is the rate of return implicit on a one-year bond purchased in the second year that would equate the terminal wealth of purchasing the one-year bond today and another in one year with that of the two-year bond.◆What is the relationship between the one-year spot rate, the two-year spot rate and the forward rate over the second year?The forward rate f2 = [(1+r2)2 /(1+r1 )] - 1◆What is the expectation hypothesis?Investors set interest rates such that the forward rate over a given period equals the spot rate for that period.◆What is the liquidity-preference hypothesis?This hypothesis maintains that investors require a risk premium for holding longer-term bonds (i.e. they prefer to be liquid or short-term investors). This implies that the market sets the forward rate for a given period above the expected spot rate for that period.Questions And ProblemsHow to Value Bonds5.1 What is the present value of a 10-year, pure discount bond that pays $1,000 at maturity and is priced to yield the following rates?a. 5 percentb. 10 percentc. 15 percentSolutions a. $1,000 / 1.0510 = $613.91 b. $1,000 / 1.1010 = $385.54 c. $1,000 / 1.1510 = $247.185.2 Microhard has issued a bond with the following characteristics:Principal: $1,000Term to maturity: 20 yearsCoupon rate: 8 percentSemiannual paymentsCalculate the price of the Microhard bond if the stated annual interest rate is:a. 8 percentb. 10 percentc. 6 percentSolutions The amount of the semi-annual interest payment is $40 (=$1,000 ´ 0.08 / 2). There are a total of 40 periods; i.e., two half years in each of the twenty years in the term to maturity. The annuity factor tables can be used to price these bonds. The appropriate discount rate to use is the semi-annual rate. That rate is simply the annual rate divided by two. Thus, for part b the rate to be used is 5% and for part c is it 3%. a. $40 (19.7928) + $1,000 / 1.0440 = $1,000 Notice that whenever the coupon rate and the market rate are the same, the bond is priced at par. b. $40 (17.1591) + $1,000 / 1.0540 = $828.41 Notice that whenever the coupon rate is below the market rate, the bond is priced below par. c. $40 (23.1148) + $1,000 / 1.0340 = $1,231.15 Notice that whenever the coupon rate is above the market rate, the bond is priced above par.5.3 Consider a bond with a face value of $1,000. The coupon is paid semiannually and the market interest rate (effective annual interest rate) is 12 percent. How much would you pay for the bond if a. the coupon rate is 8 percent and the remaining time to maturity is 20 years?b. the coupon rate is 10 percent and the remaining time to maturity is 15 years?Solutions Semi-annual discount factor = (1.12)1/2 - 1 = 0.05830 = 5.83%a. Price = $40 + $1,000 / 1.058340 = $614.98 + $103.67 = $718.65 b. Price = $50 + $1,000 / 1.058330 = $700.94 + $182.70 = $883.645.4 Pettit Trucking has issued an 8-percent, 20-year bond that pays interest semiannually. If the market prices the bond to yield an effective annual rate of 10 percent, what is the price of the bond?Solutions Effective annual rate of 10%: Semi-annual discount factor = (1.1)0.5 - 1 = 0.04881 = 4.881% Price = $40 + $1,000 / 1.0。