(Bond selection) Consider the four bonds having annual payments as shown in Table 39 They are traded to produce a 15% yield (a) Determine the price of each bond (b) Determine the duration of each bond (not the modified duration) (c) Which bond is most sensitive to a change in yield? (d) Suppose you owe $2,000 at the end of 2 years Concern about interest rate risk sug- gests that a portfolio consisting of the bonds and the obligation should be immunized If VA, VB, VC, and V are the total values of bonds purchased of types A, B, C, and D, respectively, what are the necessary constraints to implement the immunization? [Hint There are two equations (Do not solve )]

(Bond selection) Consider the four bonds having annual payments as shown in Table 39 They are traded to produce a 15% yield (a) Determine the price of each bond (b) Determine the duration of each bond (not the modified duration) (c) Which bond is most sensitive to a change in yield? (d) Suppose you owe $2,000 at the end of 2 years Concern about interest rate risk sug- gests that a portfolio consisting of the bonds and the obligation should be immunized If VA, VB, VC, and V are the total values of bonds purchased of types A, B, C, and D, respectively, what are the necessary constraints to implement the immunization? [Hint There are two equations (Do not solve )]

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Consider the following bonds. Bond A B с D Coupon Rate (annual payments) 0.0% 0.0% 3.5% 7.8% Maturity (years) 10 15 15 10 Which of the bonds A to D is most sensitive to a 1% drop in interest rates from 6.7% to 5.7%? Which bond is least sensitive? Provide an intuitive explanation for your answer.
The following information about bonds A, B, C, and D are given. Assume that bond prices admit noarbitrage opportunities. What is the convexity of Bond D?Cash Flow at the end ofBond Price Year 1 Year 2 Year 3A 91 100 0 0B 86 0 100 0C 78 0 0 100D ? 5 5 105
Which statements is INCORRECT? Treasury bonds (T-bond) have maturities up to 30 years A coupon bond is called a discount bond when its market price is less than its fair price A bond's yield to maturity (YTM) is the return an investor earns if holding the bond until its maturity Treasury bills (T-bill) have maturities up to one year
Calculate the purchase price of the following bonds. Indicate whether the bonds are priced at a discount, at par or at a premium. Give your answers in dollars and cents to the nearest cent. Face Value Coupon Rate Years to Maturity Market Rate a) $100 r = 6.75% 5 j2 = 6.75% b) $1,000 r = 8% 11 j2 = 6.25% c) $10,000 r = 7% 20 j2 = 8.75% Quoted coupon rates and market rates are nominal annual rates compounded semi-annually. a)Price = $ This bond is priced at:a discountpara premium b)Price = $ This bond is priced at:a discountpara premium c)Price = $ This bond is priced at:a discountpara premium
Do not use excel, use formulas to compute the question You have two bonds, Bond A and bond B: A 3-year zero-coupon bond with face value of $1,000 with a yield-to-maturity of 4%. A 6-year bond with an annual coupon payment C (to be paid out starting a year from now), a face value of $1,000 and yield-to-maturity of 5%. Assume that compounding takes place annually. If the price of Bond A is equal to the price of Bond B, what is the value of Bond B’s coupon payments (C)?
Conceptual Overview: Explore the value of fixed-interest coupon bonds of different terms. This graph shows the value of 10% coupon bonds of different terms across differing market interest rates. Each bond pays INT = $100 at the end of each year and returns M = $1,000 at maturity. For comparison, the blue line depicts the value of a one-year bond. The term of the other bond in years may be changed using the slider. Drag on the graph to change the current market interest rate (rd) at which the bond (orange curve) is evaluated. ∑ t = 1 Y r s I N T ( 1 + r d ) + M ( 1 + r d ) = ∑ t = 1 1 5 $ 1 0 0 ( 1 + 0 . 1 0 0 ) + $ 1 0 0 0 ( 1 + 0 . 1 0 0 ) = 1 , 0 0 0 ∑ t=1 Yrs (1+r d ) t INT + (1+r d ) Yrs M =∑ t=1 15 (1+0.100) t $100 + (1+0.100) 15 $1000 =1,000 ∑t=1Yrs(1+rd)tINT+(1+rd)YrsM=∑t=115(1+0.000)t$100+(1+0.000)15$1000=2,500. 1. What is the value of a 15-year 10% $1,000 coupon bond when the market interest rate is 15%? $421$708$1,000$1,5192. What is the value of a 12-year 10% $1,000…
Exploring Finance: Coupon Bonds. Coupon Bonds Conceptual Overview: Explore the value of fixed-interest coupon bonds of different terms. This graph shows the value of 10% coupon bonds of different terms across differing market interest rates. Each bond pays INT = $100 at the end of each year and returns M = $1,000 at maturity. For comparison, the blue line depicts the value of a one-year bond. The term of the other bond in years may be changed using the slider. Drag on the graph to change the current market interest rate (rd) at which the bond (orange curve) is evaluated. 5. For a 10%, $1,000 coupon bond, a longer term bond (say, 15 years) is: less affected by changes in the market rate than a 1-year bond. affected the same by changes in the market rate than a 1-year bond. more affected by changes in the market rate than a 1-year bond. Cannot be determined.
(c) Re-calculate the prices of the bonds if the required return falls to 9%.(d) Explain how underwriters use the overallotment option in IPOs.
Suppose the current price of the bond is $95, the YTM is 4%, and the duration of the bond is 9. If YTM decrease from 4% to 3.9%, approximate the change in price using duration of the bond. Price would increase by ____%
The following table summarizes current prices of various zero-coupon bonds (expressed as a percentage of face value): Bond A B C D Maturity (years) 1 2 3 4 Price (per $100 face value) 96.62 82.56 82.69 83.26 E.G for bond A it will mature in 1 year and has a current bond price of $96.62. For bond B, it will mature in 2 years and had a current bond price of $82.56 Assume the YTM for each bond doesn't change over time. After two years, what is the price for bond D? 1. bond A 2. bond B 3. bond C 4. Bond D
Question Given the following information about a bond, calculate the modified duration of the bond. i) The term-to-maturity is two years. ii) Coupons are payable annually at 5%. iii) The bond is trading at par. Possible Answers A B D 1.859 с 1.928 E 1.881 1.952 Cannot be determined since the yield rate i is not provided.
Let's denote the price of a nonmaturing bond (called a consol) as P. The equation that indicates this price is Pn =-, where I is the annual net income the bond generates and r is the nominal market interest rate. a. Suppose that a bond promises the holder $200 per year forever. The nominal market interest rate is 6 percent. Calculate the bond's current price: S. (Round your answer to the nearest whole dollar.)

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