Bond J has a coupon rate of 3 percent. Bond K has a coupon rate of 9 percent. Both bonds have 18 years to maturity, make semiannual payments, and have a face value of $1000 and a YTM of 6 percent. a. If interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds? What if rates suddenly fall by 2 percent instead? (Hint: % price change = 100% * (new price - old price)/old price) b. What does this problem tell you about the interest rate risk of lower coupon bonds?

Bond J has a coupon rate of 3 percent. Bond K has a coupon rate of 9 percent. Both bonds have 18 years to maturity, make semiannual payments, and have a face value of $1000 and a YTM of 6 percent. a. If interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds? What if rates suddenly fall by 2 percent instead? (Hint: % price change = 100% * (new price - old price)/old price) b. What does this problem tell you about the interest rate risk of lower coupon bonds?

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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PICK ONE: Explain why YOU: Suppose that 6 months after you purchase the bond, the market rate for interest on this type of bond falls to 7.00%. This will cause the (coupon / market price / par value) to (fall / rise). From the issuer’s perspective, the lower interest rate means that he or she would be (worse / better) off issuing new bonds at this lower rate than continuing to pay you 9%.
Both Bond Bill and Bond Ted have 11.8 percent coupons, make semiannual payments, and are priced at par value. Bond Bill has 7 years to maturity, whereas Bond Ted has 24 years to maturity. Both bonds have a par value of 1,000. a. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. If rates were to suddenly fall by 2 percent instead, what would be the percentage change in the price of these bonds? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
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A 20-year bond has a coupon rate of 8 percent, and another bond of the same maturity has a coupon rate of 15 percent. If the bonds are alike in all other respects, which will have the greater relative market price decline if interest rates increase sharply? Why?
Both Bond A and Bond B have 9.8 percent coupons and are priced at par value. Bond A has 9 years to maturity, while Bond B has 20 years to maturity. a. If interest rates suddenly rise by 2.4 percent, what is the percentage change in price of Bond A and Bond B? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Bond A Bond B %A in Price % % b. If interest rates suddenly fall by 2.4 percent instead, what would be the percentage change in price of Bond A and Bond B? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. %A in Price Bond A %
3. The following is a list of prices for zero-coupon bonds with different maturities and par value of $1,000. Suppose the interest rate is compounded once per year. Maturity (Years) Price ($) 970 960 910 870 1 2 3 4 Answer the following questions: (a) What is, according to the expectations theory, the one-year interest rate in the second year? (b) What is, according to the expectations theory, the one-year interest rate in the third year? (c) What is, according to the expectations theory, the one-year interest rate in the forth year?
There are three bonds that mature at the same time, have the same par value, and are expected to pay their first annual coupon 1 next year. The bonds are detailed in the below table. Bond A B с PV PV PV Present Value B ? ? ? PV B If ca r, then what can we say about the prices of the bonds today? (Enter >, <, or ?) PV C PV Yield to Maturity C r rb Coupon Rate ca с с
Bond J has a coupon rate of 5 percent. Bond K has a coupon rate of 15 percent. Both bonds have eight years to maturity, a par value of $1,000, and a YTM of 11 percent, and both make semiannual payments. a. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. b. If interest rates suddenly fall by 2 percent instead, what is the percentage change in the price of these bonds? Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. a. Percentage change in price b. Percentage change in price Bond J % % Bond K % %
Illustrate your answers by graphing bond prices versus time to LO 2 19. Interest Rate Risk Both Bond Bill and Bond Ted have 5.8 percent coupons, make semiannual payments, and are priced at par value. Bond Bill has 5 years to maturity, whereas Bond Ted has 25 years to maturity. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of Bond Bill? Of Bond Ted? Both bonds have a par value of $1,000. If rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of Bond Bill be then? Of Bond Ted? Illustrate your answers by graphing bond prices versus YTM. What does this problem tell you about the interest rate risk of longer-term bonds?
Both Bond Bill and Bond Ted have 9.4 percent coupons, make semiannual payments, and are priced at par value. Bond Bill has 5 years to maturity, whereas Bond Ted has 22 years to maturity. Both bonds have a par value of 1,000. a. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. If rates were to suddenly fall by 2 percent instead, what would be the percentage change in the price of these bonds? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Bond Bill Bond ted a percentage in change b percentage in change
26. Suppose that a long-term coupon bond with a coupon rate of 5% is purchased today at its face value of $1,000 and resold a year later for a price of $950. The holding period return for the bond is equal to: a. 0% b. 2% c. 3% d. 5% 27. A decrease in the market interest rate will cause the value of a bank's portfolio of fixed-payment loans to: a. rise b. fall c. remain unchanged d. rise or fall, depending on the maturity of the bonds 28. A risk-free consol provides an annual payment of $50. If the market interest rate is 5%, the price of the consol will be: a. $55 b. $500 c. $1,000 d. $1,050
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

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