Interest Rate Risk Laurel, Inc., and Hardy Corp. both have 7.3 percent coupon bonds outstanding, with semiannuai interest payments, and both are currently priced at the par value of $1,000. The Laurel, Inc., bond has 4 years to maturity, whereas the Hardy Corp. bond has 23 years to maturity. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? If interest rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of these bonds be then? Ilustrate your answers by graphing bond prices versus YTM. What does this problem tell you about the interest rate risk of longer-term bonds?

Interest Rate Risk Laurel, Inc., and Hardy Corp. both have 7.3 percent coupon bonds outstanding, with semiannuai interest payments, and both are currently priced at the par value of $1,000. The Laurel, Inc., bond has 4 years to maturity, whereas the Hardy Corp. bond has 23 years to maturity. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? If interest rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of these bonds be then? Ilustrate your answers by graphing bond prices versus YTM. What does this problem tell you about the interest rate risk of longer-term 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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A $1,000 bond with a coupon rate of 6.7% paid semiannually has ten years to maturity and a yield to maturity of 6.2%, If interest rates fall and the yield to maturity decreases by 0.8%, what will happen to the price of the bond? O rise by $62.59 O fall by $75.11 rise by $87.62 O fall by $62.59
Determinant of Interest Rates The real risk-free rate of interest is 4%. Inflation is expected to be 1% this year and 5% during each of the next 2 years. Assume that the maturity risk premium is zero. What is the yield on 2-year Treasury securities? Round your answer to two decimal places. % What is the yield on 3-year Treasury securities? Round your answer to two decimal places.
Assume an FI has a position in 10-year zero coupon bonds. The current yield to maturity is 5 per cent. Maximum adverse daily yield move is already calculated at 46 basis points. What is the price volatility of these bonds? (Give your answer to 2 decimal places.)
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?
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.
i. Calculate the value of Macaulay’s duration for a 10-year, $1000 par value bond purchased today at a yield to maturity of 14% and a coupon rate of 10%. ii. From the answer in (i) calculate the modified duration of the bond assuming the prevailing interest rate is still 14%.iii. Now suppose the market interest rate on comparable bonds falls to 13 percent. What will be the approximate percentage change in the bond price.? (Hint: use the modified duration for your computation in (ii))
A firm's bonds have a maturity of 12 years with a $1,000 face value, have an 11% semiannual coupon, are callable in 6 years at $1,209.43, and currently sell at a price of $1,365.89. What are their nominal yield to maturity and their nominal yield to call? Do not round intermediate calculations. Round your answers to two decimal places. YTM: % YTC: % What return should investors expect to earn on these bonds? I. Investors would expect the bonds to be called and to earn the YTC because the YTC is less than the YTM. II. Investors would expect the bonds to be called and to earn the YTC because the YTC is greater than the YTM. III. Investors would not expect the bonds to be called and to earn the YTM because the YTM is greater than the YTC. IV. Investors would not expect the bonds to be called and to earn the YTM because the YTM is less than the YTC.
Manshuk
A firm's bonds have a maturity of 12 years with a $1,000 face value, have an 11% semiannual coupon, are callable in 6 years at $1,211.14, and currently sell at a price of $1,370.78. What are their nominal yield to maturity and their nominal yield to call? Do not round intermediate calculations. Round your answers to two decimal places. YTM: % YTC: % What return should investors expect to earn on these bonds? Investors would not expect the bonds to be called and to earn the YTM because the YTM is greater than the YTC. Investors would not expect the bonds to be called and to earn the YTM because the YTM is less than the YTC. Investors would expect the bonds to be called and to earn the YTC because the YTC is less than the YTM. Investors would expect the bonds to be called and to earn the YTC because the YTC is greater than the YTM.
Bond RTY.AF has a 5 percent coupon, makes semiannual payments, currently has 19 years remaining to maturity, and is currently priced at par value. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of Bond RTY.AF? Be sure to include the sign, especially if the bond price falls and the percentage change is negative. (Do not include the percent sign (%). Enter rounded answer as directed, but do not use the rounded numbers in intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).)
Fixed Income Securities4. Today is t = 0. You have just bought a five-year zero-coupon Treasurybond with $100 face value. You paid $80.(a) What is the annually compounded yield to maturity on the bond?(b) Suppose that yields at all maturities decrease to 2% immediately after you havepurchased the bond. Calculate the annualized holding period return if you sellthe bond one year after you have purchased it, at t = 1.(c) What is the annually compounded yield to maturity on the bond at t = 1?

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