Interest rate risk and bond price changes Fidelity Music Inc. has an older high yield bond (i.e. junk bond) issue and a more recent investment grade bond issue. Fidelity's high yield 12% coupon bonds have a YTM of 15% and will mature in 8 years. The investment grade bonds have a 9% YTM, mature in 20 years, and pay a 6% annual coupon. As a bond investor you would like to evaluate the bond price sensitivity to underlying interest rate fluctuations for both Fidelity Music bond issues.
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- “Prices of low coupon bonds are more sensitive to interest rate changes than prices of highcoupon bonds”. Discuss the given statement using hypothetical example.PE Corp. bondholders require a return of 12% on their investment. The bonds carry a coupon of7½% and they will mature after 7 years. Find the market price of one of these bonds.Bond valuation related problems should be solved by using a financial calculator or MS excel spreadsheet. Accordingly, you must show the values of all relevant time valu of money variables Columbus Ltd.'s outstanding bonds have a $1,000 par value, and they mature in 30 years. Their nominal yield to maturity is 10%, they pay interest quarterlly, and they sell at a price of $980. What is the bond's annual coupon interest rate?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…
- Risks of investing in bonds A security with higher risk will have a higher expected return. A bond’s risk level is reflected in its yield, but understanding the different risks involved when investing in bonds is important. The curves on the following graph show the prices of two 10% annual coupon bonds at various interest rates. Q1. Based on the graph, which of the following statements is true? a. Neither bond has any interest rate risk. b. The 10-year bond has more interest rate risk. c. Both bonds have equal interest rate risk. d. The 1-year bond has more interest rate risk. Q2. Which type of bonds offer a higher yield? a. Noncallable bonds b. Callable bonds Q3. Answer the following question based on your understanding of interest rate risk and reinvestment risk. True or False: Assuming all else is equal, the shorter a bond’s maturity, the more its price will change in response to a given change in interest rates.…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. 4. For a 10% $1,000 coupon bond, when the market interest rate is greater than 10%, the value of the bond: Is unaffected and still equals its par value of $1,000. Is less than its par value of $1,000. Is greater than its par value of $1,000. Cannot determine because it depends on the term of the bond in years. 5. For a 10%, $1,000 coupon bond, a longer term bond (say, 15 years) is: less affected by…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.
- 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. 3. What is the value of a 10-year 10% $1,000 bond when the market interest rate is 10%? $900 $975 $1,000 $1,050 4. For a 10% $1,000 coupon bond, when the market interest rate is greater than 10%, the value of the bond: Is unaffected and still equals its par value of $1,000. Is less than its par value of $1,000. Is greater than its par value of $1,000. Cannot determine because it depends on the term…The Chief Financial Officer of a company would like to raise money for new equipment by floating a new bond issue. The CFO would like to receive $1000 (full face value) for each of the bonds she sells. After collecting the below bond market data, and if the bonds carry a rating of A and have a term of 10 years, what coupon rate should be included in the bond contract? Assume an annual coupon payment. Security& Rating Maturity Face Coupon Price Treasury 1 $ 1,000 0.00% $ 965.00 Treasury 3 $ 1,000 1.90% $ 939.06 Treasury 5 $ 1,000 4.30% $ 932.42 Treasury 10 $ 1,000 6.80% $ 1,007.12 Treasury 15 $ 1,000 6.60% $ 908.25 CorpA A 5 $ 1,000 8.10% $ 990.00 CorpB BB 10 $ 1,000 7.90% $ 859.88 CorpC AA 15 $ 1,000 7.00% $ 660.00A treasury bond with $100 maturity face value has a $9 annual coupon, and 15 years left to maturity. What price will the bond sell for assuming that the 15 year yield to maturity in the market is 4%, 9%, and 14% respectively. (Show working out, without the use of external software such as excel or stata) Explain whether the price movements would have been greater or smaller if a 10 year bond had been used rather than a 15 year one without any further calculations.
- You are given the following data for two bonds with semiannual payments (A and B) Bond Years to Maturity Coupon rate 20 20 8% 4% Similar bonds with 20 year to maturity sell for 9% coupon rates in the market. Calculate the bond value for bond A and B What happends if the coupon rate of similar bonds drops to 6%? Calculate the bond value for bond A and B Bond Valuation Required Return Coupon 4.50% 4.50% 80 40 Par-value 1000 1000 Frequency 2 Basis Yield Bond 1 Bond 2 4.5% Price Change Percentage Change List the main bond theorems you derive from the above calculationLong-term Treasury bonds currently are selling at yields to maturity of nearly 6%. You expect interest rates to fall. The rest of the market thinks that they will remain unchanged over the coming year. In each question, choose the bond that will provide the higher holding-period return over the next year if you are correct. Briefly explain your answer.a. i. A Baa-rated bond with coupon rate 6% and time to maturity 20 years.ii. An Aaa-rated bond with coupon rate of 6% and time to maturity 20 years.b. i. An A-rated bond with coupon rate 3% and maturity 20 years, callable at 105.ii. An A-rated bond with coupon rate 6% and maturity 20 years, callable at 105.c. i. A 4% coupon noncallable T-bond with maturity 20 years and YTM = 6%.ii. A 7% coupon noncallable T-bond with maturity 20 years and YTM = 6%.Tesla Inc, USA recently tapped on the bond market for a 5-year bond. It pays an annual coupon of 7% p.a. for sovereign and institutional investors to diversify its funding base. The prevailing market sentiment of similar bonds has a yield to maturity at 5% p.a. You are to perform the following: i. Calculate the bond duration ii. Calculate the modified duration of the bond iii. Calculate the duration estimation approach considering the percentage change of bond price if r decreases to 4.5%. iv. Calculate using the duration estimation approach of the new bond price at r= 4.5% v. Calculate the percentage of error using duration estimation approach Based on the above quantitative analysis and calculations, discuss and contrast with the use of duration method with other conventional method in valuation of bonds