a.
To calculate: The initial price of the bond.
Introduction:
It is a financial calculation used to calculate the current value of a future amount of money. It is also known as present discounted value.
b.
To calculate: The value of the zero-coupon rate bond.
Introduction:
Zero-coupon rate bond:
It is a debt security instrument that does not pay any periodic interest but rather trades at a deep discount from its face value, thus offering a profit at maturity.
c.
To calculate: The value of the zero-coupon rate bond.
Introduction:
Zero-coupon rate bond:
It is described as a debt security instrument that does not pay any periodic interest but rather trades at a deep discount from its face value, thus offering a profit at maturity.
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- 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 % %arrow_forwardSuppose that your firm issued a bond with 10 years until maturity, a face value of $1000, and a coupon rate of 7% (annual payments). The yield to maturity on this bond when it was issued was 6%. For questions e-g, assume that this bond DOES NOT pay any coupon a) What was its price when it was issued? b) For this zero-coupon bond, suppose it is actually sold for $500, what should the YTM be?arrow_forwardSuppose that all bonds have $1,000 of face value. The current prices of zero coupon bonds are as follows: $960 for a one-year bond; $910 for a two-year bond; $850 for a three-year bond. a. What is the price of a three-year bond with 8% annual coupon payment? b. What is the YTM of the two-year zero coupon bond? c. Consider the following two-year bonds: (i) a zero coupon bond as above; (ii) a bond with 6% annual coupon payment. Whose YTM is higher?arrow_forward
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- Bond C has a coupon of 5.2 percent. Bond D has a coupon of 9.2 percent. Both bonds have 15 years to maturity and have a YTM of 7.4 percent. a. If interest rates suddenly rise by 1.6 percent, what is the percentage price change of these bonds? (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.) b. If interest rates suddenly fall by 1.6 percent, what is the percentage price change of these bonds? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) c- What is your conclusion?arrow_forwardBond J has a coupon rate of 5 percent and Bond K has a coupon rate of 11 percent. Both bonds have 14 years to maturity, make semiannual payments, and have a YTM of 8 percent. If interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds? (Negative amounts 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.) Percentage change in price of Bond Percentage change in price of Bond J K Percentage change in price of Bond Percentage change in price of Bond J What if rates suddenly fall by 2 percent instead? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.). % K % % %arrow_forwardBond J has a coupon rate of 7 percent and Bond K has a coupon rate of 13 percent. Both bonds have 16 years to maturity, make semiannual payments, and have a YTM of 10 percent. a. If interest rates suddenly rise by 2 percent, what is the percentage price change 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. What if rates suddenly fall by 2 percent instead? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)arrow_forward
- Bond J has a coupon rate of 6 percent and Bond K has a coupon rate of 12 percent. Both bonds have 14 years to maturity, make semiannual payments, and have a YTM of 9 percent. a. If interest rates suddenly rise by 2 percent, what is the percentage price change 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. What if rates suddenly fall by 2 percent instead? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) a. b. Bond J Bond K Bond J Bond K % % % %arrow_forwardConsider a bond with a face value of $1,000 that sells for an initial price of $700. It will pay no coupons for the first nine years and will then pay 11% coupons for the remaining 29 years. Choose an equation showing the relationship between the price of the bond, the coupon (in dollars), and the yield to maturity. O A. B. O C. O D. 700 = 700 = 700 = 700 = 110 110 9 (1+i)⁹ (1+i)⁹+1 + 110 + i) ⁹ + 1 (1 + 1,000 (1+i) 29-9 1,000 (1 + i) 9 +29 + +...+ 110 (1+i) 9+2 + 110 (1 + i)9+29-1 110 + (1 + i) ⁹ + 110 (1+i)9 +29 9+29-1 + 110 (1 + i)9 +29 + 1,000 (1+i) 9+29arrow_forwardCalculate 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)) iv. Given the information in (i), did the bond sell at a discount or premium?arrow_forward
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