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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Foundations of Financial Management
- A 9-year bond has a yield of 14% and a duration of 8.157 years. If the market yield changes by 85 basis points, what is the percentage change in the bond's price? (Assume modified duration and a positive increase in yield change. Do not round intermediate calculations. Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) X Answer is complete but not entirely correct. The percentage change in the bond's price is 6.93 X %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
- A 16-year, $1,000 par value zero-coupon rate bond is to be issued to yield 6 percent. Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods. a. What should be the initial price of the bond? (Assume annual compounding. Do not round intermediate calculations and round your answer to 2 decimal places.) b. If immediately upon issue, interest rates dropped to 5 percent, what would be the value of the zero-coupon rate bond? (Assume annual compounding. Do not round intermediate calculations and round your answer to 2 decimal places.) c. If immediately upon issue, interest rates increased to 10 percent, what would be the value of the zero-coupon rate bond? (Assume annual compounding. Do not round intermediate calculations and round your answer to 2 decimal places.)arrow_forwarda. 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%. b. From the answer in (a) calculate the modified duration of the bond assuming the prevailing interest rate is still 14%. c. 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 (b))arrow_forwardA 10-year, $1,000 par value zero-coupon rate bond is to be issued to yield 7 percent. Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods. a. What should be the initial price of the bond? (Assume annual compounding. Do not round intermediate calculations and round your answer to 2 decimal places.) Bond price b. If immediately upon issue, interest rates dropped to 6 percent, what would be the value of the zero-coupon rate bond? (Assume annual compounding. Do not round intermediate calculations and round your answer to 2 decimal places.) Bond price c. If immediately upon issue, interest rates increased to 9 percent, what would be the value of the zero-coupon rate bond? (Assume annual compounding. Do not round intermediate calculations and round your answer to 2 decimal places.) Bond pricearrow_forward
- Bond 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_forwardThe current zero-coupon yield curve for risk-free bonds is as follows: What is the risk-free interest rate for a five-year maturity? The risk-free interest rate for a five-year maturity is _____%. (Round to two decimal places.)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_forwardAnswer botharrow_forward
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