What is the duration of a three-year, $1,000 Treasury bond with a 12 percent semiannual coupon selling at par? Selling with a yield to maturity of 6 percent? 8 percent? Plot the relationship. What can you conclude about the relationship between duration and yield to maturity? Select one:
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What is the duration of a three-year, $1,000 Treasury bond with a 12 percent semiannual coupon selling at par? Selling with a yield to maturity of 6 percent? 8 percent? Plot the relationship. What can you conclude about the relationship between duration and yield to maturity? Select one:
a. Both the maturity periods have equal duration.
b. When the yield to maturity is increasing the years to maturity will decrease.
c. There is no relationship
d. None of the other three answers are correct
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- Which of the following statements is CORRECT? a. If a coupon bond is selling at par, its yield to maturity is equal to zero. b. If a coupon bond is selling at a discount, its price will continue to increase until it reaches its par value at maturity. c. If interest rates increase, the price of a 10-year coupon bond will decline by a greater percentage than the price of a 10-year zero coupon bond. d. If a bond's yield to maturity exceeds its annual coupon, then the bond will trade at a discount. e. If a coupon bond, is selling at a premium, its yield to maturity is equal to zero. ANSWER IS NOT CеВook Problem Walk-Through Last year Carson Industries issued a 10-year, 13% semiannual coupon bond at its par value of $1,000. Currently, the bond can be called in 6 years at a price of $1,065 and it sells for $1,200. a. What are the bond's nominal yield to maturity and its nominal yield to call? Do not round intermediate calculations. Round your answers to two decimal places. YTM: % YTC: % Would an investor be more likely to earn the YTM or the YTC? -Select- -Select- ent yield and to Table 7.1) Round your answer to two decimal places. b. Since the YTM is above the YTC, the bond is likely to be called. Since the YTC is above the YTM, the bond is likely to be called. Since the YTM is above the YTC, the bond is not likely to be called. Since the YTC is above the YTM, the bond is not likely to be called. Since the coupon rate on the bond has declined, the bond is not likely to be called. I. If the bond is called, the capital gains yield will remain the same but the current yield will be…Which of the following statements is CORRECT? a. If a coupon bond is selling at par, its current yield equals its yield to maturity. b. If a coupon bond is selling at a discount, its price will continue to decline until it reaches its par value at maturity. c. If interest rates increase, the price of a 10-year coupon bond will decline by a greater percentage than the price of a 10-year zero coupon bond. d. If a bond's yield to maturity exceeds its annual coupon, then the bond will trade at a premium. e. If a coupon bond is selling at a premium, its current yield equals its yield to maturity.
- For a bond that is currently selling for par value (i.e., $1000). which one of the following relationships is correct (note: assume that all factors, other than the one mentioned, remain constant)? O 1) if the coupon rate increases, the bond price will remain the same. 2) if the coupon rate increases, the bond price will decrease. 3) if the yield to maturity decreases, the bond price will decrease. O 4) if the term to maturity increases, the bond price will remain the same. O 5) if the yield to maturity increases, the bond price will remain the same.A plot of the yields on bonds with different terms to maturity but the same risk, liquidity, and tax considerations is known as O A. a yield curve. B. a risk-structure curve. OC. a term-structure curve. 5- O D. an interest-rate curve. Suppose people expect the interest rate on one-year bonds for each of the next four years to be 3%, 6%, 5%, and 6%. If the expectations theory of the term structure of interest rates is correct, then the implied interest rate on bonds with a maturity of four years is nearest whole number). %. (Round your response to the 2- Refer to the figure on your right. Suppose the expected interest rates on one-year bonds for each of the next four years are 4%, 5%, 6%, and 7%, respectively. 1. 1.) Use the line drawing tool (once) to plot the yield curve generated. 3 Term to Maturity in Years 2.) Use the point drawing tool to locate the interest rates on the next four years. 5. 3- Interest Rate .....Which of the following statements regarding bonds and their terms is FALSE? *** OA. When we calculate a bond's yield to maturity by solving the formula, Coupon Coupon Coupon + Face Price of an n-period bond = (1 + )" + + + MA (1+)¹ (1+)² the yield we compute will be a rate per coupon interval. OB. The internal rate of return (IRR) of an investment in a zero-coupon bond is the rate of return that investors will earn on their money if they buy a default - free bond at its current price and hold it to maturity. OC. The yield to maturity of a bond is the discount rate that sets the future value (FV) of the promised bond payments equal to the current market price of the bond. OD. Financial professionals also use the term spot interest rates to refer to the default - free zero- coupon yields.
- Consider the following figure which shows the relationship between a three-year bond’s price (vertical axis) and the passage of time (measured in years - horizontal axis). Which of the following statements are consistent with the figure above? Group of answer choices A. This bond pays a coupon of $6. B. This pattern of prices is consistent with a bond whose yield to maturity is below the bond’s coupon rate. C. None of the other statements are correct. D. This bond pays coupons on a quarterly basis.a. Manually compute the modified duration for a 3-years to maturity, 5% annual coupon bond, when the yield-to-maturity is 7%. b. Manually compute the modified duration for a 3-years to maturity, 5% annual coupon bond, when the yield-to-maturity is 5%. c. Compare your answers to above questions. Are they different? If so, what is the reason? Explain clearlySuppose that y is the yield on a perpetual government bond that pays interest at the rate of $1 per annum. Assume that y is expressed with simply com- pounding, that interest is paid annually on the bond, and that y follows the process dy = a(y0 −y)dt + oydWt, where a, y0, and o are positive constants and dWt is a Wiener process. (a) What is the process followed by the bond price? (b) What is the expected instantaneous return (including interest and capital gains) to the holder of the bond?
- Suppose you want to figure out the relationship between duration and maturity, so you consider the following three T-Bonds. You compute a. The duration of a two-year Treasury bond with a 10 percent semiannual coupon selling at par b. The duration of a three-year Treasury bond with a 10 percent semiannual coupon selling at par c. The duration of a four-year Treasury bond with a 10 percent semiannual coupon selling at parExplain what you see from the pricing calculations. How do the two bonds differ? Bond C Bond Price = PV(rate,nper,pmt,fv) Given: n = Period which takes values from 0 to the nth period = 0,1,2,3 & 4 Cn = Coupon payment in the nth period = 10%*$1,000 = $100 YTM = interest rate or required yield = 9.6% P = Par Value of the bond = $1,000 Bond Z Bond Price = PV(rate,nper,pmt,fv) Given: n = Period which takes values from 0 to the nth period = 0,1,2,3 & 4 Cn = Coupon payment in the nth period = 0%*$1,000 = $0.00 YTM = interest rate or required yield = 9.6% P = Par Value of the bond = $1,000 years Bond A Bond Z 4 $1,012.79 $693.04 3 $1,010.02 $759.57 2 $1,006.98 $832.49 1 $1,003.65 $912.41 0 $1,000.00 $1,000.00There 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