Consider four different bonds all having the same yield-to-maturity. Bond A is a consol that pays $50 every period forever and is currently priced at $714.29. Bond B, C and D have the same par value of $1,000. However, they differ in their maturity and coupon rate. Bond B and C have a maturity of 5 years, while bond D has a maturity of 10
years. Also, bond B and D have a coupon rate of 6%, while bond C has a coupon rate of 8%. [Hint: Coupons are paid annually to faciliate the calculations. Hence, coupon rates are also given annually. You may want to resort to the
(a) Calculate the prices for bond B, C and D.
(b) Calculate the duration for all bonds.
(c) Calculate the duration adjusted for convexity for all bonds.
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- (Related to Checkpoint 9.2) (Yield to maturity) The Saleemi Corporation's $1,000 bonds pay 9 percent interest annually and have 15 years until maturity. You can purchase the bond for $1,125. a. What is the yield to maturity on this bond? b. Should you purchase the bond if the yield to maturity on a comparable-risk bond is 6 percent? a. The yield to maturity on the Saleemi bonds is %. (Round to two decimal places.)arrow_forwardBond P is a premium bond with a 10 percent coupon. Bond D is a 6 percent coupon bond currently selling at a discount. Both bonds make annual payments, have a YTM of 8 percent, and have five years to maturity. (Assume par value of K1,000)(i) What is the current yield for Bond P and Bond D?(ii) If interest rates remain unchanged, what is the expected capital gains yield over the next year for Bond P? For Bond D?(iii)Explain your answers and the interrelationship among the various types of yields.arrow_forwardConsider two bonds, a 3-year bond paying annual coupons at 5% and a 10-year bond also paying annual coupons at 5%. Coupons are paid annually (not semiannually). Both are currently trading at par (i.e., price = face value). A. What must be the current discount rate for these bonds? B. Suppose that the discount rate for these bonds suddenly rise to 9%. What is the new price of the 3-year bond? What is the new price of the 10-year bond? C. Compare the price changes (i.e., the current price of $1,000 vs. the new bond price from Part B) of two bonds. Determine whether long-term or short-term bonds are more sensitive to interest rate fluctuation.arrow_forward
- Consider four different bonds all having the same yield-to-maturity. Bond A is a consol that pays $50 every period forever and is currently priced at $714.29. Bond B, C and D have the same par value of $1,000. However, they differ in their maturity and coupon rate. Bond B and C have a maturity of 5 years, while bond D has a maturity of 10years. Also, bond B and D have a coupon rate of 6%, while bond C has a coupon rate of 8%. [Hint: Coupons are paid annually to faciliate the calculations. Hence, coupon rates are also given annually. You may want to resort to the annuity formula to make your life easier.] a). Suppose the yield-to-maturity increases by 1%. Calculate the price changes on the individual bonds based on the two duration measures and based directly on the pricing formula. Compare your answers.b). Suppose the yield-to-maturity decreases by 1%. Calculate the price changes on the individual bonds based on the two duration measures and based directly on the pricing formula.…arrow_forwardYou are trying to compare the interest rate risks of two bonds: (i) a 15-year 8% bond, and (ii) a 10-year 6% bond. Both bonds pay semi-annual interest payments. The current market interest rate for the 15-year bond is 7.2% and the market interest rate for the 10 year old bond is 5.8% a. determine the (macaulay) durations of the two bonds b. based on your findings in a and b which bond has a greater interest rate risk? explain. Please show excel solutions thank you!!arrow_forward(Related to Checkpoint 9.2) (Yield to maturity) The Saleemi Corporation's $1,000 bonds pay 7 percent interest annually and have 9 years until maturity. You can purchase the bond for $885. a. What is the yield to maturity on this bond? b. Should you purchase the bond if the yield to maturity on a comparable-risk bond is 10 percent? a. The yield to maturity on the Saleemi bonds is %. (Round to two decimal places.)arrow_forward
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