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- What is the duration of the following bond:$1,000par value,6%annual coupon, 4 years to maturity, and yield to maturity of6.5%? You will need your answer for the next question. In the prior question, what is the present value of the bond?K Assume that a bond will make payments every six months as shown on the following timeline (using six-month periods): 0 2 5 Period $19.53 a. What is the maturity of the bond (in years)? b. What is the coupon rate (as a percentage)? c. What is the face value? Cash Flows View an example Get more help. ★ a. What is the maturity of the bond (in years)? The maturity is years. (Round to the nearest integer.) A 6 1 MacBook Pro & 7 $19.53 * 8 9 C 59 $19.53 60 $19.53+$1,000 Clear all BUB 0 {Assume coupons are paid annually. Here are the prices of three bonds with 10-year maturities. Assume face value is $100. Bond Coupon (%) 2 Price (%) 48 80.57 97.19 134.92 a. What is the yield to maturity of each bond? b. What is the duration of each bond? Complete this question by entering your answers in the tabs below. Required A Required B What is the yield to maturity of each bond? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Bond Coupon YTM (%) 2 4 6.00 % 7.42% 8 7.01 %
- Assume that a bond will make payments every six months as shown on the following timeline (using six- month periods): Period Cash Flows a. What is the maturity of the bond (in years)? b. What is the coupon rate (as a percentage)? c. What is the face value? $19.36 2 $19.36 CHE a. What is the maturity of the bond (in years)? The maturity is years. (Round to the nearest integer.) 19 $19.36 20 $19.36+ $1,000There 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 сConsider a coupon bond with an 8% annual coupon rate, a 10% interest rate, and a$1000 face value. The bond will mature in 4 years. What is the duration of this bond? Duration isdefined as a weighted average of the maturities of the cash payments. Suppose the weightassigned to the maturity of 1 year is W. Show your work A: Duration=2.28 and W=7.77%B: Duration=3.56 and W=20.5%C. Duration=3.56 and W=23.1%D. Duration=3.56 and W=7.77%
- 2. Consider a bond with a 7.5% annual coupon rate and a face value of $1,000. Calculate the bond price and duration & show your work. Years to Maturity Interest rate Bond Price Duration 4 6. 6. 9. What relationship do you observe between yield to maturity and the current market value? What is the relationship between YTM and duration?Suppose a bond with a 12% coupon rate and semiannual coupons, has a face value of $1,000, 10 years to maturity and is selling for $1,197.93. Calculate: A. Current yield, and B. YTM if the price of the bond in one year is $2,014.83 STEPS MAY INCLUDE USE OF FINANCIAL CALCULATOR (BA 2 PLUS)Assume coupons are paid annually. Here are the prices of three bonds with 10-year maturities. Assume face value is $100. Bond Coupon (8) 4 8 Price (1) 81.55 98.31 133.52 a. What is the yield to maturity of each bond? b. What is the duration of each bond? Complete this question by entering your answers in the tabs below. Required A Required B What is the yield to maturity of each bond? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Bond Coupon (%) 2 4 8 YTM 7.05% % %
- Assume coupons are paid annually. Here are the prices of three bonds with 10-year maturities. Assume face value is $100. Bond Coupon (%) Price (%) 2 81.55 4 98.31 8 133.52 a. What is the yield to maturity of each bond?b. What is the duration of each bond?Suppose you have developed a bond portfolio using the bonds listed below (per $100 par value) reported. All the bonds make semi-annual coupon payments. Bond A B Coupon rate (%) Number of years price 8 6 3 95 105 What is the yield to maturity of the above bond portfolio based on the cash flow yield? WSuppose the yield on a one year bond is currently 2.5%. Further assume that the expected yield on a one-yea the next four years are, respectively: 2.4%, 2.3%, 2.2%, and 2.1%. Additionally, the term premium on the one-, three-, four-, and five-year bonds are given in the table below: Term Premium on Different Maturity Length Bonds Maturity Length Term Premium one-year 0.00% two-year three-year four-year five-year a. b. flat 0.05% Given the information above, if the yield curve of these five bonds were graphed, it would be 0.10% e. 0.15% downward sloping upward sloping 0.20% C. flat then upward sloping d. upward sloping then downward sloping
