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An investor buys a 5-year bond with a 3.8% coupon rate paid annually. the
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- Consider a 10-year bond with a face value of $1,000 that has a coupon rate of 5.9%, with semiannual payments. a. What is the coupon payment for this bond? b. Draw the cash flows for the bond on a timeline. a. What is the coupon payment for this bond? The coupon payment for this bond is $ (Round to the nearest cent.)Consider a semi-annual bond that has a par value of 100, a 15-year maturity, a 5% coupon rate. Monthly interest rate is 0.412%. (a) What is the price of the bond (without calculation)? And explain why you can determine the price of the bond without calculation? (b) Using answers from (a), calculate the modified duration of this bond. (c) Using answers from (a) and (b), suppose that the bond’s yield to maturity decreases to 3.5%. How much will the bond price increase by applying the duration rule?A 30-year maturity bond making annual coupon payments with a coupon rate of 11.00% has a ation of 13.50 years. The bond currently sells at a yield to maturity of 5.75%. Ducation a. Find the exact dollar price of the bond if its yield to maturity falls to 4.75%. What is the % change in price? b. Assume that you need to make a quick approximation using the duration rule. What is the % change in price as approximated by the duration rule when the yield to maturity falls to 4.75%? c. Does the duration-rule provide a good approximation of the % price change in this case? Why or why not?
- A newly issued bond with 1 year to maturity has a price of $1,000, which equals its face value. The coupon rate is 15% and the probability of default in 1 year is 35%. The bond’s payoff in default will be 65% of its face value. a. Calculate the bond’s expected return. b. Use a data table to show the expected return as a function of the recovery percentage and the price of the bond. Please show how you got part B using all functions.Assume that A six-year bond with a yield of 10% (continuously compounded) pays an 8% coupon at the end of each year. (a) What is the bond’s price? (b) What is the bond’s duration? What is the bond’s modified duration? (c) Use the duration to calculate the effect on the bond’s price of a 0.15% decrease in its yield.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?
- Consider a 10-year bond with a face value of $1,000 that has a coupon rate of 5.5%, with semiannual payments. a. What is the coupon payment for this bond? b. Draw the cash flows for the bond on a timelineSuppose a five-year face value of $1000 bond with a 9% coupon rate, and coupons are paid semi-annually. The yield to maturity of this bond is 7% (APR with semi-annual compounding). a) Is this bond trading at a discount, at par, or a premium? Explain. b) If the bond's yield to maturity rises to 8% (APR with semi-annual compounding), what price will the bond trade for?Suppose a 10-year, $1,000 bond with an 8.0% coupon rate and semi-annual coupons is trading for a price of $1,034.74. a. What is the bond's yield to maturity (expressed as an APR with semi-annual compounding)? b. If the bond's yield to maturity changes to 9.0% APR, what will the bond's price be? a. What is the bond's yield to maturity (expressed as an APR with semi-annual compounding)? The bond's yield to maturity is %. (Round to two decimal places.)
- Suppose a ten-year, $1,000 bond with an 8.2% coupon rate and semiannual coupons is trading for $1,034.64. a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b. If the bond's yield to maturity changes to 9.4% APR, what will be the bond's price?What is the Macaulay duration of a semi-annual bond with a coupon rate of 7 percent, five years to maturity, and a current price of $959? What is the modified duration? Duration is __. years. Modified duration is __ years.You find a bond with 28 years until maturity that has a coupon rate of 7 percent and a yield to maturity of 9 percent. What is the Macaulay duration? The modified duration?
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