Consider a bond with a coupon of 5 percent, seven years to maturity, and a current price of $1,052.80. Suppose the yield on the bond uddenly increases by 2 percent. a. Use duration to estimate the new price of the bond. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Price b. Calculate the new bond price using the usual bond pricing formula. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Price

Consider a bond with a coupon of 5 percent, seven years to maturity, and a current price of $1,052.80. Suppose the yield on the bond uddenly increases by 2 percent. a. Use duration to estimate the new price of the bond. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Price b. Calculate the new bond price using the usual bond pricing formula. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Price

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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D3)
Consider a bond that has a price of $1046.76, a coupon rate of 8.8%, a yield to maturity of 8.1%, a face value of $1000, and 10 years to maturity. What is the current yield? Enter your answer as a percentage. Do not include the percentage sign in your answer. Enter your response below. Enter your answer to 2 DECIMAL PLACES. Number %
You find a zero coupon bond with a par value of $10,000 and 19 years to maturity. The yield to maturity on this bond is 4.7 percent. Assume semiannual compounding periods. What is the price of the bond? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.
The following table summarizes prices of various default-free zero-coupon bonds (expressed as a percentage of the face value): a. Compute the yield to maturity for each bond. b. Plot the zero-coupon yield curve (for the first five years). c. Is the yield curve upward sloping, downward sloping, or flat? a. Compute the yield to maturity for each bond. The yield on the 1-year bond is 3.92 %. (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Price (per $100 face value) 1 $95.51 2 3 $91.10 $86.55 $81.69 $76.45 Print Donday
Suppose you purchase a $1000 Face-Value Zero-Coupon Bond with maturity 30 years and yield to maturity 4% quoted with annual compounding. Show the bond cash flows on a time line and compute the current price of the bond Draw a graph to illustrate how the price of this bond will change as it gets closer to maturity – Price (on y axis) vs Time (on x axis). Why is a zero-coupon bond more sensitive to interest rate changes than similar coupon bearing bonds (2 or 3 sentences)?
Required: a. Find the duration of a 6.4% coupon bond making annual coupon payments if it has three years until maturity and has a yield to maturity of 6.4%. Note: The face value of the bond is $1,000. Do not round intermediate calculations. Round your answer to 2 decimal places. b. What is the duration if the yield to maturity is 10%? Note: The face value of the bond is $1,000. Do not round intermediate calculations. Round your answer to 2 decimal places. a. 6.4% YTM b. 10% YTM years years
Suppose the current yield on a one-year zero-coupon bond is 4%, while the yield on a five-year zero-coupon bond is 6%. Neither bond has any risk of default. Suppose you plan to invest for one year. You will earn more over the year by investing in the five-year bond as long as its yield does not rise above what level? (Assume $1 face value bond.) Hint: It is best not to round intermediate calculations-make sure to carry at least four decimal places in intermediate calculations. Note: Assume annual compounding. The yield should not rise above %. (Round to two decimal places.)
A 30-year maturity bond making annual coupon payments with a coupon rate of 14.0% has duration of 11.36 years and convexity of 186.4. The bond currently sells at a yield to maturity of 8%. a. Find the price of the bond if Its yield to maturity falls to 7%. (Do not round Intermediate calculations. Round your answer to 2 decimal places.) Price of the bond b. What price would be predicted by the duration rule? (Do not round Intermediate calculations. Round your answer to 2 decimal places.) Predicted price c. What price would be predicted by the duration-with-convexity rule? (Do not round Intermediate calculations. Round your answ to 2 decimal places.) Predicted price
A General Power bond carries a coupon rate of 9.7%, has 9 years until maturity, and sells at a yield to maturity of 8.7%. (Assume annual interest payments.) a. What interest payments do bondholders receive each year? b. At what price does the bond sell? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. c. What will happen to the bond price if the yield to maturity falls to 7.7%? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. a. Interest payments b. Price c. Price will by rise fall
You find a zero coupon bond with a par value of $10,000 and 22 years to maturity. The yield to maturity on this bond is 4.4 percent. Assume semiannual compounding periods. What is the dollar price of the bond? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Bond price
a. What is the duration of a two-year bond that pays an annual coupon of 11.5 percent and has a current yield to maturity of 13.5 percent? Use $1,000 as the face value. (Do not round intermediate calculations. Round your answer to 4 decimal places. (e.g., 32.1616)) b. What is the duration of a two-year zero-coupon bond that is yielding 11.5 percent? Use $1,000 as the face value. a. Duration b. Duration years years
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