Consider two bonds. The first is a 6% coupon bond with six years to maturity, and a yield to maturity of 4.5% annual rate, compounded semi-annually. The second bond is a 2% coupon bond with six years to maturity and a yield to maturity of 5.0%, annual rate, compounded semi-annually. a. Draw a cash flow diagram for each bond. b. Calculate the current price per $100 of face value for each bond.

Consider two bonds. The first is a 6% coupon bond with six years to maturity, and a yield to maturity of 4.5% annual rate, compounded semi-annually. The second bond is a 2% coupon bond with six years to maturity and a yield to maturity of 5.0%, annual rate, compounded semi-annually. a. Draw a cash flow diagram for each bond. b. Calculate the current price per $100 of face value for each bond.

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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Suppose you are given the following information about four different, default-free bonds, each with a face value of $1,000. The coupon bonds have annual payments. The yield to maturity of bond A with a maturity of 1 year and a coupon rate of 0% is 2%. The yield to maturity of bond B with a maturity of 2 year and a coupon rate of 10% is 3.908%. The yield to maturity of bond C with a maturity of 3 year and a coupon rate of 6% is 5.840%. The yield to maturity of bond D with a maturity of 4 year and a coupon rate of 12% is 5.783%. Given this information, what is the four-year spot rate?
Calculate (the present value of) the amount of interest excess or interest deficiency of the following bond: Par value: $100. Coupon rate 6.8%. Yield-to-maturity 6.5 %. The term of the bond is 5 years. Assume the bond pays interest twice a year, and semi-annual compounding. Express the amount of interest excess as a positive number and the amount of interest deficiency as a negative number. Round your answer to 2 decimal places. For example, if your answer is 25.689, please write down 25.69.
Calculate the prices of the following bonds. Assume the face value in each case is $1 000. c)A 12% p.a. coupon rate, 20 years to maturity and a yield of 10% p.a.
A risk-free 3-year annual coupon bond has a 5% coupon rate, a face value of $1,000, and trades for $950. The 1-year spot interest rate is 5%. The 2-year spot interest rate is 5.25%. The 3-year spot interest rate is 5.5%. What is your trading strategy? Please show your cash flows
You purchase a KD 3000 face value bond with 5 years remaining in its maturity period. The bond has current yield of 15% and its payment are KD 45 made every month. If compounding is annually, calculate the following: 1. The purchase value of the bond. 2. The yield to maturity. (Show trial and error with interpolation)
Calculate the yield on the following bonds: A. Cost $1,000, semiannual coupon payment 3%. Since 3% is semiannual, then double it to get 6% annual yield. Always calculate yield in terms of annual percentage. B. Cost $950, semiannual coupon payment 3%. Since 3% is semiannual, then double it to get 6% annual yield. Always calculate yield in terms of annual percentage.
2
A $1,000 bond has a coupon of 4 percent and matures after tên years. ASsume that the bond pays interest annually. a. What would be the bond's price if comparable debt yields 6 percent? Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. $ b. What would be the price if comparable debt yields 6 percent and the bond matures after five years? Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. c. Why are the prices different in a and b? The price of the bond in a is -Select- v than the price of the bond in b as the principal payment of the bond in a is -Select- v than the principal payment of the bond in b (in time). d. What are the current yields and the yields to maturity in a and b? Round your answers to two decimal places. The bond matures after ten years: CY: % YTM: % The bond matures after five years: CY: YTM:
Suppose a 5% coupon, 4 year bond is selling for $990. The face value is $1000. The coupon ispaid every six months. Answer the following questions. (a) Calculate the yield to maturity of this bond. (b) Calculate the price of this bond if the yield to maturity increases by 1% with maturityunchanged. (c) Calculate the price of this bond if the yield to maturity decreases by 1% with maturityunchanged.
Submit your solutions as an Excel document. Be sure to clearly label the various parts of the problem. 1. Consider the following two bonds that make semi - annual coupon payments. Assume the first coupon payment occurs in exactly six months, and the bond has a face value of $1000. Coupon Rate Time to Maturity YTM Bond A 3.80% 8 years 3.6% Bond B 3.80% 18 years 4.2% a.) What is the current price (t = 0) of Bond A? Be sure to set up the valuation equation. b.) What will be the price of Bond A exactly halfway in between t = 0 and the first coupon date? c.) Using a spreadsheet, plot the price - yield relationship for both Bond A and Bond B on the same set of axes. Do this for a range of yields from 2% to 11% (in increments of 50 basis points). d.) Use a spreadsheet to compute the annualized Macaulay duration and modified duration for Bond A at a yield - to - maturity of 3.6%. Provide an interpretation of the modified duration with regards to maturity and interest rate risk. e.) Use a…
Consider two zero coupon bonds in which you receive $100 at the maturity date, one maturing in three years and one maturing in five years. Both are currently priced to yield 6 percent. Calculate the current market value of each bond.
A 10-year bond with a face value of $1,000 has a coupon rate of 9.0%, with semiannual payments. a. What is the coupon payment for this bond? b. Enter 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 $ every six months. (Round to the nearest cent.)

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