A 30-year bond has an annual coupon rate of 6% for the first ten years, 7% for the next ten years, 8% for the last ten years, and matures at its par value of 100. The bond is bought to produce an effective annual yield rate of 7%. Determine an expression for the price of the bond. (All interest functions are at 7%) B 60+7¹ D C 100 100-100+10 70+100 80% para 100+ 0+²⁰05-06 100 (1.06) (1.07) (1.08)

A 30-year bond has an annual coupon rate of 6% for the first ten years, 7% for the next ten years, 8% for the last ten years, and matures at its par value of 100. The bond is bought to produce an effective annual yield rate of 7%. Determine an expression for the price of the bond. (All interest functions are at 7%) B 60+7¹ D C 100 100-100+10 70+100 80% para 100+ 0+²⁰05-06 100 (1.06) (1.07) (1.08)

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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Give typing answer with explanation and conclusion A bond offers a coupon rate of 12%, paid annually, and has a maturity of 19 years. The current market yield is 13%. Face value is $1,000. If market conditions remain unchanged, what should be the Capital Gains Yield of the bond?
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:
Consider a bond paying a coupon rate of 9.5% per year quarterly when the market interest rate is 5.25% per half-year. The bond has four years until maturity. a. Find the bond’s price today and nine months from now. b. What is the total rate of return on the bond?
a $1000 par value bond with 32 years to maturity has an 8.2% coupon rate with semi-annual interest payments. if the yield to maturity is 7.5%, what is the present value of the bond? 1,084.49 1,084.11 1,064.60 1,821.32 1,092.42
Consider a bond that has a face value of $1,000. The bond has a maturity of 25 years and pays coupons of 5.5% per annum. If the bond's required rate of return is 8.0% per annum nominal, and coupons are received semi-annually, what is the current market price of the bond?
A 27-year bond, with a price equal to 75% of its face value, offers annual coupons with the coupon rate equal to 217 of the annual effective yield rate. An n-year zero-coupon bond has the same price, face value, and yield rate. Calculate n. A 5 B 7 C 9 D 11 E 13
A newly issued bond pays its coupons once a year. Its coupon rate is 4.7%, its maturity is 15 years, and its yield to maturity is 7.7%. a. Find the holding-period return for a one-year investment period if the bond is selling at a yield to maturity of 6.7% by the end of the year. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Holding-period return % b. If you sell the bond after one year when its yield is 6.7%, what taxes will you owe if the tax rate on interest income is 40% and the tax rate on capital gains income is 30%? The bond is subject to original-issue discount (OID) tax treatment. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Tax on interest income $ Tax on capital gain $ Total taxes $ c. What is the after-tax holding-period return on the bond? (Do not round intermediate calculations. Round your answer to 2 decimal places.)…
Consider a 30-year Bond with $1,000 face value, which offers 10% annual coupon, paid once a year.Assume that interest rates, hence YTM (Yield to Maturity) changed from 6% to 7%. What is the duration of the Bond in years? Enter your answer in the following format: 12.34Hint1: Answer is between 10.24 and 12.77Hint2: Duration = (new bond price - old bond price) * (-100) / old bond price
Example: Suppose that a bond has a face value of P100,000and its maturity date is 10 years from now. The coupon rate is5% payable semi-annually. Find the fair price of this bond, assuming that the annual market rate is 4%. Given: Coupon rate r= 5%, payable semi - annually Face Value = 100,000 Time to maturity = 10 years Number of periods = 2(10) = 20 Market rate = 4% The bondholder receives 20 payments of P2,500 each, and P100,000 at t = 10. Present Value of 100,000: F P =- 100000 = 67,556.42 1+ 0.0410 Present Value of 20 payments of Php2500 each: Convert 4% to equivalent semi-annual rate: 1+ jm 0.04 1= (1+=)" -1 - (1+ ) - 1 - 1 = m 2 | = 0.0404
A $1,000 bond has a coupon of 8 percent and matures after eight years. Assume that the bond pays interest annually. What would be the bond's price if comparable debt yields 10 percent? Use Appendix B andAppendix D to answer the question. Round your answer to the nearest dollar. $ What would be the price if comparable debt yields 10 percent and the bond matures after four years? Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. $ Why are the prices different in a and b?The price of the bond in a is -Select-lessgreaterItem 3 than the price of the bond in b as the principal payment of the bond in a is -Select-further outcloserItem 4 than the principal payment of the bond in b (in time). 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 eight years: CY: %YTM: % The bond matures after four years: CY: %YTM: %
A coupon bond that pays interest semi annually has a par value of $1000, matures in five years and has a YTM of 10%. The intrinsic value of the bond today is? If the coupon rate is 8%? Answer:
Suppose that the term structure of interest rates is: Interest rates are annual interest rates that are semi-annually compounded. Calculate the price and modified duration of a 1 -year bond with a 6% coupon rate, with coupons paid semi-annually. The bond has a face value of 100.0 Calculate the price and modified duration of a 2 -year bond with a 10% coupon rate, with coupons paid semi-annually. The bond has a face value of 100.0 Compare your results from 1 and 2 above. Which bond is more sensitive to changes in interest rates?

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