A 25 year bond pays 9% coupon and has a face value of $100. Suppose the initial yield is 9%. A) Calculate the price of the bond. B) Approximate the price change due to duration of a change in yield to 7%. C) If the bond as originally described had a shorter time to maturity than 25 years, how would you answer question b) change and what is reason?

A 25 year bond pays 9% coupon and has a face value of $100. Suppose the initial yield is 9%. A) Calculate the price of the bond. B) Approximate the price change due to duration of a change in yield to 7%. C) If the bond as originally described had a shorter time to maturity than 25 years, how would you answer question b) change and what is reason?

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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Consider a bond that has a current value of $1,081.11, a face value of $1,000.00, a coupon rate of 10% and five years remaining to maturity.a. What is the bond’s yield-to-maturity today?b. If the bond’s yield does not change, what is its value one year from today? Please solve both parts
note:- give me answer( d) explan answer Suppose you purchase a 30-year, zero-coupon bond with a yield to maturity of 6%. You hold the bond for five years before selling it. a. If the bond's yield to maturity is 6% when you sell it, what is the internal rate of return of your investment? b. If the bond's yield to maturity is 7% when you sell it, what is the internal rate of return of your investment? c. If the bond's yield to maturity is 5% when you sell it, what is the internal rate of return of your investment? d. Even if a bond has no chance of default, is your investment risk free if you plan to sell it before it matures? Explain. Note: Assume annual compounding.
There 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 с
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)?
Consider an annual bond with a coupon rate of 10 percent, four years to maturity, and a current price of $1,100. Suppose the yield on the bond suddenly increases by 200 basis points. a) What is the modified duration of the bond (before the price increase)? years. b) Using the modified duration (from part a), what is the approximate new price of the bond? c) What is the exact new bond price using the usual bond pricing formula (you can use either financial calculator or excel for this part)?
Suppose you purchase a 30-year Treasury bond with a 6% annual coupon, initially trading at par. In 10 years’ time, the bond’s yield to maturity has risen to 7% (EAR).a. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond?b. If instead you hold the bond to maturity, what internal rate of return will you earn on your investment in the bond?c. Is comparing the IRRs a useful way to evaluate the decision to sell the bond?
Consider a bond that has a current value of $1,081.11, a face value of $1,000.00, a coupon rate of 10% and five years remaining to maturity.a. What is the bond’s yield-to-maturity today?b. If the bond’s yield does not change, what is its value one year from today?
Consider a bond with a coupon of 4.6 percent, five years to maturity, and a current price of $1,047.80. Suppose the yield on the bond suddenly 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 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) You hold a consol that pays a coupon in perpetuity. The current interest rate is i , and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? b) In the next period however, the interest rate changes unexpectedly to i 0. What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if 0 > i?
(a) You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? (b) In the next period however, the interest rate changes unexpectedly to i 0 . What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if i 0 > i? (c) Suppose alternatively that the market expects that the interest rate will change to i 0 after the initial period. What is the initial value of the consol, and what is the yield from selling it after one period?
Suppose you purchase a 30-year, zero-coupon bond with a yield to maturity of 6%. You hold the bond for five years before selling it. a. If the bond's yield to maturity is 6% when you sell it, what is the internal rate of return of your investment? b. If the bond's yield to maturity is 7% when you sell it, what is the internal rate of return of your investment? c. If the bond's yield to maturity is 5% when you sell it, what is the internal rate of return of your investment? d. Even if a bond has no chance of default, is your investment risk free if you plan to sell it before it matures? Explain. Note: Assume annual compounding.

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