Suppose that the term structure of interest rates is: t 0.5 1 1.5 2 r 1% 1.2% 1.4% 1.8% Interest rates are annual interest rates that are semi-annually compounded. 1. 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 2. 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 3. Compare your results from 1 and 2 above. Which bond is more sensitive to changes in interest rates?

Suppose that the term structure of interest rates is: t 0.5 1 1.5 2 r 1% 1.2% 1.4% 1.8% Interest rates are annual interest rates that are semi-annually compounded. 1. 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 2. 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 3. Compare your results from 1 and 2 above. Which bond is more sensitive to changes in interest rates?

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 a 10% 3years bond with a FV of $1000 Spot rates r1= 10%, r2= 12%, r3=13%. Calculate the forward rate required to calculate the bond price using the forward rate 1f2
Can the following equation be used to find the value of a bond with N years to maturitythat pays interest once a year? Assume that the bond was issued several years ago.
Consider the following: Price Yield to maturity Periods to maturity Modified duration Fixed-rate Bond Fixed-rate Note 107.18 5.00% 18 6.9848 100.00 5.00% 8 3.5851 a. For an increase in interest rates of 100 basis points, determine the change in value for the fixed-rate note. Show your work. b. For an increase in interest rates of 100 basis points, determine the change in value for the fixed-rate bond. Show your work. c. Which of the two fixed-rate securities are more sensitive to increases interest rates? Why? d. What would be the most appropriate course of action to take given interest rates are expected to rise? Explain carefully.
Consider the following scenario: A bond has a price of $95 (Par Value 100). It matures in 7 years and pays coupons semi-annually. Find the coupon rate of the bond (in annual terms) that would yield a duration of 5.5.
A bond pays a coupon of $39 twice a year. What is the coupon rate? Answer as a percent.
Assume that the real risk free rate is 2% and the average expected inflation rate is 3% for each future year. The default risk premium and the liquidity premium for bond x are each 1% and the applicable Maturity Risk premium is 2% what is bond x’s interest rate. Round to 2 decimal places
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.
Bond A makes semi-annual interest payments of $30. Bond B makes an annual payment of $50. All else equal, which one has the lower coupon rate? Select one: a. B b. A=B c. A
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?
Consider two bonds, a 3-year bond paying annual coupons at 5% and a 10-year bond also paying annual coupons at 5%. Coupons are paid annually (not semiannually). Both are currently trading at par (i.e., price = face value). A. What must be the current discount rate for these bonds? B. Suppose that the discount rate for these bonds suddenly rise to 9%. What is the new price of the 3-year bond? What is the new price of the 10-year bond? C. Compare the price changes (i.e., the current price of $1,000 vs. the new bond price from Part B) of two bonds. Determine whether long-term or short-term bonds are more sensitive to interest rate fluctuation.
Using the following spot rate for pricing the bond, what is the present value of a 3- year security that pays a fixed annual coupon of 6%? Year 1: 4.5% Year 2: 5.0% Year 3: 6.0% $1,010 O $1,002 $998
Consider a bond with a face value of $1,000. The coupon is paid semiannually and the market interest rate (effective annual interest rate) is 8 percent. How much would you pay for the bond if a. the coupon rate is 6 percent and the remaining time to maturity is 10 years?

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