perpetual bondis a bond with no maturity, i.e., it pays a fixed payment at fixed intervals forever. Under the assumption of constant (continuously compounded) interest rates of 5%, what is the price of a perpetual bond with face value £100 paying annual coupon of 2.50% once a year and whose first coupon payment is due in three months?

perpetual bondis a bond with no maturity, i.e., it pays a fixed payment at fixed intervals forever. Under the assumption of constant (continuously compounded) interest rates of 5%, what is the price of a perpetual bond with face value £100 paying annual coupon of 2.50% once a year and whose first coupon payment is due in three months?

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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An investor wants to find the duration of a(n) 10-year, 6% semiannual pay, noncallable bond that's currently priced in the market at $541.25, to yield 15%. Using a 250 basis point change in yield, find the effective duration of this bond (Hint: use Equation 11.11). The new price of the bond if the market interest rate decreases by 250 basis points (or 2.5%) is $ (Round to the nearest cent.)
A bond has 10 years until maturity, a coupon rate of 8.3%, and sells for $1,170. Interest is paid annually. ( Assume a face value of $1,000.) If the bond has a yield to maturity of 9.7% 1 year from now, what will its price be at that time? Note: Do not round intermediate calculations. Round your answer to nearest whole number. What will be the rate of return on the bond? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign. If the inflation rate during the year is 3%, what is the real rate of return on the bond? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign.
Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $90.44, while a 2-year zero sells at $82.64. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 12% per year. Required: a. What is the yield to maturity of the 2-year zero? b. What is the yield to maturity of the 2-year coupon bond? c. What is the forward rate for the second year? d. If the expectations hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding-period return on the coupon bond over the first year? e. Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis? Complete this question by entering your answers in the tabs below. Required A Required B Required C Required D Required E Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?…
For the following questions, assume the normal case that coupon payments are semi-annual. a. What is the yield to maturity on a 12-year, 6.2% coupon bond if the bond is currently selling for $1,000? b. For the bond above, suppose that immediately after purchase market rates change to 3.60%. If you hold the bond for 4 years and then sell it, what is your effective annual return on this investment? % (enter response rounded to decimal places; i.e., x.xx%) b. Your effective annual return is % (enter response rounded to decimal places; i.e., x.xx%) a. The YTM is
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.
Suppose the interest rate on a 1-year T-bond is 5.00% and that on a 2-year T-bond is 6.40%. Assume that the pure expectations theory is NOT valid, and the MRP is zero for a 1-year T-bond but 0.40% for a 2-year bond. What is the yield on a 1-year T-bond expected to be one year from now?
Suppose the current interest rate on a one-year bond is 2% and the current interest rate on a two-year bond is 4%. The term premium on a two-year bond is 1%. According to the expectations hypothesis, what interest rate should we expect on a one-year bond next year? Answer as a percentage to one decimal place and do not include symbols (e.g. $, %, commas) in your answer. 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?
Consider a bond with a duration of 8.8 years priced at $1,100. If market interest rates were to increase by 0.25%, what would be the predicted new bond price according to duration?
A bond, paying semi-annual coupons of 1% per annum, matures in 7 months time. The interest rate (with semi-annual compounding) for 1 month is 6.00%, while for 7 months, it is 4.90%. What is the dirty price of the bond?

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