In a particular bond market, the two- year par yield at time t = 0 is 4.15% and the issue price at time t = 0 of a two-year fixed interest stock, paying coupons of 8% annually in arrears and redeemed at 98, is $105.40 per $ 100 nominal. Calculate: (a) the one - year spot rate (b) the two-year spot rate -

In a particular bond market, the two- year par yield at time t = 0 is 4.15% and the issue price at time t = 0 of a two-year fixed interest stock, paying coupons of 8% annually in arrears and redeemed at 98, is $105.40 per $ 100 nominal. Calculate: (a) the one - year spot rate (b) the two-year spot rate -

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 seven-year, $1,000 bond with a 7.97% coupon rate and semiannual coupons is trading with a yield to maturity of 5.53%. a. Is this bond currently trading at a discount, at par, or at a premuim? Explain. b. If the yield to maturity of the bond rises to 6.09% (APR with semiannual compounding), at what price will the bond trade?
Suppose that the current 6-month, 1-year, 1.5-year and 2-year interest rates are 2.2%,3%, 3.5% and 3.75%, respectively. a) Calculate the prices of a 1-year and 2-year Treasury bonds. In each case, assumethe face value of £100 and the coupon rate of 5% per annum and that coupons arepaid semi-annually. Assume continuous compounding. Compare the obtainedresults. Are they consistent with your expectations? b) Calculate the par yield on the 1-year bond with semi-annual coupons
Suppose a five-year bond with an 8% coupon rate and semi-annual compounding is trading for a price of £951.58. Calculate the bond's yield to maturity (YTM) based on the expression of an annual percentage rate (APR).
What is the Macaulay duration of a semi-annual bond with a coupon rate of 7 percent, five years to maturity, and a current price of $959? What is the modified duration? Duration is __. years. Modified duration is __ years.
Consider the situation where zero rates, measured with continuous compounding, are as in the below table. Suppose that a two-year bond with a principal of $100 provides coupons at the rate of 8% per annum semiannually. What is the theoretical price of the bond. Maturity (years) Zero rate (%) with continuous compounding 0.5 5 1.0 6 1.5 7 2.0 8 $99.60 $99.25 $99.02 $99.89
Suppose a seven-year, $1,000 bond with a(n) 6.88% coupon rate and semiannual coupons is trading with a yield to maturity of 4.95%. a. Is this bond currently trading at a discount, at par, or at a premuim? Explain. b. If the yield to maturity of the bond rises to 5.29% (APR with semiannual compounding), at what price will the bond trade?
Using the expectations hypothesis theory for the term structure of interest rates, determine the expected return for securities with maturities of two, three, and four years based on the following data. (Input your answers as a percent rounded to 2 decimal places.) 1-year T-bill at beginning of year 1 1-year T-bill at beginning of year 2 1-year T-bill at beginning of year 3 1-year T-bill at beginning of year 4 2-year security 3-year security 4-year security Expected Return Interest Rate 58 78 10% 128
Calculate the effective duration of an option-free 20-year 7% annual-pay par bond based on a 25-basis point (bps) change in yield. a) What would be the approximate change in price and the actual change in price if the yield was to go up by 200bps? b) Explain the difference between the approximate and actual change in price.
Compute the Macaulay duration under the following conditions: a. A bond with a four-year term to maturity, a 10% coupon (annual payments), and a market yield of 8%. Do not round intermediate calculations. Round your answer to two decimal places. Assume $1,000 par value. _________ years b. A bond with a four-year term to maturity, a 10% coupon (annual payments), and a market yield of 12%. Do not round intermediate calculations. Round your answer to two decimal places. Assume $1,000 par value. _________ years c. Compare your answers to Parts a and b, and discuss the implications of this for classical immunization. As a market yield increases, the Macaulay duration -(Select:declines/increases) . If the duration of the portfolio from Part a is equal to the desired investment horizon the portfolio from Part b is -(Select: no longer/still) perfectly immunized. Only typed answer
The following table summarizes prices of various default-free zero-coupon bonds (expressed as a percentage of the face value): a. Compute the yield to maturity for each bond. b. Plot the zero-coupon yield curve (for the first five years). c. Is the yield curve upward sloping, downward sloping, or flat? a. Compute the yield to maturity for each bond. The yield on the 1-year bond is 3.92 %. (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Price (per $100 face value) 1 $95.51 2 3 $91.10 $86.55 $81.69 $76.45 Print Donday
Consider the following maturity / yield to maturity for all treasuries. Interest compounds semiannually. Term to Maturity (years) Yield to Maturity or Coupon Rate 0.5 4.50% 1.0 5.00% 1.5 5.50% 2.0 6.00% 2.5 6.50% a) Which, if any, of these securities are zero coupon securities b) Why isn’t the 1.5 year spot rate equal to 5.5% c) Calculate the 1.5 year spot rate.
Using the expectations hypothesis theory for the term structure of interest rates, determine the expected return for securities with maturities of two, three, and four years based on the following data. Note: Input your answers as a percent rounded to 2 decimal places. 1-year T-bill at beginning of year 1 1-year T-bill at beginning of year 21 1-year T-bill at beginning of year 3 1-year T-bill at beginning of year 4 2-year security 3-year security 4-year security Expected Return % % % Interest Rate 7% 9% 10% 12%

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