Exercise 1. (Do this problem by hand. Don't just put it in a program like Excel. I want to see your work.) Bond A is a three year zero coupon bond with par value of $1000 and price of $900. Bond B is a two year 7% coupon bond with par value of $1000 and price of $1000. • Compute the yield to maturity of each. Is the yield curve upward or downward sloping? • Compute the implied forward rate. • Compute the duration of each. • Compute the convexity of each.

Exercise 1. (Do this problem by hand. Don't just put it in a program like Excel. I want to see your work.) Bond A is a three year zero coupon bond with par value of $1000 and price of $900. Bond B is a two year 7% coupon bond with par value of $1000 and price of $1000. • Compute the yield to maturity of each. Is the yield curve upward or downward sloping? • Compute the implied forward rate. • Compute the duration of each. • Compute the convexity of each.

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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Submit your solutions as an Excel document. Be sure to clearly label the various parts of the problem. 1. Consider the following two bonds that make semi - annual coupon payments. Assume the first coupon payment occurs in exactly six months, and the bond has a face value of $1000. Coupon Rate Time to Maturity YTM Bond A 3.80% 8 years 3.6% Bond B 3.80% 18 years 4.2% a.) What is the current price (t = 0) of Bond A? Be sure to set up the valuation equation. b.) What will be the price of Bond A exactly halfway in between t = 0 and the first coupon date? c.) Using a spreadsheet, plot the price - yield relationship for both Bond A and Bond B on the same set of axes. Do this for a range of yields from 2% to 11% (in increments of 50 basis points). d.) Use a spreadsheet to compute the annualized Macaulay duration and modified duration for Bond A at a yield - to - maturity of 3.6%. Provide an interpretation of the modified duration with regards to maturity and interest rate risk. e.) Use a…
A newly issued bond with 1 year to maturity has a price of $1,000, which equals its face value. The coupon rate is 15% and the probability of default in 1 year is 35%. The bond’s payoff in default will be 65% of its face value. a. Calculate the bond’s expected return. b. Use a data table to show the expected return as a function of the recovery percentage and the price of the bond. Please show how you got part B using all functions.
Consider two types of bonds: A 10 year to maturity corporate bond and a 10 year to maturity Treasury bond. We know that Corporate Bonds have default risk. Discuss the impact on the markets for these two type of bonds & on the risk premium when there is a FALL in the risk of corporate default? Provide a DISCUSSION of the impact and ILLUSTRATE the impact graphically using two diagrams, one for corporate bonds and one for Treasuries. The diagrams should show the impact on each yield and the impact on the risk premium [label your diagram clearly to illustrate the old premium vs. the new premium]. hint: draw your diagrams side by side, so you can show the risk premiums as done in lecture.
Suppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) Coupon rate (annual payment) YTM 1 0.00% 2.587% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. b. What is the zero-coupon yield curve for years 1 through 4? Note: Assume annual compounding. 2 11.00% 4.008% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. The yield to maturity of a two-year, zero-coupon bond is %. (Round to two decimal places.) b. What is the zero-coupon yield curve for years 1 through 4? The yield to maturity for the three-year and four-year zero-coupon bond is found in the same manner as the two-year zero-coupon bond. The yield to maturity on the three-year, zero-coupon bond is %. (Round to two decimal places.) The yield to maturity on the four-year, zero-coupon bond is %. (Round to two decimal places.) Which graph best depicts the yield curve of the zero-coupon bonds? (Select the…
FINA2... moodle1.du.edu.om T riay question Suppose you plan to invest part of your savings in bonds issued by Salalah Food Industries. Therefore, you must calculate the current yield on these bonds before making the decision to invest in them. The information below has been provided to assist you in calculating the current yield on these bonds. market price 1892 OMR, annual coupon rate 0.17 face value 2,500 OMR maturity 14 years. Select one: a. 0.1700 b. 0.1287 C. All the given answers in this question are wrong d. 0.2246 II
4. Using Excel or your favorite software: (a) A 5-year Treasury newly issued on February 15, 2021 would have a coupon equal to the 5-year par coupon and would have been priced at par. Confirm that your par coupon results in a par price for this bond. (b) Calculate the 6-month forward rates for all the cash-flow dates of your 5-year bond. Confirm that a 5-year floating rate bond with coupons equal to the forward rates prices at par. (c) Consider the case where the Federal Reserve increases rates in a way that results in an increase of all forward rates by 200 basis points: i. Recalculate the price of the fixed-rate bond using the par coupon you calcu- lated in part 4(a) above. Note that the discount factors will have changed because of the parallel shift in the forward curve. Briefly explain the price change or lack thereof. ii. Recalculate the price of the 5-year floating-rate bond. Briefly explain the price change or lack thereof. (d) A security known as an interest-rate swap can be…
Consider a bond with a face value of $1,000 that sells for an initial price of $700. It will pay no coupons for the first nine years and will then pay 11% coupons for the remaining 29 years. Choose an equation showing the relationship between the price of the bond, the coupon (in dollars), and the yield to maturity. O A. B. O C. O D. 700 = 700 = 700 = 700 = 110 110 9 (1+i)⁹ (1+i)⁹+1 + 110 + i) ⁹ + 1 (1 + 1,000 (1+i) 29-9 1,000 (1 + i) 9 +29 + +...+ 110 (1+i) 9+2 + 110 (1 + i)9+29-1 110 + (1 + i) ⁹ + 110 (1+i)9 +29 9+29-1 + 110 (1 + i)9 +29 + 1,000 (1+i) 9+29
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Consider a coupon bond, period t = 0 price $900, with payments: t=0 1 2 3 50 50 1050 Discount (zero coupon) bonds of 1, 2 and 3 years maturity (all with maturity value of $1000) sell for respectively, 960, 900, 820 dollars. Is this coupon bond properly priced? If not, design an arbitrage argument to profit by the mispricing.
BASIC (Questions 1-17) 1. Interpreting Bond Yields Is the yield to maturity on a bond the same thing as the required return? Is YTM the same thing as the coupon rate? Suppose today a 10 percent coupon bond sells at par. Two years from now, the required return on the same bond is 8 percent. What is the coupon rate on the bond now? The YTM? LO 2 LO 2 2. Interpreting Bond Yields Suppose vou buy a 7 percent counon 20-vear
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Suppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) Coupon rate (annual payment) YTM a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. b. What is the zero-coupon yield curve for years 1 through 4? Note: Assume annual compounding. a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. The yield to maturity of a two-year, zero-coupon bond is %. (Round to two decimal places.) b. What is the zero-coupon yield curve for years 1 through 4? The yield to maturity for the three-year and four-year zero-coupon bond is found in the same manner as the two-year zero-coupon bond. The yield to maturity on the three-year, zero-coupon bond is %. (Round to two decimal places.) %. (Round to two decimal places.) The yield to maturity on the four-year, zero-coupon bond is Which graph best depicts the yield curve of the zero-coupon bonds? (Select the best choice below.) O A. 8- 7- 6-…

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