In this question I want you think about what happens to bond prices over time. Suppose that you purchased a bond with the following characteristics:Face Value = $ 100,000, Annual payments, Coupon rate 6%, Maturity 20 years. Please answer the following questions:1 ptsS [1] The yield to maturity for similar bonds is 2%. Assume the yield remains at this level. [a] How much did you pay for the bond at time zero, (price of the bond at time 0)? [b] What is the price of the bond at time 1, after the first coupon has been paid?[cl What is the price at time 2? [d] is the price increasing or decreasing over time?[2] Now, assume that the YTM is 10%. Compute the prices at time 0, 1, and 2. Is the price increasing or decreasing over time?[3] Compare [1] and [2]. Is this what you expected? Why is the price falling in one of the cases, and increasing in the other? Is this going to be true for other bonds? Can you provide either a finance intuition or a math proof to support your claim?

In this question I want you think about what happens to bond prices over time. Suppose that you purchased a bond with the following characteristics:Face Value = $ 100,000, Annual payments, Coupon rate 6%, Maturity 20 years. Please answer the following questions:1 ptsS [1] The yield to maturity for similar bonds is 2%. Assume the yield remains at this level. [a] How much did you pay for the bond at time zero, (price of the bond at time 0)? [b] What is the price of the bond at time 1, after the first coupon has been paid?[cl What is the price at time 2? [d] is the price increasing or decreasing over time?[2] Now, assume that the YTM is 10%. Compute the prices at time 0, 1, and 2. Is the price increasing or decreasing over time?[3] Compare [1] and [2]. Is this what you expected? Why is the price falling in one of the cases, and increasing in the other? Is this going to be true for other bonds? Can you provide either a finance intuition or a math proof to support your claim?

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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Assume that the yield curve is YT = 0.04 + 0.001 T. (a) What is the price of a par - $1,000 zero - coupon bond with a maturity of 10 years? (b) Suppose you buy this bond. If 1 year later the yield curve is YT = 0.042 + 0.001 T, then what will be the net return on the bond?
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-…
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…
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)?
In this problem we are going to calculate bond prices and returns Suppose that the yield on a 3 year note is 2.5%. a) Calculate the price of the 3 year note (face value = $1000) with three annual coupon payments (after year 1, after year 2, after year 3) of $30, i.e., the coupon rate is 3.0%. b) Is this note selling at a discount or premium? Explain. Suppose that after one year and after you receive one coupon payment, you decide to sell your note. Your note is now a two year note with one coupon payment after 1 year and another after year 2. Consider the following two scenarios: Scenario #1 - interest rates on what is now a two year note (i.e., your note) have fallen to 1.00% Scenario #2 - interest rates on what is now a two year note (i.e., your note) have risen to 4% c) given scenan d) Calculate the price that you can sell your note for under scenario #1 and the associated rate of return when you sell your note Calculate the price that you can sell your note for under scenario #2…
Subject:- finance
If you have a coupon bond, its face value is $1,000 and the coupon rate is 4%. Complete the following table, then calculate the rate of return for the bond. If you know that it was purchased at the nominal value, comment on the results. due date return at maturity the price 2 0.02 3 0.04 5 0.06 Present Value Annuity value % n value % n 0.961 0.02 2 1.97 0.02 2 0.925 0.04 2 1.89 0.04 2 0.889 0.04 3 2.78 0.04 3 0.906 0.02 5 4.71 0.02 5 0.747 0.06 5 4.21 0.06 5
Suppose 2-year Treasury bonds yield 4.1%,while 1-year bonds yield 3.2%. r* is 1%, and the maturity risk premium is zero.a. Using the expectations theory, what is the yield on a 1-year bond, 1 year from now?Calculate the yield using a geometric average.b. What is the expected inflation rate in Year 1? Year 2?
The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). a. Suppose that today you buy an annual coupon bond with a coupon rate of 8.3 percent for $785. The bond has 8 years to maturity and a par value of $1,000. What rate of return do you expect to earn on your investment? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b-1. Two years from now, the YTM on your bond has declined by 1 percent, and you decide to sell. What price will your bond sell for? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. b-2. What is the HPY on your investment? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. a. Rate of return b-1. Price b-2. Holding period…
you re creating a yield curve in order to price some forward rate agreements. You have assembled the following prices for bonds (all of which pay semi-annual coupons): Maturity Coupon (per annum) Price (per $100 face value) 6 months 2.25% 98.1363 12 months 1.75% 95.3758 18 months 6.50% 99.1579 (a) What are the discount factors for: i. 6 months? ii. 12 months? iii. 18 months? (b) What is the 6-18 month forward rate, quoted with semi-annual compounding?
Suppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) 1 Coupon rate (annual payments) 0.00 YTM 2.000% 2 10.00 3.908% Show your work in Excel Solution. 3 6.00 5.840% 4 12.00 5.783% 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?
For time value of money calculations (circle all that apply): Increasing i increases present value Increasing i increases future value More frequent compounding increases future value More frequent discounting increases present value n is always expressed in years

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