Sarah just used $97.24 purchased a Treasury bond. Assume that the yield rate for this bond is j₂ =4.39% p.a. and the duration of this bond is 2.04 years. Without actually calculating the new price for this bond, use the bond price and the duration value to estimate (use the price sensitivity formula) the change in price of this bond that would result from an increase in yield rate (2) of 14 basis points. Round your answer to four decimal places. a. -0.2660 O b. -0.1330 O c. -0.2718 d. -0.1359
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- Calculate the modified duration of a bond that pays an annual coupon at a rate of 6% and matures in 2 years. This bond has a face value of 1,000 and is currently selling at a yield of 8%. Show calculations. Using just modified duration, if yield changes by 0.5%, what is the expected change in the price of the bond? Show calculations. Use the timeline method for this. Solving this in a calculator or at some other website that allows you to solve this kind of question and just putting the value is not going to be an acceptable answer.Consider a bond that has just paid a semi-annual coupon and has exactly 2.5 years to maturity and an annual coupon rate of 3.5%. Price the bond with a yield 4.2%. This is an annuity calculation and the stated yield and stated coupon are double the semi-annual yield and coupon. Use Table 6.1. (Do not round Intermediate calculations. Round the final answer to 2 decimal places. Omit $ sign In your response.) Price of the bond $Lantech investor is deciding between two bonds: Bond A pay $72 annual interest and has a market value of $925. It has 10 years to maturity. Bond B pays $62 annual interest and has a market value of $910. It has two years to maturity. Par value of the bonds is $1,000. A. What is the current yield on both bonds? B. Which bond should be chosen and why? C. A drawback of current yield is that is doesn't consider the total life of the bond. E.g. Yield to maturity on Bond A is 8.33 percent. What is the yield to maturity on Bond B? D. Is your answer changed from parts B and C based on which bond should be chosen?
- 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…Use Macauly's Duration Price Approximation formula for this. Before a change in interest rates, your bond has the following characteristics: present value of $5,557.56, Duration of 3.69 years with market interest rates of 5%. Calculate the percentage change in the bond's price if market rates fall to 4.85%. Be sure to include the negative sign IF you think the price goes down. ISolve the following questions without using Excel. A 5 year bond with a coupon of 7%, that pays interest annually, has its next coupon due in 12 months. It yields 5% per annum. a) compute the duration of the bond. Use this to compute approximately how the price of the bond will change if yields rise to 6%. (b) Compute the convexity of the bond. Use this to obtain a more precise estimate of the change in the price which will occur if the yield rises to 6%.
- You are considering two bonds. Bond A has a 9% annual coupon while Bond B has a 6% annual coupon. Both bonds have a 7% yield to maturity, and the YTM is expected to remain constant. Which of the following statements is CORRECT? State your reason for the answer. The price of Bond A will decrease over time, but the price of Bond B will increase over time. The price of Bond B will decrease over time, but the price of Bond A will increase over time. The prices of both bonds will remain unchanged. The prices of both bonds will increase by 7% per year. The prices of both bonds will increase by 9% per year.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 5You invested in a corporate bond that has a market price today of R1043.22 and a yield to maturity of 7%. This bond has a modified duration of 4.7. You believe that interest rates are going to rise by 195 basis points. What price do you expect your bond to trade at if this anticipated change in the yield occurs? Use the duration rule to calculate your answer, in Rands (R), correct to TWO decimal places.
- 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?Based on the following data, calculate an expected price and standard deviation. (Face value= 1,000 I = 7%) Maturity of the bond is 4 years; you are going to sell it next year, so that remaining maturity is 3 years Probability Required Yield Price Prob* Price Prob (P-EP) 2 0.5 7.00% 0.1 7.20% 0.4 7.40% What is your expected price when you sell the bond? What is the standard deviation of the bond price?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)?