Use Macauly's Duration Price Approximation formula for this. Before a change in interest rates, your bond has the following characteristics: present value o $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.

Use Macauly's Duration Price Approximation formula for this. Before a change in interest rates, your bond has the following characteristics: present value o $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.

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 that you have invested in a Treasury bond with a term-to-maturity of 8 years. What will happen to the duration of your bond if interest rates increase by 2 percentage points? Group of answer choices The duration will increase The duration will decrease The duration won't change Not enough information
PICK ONE: Explain why YOU: Suppose that 6 months after you purchase the bond, the market rate for interest on this type of bond falls to 7.00%. This will cause the (coupon / market price / par value) to (fall / rise). From the issuer’s perspective, the lower interest rate means that he or she would be (worse / better) off issuing new bonds at this lower rate than continuing to pay you 9%.
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.)
You have purchased a bond for $973.02. The bond has a coupon rate of 6.4%, pays interest annually, has a face value of $1,000, 4 years to maturity, and a yield to maturity of 7.2%. You expect that interest rates will fall by .3% later today. a) Calculate the bond’s macauly duration b) Use the modified duration to find the approximate percentage change in the bond's price. Find the new price of the bond from this calculation. c) Suggest how the estimate in part (b) can be improved.
Suppose the interest rate on a 1-year T-bond is 2.60% and that on a 2-year T-bond is 4.50%. Assume that the pure expectations theory is NOT valid, and the MRP is zero for a 1-year T-bond but 0.30% for a 2-year bond. What is the equilibrium market forecast for 1-year rates 1 year from now? a. 4.7333% b. 5.1110% c. 5.2676% d. 5.5463% e. 5.8250%. Only typing answer Please explain step by step
Suppose the current yield on a one-year zero-coupon bond is 4%, while the yield on a five-year zero-coupon bond is 6%. Neither bond has any risk of default. Suppose you plan to invest for one year. You will earn more over the year by investing in the five-year bond as long as its yield does not rise above what level? (Assume $1 face value bond.) Hint: It is best not to round intermediate calculations-make sure to carry at least four decimal places in intermediate calculations. Note: Assume annual compounding. The yield should not rise above %. (Round to two decimal places.)
Consider a bond with a coupon of 5 percent, seven years to maturity, and a current price of $1,052.80. Suppose the yield on the bond suddenly increases by 2 percent. a. Use duration to estimate the new price of the bond. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Price b. Calculate the new bond price using the usual bond pricing formula. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Price
Calculate YTC using a financial calculator by entering the number of payment periods until call for N, the price of the bond for PV, the interest payments for PMT, and the call price for FV. Then you can solve for 1/YR YTC. Again, remember you need to make the appropriate adjustments for a semiannual bond and realize that the calculated 1/YR is on a periodic basis so you will need to multiply the rate by 2 to obtain the annual rate. In addition, you need to make sure that the signs for PMT and FV are identical and the opposite sign is used for PV; otherwise, your answer will be incorrect. A company is more likely to call its bonds if they are able to replace their current high-coupon debt with less expensive financing. A bond is more likely to be called if its price is above par-because this means that the going market interest rate is less than its coupon rate. Quantitative Problem: Ace Products has a bond issue outstanding with 15 years remaining to maturity, a coupon rate of 8.4%…
The bond J is a bond with a coupon rate of 4%. The bond K is a bond with a coupon rate of 10%. Both bonds have a maturity of 8 years, make semi - annual payments, and have a yield to maturity of 9%. If interest rates suddenly increase by 2%, what is the percentage change in the price of these bonds? And if the rates suddenly decrease by 2%? What does this problem teach you about the interest rate risk of low - coupon bonds?
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?
Bond J has a coupon of 6.4 percent. Bond K has a coupon of 10.4 percent. Both bonds have 20 years to maturity and have a YTM of 7.8 percent. a. If interest rates suddenly rise by 1.2 percent, what is the percentage price change of these bonds? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Bond J Bond K %A in Price % % b. If interest rates suddenly fall by 1.2 percent, what is the percentage price change of these bonds? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. %A in Price Bond J % Bond K %
Duration and price sensitivity a) Calculate the duration and modified duration of a bond with a face of $1,000, a 6% coupon rate, and a 5% YTM with 1 payment per year and a maturity of 10 years, using the Excel DURATION and MDURATION formulas. b) Calculate the following: 1. What are the approximate percentage and dollar changes in price for a 1% change in interest rates using the duration approximation formula? 2. What are the actual percentage and dollar changes in price if interest rates increase by 1%?

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