Find the yield to maturity for this floating rate note: The reset date is today; coupons are paid annually according to the formula (LIBOR + 1/4 percent); since issuance, there has not been a change in the issuer's credit rating. The bond has ten years to maturity and LIBOR = 3.5 percent. A) 3.5 percent B) 4 percent C) 3.75 percent D) There is not enough information provided to make a determination.
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- The term structure of interest rates has the following annual effective rates of interest for zero-coupon bonds. Maturity (Year) Annual Effective Yield on Zero-Coupon Bond 1 0.05 0.0525 0.055 3 At time 0, find the one-year forward one-year deferred and one-year forward two-year deferred annual effective forward rates of interest. For an interest only loan, find the level interest payment at the end of each year for three years that has the same present value as the payments based on the forward rates at those times.What do you have to do to the interest rate and years of maturity if a bond pricing problem tells you that interest is compounded quarterly?You have discovered that when the required rate of return on a bond you own fell by 0.5 percent from 9.6 percent to 9.1 percent, the fair present value rose from $940 to $965. The bond pays interest annually. What is the duration of this bond? Assume annual payments. (Do not round intermediate calculations. Round your answer to 1 decimal place. (e.g., 32.1)) Duration of this bond 5.7 X years
- Consider the following: Price Yield to maturity Periods to maturity Modified duration Fixed-rate Bond Fixed-rate Note 107.18 5.00% 18 6.9848 100.00 5.00% 8 3.5851 a. For an increase in interest rates of 100 basis points, determine the change in value for the fixed-rate note. Show your work. b. For an increase in interest rates of 100 basis points, determine the change in value for the fixed-rate bond. Show your work. c. Which of the two fixed-rate securities are more sensitive to increases interest rates? Why? d. What would be the most appropriate course of action to take given interest rates are expected to rise? Explain carefully.c. How do the interest rate changes affect premium bonds and discount bonds?Bonds, in general, (decrease or increase) in price when interest rates go up. When interest rates decrease, bond prices (decrease or increase) .d. Suppose the bond were to mature in 12 years. What will be the bond’s price if rates in the market (i) decrease to 9.86 percent or (ii) increase to 13.86 percent? (Round intermediate calculations to 2 decimal places, e.g. 1.25 and final answer to 2 decimal places, e.g. 15.25.) (i) Bond's price if rate decrease to 9.86 percent $ (ii) Bond's price if rate increase to 13.86 percent $In the following problems, assume that the coupon rate is compounded semi-annually, and bonds are redeemable at par on maturity, unless otherwise stated. Calculate the missing values for Problems 1 and 2. 1. Face Value $1000.00 b. $10,000.00 ? Redemption Coupon Yield Value Rate Rate ? ? $20,000.00 7.10% 4.65% 2.30% 7.10% 3.80% 3.30% Purchase Date April 01, 2018 July 06, 2017 ? Redemption Date October 01, 2018 P October 20, 2029 Maturity ? 2.5 years 10 years Sold at Par/ at a Discount/ at a Premium ? 7 ?
- Forecasting interest rates Assume the current interest rate on a one-year treasury bond(1R1) is 4.50 percent, the current rate on a two-year treasury bond (1R2) is 5.25 percent, and the current rate on a three-year treasury bond (1R3) is 6.50 percent. If the unbiased expectations theory of the term structure of interest rates is correct, what is the one-year forward rate expected on treasury bills during year 3, 3f1?. On December 6, the interest rate on a 1-year T-note was 4.73% and for the 2-year T-note was 4.34%. Assume there is a 0.1% (0.001 in decimals) liquidity premium on the 2-year rate vs the 1-year rate. What is the 1-year rate the markets expected to see in 1-year (i.e., 12/6/23)?Bond J has a coupon rate of 5 percent and Bond K has a coupon rate of 11 percent. Both bonds have 14 years to maturity, make semiannual payments, and have a YTM of 8 percent. If interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds? (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Percentage change in price of Bond Percentage change in price of Bond J K Percentage change in price of Bond Percentage change in price of Bond J What if rates suddenly fall by 2 percent instead? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.). % K % % %
- Bond J has a coupon rate of 6 percent and Bond K has a coupon rate of 12 percent. Both bonds have 14 years to maturity, make semiannual payments, and have a YTM of 9 percent. a. If interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. What if rates suddenly fall by 2 percent instead? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) a. b. Bond J Bond K Bond J Bond K % % % %Bond J has a coupon rate of 5 percent. Bond K has a coupon rate of 15 percent. Both bonds have eight years to maturity, a par value of $1,000, and a YTM of 11 percent, and both make semiannual payments. a. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. b. If interest rates suddenly fall by 2 percent instead, what is the percentage change in the price of these bonds? Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. a. Percentage change in price b. Percentage change in price Bond J % % Bond K % %Bond J has a coupon rate of 7 percent and Bond K has a coupon rate of 13 percent. Both bonds have 16 years to maturity, make semiannual payments, and have a YTM of 10 percent. a. If interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e. g., 32.16.) b. What if rates suddenly fall by 2 percent instead? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)