ce amount Present value of the semiannual interest payments
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Will the bond proceeds always be less than the face amount of the bonds when the contract rate is less than the market rate of interest? Yes or No
5. Compute the price of $42,309,236 received for the bonds by using the present value tables in Appendix A. Round your PV values to 5 decimal places and the final answers to the nearest dollar. Your total may vary slightly from the price given due to rounding differences.
Present value of the face amount | |
Present value of the semiannual interest payments | |
Price received for the bonds |
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- Consider the following bonds: Bond A B CD с Coupon Rate (annual payments) 0.0% 0.0% 4.3% 7.7% The percentage change in the price of bond A is |___%. (Round to one decimal place.) What is the percentage change in the price of each bond if its yield to maturity falls from 6.9% to 5.9%? The percentage change in the price of bond B is %. (Round to one decimal place.) Maturity (years) 15 The percentage change in the price of bond C is %. (Round to one decimal place.) The percentage change in the price of bond D is %. 21500Bond 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 % %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%…
- A plot of the yields on bonds with different terms to maturity but the same risk, liquidity, and tax considerations is known as O A. a yield curve. B. a risk-structure curve. OC. a term-structure curve. 5- O D. an interest-rate curve. Suppose people expect the interest rate on one-year bonds for each of the next four years to be 3%, 6%, 5%, and 6%. If the expectations theory of the term structure of interest rates is correct, then the implied interest rate on bonds with a maturity of four years is nearest whole number). %. (Round your response to the 2- Refer to the figure on your right. Suppose the expected interest rates on one-year bonds for each of the next four years are 4%, 5%, 6%, and 7%, respectively. 1. 1.) Use the line drawing tool (once) to plot the yield curve generated. 3 Term to Maturity in Years 2.) Use the point drawing tool to locate the interest rates on the next four years. 5. 3- Interest Rate .....Calculate the purchase price of the following bonds. Indicate whether the bonds are priced at a discount, at par or at a premium. Give your answers in dollars and cents to the nearest cent. Face Value Coupon Rate Years to Maturity Market Rate a) $100 r = 6.75% 5 j2 = 6.75% b) $1,000 r = 8% 11 j2 = 6.25% c) $10,000 r = 7% 20 j2 = 8.75% Quoted coupon rates and market rates are nominal annual rates compounded semi-annually. a)Price = $ This bond is priced at:a discountpara premium b)Price = $ This bond is priced at:a discountpara premium c)Price = $ This bond is priced at:a discountpara premiumSuppose the returns on long-term government bonds are normally distributed. Assume long-term government bonds have a mean return of 6.1 percent and a standard deviation of 9.8 percent. What is the approximate probability that your return on these bonds will be less than −3.7 percent in a given year? Use the NORMDIST function in Excel® to answer this question. Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. What range of returns would you expect to see 95 percent of the time? Note: A negative answer should be indicated by a minus sign. Enter your answers from lowest to highest. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. What range would you expect to see 99 percent of the time? Note: A negative answer should be indicated by a minus sign. Enter your answers from lowest to highest. Do not round intermediate calculations and enter…
- Using semiannual compounding, find the prices of the following bonds: a. A 9.8%, 15-year bond priced to yield 7.7%. b. A 7.3%, 10-year bond priced to yield 9.4%. c. A 11.6%, 20-year bond priced at 9.5%. Repeat the problem using annual compounding. Then comment on the differences you found in the prices of the bonds. a1. Using semiannual compounding, the price of the bond is $nothing. (Round to the nearest cent.)Excel Activity: Bond Valuation Clifford Clark is a recent retiree who is interested in investing some of his savings in corporate bonds. His financial planner has suggested the following bonds: • Bond A has a 10% annual coupon, matures in 12 years, and has a $1,000 face value. • Bond B has an 8% annual coupon, matures in 12 years, and has a $1,000 face value. • Bond C has a 12% annual coupon, matures in 12 years, and has a $1,000 face value. Each bond has a yield to maturity of 10%.Unlike the coupon interest rate, which is fixed, a bond's yield varies from day to day depending on market conditions. To be most useful, it should give us an estimate of the rate of return an investor would earn if that investor purchased the bond today and held it for its remaining life. There are three different yield calculations: Current yield, yield to maturity, and yield to call. A bond's current yield is calculated as the annual interest payment divided by the current price. Unlike the yield to maturity or the yield to call, it does not represent the actual return that investors should expect because it does not account for the capital gain or loss that will be realized if the bond is held until it matures or is called. This yield was popular before calculators and computers came along because it was easy to calculate; however, because it can be misleading, the yield to maturity and yield to call are more relevant. The yield to maturity (YTM) is the rate of return earned on a…
- Suppose 1-year Treasury bonds yield 4.40% while 2-year T-bonds yield 5.70%. Assuming the pure expectations theory is correct, and thus the maturity risk premium for T-bonds is zero, what is the yield on a 1-year T-bond expected to be one year from now? Do not round your intermediate calculations. Round your final answer to 2 decimal places. a. 7.02% b. 5.66% c. 5.05% Od. 4.92% e. 7.32%Let's denote the price of a nonmaturing bond (called a consol) as P. The equation that indicates this price is Pn =-, where I is the annual net income the bond generates and r is the nominal market interest rate. a. Suppose that a bond promises the holder $200 per year forever. The nominal market interest rate is 6 percent. Calculate the bond's current price: S. (Round your answer to the nearest whole dollar.)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.)