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- 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…Using a spreadsheet, find the yield-to-maturity (YTM) on an 8-year, 6% coupon bond such that the present value of its coupons equals the present value of its par value. Report your answer as a percentage with 2-digit precision (ex. show 12.3456% as 12.35). hint: "Goal seek"Calculate the duration (and price) of a bond with the following characteristics: A semi-annual payment bond with a $1,000 face value, a 4,5% coupon rate, a 7.8% YTM, and 8 years to maturity. Show your table of calculations or show Excel inputs if using the Excel commands.
- 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%…Suppose you looking at a certain bond whose current market price is $935. The bond has a 6.00% coupon rate, pays annual coupon payments and has a 12 year maturity. Assume also that the current open market YTM is 7.00%. Based upon this information, answer the following questions. [3 parts] Show all work. Clearly label your answers for Part A, Part B, and Part C. Carry all calculations out to four (4) decimal places (except dollars and cents). Highlight in bold your answer. a) Based upon the bond’s features, determine what the bond’s current price ($) should be. (Use the present value method to determine the price) b) Based upon your calculated price in Part 1, is the open market price of the bond correct? If the bond is over/under priced, by how much is the bond mispriced? c) Based strictly upon your answer in part 2, would you buy the bond? Explain your answer.Show all workings. Complete the following table and draw a graph showing how bond pricefor each bond changes over time as they move towards their maturitydates. Describe the relationship between bond prices and timeremaining for maturity.YearsreminingtomaturityBOND ACoupon rate = 8% p.a.Market interest rate =6% p.a.BOND BCoupon rate = 6% p.a.Market interest rate =6% p.a.BOND CCoupon rate = 4% p.a.Market interest rate =6% p.a.109876543210
- Consider a bond with a 4% annual coupon and a face value of $1,000. Complete the following table. What relationships do you observe between years to maturity, yield to maturity, and the current price?Consider a bond with maturity 2 year, 100 face value, coupon 3.60%, and yield 7.20%. Compute a dollar duration numerically using a dy =0.001%, Report you result with two digits decimal accuracy and the correct sign. Example:-185.95 Blank Excel Worksheet Your Answer: AnswerUsing Excel, compute yield-to-maturity for the following bonds (report your Excel formulas and their inputs): Price = 90, Fixed Coupon Rate = 5%, Maturity = 5 years, Coupon Frequency = 1 b. Price = 90, Fixed Coupon Rate = 5%, Maturity = 5 years, Coupon Frequency = 2 Price = 90, Fixed Coupon Rate = 5%, Maturity = 5 years, Coupon Frequency = 4 а. %3D %3D С. %3D For each bond above, compute the Effective Annual Rate so that you can directly compare the bonds with different coupon payment frequencies. Based on these comparable effective annual rates, which bond has the highest expected return? How does the effective annual rates differ from yield-to-maturities computed in above? What is the explanation of these differences?|
- Consider a bond that has a price of $1046.76, a coupon rate of 8.8%, a yield to maturity of 8.1%, a face value of $1000, and 10 years to maturity. What is the current yield? Enter your answer as a percentage. Do not include the percentage sign in your answer. Enter your response below. Enter your answer to 2 DECIMAL PLACES. Number %Suppose that a bond with an 8% coupon rate and semiannual coupons has a face value of $1,000, 10 years to maturity. The required rate (Yield to Maturity, YTM) is 5%. Draw a timeline to identify the amount and timing of cash flows obtained with the bond and calculate the bond value. Redo part (a) if YTM is 10%. Next, use the results of parts (a) and (b) to show the relationship among YTM, coupon rate and bond value.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