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 $
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- Suppose the current interest rate on a one-year bond is 2% and the current interest rate on a two-year bond is 4%. The term premium on a two-year bond is 1%. According to the expectations hypothesis, what interest rate should we expect on a one-year bond next year? Answer as a percentage to one decimal place and do not include symbols (e.g. $, %, commas) in your answer. Answer:Today, interest rates on 1-year T-bonds yield 1.4%, interest rates on 2-year T-bonds yield 2.3%, and interest rates on 3-year T-bonds yield 3.2%.a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Round your answer to four decimal places. Do not round intermediate calculations. % b. If the pure expectations theory is correct, what is the yield on 2-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Round your answer to four decimal places. Do not round intermediate calculations. % c. If the pure expectations theory is correct, what is the yield on 1-year T-bonds two years from now? Be sure to use a geometric average in your calculations. Round your answer to four decimal places. Do not round intermediate calculations. %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%…
- 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…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: AnswerSuppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Price $983.78 865.89 797.92 732.00 660.24 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4?
- Suppose that you buy a 1-year maturity bond with a coupon of 7% paid annually. If you buy the bond at its face value, what real rate of return will you earn if the inflation rate is 4%? 6%? 8%? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign.)Today, interest rates on 1-year T-bonds yield 1.2%, interest rates on 2-year T-bonds yield 2%, and interest rates on 3-year T-bonds yield 3.3%. a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places.Today, interest rates on 1-year T-bonds yield 1.3%, interest rates on 2-year T-bonds yield 2.1%, and interest rates on 3-year T-bonds yield 3.7%.a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. b. If the pure expectations theory is correct, what is the yield on 2-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. c. If the pure expectations theory is correct, what is the yield on 1-year T-bonds two years from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places.
- Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4? Required A Price $940.93 Complete this question by entering your answers in the tabs below. 868.39 800.92 735.40 670.48 Required B Maturity (years) 2 3 Calculate the forward rate of interest for each year. Note: Round your answers to 2 decimal places. Required C Forward Rate % % Prov 12 of 12 NextSuppose the interest rate on a 1-year T-bond is 6.3 % and that on a 3 year T-bond is 7.3 %. Assuming the pure expectations theory is correct, what is the market's forecast for 2-year rates 1 year from now? Enter your answer as a percentage and do not use the % symbol.Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Show Transcribed Text B) How could you construct a 1-year forward loan beginning in year 3? (Face Value) C) How could you construct a 1-year forward loan beginning in year 4? (Face Value) Required A Required B Complete this question by entering your answers in the tabs below. Face value Rate of synthetic loan → Show Transcribed Text Price $ 970.93 898.39 836.92 How could you construct a 1-year forward loan beginning in year 3? Note: Round your Rate of synthetic loan answer to 2 decimal places. Required A 776.20 685.42 Required B Face value Rate of synthetic loan Required C 7.85 % Required C How could you construct a 1-year forward loan beginning in year 4? Note: Round your Rate of synthetic loan answer to 2 decimal places. Ċ 13.29 %