You find a bond with 27 years until maturity that has a coupon rate of 9 percent and a yield to maturity of 10 percent. What is the Macaulay duration? The modified duration? Note: Do not round intermediate calculations. Round your answers to 3 decimal places.
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- 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. %What is the Macaulay duration of a bond with a coupon of 5.8 percent, eleven years to maturity, and a current price of $1,060.10? What is the modified duration? (Do not round intermediate calculations. Round your answers to 3 decimal places.)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 $
- 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…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.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%…
- 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.What is the Macaulay duration of a 5 percent coupon bond with seven years to maturity and a current price of $1,050.70? What is the modified duration? (Do not round intermediate calculations. Round your answers to 3 decimal places). Stepwise pls with explanation.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.)
- Suppose 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.What is the Macaulay duration of a 7 percent semiannual coupon bond with two years to maturity and a current price of $1,055.30? (Note: You are required to solve the problem by calculating "Years \times PV / Bond Price" for each cash flow and summing the results. YTM and PV must be calculated using a financial calculator. Round your answer to four decimal places.)The current zero-coupon yield curve for risk-free bonds is as follows: What is the risk-free interest rate for a five-year maturity? The risk-free interest rate for a five-year maturity is _____%. (Round to two decimal places.)