Please make sure to include detailed step-by-step calculations. If possible, describe what you are doing in each step so I can learn the methodology for future problems. Will leave a thumbs up regardless! Thank you :)

1.a) Calculate the markct price of a bond at which it is trading if it has the following characteristics: face value $1,000, matures in 2 years, coupon rate of 10 percent, and YTM (market interest rate) of 12%. (i) What is the current annual yield on the bond? (ii) What will be the annual capital gain rate on your investment in the bond if you were to purchase it at the price at which it is trading? b) Calculate the market price of the bond in part (a) assuming that it matures in 20 years. c) What would be the market price of the bond if the bond were perpetual