How to solve this in details please (without the use of excel)

You have purchased a bond for $892. The bond has a coupon rate of 4%, pays interest annually, hasa fa to maturity of 7.2%. The bond's duration is 3.6481 years. 27. ce value of $1,000, 4 years to maturity, and a yield You expect that interest rates will fall by 30 basis points later today. Find the approximate percentage change in the bond's price and find the new price of the bond from this calculation. Use your calculator to do the regular present value calculations to find the bond's new price at its new yield to maturity What is the amount of the difference between the two answers? Why are your answers different