2) You are a portfolio manager and responsible to manage bonds portfolio. One of your clients (John Smith) purchased a 30-year, 6% coupon bond that pays interest annually. The bond has a face value of $1,000. What is the change in the price of this bond if the market yield to maturity increases to 6.20% from the current rate of 4.50\%? Please show all the calculations by which you came up with the final answer. Why did the 30 -year bond price change? Please explain your reasoning. (4 Points)