Suppose ABC Bank purchased GHS $20$ million of such bonds and the yield to maturity of thebond is $15\%$ on the market:i$.$ Calculate the duration of the bond.ii$.$ An analyst with ABC Bank forecasts that the interest rate will rise by $0\mathrm{.}5\%$ nextmonth. What is the change in the price of the bond?iii. Estimate the percentage change in the price of the bond.iv$.$ What is the dollar change in the price of the bond?v$.$ Calculate the new price of the bond on the market.