$1.$ Calculate the requested measures in parts $($a$)$ through $($f$)$ for bonds A and B $($assume that each bond pays interest semiannually$)$:Bond ABond BCoupon$8\%9\%$Yield to maturity$8\%8\%$Maturity $($years$)25$Par$$100\mathrm{.}00$$$100\mathrm{.}00$Price$$100\mathrm{.}00$$$104\mathrm{.}055($a$)$ What is the price value of a basis point for bonds A and B$?($b$)$ Compute the Macaulay durations for the two bonds.$($c$)$ Compute the modified duration for the two bonds.$($d$)$ Compute the approximate duration for bonds A and B using the shortcut formula by changing yields by $20$ basis points and compare your answers with those calculated in part $($c$).$what is the result if yield changes by $200$ basis points?$($e$)$ Compute the convexity measure for both bonds A and B$.($f$)$ Compute the approximate convexity measure for bonds A and B using the shortcut formula by changing yields by $20$ basis points and compare your answers to the convexity measure calculated in part $($e$).$ what is the result if yield changes by $200$ basis points?