Both Bond Sam and Bond Dave have $9\mathrm{.}8$ percent coupons, make semiannual payments and are priced at par value. Bond Sam has $7$ years to maturity, whereas Bond Dave has $24$ years to maturity. Both bonds have a par value of $1,000.[$hint: recall the relationship between coupon rate and YTM when a bond is priced at par value?$]$

a$.$ If market interest rates $($discount rate$)$ suddenly rise by $2$ percent, what would be the price of these bonds?

b$.$ What would be the percentage change in the price of these bonds?

Please answer what the price of the bond would be forboth Sam and Dave and then also th epercentage change in price for both Same and Dave.