$4.$ Bond J and Bond K are $12\%$ coupon bonds, and both make semiannual payments. Bond J has $20$ years to maturity, and Bond K has $2$ years to maturity. Both bonds have a YTM of $10\%.$ If interest rates suddenly rise by $2\%,$ what is the percentage price change of these bonds? What if rates suddenly fall by $2\%$ instead? What does this problem tell you about the interest rate risk of long$-$term bonds?