UBond J has a coupon rate of $4\mathrm{.}5$ percent. Bond K has a coupon rate of $14\mathrm{.}5$ percent. Both bonds have eight years to maturity, a par value of $$1,000,$ and a YTM of $10$ percent, and both make semiannual payments.

If interest rates suddenly rise by $3$ percent, what is the percentage change in the price of these bonds?