Bonds K and L both have a face value of $$1,000$ and $15$ years remaining until maturity. Their coupon rates are $6\%$ and $8\%$ respectively,. If the prevailing market rate decreases from $7\mathrm{.}5\%$ to $6\mathrm{.}5\%$ compounded semiannually, calculate the price change of each bond: $$ a$.$ In dollars. $($Round your answer to the nearest cent.$)$ K$\text{'}$s price rises by$$$ L$\text{'}$s price rises by$$$ $$ b$.$ As a percentage of the initial price. $($Round your answer to two decimal places.$)$ K$\text{'}$s price rises by$\%$ L$\text{'}$s price rises by$\%$