On July $1,2015,$ Janet purchased a corporate bond with a face value of $$40,000$ and coupon rate of $3\mathrm{.}5\%$ compounded semi$-$annually. The bond matures in $20$ years. On July $1,2020,$ Janet decides to sell the corporate bond. How much is the bond worth if interest rate for similar bonds is J$2=2\mathrm{.}8\%.$