On $4$ April $2010$ a company issued a bond with a face value of $$200,000$ that matures exactly $20$ years later. The coupon rate is $9\%$ p$.$a$.$ compounded half$-$yearly. What is the bond's value on $4$ October $2018$ assuming the market yield is $10\%$ p$.$a$.$ compounded half$-$yearly. Please write the answer in two decimal places.