On January $1,2010,$ Errinwright Corporation issued $$6,000,000$ of its $6\%,10-$year bonds. The market rate for investments of similar risk is $5\%.$ Interest is paid semiannually on June $30$ and December $31.$ On January $1,2016,$ Errinwright purchased the bonds on the open market at a price of $105.$

What is the carrying value of the portion of bonds that are being retired early at the time of repurchase?

Hint: The answer is $$6,215,104.$ How did they find this?