Your employer offers a $401($k$)$ plan with a $38\%$ match, and you set a goal of retiring in $30$ years with an amount of money which has the same buying power that $1$ million dollars has today. If the account earns an annual interest rate of $4\mathrm{.}4\%$ and the expected annual rate of inflation is $1\mathrm{.}5\%,$ how much should you contribute each month?$\text{'}$