A $5-$year annuity$-$immediate pays $10$ at the end of each month for $6$ months, $20$ at the end of each month for the next $6$ months, $30$ at the end of the next $6$ months, and so on until a final payment of $100$ is made at the end of $5$ years.

The nominal annual interest rate is $6\%$ compounded monthly.

Calculate the present value of the annuity$-$immediate.