An insurance company wishes to offer customers a monthly installment alternative to the annual premium plan. All premiums are payable at the beginning of the period of coverage. The monthly payment plan is to include an interest charge of $12\%$ compounded monthly on the unpaid balance of the annual premium.

What will be the monthly premium per $$100$ of annual premium? $($Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$

The monthly premium per $$100$ of annual premium is $