At the end of every month Jeff pays $1,000$ in a fund to generate an additional retirement pay.

The contract, ending at the age of $65,$ foresees a $12-$year term, an interest rate of $6\%$ per year, compounded at the end of each quarter.

Susan, his twin sister, takes a similar contract, but she starts paying $4$ years later $($so her contract term is $8$ years$).$ If she wants to receive the same amount at the age of $65,$ what should be her monthly fee?