You are planning for your financial retirement. You want to retire at $60.$ You plan to have an endowment fund that will give you a monthly income of RM $10,000$ per month after retirement.

You think you can do it by contributing to the Employees Provident Fund $($EPF$)$ and earn about $6\%$ per annum.

$1.$Determine how much endowment fund you need at retirement point to earn the RM $10,000$ per month, assuming EPF will continue declaring a $6\%$ dividend per annum.

$2.$Determine how much saving per month that you need to make over the $30$ years to meet the target endowment fund $?$

$3.$What will be the challenge in achieving the above target $?$