You are $35$ years old today. You will start saving in one month. You will save every month up to $($and including$)$ your $65$th birthday. You will retire on your $65$th birthday. You will earn $8\mathrm{.}0\%$ per annum on your savings. You will commence withdrawing your retirement income one month after your $65$th birthday. Your retirement withdrawal is $$7000$ per month. You will make your last withdrawal on your $90$th birthday. You also want to give your children a gift of $$550000$ on your $90$th birthday. Your rate of return in retirement is only $5\mathrm{.}0\%$ per annum $($because you invest in less risky securities$).$ How much should you save each month for retirement? Round your answer to $2$ decimal places.