You are planning to save for retirement for the next $45$ years, hence you invest $30000$ in a

share account with an annual equivalent rate of return of $6\mathrm{.}5\%,$ to be compounded monthly.

After $10$ years you decide to deposit another $25000$ into the share account, to be compounded

monthly at the same rate as the sum before. When you retire, you will transfer all your earnings

into a pension pot with a $0\mathrm{.}5\%$ monthly rate of return. How much can you withdraw each month

from your account, assuming a $30-$year withdrawal period?