Suppose tomorrow is the first day of a month. Starting from tomorrow, you will make deposits of

$$500$ at the beginning of each month for $30$ years in an investment account. After $30$ years of

investment, you will withdraw all money from the account to buy a retirement annuity for $35$

years with equal monthly payments $($paid at month$-$end$)$ from a life insurance company. If the

annual rate of return for the deposit is $6\%$ p$.$a$.$ and that for the retirement annuity is $2\mathrm{.}4\%$ p$.$a$.,$

how much is the monthly payment from the insurance company? $($assume monthly compounding$)$