Ahmad deposits $RM10,000$ at the beginning of each year for ten years, into a

financial instrument offering dividend rate of $10\%$ per year. He then withdraws

annualized level payments of $P$ starting at the beginning of eleventh year and

continuing for $15$ years later, at dividend rate of $5\%$ per year. At the end of $25$

years, the fund balance remains zero.

$($a$)$ Find the present value of the annualized deposits he makes.

$($b$)$ Find the annualized level payment of withdraw, $P.$

$($c$)$ Find the balance of the fund at the end of $15$ years starting from the year

he makes his first deposit, just before the next sixth withdraw is being

made.