Deposits $$10,000$ 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$.$Calculate the present value of the annualized deposits he makes.

By using annuity due n$=10$ and i$=10\%$ we got $$67590\mathrm{.}24$

b$.$ Calculate the annualized level payment of withdraw, p

p$=$$$16085\mathrm{.}64.$

c$.$ Determine 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.

Find c show the calculation detail.

Please check all the answer given.