A company plans to make four annual deposits of $$200,000$ each to a special building fund. The fund's assets will

be invested in mortgage instruments expected to pay interest at $12\%$ on the fund's balance. Determine how much

will be accumulated in the fund after four years under each of the following situations:

The $$200,000$ annual deposits are made at the end of each of the four years and interest is compounded

annually.

The $$200,000$ annual deposits are made at the beginning of each of the four years and interest is compounded

annually.

The $$200,000$ annual deposits are made at the beginning of each of the four years and interest is compounded

quarterly.

The $$200,000$ annual deposits are made at the beginning of each of the four years interest is compounded

annually, and interest earned is withdrawn at the end of each year.