You are planning for a very early retirement. You would like to retire at age $40$ and have enough money saved to be able to withdraw $$230,000$ per year for the next $40$ years $($based on family histo you think you will live to age $80).$ You plan to save by making $15$ equal annual installments $($from age $25$ to age $40)$ into a fairly risky investment fund that you expect will earn $14\%$ per year. You wi leave the money in this fund until it is completely depleted when you are $80$ years old.

Read the requirements.

View the Present Value of $$1$ table.

View the Future Value of $$1$ table.

View the Present Value of Ordinary Annuity of $$1$ table.

Miew the Future Value of Ondinary Annuity of $$1$ table.

Requirement $1.$ How much money must you accumulate by retirement to make your plan work? $($Hint: Find the present value of the $$230,000$ withdrawals.$)($Round your final answer to the neare whole dollar.$)$

Money to be accumulated by the time of retirement $=$