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 $$240,000$ per year for the next $30$ years $($based on family history, you think you will live to age $70).$ You plan to save by making $15$ equal annual installments $($from age $25$ to age $40)$ into a fairly risky investment fund that you expect will earn $12\%$ per year You will leave the money in this fund until it is completely depleted when you are $70$ years old$($Click the icon to view Present Value of S$1$ table.$)$Click the icon to view Present Value of Ordinary Annuity of $$1$ table.$)($Click the icon to view Future Value of $$1$ table$)($Click the icon to view Future Value of Ordinary Annuity of $$1$ table $)$Read the requirementsRequirement $1.$ How much money must you accumulate by retirement to make your plan work? $($Hint Find the present value of the $$240,000$ withdrawals.$)($Round your final answer to the nearest whole dollar $)$To make the plan work, you must accumulate this amount by retirement