You would like to begin an annual deposit plan in order to fund your retirement.

You plan to retire in $20$ years with enough funds in your account to be able to

withdraw $$30,000$ per year $($at the end of each year$)$ indefinitely retirement. You

will start with an initial one$-$time deposit of $$100,000,$ and then add to it with the

annual deposits. You plan to stop depositing at the time of retirement. If the interest

rate is $6\%,$ what is the annual deposit necessary to fund your retirement plan? The

answer is within $$10$ of which of the following?

a$)4834$

b$)4854$

c$)4874$

d$)4894$

e$)$ None of the above