After retirement, you expect to live for $25$ years. You would like to have $$240,000$ income each year. In addition, you like to have $$1,000,000$ at the end of the $25$ years as the buffer. How much should you have saved in the retirement to receive these goals, if the interest is $4\%$ per year $($assume that the payments start one year after the retirement$)?$

Group of answer choices

$$4,349,299\mathrm{.}19$

$$4,799,532\mathrm{.}79$

$$4,543,790\mathrm{.}26$

$$4,124,415\mathrm{.}99$