The Niendorfs are currently saving for retirement and seek your advice. Their mutual funds jointly earn them a rate of return of $8\mathrm{.}12$ percent per year. Their current annual income is $$123,000$ and they want to be able to retain their lifestyle after retirement. That is$,$ spend $$123,000$ at the end of each year. How much should their nest egg be at age $65$ for them to draw the amount for the next thirty years. Assume end of year withdrawals.