YYou expect your retirement fund to be able to afford $$40,000$ a year, adjusted for $3\%$ annual growth in cost of living, for $20$ years. If the fund can earn a return of $10\%$ per annum, how much money you should put aside for the fund now?

Question $1$ options:

$$418,018\mathrm{.}90$

$$407,593\mathrm{.}00$

$$292,613\mathrm{.}23$

$$430,559\mathrm{.}47$