Question $3(1$ point$)$

Which is the lump$-$sum amount needed to generate a retirement income of $$36000$ per year for $25$ years, assuming interest at $9\%$ per year, compounded annually?

a$)$ $$349438\mathrm{.}02$

b$)$ $$353612\mathrm{.}87$

c$)$ $$357443\mathrm{.}00$

d$)$ $$326773\mathrm{.}44$