Jane is $30$ years old today and has no savings. She wants to retire at the age of $70,$ which is $40$ years from today. With great challenge she has decided she will manage to save $$2400$ end of every year for first $20$ years $($years $1$ to $20).$ This payment will increase to $$6000$ for the last $20$ years $($years $21$ to $40).$ First payment will take place one year from today and last payment will be end of year $40..$ You expect the interest rates to be $5\%$ a year for the first $20$ years $($years $1$ to $20)$ and increase to$10\%$ a year for remaining years $($years $21$ to $40).$ How much money will be in your account at the end of $40$ years. $$607,678\mathrm{.}22$ $$449,919\mathrm{.}14$ $$877,532\mathrm{.}89$ $$644,457\mathrm{.}37$ $$561,287\mathrm{.}71$