$2\mathrm{.}1$ Assume the following CPI schedule.

$\backslash$table$[[$Year$,$CPI index$],[202,100],[203,106\mathrm{.}2],[204,111\mathrm{.}5]]$

Calculate the following. $($Show all your calculations$)$

$(4)$

$\backslash$table$[[\backslash$table$[[$You bought some financial stock for R$30000$ in the$],[$beginning of $20$X$2.$ What is the real value of the$],[$financial stock at the end of $20$X$4?]]],[\backslash$table$[[$Assume that the CPI index is forecasted to be $116\mathrm{.}9$ at$],[$the end of $20$X$5.$ You started in the beginning of $20$X$2],[$with a growth$-$induced financial asset worth R$20000.],[$This financial instrument guarantees the protection of$],[$the purchasing power of the initial investment to be$]]]]$

$5$