$\backslash$table$[[\backslash$table$[[$Imagine you are offered two investment opportunities:$],[-$ Option A: Invest R$10000$ today and receive a$],[$guaranteed payout of R$12000$ in $5$ years.$],[-$ Option B: Invest R$10000$ today and receive a$],[$guaranteed payout of R$11000$ in $2$ years.$],[$Considering the time value of money, which option would$],[$you choose and why? Briefly explain your reasoning.$],[$Support your answer with calculations.$]]]]$