Sarah Rye has recently started her studies as a B$.$Com Financial Management student. Once she completes her studies in $3$ years from now, she would like to apply for employment within the financial sector. In preparation for it$,$ she decided to buy her own vehicle at the end of the studies would be best. After doing some research, she identified a vehicle she would like to buy. The sales assistant gave her the following purchasing options: Option $1$ Purchase the vehicle $3$ years from now at R$440000$ and pay the full purchase price then. Under this option, Sarah will open a savings bank account for herself and make an investment into it today. The applicable interest rate of the savings bank account is $15\%$ per year compounded bi$-$monthly. Calculate the amount Sarah should invest into the savings$-$bank account today under option $1.$