Option A: Invest your $$10000$ in a registered education savings plan with the Canadian government. You will receive a simple interest return of $20\%$ paid once. Option B: Invest your $$10000$ in an income focused account with a simple annual interest rate of $5\mathrm{.}5\%.$ Option C: Invest you $$10000$ in a growth focused account with a compound interest rate of $5\mathrm{.}4\%$ compounded monthly. You make an initial investment of $$10,000,$ over the course of $18$ years what would the most profitable option be$?$ After selecting the best investment option, how much would you need to invest each month to reach a goal of $$150,000$ at the end of the $18$ year period?