A couple has $5,000 to invest and has to choose between three investment options. Option A: 2 1/4%interest applied each quarter
Option B: 3% interest applied every 4 months
Option C: 4 1/2% interest applied twice each year
If they plan on no deposits and no withdrawals for 5 years, which option will give them the largest balance after 5 years? Use a mathematical model for each option to explain your choice.