Marica and Jane are both $45$ years old but have been investing different amounts of money for different lengths of time.

a$)$ Determine the total future value of each portfolio.

$(12$ marks$)$

Marica's portfolio is the total of her two investments: Marica saved $$20$ each month for $15$ years at an average interest rate of $3\mathrm{.}2\%$ compounded monthly until she was $25.$ Then she reinvested the entire amount at $3\mathrm{.}8\%$ compounded monthly for $10$ years.

Jane's portfolio: Jane has been depositing $$25$ each month for the past $12$ years into a savings account that earns an average annual interest rate of $3\mathrm{.}6\%$ compounded monthly.

b$)$ Determine the Rate of Return $($ROR$)$ for each portfolio.

$(4$ marks$)$