On March $1,2018,$ you opened a savings account with your bank. Following that, you made deposits into this savings account:

On March $1,2018,$ you immediately deposited $$5,000$ upon opening your account.

Starting from Sep $1,2018,$ you made periodic deposits of $$2,500$ every quarter on the first day of September, December,

March, and June, until the last deposit on March $1,2021.$

Additionally, you saved money in $2019$ and thus made an additional deposit of $$10,000$ on Sep $1,2020.$

Knowing that the interest rate offered by the bank is $5\%$ compounded quarterly before Dec $1,2019,$ and $6\%$ compounded

quarterly thereafter.

Q$1.$ Calculate the balance on March $1,2021?$

Q$2.$ Calculate the equivalent amount on March $1,2018$ to today's balance?

$($hint: balance on march $1,2021$ is the sum of FV of two irregular deposits and FV of a series of regular deposits

However, due to change of interest rate over the period, you need divide the whole period into two subperiods based on the

different applied rates to calculate FV$)$v