Compound interest calculator with initial investment and intermittent deposits and withdrawals

[Macinfs]

In tmval documentation, compound interest section, the method to calculate final value (say after 2 years) for an initial investment is shown. I was wondering how should we use the existing classes/methods to also account for bonus, that a bank might give after a certain period (say 2 months) after the the initial investment is deposited? In general, how do we account for intermittent deposits/withdrawals and calculate the final payout?

Thanks for the help!

[Macinfs]

Case 1: Assuming the bank pays a bonus (ex. 200$) after an year you deposited the initial investment (ex. 15000$), the return after, say 2 years for a 4.35% APY compounded daily, is calculated as below...

from tmval import Rate, Payments

r_daily = Rate(rate=0.0435, pattern="Nominal Interest", freq=365)

pmts = Payments(
    amounts=[15000, 200], 
    times=[0,1], 
    gr=r_daily)

print(pmts.eq_val(2))

16572.256

Case 2: How should we handle the bonus received at the beginning of the month, instead of the beginning of a year presented in Case 1? How should the times changed to accommodate months?