Money market deposit with bonus rate : how to set up an manage ?

case :
bank deposit : max term = 1 year
If you stay in for the full year you received euribor 1 year - 0.03% fixed at the start
If you get out after 3 months you received euribor 3 months - 0.15% fixed at the start
If you get out after 6 months you received euribor 6 months - 0.10% fixed at the start
If you get out after 9 months you received euribor 9 months - 0.08% fixed at the start
As you don't know in advance when you will exit (hence you don't know the final interest rate) , how to handle accruals?
Because, if I start accrueing at the lowest rate (3m euribor -0.15%) and we go further than 3 months, I don't want to reverse all monthly accruals (which have been underestimated).
What would be the best solution? Do I really need to decompose the product into a deposit for 12 months and create some kind of interest rate options which I would need to evaluate separately? I am not even sure that this would make sense. Is there no clever, yet simple way to handle this ?
Thanks,
Carl

Dear Lorenz,
You are right about the accruals.
The pitfall however is NOT to use a reference rate, because once fixed, by definition you can longer change the condition (unless you would unfix the reference rate).
Yet, the key problem is still there :
if you stay in for 3 months, you earn 0.5 % for these 3 months
if you stay in for 6 months, you earn 0.65 % for these 6 months
I start by entering the deal for 6 months with 0.50%
Then I run accruals at the end of month 1 and 2 (so, the system takes 0.5% as a rate)
Note: we use the RESET method for accrual calculation and posting.
At the end of month 3, we decide to stay in until month 6.
So, I change the initial condition to 0.65% and run TPM44.
I agree that year-to-day P&L is correct. However, Jan and Feb P&L are underestimated, no ?
I cannot make the system to correct P&L of months 1 and 2 in an automated way, I guess ?
Thanks for your help.

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