Piotr deposits $$1,341\mathrm{.}73$ in a bank account paying i$(4)=2\mathrm{.}625\%.3$ quarters later, the interest rate changes to i$(4)=12\mathrm{.}350\%.$ How much money does he have in his bank account exactly $1$ year after opening it$?($No dates or daycount convention are given, so use theoretical time; i$.$e$.1$ year $=365$ days $=52$ weeks $=12$ months etc. and count time in periods.$)$