looking for an movie I cant remember the name

Question

the movie is about a man renting a cabin by a lake in the country and recieves a letter from the future and in the future a women recieves a letter at the same cabin from the past. and they correspond back and forth and at the end

they meet.

Answer 1

I believe its "The Lake House" or just "Lake House"

Answer 2

it's called The Lakehouse