Letter Of Apology: The Lost Book

Letter of apology: The lost book.
I am writing regarding the book that I had borrowed from the British library that I have recently lost.
To begin with I am sure that the book I have lost is quite expensive and losing it was a very big mistake. I would like to sincerely apologize for the damage I have caused.
The main reason of me not giving the book back was moving in the new house, so while moving all my items to the other apartment I lost the book somewhere.
I fully understand it is crucial to give the book back, so I am ready to make amends for losing a book. I am willing to compensate the damage I caused by replacing the book with the new one.