Why does Miss Havisham send for Pip?

The two reasons why Miss Havisham wanted Pip to come to Satis House are:

1. In Ch.7 we read that Miss Havisham is alone and is bored and would like to be entertained, so as a means of relief for her boredom she asks Pumblechook, her tenant, to send a small boy to her house who would entertain her and relieve her boredom. Pumblechook informs Mrs. Joe who in turn sends Pip to Miss Havisham's house:

then mention this boy[Pip], standing Prancing here'

2. In Ch.44 Pip is able to compel Miss Havisham to confess that she used Pip as a means to torment her avaricious and selfish relations namely, Sarah Pocket, Miss Georgiana, and Mistress Camilla:

I was liberally paid for my old attendance here,' I said, to soothe her, In humouring my mistake, Miss Havisham, you punished -- practised on -- perhaps you will supply whatever term expresses your intention, without offence -- your self-seeking relations?'