Do we know everything we need to know about his relationship with Arianna Carlin? Maybe they secretly had a daughter together (let's call her Alexis)...her 15th birthday is coming up, and Lex is going to send her the pogo stick. Why such a gift that doesn't fit how old she actually is? Because Lex is clueless and disconnected. My dad (who hadn't seen us in years) used to send me and my brother oddly juvenile Christmas gifts on the few years he seemed to remember.
When Alexis gets this POS gift from her father, she gets pissed off and starts bad-mouthing her absent dad. Arianna starts defending him and accidentally slips a clue that identifies Lex as her dad. Alexis is now even more pissed off that the 3rd richest man in the world is sending her crap like this pogo stick. And she starts to plot her revenge...
