Sebastián Piñera is already facing probes because of his refusal to sell off shares of his companies before the election, as there has been a speculative frenzy:
The rally, which pushed Axxion’s price-to-earnings ratio to 41 through yesterday, almost double that of Chile’s Ipsa stock index, led the exchange to temporarily halt the shares Jan. 19 and the securities regulator to announce an investigation of trading last night.
Overall, last week the Chilean stock exchange asked the company three separate times for explanations. That's not exactly the sort of news a president-elect wants. Meanwhile, he talks about shifting control of his holdings to independent foundations, but he doesn't want to allow public access to their records. The Centro de Investigación e Información Periodística (CIPER--if you are interested in Chilean politics, their blog is very worthwhile for its investigative journalism) is trying to get access to one of them, the Fundación Futuro.
One problem of not being in power is that you get accustomed to doing whatever you want. But presidents can't without some political consequence, at least not in a democratic setting. So Piñera will keep getting slapped until he arranges his finances in a transparent manner. It will be a distraction he doesn't need until he does.