In the wake of a new SEC filing detailing changes to how Musk is approaching buying the company, shares of Twitter are up sharply.

Musk initially said that he would use a margin loan against other holdings to finance his purchase of the social media platform. Elon Musk has committed to increase the aggregate principle amount of the equity commitment to $33.5 billion.

In other words, Musk is going to front $33.5 billion in his bid to take over the company. According to CNBC, the head of the two companies is in talks with other people to help finance the deal or roll their shares over.

What appeared to be a push to buy the company became less certain over time. Musk pivoted to acquire the platform after purchasing a stake in it. The transaction was complex, but it set a per-share price on the company's stock that was around $44 billion.

Musk made a number of social media posts that were critical of the company, which caused the market to value the company as if the deal was dead. It is possible to determine market confidence in a transaction by how close the company in question trades to its sale price, as the transaction appeared less than certain.

With more news that Musk is still working toward the transaction's financing, investors are betting that the deal will go through. The share price went up more than 5% after the filing.

The stock's return to the $38 per-share threshold does indicate that there is some doubt as to whether the CEO of the company will actually buy the company. A dramatic shakeup today saw Jack Dorsey step down from the board and the shareholders vote not to reelect Egon Durban to the board. The U.S. Department of Justice and the Federal Trade Commission accused the company of mismanagement of user data over several years.