Tesla Inc. CEO Elon Musk plans to invest a further $20 million in the electric-car maker's stock, according to an SEC filing Oct. 16.

The $20 million stock purchase is equal to the fine the SEC imposed on the company over Musk's claim via Twitter in August that he planned to privatize the company, a statement which the U.S. regulator found to be baseless and detrimental to some investors.

Although not explicitly stated in the filing, the purchase could neutralize the financial impact on the company of the SEC fine, replacing each dollar lost. Musk is already a major investor in the company he founded, owning 19.8% of the total stock as of mid-June, according to S&P Global Market Intelligence data.

"Separate and apart from the settlement, Elon has notified Tesla that he intends to purchase from Tesla, and Tesla expects that it will issue and sell to Musk, $20 million of Tesla's common stock during the next open trading window at the then-current market price," the filing stated, confirming the terms of a settlement between Tesla, Musk and the SEC, following approval by a District Court judge.

Musk has also agreed to pay a $20 million fine out of his own pocket over the take-private claim as part of the settlement with the SEC, which will also force him to forfeit his position as chairman of the board for at least three years, starting 45 days from the filing of the settlement documents.

Tesla stock opened little changed at about $276 on Oct. 17, a level that is well-below its average price over the last 12 months.