While Ford's (NYSE:F) turnaround has been one for the history books, and General Motors' (NYSE:GM) turnaround is gaining steam with strong new models, Chrysler has followed a different path. The smallest of Detroit's Big Three automakers was in much worse shape than either Ford or GM when it crashed into bankruptcy court in 2009, and many experts felt it wasn't worth saving.

Italian automaker FiatĀ (NASDAQOTH:FIATY) disagreed, and Chrysler was essentially put into Fiat's hands by the bankruptcy court. That marriage has worked out well so far: Fiat threw big resources into overhauling Chrysler's tired products on the fly, and the resulting much-improved vehicles led to big sales and profit gains.

Now, Fiat would like to take full ownership of Chrysler, but there's a problem: Fiat and the United Auto Workers health-care trust that owns Chrysler's remaining stock can't agree on a fair price. A court is already involved, but a trial could take years to conclude -- and neither side wants to wait.

As Fool contributor John Rosevear explains in this video, an IPO would be one way to find a fair price for the company's stock -- and the registration papers for a Chrysler IPO could be filed as soon as this week.

Fool contributor John Rosevear owns shares of Ford and General Motors. You can connect with him on Twitter at @jrosevear. The Motley Fool recommends Ford and General Motors. The Motley Fool owns shares of Ford. Try any of our Foolish newsletter services free for 30 days. We Fools may not all hold the same opinions, but we all believe that considering a diverse range of insights makes us better investors. The Motley Fool has a disclosure policy.