FRANKFURT, July 10 (Reuters) - German prosecutors are investigating asset manager DWS's former chief executive Asoka Woehrmann over allegations of investment fraud through so-called greenwashing, Reuters has reported.

The formal investigation follows probes by regulators on both sides of the Atlantic since 2021 over accusations that DWS, which manages 841 billion euros ($921.57 billion) and is controlled by Deutsche Bank, may have misled investors by marketing its funds as greener than they actually were.

A lawyer for Woehrmann said DWS' internal investigations "did not reveal any evidence of misconduct on the part of my client".

DWS has said that it stands by its financial disclosures and fund prospectuses, and that it is cooperating with authorities.

Below is a timeline of developments in the saga drawn from DWS and Deutsche Bank corporate reports and public remarks, statements from prosecutors, and interviews.

2004

Deutsche Bank assumes full ownership of DWS.

2018

March - DWS shares debut after Deutsche Bank sells a minority stake in the division, part of an overhaul to help the bank move on from a string of lawsuits and trading scandals.

September - DWS publishes a report called "Responsible Investing", saying its sustainability record spans two decades.

October - Woehrmann is appointed CEO, having spent years at DWS and Deutsche Bank.

2020

May - DWS showcases its sustainable investment credentials, saying it will use artificial intelligence to identify companies with climate risks.

June - Desiree Fixler joins DWS as group sustainability officer, according to her LinkedIn profile. She would later allege to regulators, investigators and journalists that DWS misrepresented how green its investments were.

2021

March - DWS' supervisory board, headed by Deutsche Bank's Karl von Rohr, learns about Fixler's allegations and launches a review.

April - Fixler leaves DWS, according to her LinkedIn profile.

July - DWS' supervisory board finds no evidence to back up the allegations and decides not to pursue it further.

Aug. 26 - Media report the U.S. Securities and Exchange Commission is investigating DWS over how it used sustainable investing criteria to manage its assets. Shares fall 13.6%. DWS firmly rejects the allegations. Germany's financial regulator BaFin is also investigating.

September-December - DWS' supervisory board creates a subcommittee to deal with the allegations.

November-December - Woehrmann receives threatening letters. Frankfurt police investigate.

2022

Mid-January - Prosecutors in Frankfurt begin an investigation into investor fraud.

Jan. 24 - DWS wins a wrongful dismissal lawsuit by Fixler.

Jan. 27 - Woehrmann tells analysts: "I emphatically reject all these allegations and insinuations." Deutsche Bank conducts an internal investigation into Woehrmann's possible private email usage for business purposes.

Jan. 28 - The European Central Bank is looking into corporate governance issues surrounding Woehrmann.

Feb. 28 - Deutsche Bank agrees with the U.S. Department of Justice to extend the stay of a special monitor.

May 31 - Prosecutors and other officials raid DWS and Deutsche Bank. Prosecutors said they are following up on news reports and the whistleblower's claims, and gather "sufficient factual evidence".

June 1 - CEO Woehrmann announces he will step down the following week. "It was the best of times, it was the worst of times," he writes to staff.

June 9 - DWS annual general meeting, where Woehrmann underscores that DWS increased 2021 revenues by 22% and net profit by 40%. Stefan Hoops takes over as CEO.

Oct. 24 - A German consumer group sues DWS for allegedly misrepresenting a fund's green credentials in marketing materials. They later resolve the issue out of court.

2023

Feb. 2 - DWS says it cannot rule out fines in the case.

April 18 - Karl von Rohr says he will step down as chair in October.

May 24 - Chief Financial Officer Claire Peel announces she will step down later this year.

June 14 - Greenpeace activists scale Deutsche's headquarters and string up a banner to protest against climate investment policies at the bank and DWS.

July 7 - German prosecutors are investigating Woehrmann over allegations of investment fraud.

($1 = 0.9126 euros)

(Reporting by Tom Sims and Marta Orosz; Editing by Elaine Hardcastle and David Evans)