The group of insurers reported a combined ratio (the measure of how much they are paying out in claims versus how much they are receiving in premiums) of 86.8, an improvement on 91 in 2012.
Beale, who started out at Lloyd's more than three decades ago as an underwriter, before becoming head of reinsurer Canopius and ultimately of the Lloyd's syndicate, said that there had been "lots of modernization and change" in the insurance market since then.
(Read more: Boardroom boys club)
Still, only three of 87 Lloyd's syndicates had a female active underwriter up at the end of 2010, according to industry magazine The Insurance Insider. There are three female chief executives in the FTSE 100 at the moment.
The position of women in the boardroom has come into increasing focus in recent years, following high-profile campaigns from women like Sheryl Sandberg, chief operating officer of Facebook.