Five small cap companies and four mid-cap firms have a current AGR score of 99.
The predicted rise will come after an "unprecedented period of stagnation" in pay, the AGR said.
The AGR forms the backbone of the all-industry Most Trustworthy Companies list that Forbes recently released.
Research from the Association of Graduate Recruiters (AGR) claimed there were 48 graduates applying for each available job.
"The predicted increase to graduate salaries is significant and sizeable, " said Carl Gilleard, chief executive of the AGR.
Audit Integrity's AGR scores also form the basis of Forbes' Risk List.
Last year three small-cap companies received a perfect AGR score of 100.
Graduate pay will rise by 4% this year - the first increase since 2009, the Association of Graduate Recruiters (AGR) has estimated.
The AGR surveyed 214 recruiters who took on 21, 325 graduates in 2011.
The AGR said these figures compared favourably with employment statistics overall and suggested graduate recruitment was beginning to emerge from the recession.
The AGR annual conference in Newport last week was told that one in four graduate jobs had been cut since the recession started.
This 4% rise would be higher than the 2% a year increases seen between 2006 and 2008, the AGR said, and the biggest rise since a 7% increase in 2005.
Every three months it assigns each company an accounting and governance risk score, or AGR, based on proprietary modeling designed to identify practices that historically have had a high correlation with increasing shareholder risk.
Ten fastest growing CRM vendors as measured in revenue Annual Growth Rate (AGR) in 2012 include Zoho (81.2%), Hybris (78.6%), Teradata (70.4%), Bazaarvoice (56.2%), Marketo (54.3%), Kana (44.2%), Demandware (43.9%), IBM (39.4%), Technology One (37.1%) and Neolane (36%).
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