The fund has committed more than $600 million of capital to acquire a fleet of 62 aircraft.
The retirement system added the two new asset classes as part of a completed asset allocation study.
The plan’s current consultant has been in place since 2006.
The firm’s head of portfolio management also retired in March.
The new hire will focus on Catholic and values-based equity strategies for institutional and wealth management clients and advisors.
The city is seeking the services for its investment portfolios of $2.5 million and $1.9 million.
The pension fund committed $10 million to a new relationship at this month’s board meeting.
The program currently has four providers for the services.
The plan is searching for an advisor for an up to five-year contract.
The authority will seek board approval to hire a new investment consultant at a May 21 meeting.