Transact saw its funds under direction grow by 15 per cent over the past year, despite inflows falling.
In the three months to 31 March 2019, Transact's closing FUD stood at £34.4bn, up from £29.7bn the same period last year.
Its parent company IntegraFin said this represented a 8.7 per cent increase over the quarter.
But inflows were slightly down year-on-year, standing at £1.4bn at the end of March 2019, compared to £1.5bn in the second quarter last year, while outflows increased to £518m, up from £444m in the second quarter 2018.
Net flows were £926m in the second quarter of this year, down from just above £1bn the same period last year.
According to IntegraFin, the FTSE All Share Index rose by 8.3 per cent and the MSCI World Index rose by 9.4 per cent in the second quarter of 2019.
Ian Taylor, the company's chief executive, said: "Funds under direction have shown strong growth, reflecting positive net flow growth in the quarter and the upward movements in world equity markets.
"Political and economic uncertainties have not gone away, however, and still give rise to unhelpful background noise."
IntegraFin expects to announce its half year results on May 17 2019.