Lynn Fordham currently owns just over 575,000 shares in the listed UK company, which was the subject of a 650p-per-share offer earlier this month.
On Friday, SVG reported a 12 per cent growth in net asset value (NAV) per share to 735p in the six months to 31 July.
In the results statement, Fordham told investors that the company had received several other approaches from different companies.
Fordham said that the HarbourVest offer “undervalues the company and its assets”.
She added: “The company has received approaches from a number of credible parties, which the board believes may lead to an offer competing with HarbourVest and could deliver SVG Capital shareholders superior value.”
Fordham has been chief executive of SVG since May 2009. In this time, the firm's share have risen from around 130p to nearly 680p.