The optimal scale of investment of private equity funds

Since the first Privately offered sun fund——The Trust collection fund in China of pure heart was established, Privately offered fund in China began walk on the sunshine road, at the same time entered a rapid development track. Both number and size of the Fund have risen sharply. By March 2010 the total management size of the of Privately offered fund has more than RMB 1 trillion, some large-scale single fund has exceeded RMB 1.5 billion, looked as catch public fund. However, whether this big size Privately offered fund fit well in our capital market in general, whether the gains of Privately offered fund can increase with the expansion of Privately offered fund unlimited?Based on the model of Tirole(2006),the paper examined the principal agent relationship between the mangers of Privately offered fund and the investors of Privately offered fund on the condition decreasing returns to scale.Figured out the optimal asset under management of Privately offered fund, and the model was numerical simulated.The results indicated that out the optimal asset under management of Privately offered fund do exist,and the optimal asset under management of Privately offered fund has upper bound on the condition decreasing returns to scale.