Explain the mechanisms that tie a private manager's incentives to its investors' interests, and work out and assess the net returns limited partners keep after management fees and carried interest

Interests are aligned through the GP's own commitment, a carried interest paid only on profits, a hurdle or preferred return, a catch-up, clawback provisions, fee offsets and key-person clauses. Management fees are usually charged on committed capital during the investment period and on invested capital or NAV afterwards. In a whole-fund (European) waterfall, LPs receive their paid-in capital and hurdle before any carry. Suppose 100 is paid in and 160 is returned. The profit is 60 and 20% carry is 12, so LPs receive 148. The gross multiple is 1.60 but the net multiple is 1.48. The trap: a deal-by-deal (American) waterfall pays carry early, and if later deals lose money the GP is overpaid unless clawback is enforceable.