$13$ A private equity fund has a $20\%$ carried interest rate and a $7\%$ preferred return.

The fund has a net asset value of $$80$ million, and the general partner has invested $$5$ million.

The fund has realized gains of $$60$ million.

What is the total amount of distributions to the limited partners and the general partner under a European waterfall structure?

A $$41\mathrm{.}6$ million to the limited partners and $$18\mathrm{.}4$ million to the general partner

B $$42$ million to the limited partners and $$18$ million to the general partner

C$$43\mathrm{.}2$ million to the limited partners and $$16\mathrm{.}8$ million to the general partner

D$$38$ million to the limited partners and $$12$ million to the general partner