Consider a hedge fund that only runs for a year, and it has assets under management (AUM) of $1 billion. The manager is paid by a standard "2+20" hedge fund contract. That is, at the end of the year, he collects management fees of 2% of AUM, and if the fund's return is above 0% (the hurdle rate), he collects 20% of that in performance fees. For instance, suppose the fund's return is 5%, which amounts to $1 billion x 5% = $50 million in dollar terms. The manager then collects $50 million 20% $10 million in performance fees, in addition to the $1 billion x 2% = $20 million management fees. If the fund's return is below 0%, then the manager only collects management fees. (a) Please plot a graph that represents the manager's total pay as a function of the fund's return. Specifically, fund return should be on the horizontal axis and manager's total pay is on the vertical axis. Mark the axis and values as