John Galt is a mutual fund manager at Atlas Asset Management. He can generate an alpha of 2% a year up to $500 million of invested capital. After that amount his skills are spread too thin, so he cannot add value and his alpha is zero for all investments over $500 million. Atlas Asset Management charges a fee of 0.80% on the total amount of money under management. Assume that there are always investors looking for positive alpha investments and no investor would invest in a fund with a negative alpha. Assume that the fund is in equilibrium, meaning that no investor either takes out money or wishes to invest new money into the fund.
The amount of money that Galt's fund will have under management is closest to:
$600 million
$500 million
$1,250 million
$1,000 million