Portfolio managers are frequently paid a proportion of the funds under managem

Portfolio managers are frequently paid a proportion of the funds under management. Suppose you manage a $100 million equity portfolio offering a dividend
yield (DIV1/P0) of 5%. Dividends and portfolio value are expected to grow at a constant rate. Your annual fee for managing this portfolio is .5% of
portfolio value and is calculated at the end of each year. Assuming that you will continue to manage the portfolio from now to eternity what is the
present value of the management contract? How would the contract value change if you invested in stocks with a 4% yield?