When Anders took out his first two-year membership with Maxima Gym in 2004, the fee was $457.00. He renewed his membership three times; in 2006 for $480.00, in 2008, for $500.00, and again in 2010, for $512.00. What is the overall rate of inflation for Anders' gym membership

The present value of growth opportunities is $23.08

Explanation:

First, we need to calculate the price with growth

Stock Price = Expected Dividend / ( Required rate of return - growth rate )

Where

Expected Dividend  = $5

Required rate of return = 13%

Growth rate = 8%

Pacing values in the formula

Stock Price = $5 / ( 13% - 8% )

Stock Price = $100

Now determine the expected EPS

EPS = Dividend / Payout ratio

Where

Dividend = $5

Payout ratio = 50%

Placing values in the formula

EPS = $5 / 50%

EPS = $10

Now calculate the present value of growth opportunity

PV of Growth opportunity = Price with growth - ( EPS / Required rate of return )

Where

Price with growth = $100

EPS = $10

Required rate of return = 13%

Placing value in the formula

PV of Growth opportunity = $100 - ( $10 / 13% )

PV of Growth opportunity = $100 - $76.92

PV of Growth opportunity = $23.08