A firm is planning on paying its first dividend of $2 three years from today. After that, dividends are expected to grow at 6% per year indefinitely. The stock's required return is 14%. What is the intrinsic value of a share today

The intrinsic value of a share today is $16.87

Explanation:

Intrinsic Value of the share is calculated as below.

Dividend Valuation method is used to value the stock price of a company based on the dividend paid, its growth rate and rate of return. The price is calculated by calculating present value of future dividend payment.

Value of Share = Dividend / (Rate of return - Growth rate)

placing values in the formula

Value of share = $2 / (14% - 6%) = $25

$25 is the value of share after 3 year, to calculate today's value we have to discount it as below

Today's value of share = $25 x (1 + 14%) ^-3 = $16.87