Assuming a stock has dividends that grow at a constant rate of $3\%$ forever, if you value the stock using the constant dividend growth model, how many years' worth of dividends constitutes one$-$third of the stock$$s current price?

You may calculate the time required in terms of variables such as initial dividend $($D$)$ and discount rate $($r$).$ The information on growth rate $(3\%)$ is given in the problem.

HINT: You will have to use the formula for present value of annuity $($dividends paid till a certain point in time$)$ and the formula for perpetual growth model together to solve this problem. You may express everything in variables, e$.$g$.,$ D for dividends and r for discount rate.