Expected dividends as a basis for stock values

The following graph shows the value of a stock's dividends over time. The stock's current dividend is $$1\mathrm{.}00$ per share, and dividends are expected to

grow at a constant rate of $4\mathrm{.}50\%$ per year. The intrinsic value of a stock should equal the sum of the present value $($PV$)$ of all of the dividends that a

stock is supposed to pay in the future, but many people find it difficult to imagine adding up an infinite number of dividends.

Calculate the present value $($PV$)$ of the dividend paid today $(D_0)$ and the discounted value of the dividends expected to be paid $10,20,$ and $50$ years

from now $(D_{10},D_{20},D_{50}).$ Assume that the stock's required return $(r_s)$ is $5\mathrm{.}40\%.$

Note: Carry and round the calculations to four decimal places.