A research analyst who covers Technology stocks has coverage responsibility for Apple Inc. $("$AAPL$").$ The research analyst believes that the fair price for a stock can be determined by using the Gordon Growth Model. Assuming the required return for similar investments is $10\mathrm{.}5\%,$ next year's dividend is expected to be $$1\mathrm{.}00$ per share, and the dividend is expected to grow at a rate of $10\%$ per year, what is the fair price of a share of Apple Inc.?

$$19$

$$20$

$$190$

$$200$