Suppose Office Properties $($stock symbol: OPI$)$ currently pays a $$1\mathrm{.}70$ dividend $).$

Additionally, assume that the growth rate of dividends is $7\mathrm{.}2\%,$ and that your required rate of return for holding this stock is $12\mathrm{.}1\%.$

$($a$)$ Given this information, what is the most you would be willing to pay for a share of OPI stock using the Gordon$-$Growth Model. Round your answer to two decimal places. $[$Hint: You will need to find the dividend payment next year $(d_1)][6$ Points$]$

$($b$)$ Suppose that the growth rate of dividends increases to $7\mathrm{.}8\%$ and assume all other variables remain the same. What is the most you would be willing to pay for a share of OPI stock now? Round your answer to two decimal places. $[6$ Points$]$

$($c$)$ Based on your answers from Parts $($a$)$ and $($b$)$ what is the relationship between the growth rate of dividends and the current value of a stock? $[2$ Points$]$