Spendex Corporation paid a dividend of $$1\mathrm{.}15$ per share today. Dividends are expected to grow at $10\mathrm{.}00\%$ per year for the next $3$ years, then at $8\mathrm{.}00\%$ per year in the following $2$ years. After the $5$th year, the growth in dividends is expected to remain constant at $5\mathrm{.}00\%.$ As an investor, you require a $13\mathrm{.}00\%$ rate of return on this equity investment. What is the maximum price you would be willing to pay for a share of Spendex?