Newman Manufacturing is considering a cash purchase of the stock of Grips Tool. During the year just completed, Grips earned $$3\mathrm{.}67$ per share and paid cash dividends of $$1\mathrm{.}97$ per share $($D$0=$$$1\mathrm{.}97).$ Grips' earnings and dividends are expected to grow at $40\%$ per year for the next $3$ years, after which they are expected to grow $7\%$ per year to infinity. What is the maximum price per share that Newman should pay for Grips if it has a required return of $13\%$ on investments with risk characteristics similar to those of Grips?