At the beginning of the year, an analyst forecasts that the earnings of Gyronetics Corp. will be $$120$ per share this year. Due to increased demand for drones, Gyronetics' main product, earnings are expected to grow at a fast pace forever, at $16\%$ per year. However, due to the riskiness of the business, the analyst believes the appropriate discount rate for the company must also be high, equal to $35\%.$ Gyronetics maintains a constant payout ratio of $3\%$ per year. In the analyst's opinion, what should Gyronetics' stock price be$?$