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An oil and gas exploration firm invested $$1,900,006$ in drilling for natural gas in a new gas field. The firm's geologist believes the field has the potential to produce gas for $25$ years. The revenue resulting from the gas well the first year after drilling is $$590,000$; based on previous experiences with similar types of wells, it is expected the annual revenue will decrease at an annual rate of $2\%.$ Likewise, the costs of operating the well the first year totals $$120,000$; costs are expected to increase at an annual rate of $4\%.$ Based on a $25-$year planning horizon and a MARR of $17\%,$ what is the firm's external rate of return for the investment?

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Carry all interim calculations to $5$ decimal places and then round your final answer to $2$ decimal places. The tolerance is $+-0\mathrm{.}05.$