Number of payments. Tony is offering two repayment plans to Phil for a long overdue loan. Offer $1$ is to receive a visit from an enforcer and the debt is due in full at once. Offer $2$ is to pay back $$4,000$ at the end of the year at an interest rate of $22\%$ until Phil pays off the loan principal. Phil owes Tony $$16,000.$ How long will it take for Phil to pay off the loan if he takes offer $2?$

How long will it take for Phil to pay off the loan if he takes offer $2?$

years $($Round to two decimal places.$)$