A loan is negotiated with the lender agreeing to accept $8, 000 after 1 year, $9, 000 after 2 years, and $20, 000 after four years in full repayment of the loan. The loan is renegotiated so that the borrower makes a single payment of $37, 000 at time T and this results in the same total present value of payments when calculated using an annual effective rate of 7.13%. Find T.