An investor invests $$64,000$ and receives an annuity of $$8,000$ at the end of each year for $12$ years and an additional payment of $$18,000$ at the end of the ${13}^{th}$ year. Each time he gets an $$8,000$ payment, he immediately deposits $$3,000$ in a savings account that earns $8\%.$ Find the annual yield received by the investor over the $13$ years.