$14.$ A $10-$year annuity$-$immediate has a first payment of $2,000.$ Each subsequent annual payment is $100$ less than the preceding payment. $($The payments are $2,000$; $1,900$; $1,800$; etc.$)$ At an annual effective interest rate of $5\%,$ what is the accumulated value of this stream of payments on the date of the final payment?