Consider an inheritance that pays the beneficiary an annuity of $$250$ that begins immediately $($an annuity due$)$ and then annually in year $1$ through year $17($for a total of $18$ years$)$ with one exception $-$ the payment in year $12,$ and only $12,$ is not $$250$ but $$0.$ Using an interest rate of $6\%,$ determine the present value of this cash flow stream.