Jack is planning to invest in an insurance company product. The product will pay $$11,500$ at the end of this year. Thereafter, the payments will grow annually at a $2\mathrm{.}25$ annual percent rate forever. Jack will be able to invest his cash flows at an annual rate of $5$ percent. What is the present value of this investment cash flow stream?

$$416,667$

$$436,667$

$$418,766$

$$418,182$