$($Present value of a perpetuity$)$ At a discount rate of $6\mathrm{.}50\%,$ find the present value of a perpetual payment of $$2,000$ per year. If the discount rate were lowered to $3\mathrm{.}25\%,$ half the initial rate, what would be the value of the perpetuity?a$.$ If the discount rate were $6\mathrm{.}50\%,$ the present value of the perpetuity is $$].($Round to the nearest cent.$)$