2. A perpetuity has level payments of 100 at the end of years 5, 10, 15, 20, 25, 30, The price of the perpetuity is calculated based on an annual effective interest rate of i > 0. (a) Write an expression for the present value of the perpetuity that is entirely in terms of interest functions at an annual effective interest rate i. (b) Suppose i = 9%. What is the present value of the perpetuity? (c) Suppose the present value is 1000. What is