4. (5 points) Harvey buys a perpetuity on January 1, 2021. The perpetuity has annual payments beginning January 1, 2022. The first two payments are 100 each, the next two payments are 100(1.03) each, the next two payments are 100(1.03)2 each, ..., increasing forever by a factor of 1.03 every two years. Calculate the price of this perpetuity at an annual effective interest rate of 4%. (a) 4080 (b) 3953 (c) 3876 (d) 3801 (e) 1938