Knowledge of Mr. Homer’s retirement expertise has spread. Now his friend, Bart, has asked for help with his retirement planning. Bart, who turned 21 years old today, is just starting his first full time job and has nothing set aside in his retirement account. He plans to add an equal amount in real terms at the end of each of the next 46 years so that he can retire at age 67. His goal is to build a retirement account that will enable him to make 30 annual withdraws with a purchasing power of $60,000 (at today’s prices) on his 68th through 97th birthdays. His retirement account is expected to earn 7.00% per year and the expected inflation rate is 2.00% per year. How much does Bart need to set aside in real terms at the end of each of the next 46 years to meet his retirement goal?
Round your answer to the nearest penny.