You and your wife are making plans for retirement. You plan on living 25 years after you retire and would like to have $100,000 annually on which to live. Your first withdrawal will be made one year after you retire and you anticipate that your retirement account will earn 12% annually.

a) What amount do you need in your retirement account the day you retire? Do not round intermediate calculations. Round your answer to the nearest cent.

b) Assume that your first withdrawal will be made the day you retire. Under this assumption, what amount do you now need in your retirement account the day you retire? Do not round intermediate calculations. Round your answer to the nearest cent.