Question.

Natalie Brunswick, a neurosurgeon at a large U.S. university, was recently granted permission to take an 18-month sabbatical that will begin one year from today. During the sabbatical, Natalie will need $2,500 at the beginning of each month for living expenses of that month. Her financial planner estimates that she will earn an annual rate of 9% over the next year on any money she saves. The annual rate of return during her sabbatical term will likely increase to 10%. During the year before the sabbatical, how much should Brunswick save at the end of each month?

*Please solve without using a financial calculator and show all steps.