Jose is 25 years old today and has a retirement plan that permits him to place monthly amounts of $150 into a retirement vehicle, beginning one month from now, for 30 consecutive years.
When Jose reaches retirement at age 55, he expects to live for 40 more years. What is the most he can spend, per month, throughout all of his retirement years?
Assume that his retirement benefits begin one month after his 55th birthday and an interest rate of 5%?