A friend wants to retire in 30 years when he is 65. At age 35, he can invest $500/month that earns 6% each year. But he is thinking of waiting 15 years when he is age 50, and then investing 3 times more each month for half the number of years to catch up, i.e. $1,500/month, earning the same 6% per year. He feels that by investing over three times as much for half as many years (15 instead of 30 years) he will have at least as much saved.

A. What is the future value of each of these options at age 65, and under which scenario would he accumulate more money?