You are trying to decide how much to save for retirement. Assume you plan to save $ 6,500 per year with the first investment made one year from now. You think you can earn 5.0% per year on your investments and you plan to retire in36 years, immediately after making your last $ 6,500 investment.

a. How much will you have in your retirement account on the day you retire?

b. If, instead of investing $ 6,500 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirementsaving, how much would that lump sum need to be?

c.If you hope to live for 19years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 19th withdrawal (assume your savings will continue to earn 5.0%in retirement)?