1. (This question is cumulative)

a) You plan to retire in 35 years and want to accumulate enough by then to have $50, 000 per year for 25 years. If the interest rate is 10%, how much must you accumulate by the time you retire? Assume you need the $50,000 at the end of each year.

b) How much you save each year (at the end of the year) until retirement in order to finance your retirement consumption?