A man wants to buy a house sometime in the next few years. He expects to need $19,000 to cover the down-payment and closing costs.

a. If he deposits $2350 at the end of each year into a savings account that provides an interest rate of 4.65% per year, compounded annually, how long will it take for him to accumulate the $19,000?

b. What if he instead made his deposits at the beginning of each year?