> Help with home work question !!?

Help with home work question !!?

Posted at: 2014-12-05 
Here's what I got: a= 50(1+.09/12)^12 x 35, a=50(1.0075)^420, a=$1,153.17

Even though you've already chosen a "Best Answer" for this, I felt compelled to provide the real answer...

The problem says you deposit $50 A MONTH, e.g. 420 $50 deposits, NOT one $50 deposit. This is a Future Value ordinary annuity problem

FVoa = PMT [((1 + i)n - 1) / i]

n = 35 * 12 = 420

i = 0.09 / 12 = 0.0075

FVoa = 50[((1.0075^420) - 1) / 0.0075]

= 50[22.06338 / 0.0075]

= 50[2941.78]

= $147,089.22

Notice that "Twilights" answer doesn't even equal the total of the monthly deposits...

50 * 420 = $21,000

His/her answer is simply the future value of ONE $50 deposit.

Future values with monthly compounding

Suppose you deposit $50 a month into an

account that has an APR of 9%, based on

monthly compounding, how much will you have

in the account in 35 years?