Problema Solution

1.Suppose Mary deposits $200 at the end of each month for 30 years into an account that pays 5% interest compounded monthly.

1.How much total money will she have in the account at the end? =

2.How much total money did Mary actually deposit?

3.How much total interest did the account earn over that period? =

4.Suppose instead of making monthly deposits, Mary decides to deposit a “lump sum” into the account. How much must she deposit? What is this value also called?

Answer provided by our tutors

(1)

A=200*(1+5%/12)^(12*30)=893.55

So she has $893.55 in the account at the end

(2)

Mary actually deposit $893.55

(3)

$893.55-$200=$693.55

So the total interest is $693.55