Question

An investor deposits $35,000 into an IRA for her retirement in 25 years.The account pays 3.5% interest compounded continuously. She also plans to deposit $1800 each year into the account in a near-continuous manner for the same amount of time. What will be the value of her account after 25 years if she stays true to this plan

Answer 1

Answer:

The value of her account after 25 years, if she stays true to the plan is:

= $152,823.31.

Explanation:

a) Data and Calculations:

Initial deposits = $35,000

Period of investment = 25 years

Interest rate per year = 3.5% compounded continuously

Annual deposit into the same account = $1,800

Period of investment = 25 at 3.5% interest rate

Total value of her IRA account after 25 years:

Future value of $35,000 =       $82,713.57

Future value of $1,800 yearly = 70,109.74

Total future value =                 $152,823.31

From an online financial calculator:

N (# of periods)  25

I/Y (Interest per year)  3.5

PV (Present Value)  35000

PMT (Periodic Payment)  0

Results

FV = $82,713.57

Total Interest $47,713.57

N (# of periods)  25

I/Y (Interest per year)  3.5

PV (Present Value)  0

PMT (Periodic Payment)  1800

Results

FV = $70,109.74

Sum of all periodic payments $45,000.00

Total Interest $25,109.74