Question

At what constant, continuous rate must money be deposited into an account if the account is to contain $23000 in 7 years? The account earns 3.5% interest compounded continuously.

Answer 1

Answer:

You will need to contribute $2,856.55 at the beginning of each period to reach the future value of $23,000.00.

Explanation:

Future value of investment = $23,000

Number of period = 7 years

Interest rate = 3.5% compounded annually

Using an online finance calculator:

FV (Future Value) $23,000.01

PV (Present Value) $18,077.80

N (Number of Periods) 7.000

I/Y (Interest Rate) 3.500%

PMT (Periodic Payment) $2,856.55

Starting Investment $0.00

Total Principal $19,995.82

Total Interest $3,004.19