g how much money should be deposited today in account that earns 5% compounded interest quarterly so that it will accumulate to 7600 in 9 years

Respuesta :

Answer:

Present value of 7600 in 9 years at 5% compounded quarterly = 4,859.51

Explanation:

You will need to invest $4,859.51 at the beginning to reach the future value of $7,600.00 in 9 years at 5% compounded quarterly.

Using an online financial calculator:

FV (Future Value) = $7,600

PV (Present Value)  = $4,859.51

N (Number of Periods) = 36 quarters (9 x 4)

I/Y (Interest Rate) = 1.250%  (5%/4)

PMT (Periodic Payment) = $0.00

Starting Investment = $4,859.51

Total Principal = $4,859.51

Total Interest = $2,740.49

The compound interest rate is divided into the number of quarters, which is 4 and the number of periods will become 9 x 4 = 36.  Then the present value of $7,600 is determined using the PV table or an online calculator, as above.