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.