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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

User Tomer Geva
by
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1 Answer

1 vote

Answer:

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

Step-by-step 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.

User Alavalathi
by
8.6k points
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