Question

4. How much money needs to be deposited into a certificate of deposit (CD) account to be able to withdraw 50,000.00 from the account at the end of 10 years if the interest rate is 2% compounded monthly?

Answer #1

Compound interest is calculated as
follows:

A = P (1 + r/n)^{nt}

A = annual amount = 50000

r = rate of interest = 2% = 0.02

t = years = 10 years

n = number of times compounded = monthly = 12

P = Principal amount (to be calculated)

50000 = P ( 1+ 0.02/12) ^{12*10}

or, 50000 = P (1+0.0016)^{120}

or, 50000 = P * 1.2211994387

or, P = 50000 / 1.2211994387= 40943.35

**Hence 40,943.35 is to be
deposited** to get a return of 50000 compounded annually at
2% interest after 10 years.

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