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5,000 is deposited today into a bank account. The account earns 3.9% per annum compounded half...

5,000 is deposited today into a bank account. The account earns 3.9% per annum compounded half yearly for the first 4 years, then 8.9% per annum compounded quarterly thereafter. Assuming no further deposits or withdrawals are made, (a) Calculate the account balance six months from today.

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Answer #1

a.

Initial Deposit = $5,000

For first 4 years,

APR(semi-annually) = 3.90%

Calculating Account Balance in 6 months,

Future Value = PV(1 + r)t

Future Value = 5,000(1 + 0.039/2)1

Future Value in 6 months = $5,097.50

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