Can you please help me work this problem out in detail?   Carol is depositing $250 into an account every six months earning 6%, compounded semiannually. How much money will be in the account after 5 years?

Essentials Of Investments
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Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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Can you please help me work this problem out in detail?

 

Carol is depositing $250 into an account every six months earning 6%, compounded semiannually. How much money will be in the account after 5 years?

Expert Solution
Step 1

The amount deposited every six months is $250.

The total number of deposits in 5 years would be 10.

The interest rate is 6%, compounded semi-annually. Interest per semi-annual is (6% ÷ 2) = 3%.

The below expression can be used to calculate accumulated value:

Finance homework question answer, step 1, image 1

 

 

Step 2

The accumulated value is:

Finance homework question answer, step 2, image 1

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