harry morgan plans to make 30 quarterly payments what is the value of the savings account after the 30 quarterly deposits

D) $8,276

Explanation:

The question is not complete, hence find below question:

Harry Morgan plans to make 30 quarterly deposits of $200 into a savings account. The first deposit will be made immediately. The savings account pays interest at an annual rate of 8%, compounded quarterly. How much will Harry have accumulated in the savings account at the end of the seven and a half-year period? (Use the appropriate table in the text.)

A) $8,114

B) $24,469

C) $6,000

D) $8,276

Note that this is a case of annuity due whose future value formula is found below:

FV=quarterly payment*(1+r)^n-1/r*(1+r)

FV=future value of quarterly deposits which is unknown

quarterly deposit=$200

r=quarterly interest rate=8%/4=2%

n=number of quarterly deposits in 7.5years=7.5*4=30

FV=200*(1+2%)^30-1/2%*(1+2%)

FV=200*(1.811361584 -1)/2%*(1+2%)

FV=200*0.811361584/2%*1.02=$8,276

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