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Nancy Hernandez invested $5500 twice a year in an annuity due at Capital Appreciation, Inc

Accounting Aug 12, 2020

Nancy Hernandez invested $5500 twice a year in an annuity due at Capital Appreciation, Inc. for a period of 5 years at an interest rate of 8% compounded semiannually.

 

Using the ordinary annuity table, calculate the total value of the annuity due at the end of the 5-year period.

Expert Solution

Computation of Total Value of the annuity due at the end of the 5-year period using FV function in Excel:

=-fv(rate,nper,pmt,pv)

Here,

FV = Future Value or Total Value of the annuity due at the end of the 5-year period =?

Rate = 8%/2 = 4%

Nper = 5 Years*2 = 10 Periods

PMT = $5,500

PV = 0

Substituting the values in formula:

=-fv(4%,10,5500,0)

FV or Future Value or Total Value of the annuity due at the end of the 5-year period = $66,033.59

 

Or

 

Total Value of the annuity due at the end of the 5-year period = Cash Flows * FVAF(i,n)

= $5,500*12.00611

Total Value of the annuity due at the end of the 5-year period = $66,033.59

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