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murzikaleks [220]
1 year ago
15

Twice a year for 15 years, Warren Ford invested $1,700 compounded semiannually at 6% interest. What is the value of this annuity

due? (Round your answer to the nearest cent.)
Mathematics
1 answer:
-BARSIC- [3]1 year ago
6 0

The value of Warren Ford annuity due is $80,878.21

Define Future Value of an Annuity.

The future value of an annuity is the value of a group of recurring payments at a certain date in the future, assuming a particular rate of return, or discount rate. The higher the discount rate, the greater the annuity's future value.

Given,

Payment fund semiannually is = $1,700

Rate = 6% or 0.06

Time = 15 years

The future value is,

FVₙ =PMT( (1+i/m)ⁿ - 1 ) / (i/m) )

Where,

PMT = $1,700

i = 0.06

m = 2

n = 15 * 2 = 30 periods

Now, plug in the values

FV₃₀ =  PMT ( (1 + 0.06/2)³⁰ - 1 ) / (0.06/2) )

       = $1,700( (1.03)³⁰ - 1 ) / (0.03) )

       ≈ $80,878.2067 or $80,878.21

Hence, the value of Warren Ford annuity due is $80,878.21

To read more about Future Value

brainly.com/question/27011316

#SPJ1

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