Question

In: Finance

(Future value) To what amount will $ 4800 invested for 8 years at 9 percent compounded...

(Future value) To what amount will $ 4800 invested for 8 years at 9 percent compounded annually accumulate? $4800 invested for 8 years at 9 percent compounded annually will accumulate to $ _____ (Round to the nearest cent.)

Solutions

Expert Solution

A =P(1+r/n)nt
A = Future value of the investment
P= the principal investment amount (the initial deposit or loan amount)
r =   the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for
A = ?
P =                      4,800
r = 9.0% or               0.09
n =                              1 Per Year  
t =                              8 Years
Total Compounding period =                              8 Times
A   = P   (               1 +   r / n )nt
A   = $           4,800 (               1 +                0.090 /                   1 ) 1 x 8
A   = $           4,800 (               1 +                0.090 /                   1 ) 8
A   = $           4,800 (               1 +   0.0900 ) 8
A   = $           4,800 (      1.0900 ) 8
A   = $           4,800 *          1.9926
A   = $      9,564.30
Answer = $ 9,564.30

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