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value: 20

Accounting

  1. value:
    20.00 points

    Exercise 6-2 Future value; single amounts [LO6-2]

    Determine the future value of $10,000 under each of the following sets of assumptions (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.):

     
     
      Annual Rate Period Invested Interest Compounded i = n = Present Value Future Value
    1. 10% 10 years Semiannually       $10,000  
    2. 12% 5 years Quarterly     $10,000  
    3. 24% 30 months Monthly     $10,000

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Determination of Future value (FV):

FV = Present value (PV) × (1+i)n

Where "i" is Interest rate, "n" is no of periods.

  Annual rate Period invested Interest compounded "i" "n" PV FV
1 10% 10 years Semi annually

10%(1/2)

= 5%

10 years × 2

= 20 periods

$ 10,000

$10,000×(1+0.05)20

= $ 10,000 × 2.6533

= $ 26,533

????

2 12% 5 years Quarterly

12% (1/4)

= 3%

5 years × 4

= 20 periods

$ 10,000

$10,000×(1+0.03)20

= $ 10,000×1.8061

= $ 18,061

3 24% 30 months Monthly

24%(1/12)

= 2%

30 periods $ 10,000

$10,000×(1+0.02)30

= $ 10,000×1.8114

= $ 18,114