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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.): |
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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 |