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ACCT 200 - TVM ASSIGNMENT #1 Due in lecture on November 5th. 1. Calculate the future value of $8.000 deposited in a bank for
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Answer #1

Part 1A

Period 5
Interest rate per annual 8%
Period FV factor @8%
1              1.08000
2              1.16640
3              1.25971
4              1.36049
5              1.46933
Future value (1.46933*8000) $            11,755

Part 1B

Period (5*2) 10
Interest rate per semi-annual (8%/2) 4%
Period FV factor @4%
1                1.04000
2                1.08160
3                1.12486
4                1.16986
5                1.21665
6                1.26532
7                1.31593
8                1.36857
9                1.42331
10                1.48024
Future value (1.48024*8000) $              11,842

Part 1C

Period (5*4) 20
Interest rate per quarterly (8%/4) 2%
Period FV factor @2%
1                    1.02000
2                    1.04040
3                    1.06121
4                    1.08243
5                    1.10408
6                    1.12616
7                    1.14869
8                    1.17166
9                    1.19509
10                    1.21899
11                    1.24337
12                    1.26824
13                    1.29361
14                    1.31948
15                    1.34587
16                    1.37279
17                    1.40024
18                    1.42825
19                    1.45681
20                    1.48595
Future value (1.48595*8000) $                  11,888

Part 2A

Period 7
Interest rate per annual 12%
Period PV factor @12%
1              0.89286
2              0.79719
3              0.71178
4              0.63552
5              0.56743
6              0.50663
7              0.45235
Present value (0.45235*4500) $              2,036

Part 2B

Period (7*2) 14
Interest rate per semi-annual (12%/2) 6%
Period PV factor @6%
1                    0.94340
2                    0.89000
3                    0.83962
4                    0.79209
5                    0.74726
6                    0.70496
7                    0.66506
8                    0.62741
9                    0.59190
10                    0.55839
11                    0.52679
12                    0.49697
13                    0.46884
14                    0.44230
Present value (0.44230*4500) $                     1,990

Part 2C

Period (7*4) 28
Interest rate per quarterly (12%/4) 3%
Period PV factor @3%
1                0.97087
2                0.94260
3                0.91514
4                0.88849
5                0.86261
6                0.83748
7                0.81309
8                0.78941
9                0.76642
10                0.74409
11                0.72242
12                0.70138
13                0.68095
14                0.66112
15                0.64186
16                0.62317
17                0.60502
18                0.58739
19                0.57029
20                0.55368
21                0.53755
22                0.52189
23                0.50669
24                0.49193
25                0.47761
26                0.46369
27                0.45019
28                0.43708
Present value (0.43708*4500) $                1,967
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