Anthony and Michelle Constantino just got married and received ​$28,000in cash gifts for their wedding. How much will they have on their​ twenty-fifth anniversary if they place half of this money in a​ fixed-rate investment earning 10 percent compounded​ annually? Would the future value be larger or smaller if the compounding period was 6​ months? How much more or less would they have earned with this shorter compounding​ period?     If they place half of this​ money, PV, in a fixed rate investment earning 10percent compounded​ annually, the amount they will​ have, FV, on their​ twenty-fifth anniversary is ​$   ​(Round to the nearest​ ce

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Anthony and Michelle Constantino just got married and received ​$28,000in cash gifts for their wedding. How much will they have on their​ twenty-fifth anniversary if they place half of this money in a​ fixed-rate investment earning 10
percent compounded​ annually? Would the future value be larger or smaller if the compounding period was 6​ months? How much more or less would they have earned with this shorter compounding​ period?  
 
If they place half of this​ money, PV, in a fixed rate investment earning 10percent compounded​ annually, the amount they will​ have, FV, on their​ twenty-fifth anniversary is ​$   ​(Round to the nearest​ cent.)
Data table
1
2
3
4
6
6
7
1.072 1.149 1.230
8
1.083 1.172 1.267
9 1.094 1.195 1.305
10 1.106 1.219 1.344
11
1.116 1.243 1.384
1.127 1.268 1.426
12
13
1.130 1.294 1.469
14
1.149 1.319 1.513
15 1.161 1.346 1.568
16 1.173 1.373 1.605
17
1.184 1.400 1.663
18 1.196 1.428 1.702
19 1.200 1.457 1.764
20
21
22
1.220 1.436 1.506
1.232 1.516 1.860
1.245 1.546 1.916
1.257 1.577 1.974
1.608 2.033
1.270
1.282
1.348
1.641 2.094
1.811 2.427
1.489
2.208 3.262
1.645 2.692 4.384
SSSXXX
23
24
25
30
40
1%
2%
3%
1.010 1.020
1.030
1.020 1.040 1.061
1.030
1.061 1.093
1.041
1.002 1.126
1.051 1.104 1.159
1.062 1.126 1.194
50
3.5%
1.036
1.071
1.109
1.148
1.188
1.229
1.272
1.317
1.363
1.411
1.460
1.511
1.564
1.619
1.675
1.734
1.796
1.857
1.923
1.990
2.059
2.132
2206
2283
2.363
2.807
3.959
5.585
Compound Sum of $1 (FVIF)
6%
1.040
1.050
1.002 1.103
1.125
1.158
1.170
1217
1.265
1.873 2.183
1.948 2.292
1.216 1.262
1.276 1.338
1.340
1.419
1.316
1.407
1.504
1.369 1.477
1.594
1.423 1.561 1.689
1.480 1.629 1.791
1.539
1.601
1.710 1.890
1.796
1.665 1.836
1.732
1.900
2.079
1.801
4.801
7.107
7%
1.060
1.070
1.124 1.145
1.191 1.225
2.026
2.407
2.107
2.527
2.693
2.854
3.026
2.191 2.653 3.207
2.279 2.786
2.370 2.925
2.465 3.072
2.563
3.225
2.666
3.243
1.000
1.166
1.260
1311 1.360
1.412
1.403 1.469 1.539
1.501 1.587
1.677
1.606 1.714
1.718 1.861
1.838
1.999
1.967 2.159
2.105 2.332 2.500
2.133
2012 2252 2.518 2.813
2.410 2.720 3.066
2.937 3.342
2.759 3.172
2261 2679
3.642
2.397
2.540 2.952 3.426 3.970
3.700
4.328
3.159
3.380
3.996 4.717
3%
9%
3.617 4.316
3.870
3.400 4.141
3.604
4.430 5.437
3.820
4.741
6.871
4.049
5.072
6.341
3.306 4.292 5.427
4.322
7.040
11.067 18.420
1.090
1.188
1.295
1.828
1.993
2.172
2.367
6.142
4.661 5.604
6.034 6.109
6.669
7.258
7.911
6.845
8.623
5.743 7.612 10.063 13.268
10.256 14.974 21.725 31.409
29.457 46.902 74.358
10%
1.100
1.210
1.331
1.464
1.611
1.772
1.949
2.144
2.358
2.594
2.853
3.138
3.452
3.797
4.177
4.595
6.064
5.560
6.116
6.727
7.400
8.140
8.964
9.850
10.835
17.449
45.259
117.391
Transcribed Image Text:Data table 1 2 3 4 6 6 7 1.072 1.149 1.230 8 1.083 1.172 1.267 9 1.094 1.195 1.305 10 1.106 1.219 1.344 11 1.116 1.243 1.384 1.127 1.268 1.426 12 13 1.130 1.294 1.469 14 1.149 1.319 1.513 15 1.161 1.346 1.568 16 1.173 1.373 1.605 17 1.184 1.400 1.663 18 1.196 1.428 1.702 19 1.200 1.457 1.764 20 21 22 1.220 1.436 1.506 1.232 1.516 1.860 1.245 1.546 1.916 1.257 1.577 1.974 1.608 2.033 1.270 1.282 1.348 1.641 2.094 1.811 2.427 1.489 2.208 3.262 1.645 2.692 4.384 SSSXXX 23 24 25 30 40 1% 2% 3% 1.010 1.020 1.030 1.020 1.040 1.061 1.030 1.061 1.093 1.041 1.002 1.126 1.051 1.104 1.159 1.062 1.126 1.194 50 3.5% 1.036 1.071 1.109 1.148 1.188 1.229 1.272 1.317 1.363 1.411 1.460 1.511 1.564 1.619 1.675 1.734 1.796 1.857 1.923 1.990 2.059 2.132 2206 2283 2.363 2.807 3.959 5.585 Compound Sum of $1 (FVIF) 6% 1.040 1.050 1.002 1.103 1.125 1.158 1.170 1217 1.265 1.873 2.183 1.948 2.292 1.216 1.262 1.276 1.338 1.340 1.419 1.316 1.407 1.504 1.369 1.477 1.594 1.423 1.561 1.689 1.480 1.629 1.791 1.539 1.601 1.710 1.890 1.796 1.665 1.836 1.732 1.900 2.079 1.801 4.801 7.107 7% 1.060 1.070 1.124 1.145 1.191 1.225 2.026 2.407 2.107 2.527 2.693 2.854 3.026 2.191 2.653 3.207 2.279 2.786 2.370 2.925 2.465 3.072 2.563 3.225 2.666 3.243 1.000 1.166 1.260 1311 1.360 1.412 1.403 1.469 1.539 1.501 1.587 1.677 1.606 1.714 1.718 1.861 1.838 1.999 1.967 2.159 2.105 2.332 2.500 2.133 2012 2252 2.518 2.813 2.410 2.720 3.066 2.937 3.342 2.759 3.172 2261 2679 3.642 2.397 2.540 2.952 3.426 3.970 3.700 4.328 3.159 3.380 3.996 4.717 3% 9% 3.617 4.316 3.870 3.400 4.141 3.604 4.430 5.437 3.820 4.741 6.871 4.049 5.072 6.341 3.306 4.292 5.427 4.322 7.040 11.067 18.420 1.090 1.188 1.295 1.828 1.993 2.172 2.367 6.142 4.661 5.604 6.034 6.109 6.669 7.258 7.911 6.845 8.623 5.743 7.612 10.063 13.268 10.256 14.974 21.725 31.409 29.457 46.902 74.358 10% 1.100 1.210 1.331 1.464 1.611 1.772 1.949 2.144 2.358 2.594 2.853 3.138 3.452 3.797 4.177 4.595 6.064 5.560 6.116 6.727 7.400 8.140 8.964 9.850 10.835 17.449 45.259 117.391
Expert Solution
Step 1

Data given:

Amount received =$28,000

PV=Amount to be invested = $28000 /2 = $14000

r=Rate = 10%  compounded annually

t= 25 years

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