A good stockdash–based mutual fund should earn at least 5% per year over a long period of time. Consider the case of Barney and​ Lynn, who were overheard gloating​ (for all to​ hear) about how well they had done with their mutual fund​ investment." We turned a $32,500 investment of money in 1982 into $150,000 in 2007​." a. What return​ (interest rate) did they really earn on their​ investment? Should they have been bragging about how​ investment-savvy they​ were? b.​ Instead, if $1,500 had been invested each year for 25 years to accumulate ​$150,000​, what return did Barney and Lynn​ earn?

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
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A good stockdash–based mutual fund should earn at least 5% per year over a long period of time. Consider the case of Barney and​ Lynn, who were overheard gloating​ (for all to​ hear) about how well they had done with their mutual fund​ investment." We turned a $32,500 investment of money in 1982 into $150,000 in 2007​."
a. What return​ (interest rate) did they really earn on their​ investment? Should they have been bragging about how​ investment-savvy they​ were?
b.​ Instead, if $1,500 had been invested each year for 25 years to accumulate ​$150,000​, what return did Barney and Lynn​ earn?
N
1
2
3
4
5
6
7
8
9
10
11
2341516F81920 12223 24 25 30 35 0 45 50
17
40
Single Payment
Compound
Amount Present
Factor
To Find F
Given P
F/P
1.0500
1.1025
1.1576
1.2155
1.2763
1.3401
1.4071
1.4775
1.5513
1.6289
1.7103
1.7959
1.8856
1.9799
2.0789
2.1829
2.2920
2.4066
2.5270
2.6533
2.7860
2.9253
3.0715
3.2251
3.3864
4.3219
Discrete Compounding;/= 5%
5.5160
7.0400
8.9850
11.4674
Worth Factor
To Find P
Given F
P/F
0.9524
0.9070
0.8638
0.8227
0.7835
0.7462
0.7107
0.6768
0.6446
0.6139
0.5847
0.5568
0.5303
0.5051
0.4810
0.4581
0.4363
0.4155
0.3957
0.3769
0.3589
0.3418
0.3256
0.3101
0.2953
0.2314
0.1813
0.1420
0.1113
0.0872
Compound
Amount
Factor
To Find F
Given A
F/A
1.0000
2.0500
3.1525
4.3101
5.5256
6.8019
8.1420
9.5491
11.0266
12.5779
14.2068
15.9171
17.7130
19.5986
21.5786
23.6575
Uniform Series
Present
Worth Factor
To Find P
Given A
P/A
0.9524
1.8594
2.7232
3.5460
4.3295
5.0757
5.7864
6.4632
7.1078
7.7217
8.3064
8.8633
9.3936
9.8986
10.3797
10.8378
25.8404
11.2741
28.1324
11.6896
30.5390
12.0853
33.0660
12.4622
35.7193
12.8212
38.5052
13.1630
41.4305
13.4886
44.5020
13.7986
47.7271
14.0939
66.4388
15.3725
90.3203
16.3742
120.7998 17.1591
159.7002
17.7741
209.3480
18.2559
Sinking
Fund
Factor
To Find A
Given F
A/F
1.0000
0.4878
0.3172
0.2320
0.1810
0.1470
0.1228
0.1047
0.0907
0.0795
0.0704
0.0628
0.0565
0.0510
0.0463
0.0423
0.0387
0.0355
0.0327
0.0302
0.0280
0.0260
0.0241
0.0225
0.0210
0.0151
0.0111
0.0083
0.0063
0.0048
Capital
Recovery
Factor
To Find A
Given P
A/P
1.0500
0.5378
0.3672
0.2820
0.2310
0.1970
0.1728
0.1547
0.1407
0.1295
0.1204
0.1128
0.1065
0.1010
0.0963
0.0923
0.0887
0.0855
0.0827
0.0802
0.0780
0.0760
0.0741
0.0725
0.0710
0.0651
0.0611
0.0583
0.0563
0.0548
Transcribed Image Text:N 1 2 3 4 5 6 7 8 9 10 11 2341516F81920 12223 24 25 30 35 0 45 50 17 40 Single Payment Compound Amount Present Factor To Find F Given P F/P 1.0500 1.1025 1.1576 1.2155 1.2763 1.3401 1.4071 1.4775 1.5513 1.6289 1.7103 1.7959 1.8856 1.9799 2.0789 2.1829 2.2920 2.4066 2.5270 2.6533 2.7860 2.9253 3.0715 3.2251 3.3864 4.3219 Discrete Compounding;/= 5% 5.5160 7.0400 8.9850 11.4674 Worth Factor To Find P Given F P/F 0.9524 0.9070 0.8638 0.8227 0.7835 0.7462 0.7107 0.6768 0.6446 0.6139 0.5847 0.5568 0.5303 0.5051 0.4810 0.4581 0.4363 0.4155 0.3957 0.3769 0.3589 0.3418 0.3256 0.3101 0.2953 0.2314 0.1813 0.1420 0.1113 0.0872 Compound Amount Factor To Find F Given A F/A 1.0000 2.0500 3.1525 4.3101 5.5256 6.8019 8.1420 9.5491 11.0266 12.5779 14.2068 15.9171 17.7130 19.5986 21.5786 23.6575 Uniform Series Present Worth Factor To Find P Given A P/A 0.9524 1.8594 2.7232 3.5460 4.3295 5.0757 5.7864 6.4632 7.1078 7.7217 8.3064 8.8633 9.3936 9.8986 10.3797 10.8378 25.8404 11.2741 28.1324 11.6896 30.5390 12.0853 33.0660 12.4622 35.7193 12.8212 38.5052 13.1630 41.4305 13.4886 44.5020 13.7986 47.7271 14.0939 66.4388 15.3725 90.3203 16.3742 120.7998 17.1591 159.7002 17.7741 209.3480 18.2559 Sinking Fund Factor To Find A Given F A/F 1.0000 0.4878 0.3172 0.2320 0.1810 0.1470 0.1228 0.1047 0.0907 0.0795 0.0704 0.0628 0.0565 0.0510 0.0463 0.0423 0.0387 0.0355 0.0327 0.0302 0.0280 0.0260 0.0241 0.0225 0.0210 0.0151 0.0111 0.0083 0.0063 0.0048 Capital Recovery Factor To Find A Given P A/P 1.0500 0.5378 0.3672 0.2820 0.2310 0.1970 0.1728 0.1547 0.1407 0.1295 0.1204 0.1128 0.1065 0.1010 0.0963 0.0923 0.0887 0.0855 0.0827 0.0802 0.0780 0.0760 0.0741 0.0725 0.0710 0.0651 0.0611 0.0583 0.0563 0.0548
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