Treasure Mountain International School in Park City, Utah, is a public middle school interested in raising money for next year's Sundance Film Festival. If the school raises $15,600 and invests it for 1 year at 3% interest compounded annually, what is the APY earned? (Use the Table provided.) Note: Do not round intermediate calculations. Round your answer to the nearest whole percent. APY %

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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Question
10/12/22, 7:02 PM
Period
1
2
3
4
5
Present value interest factor of $1 per period at i% for n periods, PVIF(i,n).
0.5%
1.0%
0.9950 0.9901
1.5%
0.9852
2.0%
0.9804
0.9901
0.9803
0.9707
0.9612
0.9851
0.9706
0.9563
0.9423
0.9802
0.9610
0.9422
0.9238
0.9754 0.9515
0.9283
0.9057
0.9705
0.9420
0.9145
0.8880
0.9657 0.9327
0.9010
0.8706
0.9609 0.9235
0.8877
0.8535
0.9561
0.9143 0.8746
0.8368
0.9513
0.9053
0.8617
0.8203
0.9466
0.8963
0.8489
0.8043
0.9419 0.8874
0.8364
0.7885
0.9372
0.8787
0.8240
0.7730
0.9326
0.8700
0.8118
0.7579
0.9279
0.8613
0.7999
0.7430
0.9233
0.8528
0.7880
0.7284
0.9187
0.8444
0.7764
0.7142
0.9141
0.8360
0.7649
0.7002
0.9096 0.8277
0.7536
0.6864
0.9051
0.8195
0.7425
0.6730
0.9006
0.8114
0.7315
0.6598
0.8961
0.8034
0.7207
0.6468
0.8916
0.7954
0.7100
0.6342
0.8872 0.7876 0.6995
0.6217
0.8828 0.7798
0.6892
0.6095
0.8784
0.6790
0.5976
0.7720
0.8740 0.7644
0.6690
0.5859
0.8697
0.7568
0.6591
0.5744
0.8653 0.7493
0.6494
0.5631
0.8610
0.6398
0.5521
0.7419
0.8567 0.7346
0.6303
0.5412
0.8525 0.7273
0.6210
0.5306
0.8482 0.7201
0.6118
0.5202
0.6028
0.5100
0.8440 0.7130
0.8398 0.7059
0.5939
0.5000
0.8356 0.6989
0.5851
0.4902
0.5764
0.4806
0.8315
0.8274
0.6920
0.6852
0.5679
0.4712
0.8232 0.6784 0.5595
0.4619
0.4529
0.5513
0.5431
0.8151
0.4440
0.8191 0.6717
0.6650
0.8110 0.6584
0.8070 0.6519
0.8030 0.6454
0.5351
0.4353
0.5272
0.4268
0.5194 0.4184
0.7990 0.6391
0.5117
0.4102
0.7950 0.6327
0.5042
0.4022
0.4967
0.3943
0.7910 0.6265
0.7871 0.6203
0.7832 0.6141
0.3865
0.4894
0.4821
0.3790
0.7793 0.6080
0.4750
0.3715
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
Present value interest factor of $1 per period at i% for n periods, PVIF(i,n).
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
2.5%
0.9756
0.9518
0.9286
0.9060
0.8839
0.8623
0.8413
0.8207
0.8007
0.7812
0.7621
0.7436
0.7254
0.7077
0.6905
0.6736
0.6572
0.6412
0.6255
0.6103
0.5954
0.5809
0.5667
0.5529
0.5394
0.5262
0.5134
0.5009
0.4887
0.4767
0.4651
0.4538
0.4427
0.4319
0.4214
0.4111
0.4011
0.3913
0.3817
0.3724
0.3633
0.3545
0.3458
0.3374
0.3292
0.3211
0.3133
0.3057
0.2982
0.2909
3.0%
0.9709
0.9426
0.9151
0.8885
0.8626
0.8375
0.8131
0.7894
0.7664
0.7441
0.7224
0.7014
0.6810
0.6611
0.6419
0.6232
0.6050
0.5874
0.5703
0.5537
0.5375
0.5219
0.5067
0.4919
0.4776
0.4637
0.4502
0.4371
0.4243
0.4120
0.4000
0.3883
0.3770
0.3660
0.3554
0.3450
0.3350
0.3252
0.3158
0.3066
0.2976
0.2890
0.2805
0.2724
0.2644
0.2567
0.2493
0.2420
0.2350
0.2281
3.5%
0.9662
0.9335
0.9019
0.8714
0.8420
0.8135
0.7860
0.7594
0.7337
0.7089
0.6849
0.6618
0.6394
0.6178
0.5969
0.5767
0.5572
0.5384
0.5202
0.5026
0.4856
0.4692
0.4533
0.4380
0.4231
0.4088
0.3950
0.3817
0.3687
0.3563
0.3442
0.3326
0.3213
0.3105
0.3000
0.2898
0.2800
0.2706
0.2614
0.2526
0.2440
0.2358
0.2278
0.2201
0.2127
0.2055
0.1985
0.1918
0.1853
0.1791
4.0%
0.9615
0.9246
0.8890
0.8548
0.8219
0.7903
0.7599
0.7307
0.7026
0.6756
0.6496
0.6246
0.6006
0.5775
0.5553
0.5339
0.5134
0.4936
0.4746
0.4564
0.4388
0.4220
0.4057
0.3901
0.3751
0.3607
0.3468
0.3335
0.3207
0.3083
0.2965
0.2851
0.2741
0.2636
0.2534
0.2437
0.2343
0.2253
0.2166
0.2083
0.2003
0.1926
0.1852
0.1780
0.1712
0.1646
0.1583
0.1522
0.1463
0.1407
4.5%
0.9569
0.9157
0.8763
0.8386
0.8025
0.7679
0.7348
0.7032
0.6729
0.6439
0.6162
0.5897
0.5643
0.5400
0.5167
0.4945
0.4732
0.4528
0.4333
0.4146
0.3968
0.3797
0.3634
0.3477
0.3327
0.3184
0.3047
0.2916
0.2790
0.2670
0.2555
0.2445
0.2340
0.2239
0.2143
0.2050
0.1962
0.1878
0.1797
0.1719
0.1645
0.1574
0.1507
0.1442
0.1380
0.1320
0.1263
0.1209
0.1157
0.1107
https://ezto-cf-media.mheducation.com/Media/Connect_Production/bne/slater_14e/Presentvalue_decimal.htm
5.0%
0.9524
0.9070
0.8538
0.8227
0.7835
0.74162
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
0.2812
0.2578
0.2551
0.24129
0.2314
0.2204
0.2099
0.1999
0.1904
0.1813
0.1727
0.1544
0.1566
0.1491
0.14120
0.1353
0.1288
0.1227
0.1169
0.1113
0.1060
0.1009
0.0961
0.0916
0.0872
5.5%
0.9479
0.8985
0.8516
0.8072
0.7651
0.7252
0.6874
0.6516
0.6176
0.5854
0.5549
0.5260
0.4986
0.4726
0.4479
0.4246
0.4024
0.3815
0.3616
0.3427
0.3249
0.3079
0.2919
0.2767
0.2622
0.2486
0.2356
0.2233
0.2117
0.2006
0.1902
0.1803
0.1709
0.1620
0.1535
0.1455
0.1379
0.1307
0.1239
0.1175
0.1113
0.1055
0.1000
0.0948
0.0899
0.0852
0.0807
0.0765
0.0725
0.0688
6.0%
6.5%
0.9434
0.939
0.8900
0.881
0.8396
0.827
0.7921
0.777
0.7473
0.729
0.7050
0.685
0.6651
0.643
0.6274
0.604
0.5919
0.567
0.5584
0.532
0.5268
0.500
0.4970
0.469
0.4688
0.441
0.4423
0.414
0.4173
0.388
0.3936
0.365
0.3714
0.342
0.3503
0.321
0.3305
0.302
0.3118
0.283
0.2942
0.266
0.2775
0.250
0.2618
0.234
0.2470
0.220
0.2330
0.207
0.2198
0.194
0.2074
0.182
0.1956
0.171
0.1846
0.161
0.1741 0.151
0.1643
0.142
0.1550
0.133
0.1462
0.125
0.1379
0.117
0.1301
0.110
0.1227
0.103
0.1158
0.097
0.1092
0.091
0.1031
0.085
0.0972
0.080
0.0917
0.075
0.0865
0.071
0.0816
0.066
0.0770
0.062
0.0727
0.058
0.0685
0.055
0.0647
0.051
0.0610
0.048
0.0575
0.045
0.0543
0.042
1/1
Transcribed Image Text:10/12/22, 7:02 PM Period 1 2 3 4 5 Present value interest factor of $1 per period at i% for n periods, PVIF(i,n). 0.5% 1.0% 0.9950 0.9901 1.5% 0.9852 2.0% 0.9804 0.9901 0.9803 0.9707 0.9612 0.9851 0.9706 0.9563 0.9423 0.9802 0.9610 0.9422 0.9238 0.9754 0.9515 0.9283 0.9057 0.9705 0.9420 0.9145 0.8880 0.9657 0.9327 0.9010 0.8706 0.9609 0.9235 0.8877 0.8535 0.9561 0.9143 0.8746 0.8368 0.9513 0.9053 0.8617 0.8203 0.9466 0.8963 0.8489 0.8043 0.9419 0.8874 0.8364 0.7885 0.9372 0.8787 0.8240 0.7730 0.9326 0.8700 0.8118 0.7579 0.9279 0.8613 0.7999 0.7430 0.9233 0.8528 0.7880 0.7284 0.9187 0.8444 0.7764 0.7142 0.9141 0.8360 0.7649 0.7002 0.9096 0.8277 0.7536 0.6864 0.9051 0.8195 0.7425 0.6730 0.9006 0.8114 0.7315 0.6598 0.8961 0.8034 0.7207 0.6468 0.8916 0.7954 0.7100 0.6342 0.8872 0.7876 0.6995 0.6217 0.8828 0.7798 0.6892 0.6095 0.8784 0.6790 0.5976 0.7720 0.8740 0.7644 0.6690 0.5859 0.8697 0.7568 0.6591 0.5744 0.8653 0.7493 0.6494 0.5631 0.8610 0.6398 0.5521 0.7419 0.8567 0.7346 0.6303 0.5412 0.8525 0.7273 0.6210 0.5306 0.8482 0.7201 0.6118 0.5202 0.6028 0.5100 0.8440 0.7130 0.8398 0.7059 0.5939 0.5000 0.8356 0.6989 0.5851 0.4902 0.5764 0.4806 0.8315 0.8274 0.6920 0.6852 0.5679 0.4712 0.8232 0.6784 0.5595 0.4619 0.4529 0.5513 0.5431 0.8151 0.4440 0.8191 0.6717 0.6650 0.8110 0.6584 0.8070 0.6519 0.8030 0.6454 0.5351 0.4353 0.5272 0.4268 0.5194 0.4184 0.7990 0.6391 0.5117 0.4102 0.7950 0.6327 0.5042 0.4022 0.4967 0.3943 0.7910 0.6265 0.7871 0.6203 0.7832 0.6141 0.3865 0.4894 0.4821 0.3790 0.7793 0.6080 0.4750 0.3715 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 Present value interest factor of $1 per period at i% for n periods, PVIF(i,n). 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 2.5% 0.9756 0.9518 0.9286 0.9060 0.8839 0.8623 0.8413 0.8207 0.8007 0.7812 0.7621 0.7436 0.7254 0.7077 0.6905 0.6736 0.6572 0.6412 0.6255 0.6103 0.5954 0.5809 0.5667 0.5529 0.5394 0.5262 0.5134 0.5009 0.4887 0.4767 0.4651 0.4538 0.4427 0.4319 0.4214 0.4111 0.4011 0.3913 0.3817 0.3724 0.3633 0.3545 0.3458 0.3374 0.3292 0.3211 0.3133 0.3057 0.2982 0.2909 3.0% 0.9709 0.9426 0.9151 0.8885 0.8626 0.8375 0.8131 0.7894 0.7664 0.7441 0.7224 0.7014 0.6810 0.6611 0.6419 0.6232 0.6050 0.5874 0.5703 0.5537 0.5375 0.5219 0.5067 0.4919 0.4776 0.4637 0.4502 0.4371 0.4243 0.4120 0.4000 0.3883 0.3770 0.3660 0.3554 0.3450 0.3350 0.3252 0.3158 0.3066 0.2976 0.2890 0.2805 0.2724 0.2644 0.2567 0.2493 0.2420 0.2350 0.2281 3.5% 0.9662 0.9335 0.9019 0.8714 0.8420 0.8135 0.7860 0.7594 0.7337 0.7089 0.6849 0.6618 0.6394 0.6178 0.5969 0.5767 0.5572 0.5384 0.5202 0.5026 0.4856 0.4692 0.4533 0.4380 0.4231 0.4088 0.3950 0.3817 0.3687 0.3563 0.3442 0.3326 0.3213 0.3105 0.3000 0.2898 0.2800 0.2706 0.2614 0.2526 0.2440 0.2358 0.2278 0.2201 0.2127 0.2055 0.1985 0.1918 0.1853 0.1791 4.0% 0.9615 0.9246 0.8890 0.8548 0.8219 0.7903 0.7599 0.7307 0.7026 0.6756 0.6496 0.6246 0.6006 0.5775 0.5553 0.5339 0.5134 0.4936 0.4746 0.4564 0.4388 0.4220 0.4057 0.3901 0.3751 0.3607 0.3468 0.3335 0.3207 0.3083 0.2965 0.2851 0.2741 0.2636 0.2534 0.2437 0.2343 0.2253 0.2166 0.2083 0.2003 0.1926 0.1852 0.1780 0.1712 0.1646 0.1583 0.1522 0.1463 0.1407 4.5% 0.9569 0.9157 0.8763 0.8386 0.8025 0.7679 0.7348 0.7032 0.6729 0.6439 0.6162 0.5897 0.5643 0.5400 0.5167 0.4945 0.4732 0.4528 0.4333 0.4146 0.3968 0.3797 0.3634 0.3477 0.3327 0.3184 0.3047 0.2916 0.2790 0.2670 0.2555 0.2445 0.2340 0.2239 0.2143 0.2050 0.1962 0.1878 0.1797 0.1719 0.1645 0.1574 0.1507 0.1442 0.1380 0.1320 0.1263 0.1209 0.1157 0.1107 https://ezto-cf-media.mheducation.com/Media/Connect_Production/bne/slater_14e/Presentvalue_decimal.htm 5.0% 0.9524 0.9070 0.8538 0.8227 0.7835 0.74162 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 0.2812 0.2578 0.2551 0.24129 0.2314 0.2204 0.2099 0.1999 0.1904 0.1813 0.1727 0.1544 0.1566 0.1491 0.14120 0.1353 0.1288 0.1227 0.1169 0.1113 0.1060 0.1009 0.0961 0.0916 0.0872 5.5% 0.9479 0.8985 0.8516 0.8072 0.7651 0.7252 0.6874 0.6516 0.6176 0.5854 0.5549 0.5260 0.4986 0.4726 0.4479 0.4246 0.4024 0.3815 0.3616 0.3427 0.3249 0.3079 0.2919 0.2767 0.2622 0.2486 0.2356 0.2233 0.2117 0.2006 0.1902 0.1803 0.1709 0.1620 0.1535 0.1455 0.1379 0.1307 0.1239 0.1175 0.1113 0.1055 0.1000 0.0948 0.0899 0.0852 0.0807 0.0765 0.0725 0.0688 6.0% 6.5% 0.9434 0.939 0.8900 0.881 0.8396 0.827 0.7921 0.777 0.7473 0.729 0.7050 0.685 0.6651 0.643 0.6274 0.604 0.5919 0.567 0.5584 0.532 0.5268 0.500 0.4970 0.469 0.4688 0.441 0.4423 0.414 0.4173 0.388 0.3936 0.365 0.3714 0.342 0.3503 0.321 0.3305 0.302 0.3118 0.283 0.2942 0.266 0.2775 0.250 0.2618 0.234 0.2470 0.220 0.2330 0.207 0.2198 0.194 0.2074 0.182 0.1956 0.171 0.1846 0.161 0.1741 0.151 0.1643 0.142 0.1550 0.133 0.1462 0.125 0.1379 0.117 0.1301 0.110 0.1227 0.103 0.1158 0.097 0.1092 0.091 0.1031 0.085 0.0972 0.080 0.0917 0.075 0.0865 0.071 0.0816 0.066 0.0770 0.062 0.0727 0.058 0.0685 0.055 0.0647 0.051 0.0610 0.048 0.0575 0.045 0.0543 0.042 1/1
Treasure Mountain International School in Park City, Utah, is a public middle school interested in raising money for next year's
Sundance Film Festival. If the school raises $15,600 and invests it for 1 year at 3% interest compounded annually, what is the APY
earned? (Use the Table provided.)
Note: Do not round intermediate calculations. Round your answer to the nearest whole percent.
APY
%
Transcribed Image Text:Treasure Mountain International School in Park City, Utah, is a public middle school interested in raising money for next year's Sundance Film Festival. If the school raises $15,600 and invests it for 1 year at 3% interest compounded annually, what is the APY earned? (Use the Table provided.) Note: Do not round intermediate calculations. Round your answer to the nearest whole percent. APY %
Expert Solution
Step 1

The APY helps to calculate the actual interest earned on an investment over a year if the compounding frequency is n times in a year 

APY or effective annual interest = (1 + r/n )n – 1

where, r = periodic interest rate

n =time period

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