Documentation Center

  • Trial Software
  • Product Updates

mbspassthrough

Mortgage pool cash flows and balances with prepayment

Syntax

[Balance, Payment, Principal, Interest, Prepayment] =
mbspassthrough(OriginalBalance, GrossRate, OriginalTerm,
TermRemaining, PrepaySpeed, PrepayMatrix)

Arguments

OriginalBalance

Original balance value in dollars (balance at the beginning of each TermRemaining).

GrossRate

Gross coupon rate (including fees), in decimal.

OriginalTerm

Term of the mortgage in months.

TermRemaining

(Optional) Number of full months between settlement and maturity.

PrepaySpeed

(Optional) Relation of the conditional payment rate (CPR) to the benchmark model. Default = 0 (no prepayment). Set PrepaySpeed to [] if you input a customized prepayment matrix.

PrepayMatrix

(Optional) Used only when PrepaySpeed is unspecified. Customized prepayment vector. A NaN-padded matrix of size max(TermRemaining)-by-NMBS. Each column corresponds to each mortgage-backed security, and each row corresponds to each month after settlement.

All inputs (except PrepayMatrix) are number of mortgage-backed securities (NMBS) by 1 vectors.

Description

[Balance, Payment, Principal, Prepayment, Interest] = mbspassthrough(OriginalBalance, GrossRate, OriginalTerm, TermRemaining, PrepaySpeed, PrepayMatrix)

All outputs are TermRemaining-by-1 vectors of end-of-month values.

Balance is a matrix for the principal balance at end of month.

Payment is a matrix for the total monthly payment.

Principal is a matrix for the principal portion of the payment.

Interest is a matrix for the interest portion of the payment.

Prepayment is a matrix that indicates any unscheduled principal payment.

By default, the securities are seasoned. The applicable CPR depends upon TermRemaining based on a 30-year prepayment model (PSA or FHA). You may supply a different CPR vector of size TermRemaining-by-1.

Examples

expand all

Compute the Cash Flow of Principal, Interest, and Prepayment of a Pass-Through Security

This example shows how to compute the cash flows and balances of a 3-month old mortgage pool with original term of 360 months, assuming a prepayment speed of 100.

OriginalBalance = 100000;
GrossRate = 0.08125;
OriginalTerm = 360;
TermRemaining = 357;
PrepaySpeed = 100;

[Balance, Payment, Principal, Interest, Prepayment] =...
mbspassthrough(OriginalBalance, GrossRate, OriginalTerm,...
TermRemaining, PrepaySpeed)
Balance =

   1.0e+04 *

    9.9866
    9.9715
    9.9548
    9.9363
    9.9161
    9.8942
    9.8707
    9.8454
    9.8185
    9.7900
    9.7598
    9.7280
    9.6946
    9.6596
    9.6230
    9.5848
    9.5450
    9.5037
    9.4609
    9.4166
    9.3708
    9.3235
    9.2748
    9.2247
    9.1731
    9.1202
    9.0659
    9.0119
    8.9582
    8.9047
    8.8515
    8.7985
    8.7458
    8.6934
    8.6412
    8.5893
    8.5376
    8.4862
    8.4351
    8.3842
    8.3335
    8.2831
    8.2329
    8.1830
    8.1333
    8.0839
    8.0347
    7.9858
    7.9371
    7.8886
    7.8404
    7.7924
    7.7446
    7.6971
    7.6498
    7.6027
    7.5559
    7.5093
    7.4629
    7.4168
    7.3708
    7.3251
    7.2797
    7.2344
    7.1894
    7.1445
    7.0999
    7.0556
    7.0114
    6.9674
    6.9237
    6.8802
    6.8368
    6.7937
    6.7508
    6.7082
    6.6657
    6.6234
    6.5813
    6.5395
    6.4978
    6.4563
    6.4151
    6.3740
    6.3331
    6.2925
    6.2520
    6.2117
    6.1716
    6.1317
    6.0920
    6.0525
    6.0132
    5.9741
    5.9351
    5.8964
    5.8578
    5.8194
    5.7812
    5.7432
    5.7054
    5.6678
    5.6303
    5.5930
    5.5559
    5.5189
    5.4822
    5.4456
    5.4092
    5.3730
    5.3369
    5.3010
    5.2653
    5.2298
    5.1944
    5.1592
    5.1241
    5.0893
    5.0545
    5.0200
    4.9856
    4.9514
    4.9174
    4.8835
    4.8497
    4.8162
    4.7827
    4.7495
    4.7164
    4.6834
    4.6507
    4.6180
    4.5855
    4.5532
    4.5211
    4.4890
    4.4572
    4.4254
    4.3939
    4.3624
    4.3312
    4.3000
    4.2691
    4.2382
    4.2075
    4.1770
    4.1466
    4.1163
    4.0862
    4.0562
    4.0264
    3.9967
    3.9671
    3.9377
    3.9084
    3.8792
    3.8502
    3.8213
    3.7926
    3.7640
    3.7355
    3.7071
    3.6789
    3.6508
    3.6229
    3.5950
    3.5673
    3.5398
    3.5123
    3.4850
    3.4578
    3.4307
    3.4038
    3.3770
    3.3503
    3.3237
    3.2972
    3.2709
    3.2447
    3.2186
    3.1926
    3.1668
    3.1410
    3.1154
    3.0899
    3.0645
    3.0393
    3.0141
    2.9891
    2.9641
    2.9393
    2.9146
    2.8900
    2.8655
    2.8412
    2.8169
    2.7928
    2.7687
    2.7448
    2.7210
    2.6972
    2.6736
    2.6501
    2.6267
    2.6034
    2.5802
    2.5571
    2.5342
    2.5113
    2.4885
    2.4658
    2.4432
    2.4208
    2.3984
    2.3761
    2.3539
    2.3318
    2.3099
    2.2880
    2.2662
    2.2445
    2.2229
    2.2014
    2.1800
    2.1587
    2.1374
    2.1163
    2.0953
    2.0743
    2.0535
    2.0327
    2.0120
    1.9915
    1.9710
    1.9506
    1.9303
    1.9100
    1.8899
    1.8698
    1.8499
    1.8300
    1.8102
    1.7905
    1.7709
    1.7513
    1.7319
    1.7125
    1.6932
    1.6740
    1.6549
    1.6359
    1.6169
    1.5980
    1.5792
    1.5605
    1.5419
    1.5233
    1.5048
    1.4864
    1.4681
    1.4498
    1.4317
    1.4136
    1.3956
    1.3776
    1.3597
    1.3419
    1.3242
    1.3066
    1.2890
    1.2715
    1.2541
    1.2367
    1.2194
    1.2022
    1.1851
    1.1680
    1.1510
    1.1341
    1.1172
    1.1004
    1.0837
    1.0671
    1.0505
    1.0340
    1.0175
    1.0011
    0.9848
    0.9685
    0.9524
    0.9362
    0.9202
    0.9042
    0.8883
    0.8724
    0.8566
    0.8409
    0.8252
    0.8096
    0.7940
    0.7786
    0.7631
    0.7478
    0.7325
    0.7172
    0.7020
    0.6869
    0.6719
    0.6569
    0.6419
    0.6270
    0.6122
    0.5974
    0.5827
    0.5680
    0.5535
    0.5389
    0.5244
    0.5100
    0.4956
    0.4813
    0.4670
    0.4528
    0.4387
    0.4246
    0.4105
    0.3965
    0.3826
    0.3687
    0.3548
    0.3411
    0.3273
    0.3136
    0.3000
    0.2864
    0.2729
    0.2594
    0.2460
    0.2326
    0.2193
    0.2060
    0.1928
    0.1796
    0.1665
    0.1534
    0.1403
    0.1273
    0.1144
    0.1015
    0.0887
    0.0759
    0.0631
    0.0504
    0.0377
    0.0251
    0.0125
         0


Payment =

  743.9671
  743.4693
  742.8468
  742.0999
  741.2285
  740.2329
  739.1132
  737.8699
  736.5034
  735.0139
  733.4021
  731.6684
  729.8136
  727.8383
  725.7432
  723.5292
  721.1972
  718.7479
  716.1826
  713.5021
  710.7075
  707.8002
  704.7812
  701.6518
  698.4134
  695.0674
  691.6152
  688.0582
  684.5195
  680.9990
  677.4966
  674.0122
  670.5458
  667.0971
  663.6663
  660.2530
  656.8573
  653.4791
  650.1182
  646.7747
  643.4483
  640.1390
  636.8468
  633.5715
  630.3130
  627.0713
  623.8463
  620.6378
  617.4459
  614.2704
  611.1112
  607.9682
  604.8414
  601.7307
  598.6360
  595.5572
  592.4942
  589.4470
  586.4155
  583.3996
  580.3991
  577.4141
  574.4445
  571.4901
  568.5509
  565.6269
  562.7178
  559.8238
  556.9446
  554.0802
  551.2306
  548.3956
  545.5752
  542.7693
  539.9778
  537.2007
  534.4379
  531.6893
  528.9548
  526.2343
  523.5279
  520.8354
  518.1567
  515.4919
  512.8407
  510.2031
  507.5791
  504.9687
  502.3716
  499.7879
  497.2175
  494.6603
  492.1162
  489.5853
  487.0673
  484.5623
  482.0702
  479.5909
  477.1244
  474.6705
  472.2293
  469.8006
  467.3844
  464.9807
  462.5893
  460.2102
  457.8433
  455.4886
  453.1460
  450.8155
  448.4969
  446.1903
  443.8955
  441.6126
  439.3414
  437.0818
  434.8339
  432.5976
  430.3727
  428.1593
  425.9573
  423.7666
  421.5871
  419.4189
  417.2618
  415.1158
  412.9809
  410.8569
  408.7439
  406.6417
  404.5503
  402.4697
  400.3998
  398.3406
  396.2919
  394.2538
  392.2261
  390.2089
  388.2020
  386.2055
  384.2192
  382.2432
  380.2773
  378.3215
  376.3758
  374.4401
  372.5144
  370.5985
  368.6925
  366.7963
  364.9099
  363.0332
  361.1661
  359.3086
  357.4607
  355.6223
  353.7933
  351.9737
  350.1635
  348.3626
  346.5710
  344.7886
  343.0153
  341.2512
  339.4961
  337.7501
  336.0130
  334.2849
  332.5657
  330.8553
  329.1537
  327.4609
  325.7767
  324.1013
  322.4344
  320.7761
  319.1264
  317.4851
  315.8523
  314.2278
  312.6117
  311.0040
  309.4045
  307.8132
  306.2301
  304.6552
  303.0883
  301.5295
  299.9788
  298.4360
  296.9011
  295.3742
  293.8550
  292.3437
  290.8402
  289.3444
  287.8563
  286.3759
  284.9030
  283.4378
  281.9800
  280.5298
  279.0871
  277.6517
  276.2237
  274.8031
  273.3898
  271.9838
  270.5849
  269.1933
  267.8088
  266.4315
  265.0612
  263.6980
  262.3418
  260.9926
  259.6503
  258.3149
  256.9864
  255.6647
  254.3498
  253.0417
  251.7403
  250.4456
  249.1576
  247.8761
  246.6013
  245.3330
  244.0713
  242.8160
  241.5672
  240.3248
  239.0888
  237.8592
  236.6359
  235.4189
  234.2081
  233.0036
  231.8052
  230.6131
  229.4270
  228.2471
  227.0732
  225.9054
  224.7435
  223.5877
  222.4377
  221.2937
  220.1556
  219.0234
  217.8969
  216.7763
  215.6614
  214.5522
  213.4488
  212.3510
  211.2589
  210.1724
  209.0915
  208.0161
  206.9463
  205.8820
  204.8231
  203.7697
  202.7217
  201.6791
  200.6419
  199.6100
  198.5834
  197.5621
  196.5460
  195.5352
  194.5295
  193.5290
  192.5337
  191.5435
  190.5584
  189.5784
  188.6034
  187.6334
  186.6684
  185.7083
  184.7532
  183.8030
  182.8577
  181.9173
  180.9817
  180.0509
  179.1249
  178.2037
  177.2872
  176.3754
  175.4683
  174.5658
  173.6680
  172.7749
  171.8863
  171.0023
  170.1228
  169.2479
  168.3774
  167.5114
  166.6499
  165.7928
  164.9402
  164.0919
  163.2480
  162.4084
  161.5731
  160.7421
  159.9154
  159.0930
  158.2748
  157.4608
  156.6509
  155.8453
  155.0438
  154.2464
  153.4531
  152.6639
  151.8787
  151.0976
  150.3205
  149.5474
  148.7783
  148.0131
  147.2519
  146.4946
  145.7411
  144.9916
  144.2459
  143.5040
  142.7660
  142.0317
  141.3013
  140.5746
  139.8516
  139.1323
  138.4168
  137.7049
  136.9967
  136.2921
  135.5911
  134.8938
  134.2000
  133.5098
  132.8232
  132.1401
  131.4605
  130.7844
  130.1118
  129.4426
  128.7769
  128.1146
  127.4557
  126.8002
  126.1480


Principal =

   66.8837
   67.2915
   67.6904
   68.0802
   68.4607
   68.8317
   69.1929
   69.5442
   69.8854
   70.2163
   70.5367
   70.8464
   71.1453
   71.4331
   71.7098
   71.9751
   72.2289
   72.4710
   72.7012
   72.9195
   73.1257
   73.3197
   73.5013
   73.6704
   73.8269
   73.9706
   74.1016
   74.2196
   74.3379
   74.4563
   74.5749
   74.6937
   74.8127
   74.9319
   75.0512
   75.1708
   75.2905
   75.4105
   75.5306
   75.6509
   75.7714
   75.8921
   76.0130
   76.1341
   76.2554
   76.3769
   76.4985
   76.6204
   76.7425
   76.8647
   76.9871
   77.1098
   77.2326
   77.3557
   77.4789
   77.6023
   77.7259
   77.8497
   77.9738
   78.0980
   78.2224
   78.3470
   78.4718
   78.5968
   78.7220
   78.8474
   78.9730
   79.0988
   79.2248
   79.3510
   79.4774
   79.6040
   79.7308
   79.8579
   79.9851
   80.1125
   80.2401
   80.3679
   80.4960
   80.6242
   80.7526
   80.8813
   81.0101
   81.1392
   81.2684
   81.3979
   81.5275
   81.6574
   81.7875
   81.9178
   82.0483
   82.1790
   82.3099
   82.4410
   82.5723
   82.7039
   82.8356
   82.9676
   83.0997
   83.2321
   83.3647
   83.4975
   83.6305
   83.7637
   83.8972
   84.0308
   84.1647
   84.2988
   84.4330
   84.5675
   84.7023
   84.8372
   84.9723
   85.1077
   85.2433
   85.3791
   85.5151
   85.6513
   85.7877
   85.9244
   86.0613
   86.1984
   86.3357
   86.4732
   86.6110
   86.7489
   86.8871
   87.0256
   87.1642
   87.3030
   87.4421
   87.5814
   87.7209
   87.8607
   88.0006
   88.1408
   88.2812
   88.4218
   88.5627
   88.7038
   88.8451
   88.9866
   89.1284
   89.2704
   89.4126
   89.5550
   89.6977
   89.8405
   89.9837
   90.1270
   90.2706
   90.4144
   90.5584
   90.7027
   90.8472
   90.9919
   91.1368
   91.2820
   91.4274
   91.5731
   91.7189
   91.8650
   92.0114
   92.1580
   92.3048
   92.4518
   92.5991
   92.7466
   92.8943
   93.0423
   93.1905
   93.3390
   93.4877
   93.6366
   93.7858
   93.9352
   94.0848
   94.2347
   94.3848
   94.5352
   94.6857
   94.8366
   94.9877
   95.1390
   95.2905
   95.4423
   95.5944
   95.7466
   95.8992
   96.0519
   96.2049
   96.3582
   96.5117
   96.6654
   96.8194
   96.9737
   97.1281
   97.2829
   97.4378
   97.5931
   97.7485
   97.9042
   98.0602
   98.2164
   98.3729
   98.5296
   98.6865
   98.8437
   99.0012
   99.1589
   99.3169
   99.4751
   99.6335
   99.7923
   99.9512
  100.1104
  100.2699
  100.4297
  100.5896
  100.7499
  100.9104
  101.0711
  101.2321
  101.3934
  101.5549
  101.7167
  101.8787
  102.0410
  102.2036
  102.3664
  102.5294
  102.6928
  102.8564
  103.0202
  103.1843
  103.3487
  103.5133
  103.6782
  103.8434
  104.0088
  104.1745
  104.3404
  104.5067
  104.6731
  104.8399
  105.0069
  105.1742
  105.3417
  105.5095
  105.6776
  105.8459
  106.0145
  106.1834
  106.3526
  106.5220
  106.6917
  106.8616
  107.0319
  107.2024
  107.3732
  107.5442
  107.7155
  107.8871
  108.0590
  108.2311
  108.4035
  108.5762
  108.7492
  108.9224
  109.0959
  109.2697
  109.4438
  109.6181
  109.7927
  109.9676
  110.1428
  110.3183
  110.4940
  110.6700
  110.8463
  111.0229
  111.1998
  111.3769
  111.5543
  111.7320
  111.9100
  112.0883
  112.2669
  112.4457
  112.6248
  112.8042
  112.9839
  113.1639
  113.3442
  113.5247
  113.7056
  113.8867
  114.0681
  114.2498
  114.4318
  114.6141
  114.7967
  114.9796
  115.1627
  115.3462
  115.5299
  115.7140
  115.8983
  116.0829
  116.2679
  116.4531
  116.6386
  116.8244
  117.0105
  117.1969
  117.3836
  117.5706
  117.7579
  117.9455
  118.1333
  118.3215
  118.5100
  118.6988
  118.8879
  119.0773
  119.2670
  119.4570
  119.6473
  119.8379
  120.0288
  120.2200
  120.4115
  120.6033
  120.7954
  120.9878
  121.1806
  121.3736
  121.5670
  121.7606
  121.9546
  122.1488
  122.3434
  122.5383
  122.7335
  122.9290
  123.1249
  123.3210
  123.5175
  123.7142
  123.9113
  124.1087
  124.3064
  124.5044
  124.7027
  124.9014
  125.1004
  125.2996


Interest =

  677.0833
  676.1777
  675.1564
  674.0196
  672.7678
  671.4012
  669.9203
  668.3257
  666.6179
  664.7976
  662.8654
  660.8220
  658.6683
  656.4052
  654.0334
  651.5541
  648.9683
  646.2770
  643.4813
  640.5825
  637.5818
  634.4805
  631.2799
  627.9815
  624.5866
  621.0968
  617.5136
  613.8385
  610.1816
  606.5427
  602.9217
  599.3185
  595.7331
  592.1653
  588.6150
  585.0822
  581.5668
  578.0686
  574.5877
  571.1238
  567.6769
  564.2469
  560.8338
  557.4374
  554.0576
  550.6945
  547.3477
  544.0174
  540.7034
  537.4056
  534.1240
  530.8584
  527.6088
  524.3750
  521.1571
  517.9549
  514.7683
  511.5973
  508.4417
  505.3016
  502.1768
  499.0671
  495.9727
  492.8933
  489.8289
  486.7795
  483.7448
  480.7250
  477.7198
  474.7292
  471.7531
  468.7915
  465.8443
  462.9114
  459.9927
  457.0882
  454.1978
  451.3213
  448.4588
  445.6102
  442.7753
  439.9541
  437.1466
  434.3527
  431.5723
  428.8053
  426.0516
  423.3113
  420.5841
  417.8701
  415.1692
  412.4813
  409.8064
  407.1443
  404.4950
  401.8585
  399.2346
  396.6234
  394.0247
  391.4384
  388.8646
  386.3031
  383.7539
  381.2169
  378.6921
  376.1793
  373.6786
  371.1898
  368.7130
  366.2479
  363.7947
  361.3531
  358.9232
  356.5049
  354.0981
  351.7028
  349.3188
  346.9462
  344.5850
  342.2349
  339.8960
  337.5682
  335.2514
  332.9457
  330.6508
  328.3669
  326.0937
  323.8314
  321.5797
  319.3387
  317.1082
  314.8883
  312.6789
  310.4799
  308.2913
  306.1129
  303.9449
  301.7870
  299.6393
  297.5017
  295.3742
  293.2566
  291.1489
  289.0512
  286.9633
  284.8851
  282.8167
  280.7580
  278.7089
  276.6693
  274.6393
  272.6188
  270.6077
  268.6059
  266.6135
  264.6304
  262.6565
  260.6917
  258.7361
  256.7896
  254.8520
  252.9235
  251.0039
  249.0932
  247.1914
  245.2983
  243.4140
  241.5383
  239.6713
  237.8130
  235.9632
  234.1219
  232.2890
  230.4646
  228.6486
  226.8409
  225.0416
  223.2504
  221.4675
  219.6927
  217.9260
  216.1674
  214.4168
  212.6742
  210.9396
  209.2129
  207.4940
  205.7829
  204.0796
  202.3840
  200.6962
  199.0160
  197.3433
  195.6783
  194.0208
  192.3708
  190.7282
  189.0930
  187.4652
  185.8447
  184.2315
  182.6256
  181.0269
  179.4353
  177.8509
  176.2735
  174.7033
  173.1400
  171.5837
  170.0344
  168.4920
  166.9564
  165.4277
  163.9058
  162.3906
  160.8822
  159.3804
  157.8853
  156.3968
  154.9149
  153.4395
  151.9706
  150.5082
  149.0522
  147.6027
  146.1595
  144.7226
  143.2920
  141.8677
  140.4497
  139.0378
  137.6321
  136.2325
  134.8390
  133.4516
  132.0702
  130.6948
  129.3254
  127.9619
  126.6043
  125.2525
  123.9066
  122.5665
  121.2322
  119.9036
  118.5808
  117.2636
  115.9520
  114.6461
  113.3458
  112.0510
  110.7617
  109.4780
  108.1997
  106.9268
  105.6593
  104.3973
  103.1405
  101.8891
  100.6430
   99.4021
   98.1664
   96.9360
   95.7107
   94.4906
   93.2756
   92.0657
   90.8608
   89.6610
   88.4661
   87.2763
   86.0914
   84.9114
   83.7363
   82.5661
   81.4007
   80.2401
   79.0844
   77.9333
   76.7870
   75.6455
   74.5086
   73.3763
   72.2487
   71.1257
   70.0073
   68.8934
   67.7841
   66.6792
   65.5788
   64.4829
   63.3914
   62.3044
   61.2217
   60.1433
   59.0693
   57.9996
   56.9341
   55.8730
   54.8160
   53.7633
   52.7147
   51.6703
   50.6301
   49.5940
   48.5619
   47.5340
   46.5100
   45.4902
   44.4743
   43.4623
   42.4544
   41.4504
   40.4503
   39.4540
   38.4617
   37.4732
   36.4885
   35.5076
   34.5305
   33.5572
   32.5876
   31.6217
   30.6595
   29.7010
   28.7461
   27.7949
   26.8473
   25.9033
   24.9628
   24.0259
   23.0926
   22.1627
   21.2363
   20.3134
   19.3940
   18.4780
   17.5654
   16.6562
   15.7503
   14.8478
   13.9487
   13.0528
   12.1603
   11.2710
   10.3850
    9.5022
    8.6226
    7.7463
    6.8731
    6.0031
    5.1362
    4.2725
    3.4118
    2.5543
    1.6998
    0.8484


Prepayment =

   66.8676
   83.5494
  100.2000
  116.8108
  133.3731
  149.8785
  166.3183
  182.6840
  198.9672
  215.1593
  231.2520
  247.2369
  263.1058
  278.8505
  294.4628
  309.9347
  325.2583
  340.4258
  355.4294
  370.2615
  384.9145
  399.3813
  413.6545
  427.7270
  441.5919
  455.2424
  468.6720
  465.8799
  463.1015
  460.3369
  457.5858
  454.8483
  452.1242
  449.4136
  446.7162
  444.0322
  441.3613
  438.7035
  436.0588
  433.4271
  430.8083
  428.2023
  425.6091
  423.0286
  420.4608
  417.9056
  415.3628
  412.8326
  410.3147
  407.8091
  405.3158
  402.8347
  400.3657
  397.9088
  395.4638
  393.0308
  390.6097
  388.2004
  385.8029
  383.4171
  381.0428
  378.6802
  376.3291
  373.9894
  371.6611
  369.3441
  367.0384
  364.7439
  362.4606
  360.1883
  357.9271
  355.6769
  353.4376
  351.2091
  348.9915
  346.7846
  344.5884
  342.4029
  340.2279
  338.0634
  335.9095
  333.7659
  331.6327
  329.5098
  327.3972
  325.2947
  323.2024
  321.1202
  319.0481
  316.9859
  314.9337
  312.8913
  310.8588
  308.8361
  306.8230
  304.8197
  302.8260
  300.8418
  298.8672
  296.9021
  294.9464
  293.0000
  291.0630
  289.1353
  287.2168
  285.3074
  283.4072
  281.5161
  279.6340
  277.7609
  275.8968
  274.0415
  272.1951
  270.3575
  268.5286
  266.7085
  264.8970
  263.0941
  261.2998
  259.5140
  257.7367
  255.9679
  254.2074
  252.4553
  250.7115
  248.9759
  247.2485
  245.5294
  243.8183
  242.1154
  240.4204
  238.7335
  237.0546
  235.3835
  233.7204
  232.0650
  230.4175
  228.7777
  227.1456
  225.5212
  223.9044
  222.2952
  220.6935
  219.0994
  217.5127
  215.9334
  214.3616
  212.7971
  211.2399
  209.6899
  208.1472
  206.6117
  205.0834
  203.5621
  202.0480
  200.5409
  199.0408
  197.5476
  196.0614
  194.5821
  193.1097
  191.6441
  190.1852
  188.7331
  187.2877
  185.8490
  184.4170
  182.9915
  181.5726
  180.1603
  178.7544
  177.3551
  175.9621
  174.5756
  173.1954
  171.8215
  170.4540
  169.0927
  167.7376
  166.3887
  165.0460
  163.7094
  162.3789
  161.0545
  159.7361
  158.4238
  157.1173
  155.8169
  154.5223
  153.2336
  151.9507
  150.6736
  149.4024
  148.1368
  146.8770
  145.6229
  144.3744
  143.1316
  141.8943
  140.6626
  139.4365
  138.2158
  137.0007
  135.7910
  134.5866
  133.3877
  132.1942
  131.0059
  129.8230
  128.6453
  127.4729
  126.3057
  125.1437
  123.9869
  122.8352
  121.6886
  120.5470
  119.4105
  118.2791
  117.1526
  116.0311
  114.9145
  113.8029
  112.6961
  111.5942
  110.4972
  109.4049
  108.3175
  107.2347
  106.1568
  105.0835
  104.0149
  102.9509
  101.8916
  100.8369
   99.7868
   98.7412
   97.7002
   96.6636
   95.6316
   94.6040
   93.5808
   92.5620
   91.5476
   90.5376
   89.5319
   88.5306
   87.5335
   86.5407
   85.5521
   84.5677
   83.5875
   82.6115
   81.6397
   80.6720
   79.7084
   78.7488
   77.7934
   76.8419
   75.8945
   74.9511
   74.0116
   73.0761
   72.1445
   71.2169
   70.2931
   69.3731
   68.4571
   67.5448
   66.6363
   65.7316
   64.8307
   63.9335
   63.0400
   62.1503
   61.2642
   60.3817
   59.5029
   58.6277
   57.7561
   56.8881
   56.0236
   55.1626
   54.3052
   53.4513
   52.6008
   51.7538
   50.9103
   50.0701
   49.2334
   48.4000
   47.5700
   46.7434
   45.9200
   45.1000
   44.2833
   43.4698
   42.6596
   41.8526
   41.0488
   40.2482
   39.4508
   38.6566
   37.8655
   37.0775
   36.2927
   35.5109
   34.7322
   33.9566
   33.1839
   32.4144
   31.6478
   30.8842
   30.1236
   29.3659
   28.6112
   27.8593
   27.1104
   26.3644
   25.6213
   24.8810
   24.1435
   23.4089
   22.6770
   21.9480
   21.2217
   20.4982
   19.7774
   19.0594
   18.3440
   17.6314
   16.9215
   16.2142
   15.5095
   14.8075
   14.1081
   13.4113
   12.7171
   12.0255
   11.3365
   10.6499
    9.9660
    9.2845
    8.6055
    7.9290
    7.2550
    6.5835
    5.9144
    5.2477
    4.5834
    3.9215
    3.2621
    2.6050
    1.9502
    1.2978
    0.6477
    0.0000

See Also

Was this topic helpful?