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Sixteen pence in the Pound. OR, A Table ſhewing the pre­ſent worth of one Pound Annuity, for any time under 100 yeares, by yeares, halves, and quarters.

COMPUTED, For the juſt proportioning of the Fines at that rate, according to the preſent worth of every mans reſpe­ctive Intereſt in Houſes built upon New Foundations ſince the 25th. of March, 1620.

By JOHN NEWTON, M. A.

London, Printed 1658.

3

TO THE COURTEOUS READER.

BY an Act of Grace, and not by impoſition of a new taxe, a yeares rent onely, is now re­quired of ſuch as have tranſ­greſſed the Lawes formerly made for preventing of Buil­dings, leaſt any ſhould ſuffer too much by the rigorous execution of thoſe Lawes, and further it is provided that this yeares rent be indifferently proportioned, upon ſeveral per­ſons, according to their reſpective intereſts in ſuch Houſes, where more then one are concern­ed; (for where one onely perſon is concerned, the Fine is quickly ſet, viz. a yeares rent,) but where there are more concerned, though there is ſtill but one yeares rent required; yet how this ſhall be raiſed, is not ſo eaſie to determine, and is therefore to be proportioned upon the ſe­veral perſons concerned therein, according to their reſpective intereſts, in ſuch manner as the4 Commiſſioners appointed, by his Highneſſe, ſhall think fit, for which purpoſe, a certain va­lue of ſuch Houſes muſt be fixt, and therefore that the Head-Land-lord, (by whom the tranſ­greſſion was firſt committed) might pay ſome­what a greater proportion, for his eſtate in re­verſion, then the Under-tenants, that doe derive their intereſts from him, it is determined by his Highneſſe Commiſſioners, that the Fee-ſimple of ſuch Houſes ſhall be valued at 15 yeares pur­chaſe, and the eſtates of the Under-tenants, at 8 li. in the Hundred, or 12 yeares purchaſe, and a half, or as neer that rate, as the condition of their eſtates will allow, without impoſing too great a proportion upon the Head-Land-lord, now by this enſuing Table, theſe fines or parts of rent may be ſo computed, as that all the Under-te­nants ſhall be allowed between 7, and 8, in the Hundred for their purchaſe money, according as their intereſt is, whether for a longer or a ſhor­ter time, nevertheleſs then 7, that ſo the fine may fall ſomewhat more heavily upon the Head-Land-lord, then the Under-tenant, and never more then 8; leaſt the reverſion ſhould fall hea­vier then is intended, for the firſt 20 yeares, the preſent worth is here to be computed at the rate of 8 per Cent. and at the rate of 12 pence leſſe for every fourth year after, that is a leaſe of 24 years is computed at the rate of 7 l. 19.. per Cent. 28 at the rate of 7. 18 s. Cent. and ſo decreaſing 12 pence for every 4 years till you come to 100, for which time the rate is 7 per Cent. per Ann. now how ſuch Fines or parts of rent may be ſo computed by this Table, as that the ſeveral Fines, which are5 proportioned upon him that hath the Fee, and upon his Under-tenants ſhall in the whole make but one years rent, we will explain by example, taking it for granted, that the Reader already knowes, how the parts of a pound may be redu­ced into a Decimal, and the contrary.

1 Queſtion.

There is a Houſe let for 14 l. 10 s. in which A B hath 2. 10 s. for 11 years, C D hath 4 l. for 11 yeares and 6. 10 s. for 24 years after E F hath 8 l. for 35 yeares and the Fee, the queſtion is what every of theſe eſtates is worth in preſent money, and what each mans Fine or proprrtion of rent is, which he muſt pay for his intereſt.

For anſwer to this Queſtion: Firſt, compute the preſent worth of A B in this manner, the number in the Table anſwering to 11 yeares is 7.138963, now then I ſay,

If 1 l. Annuity, for 11 yeares be worth7.138963
 2.5
What is the preſent worth of and multiplying the ſecond and third terms together, the product is which is the preſent worth required.17.8474075

Now becauſe CD hath 4 l. for 11 years & 6.10 s. for 24 years after, I adde his number of years toge­ther, and they make 35, for which time I find the preſent worth of 6.10 s. to be 77.1726085, from6 deducting the preſent worth of 2.10 s. before found, the remainer is the preſent worth of 4 l, for 11 yeares, and of 6.10 for 24 years after.

The preſent worth of 6.10 for 35 yeares is77.17260
The preſent worth of 2.10 for 11 yeares ſubtract17.84740
The remainer is the preſent worth of CD required.59.32520

And to find the preſent worth of EF, who hath 8 l. for 35 years, and the Fee in reverſion, I com­pute the preſent worth of the whole eſtate at 15 years purchaſe, now the whole rent is 14.10, or 14,5, which being multiplied by 15, the Fee-ſim­ple is worth 217.5, from which deducting the preſent worth of 6.10 for 35 yeares 77.17260, which is the preſent worth of the eſtates of AB and CD added together, the remainer is the preſent worth of EF.

The preſent worth of 14.10 in Fee217.50000
The preſent worth of 6: 10 for 35 yeares ſubtract77.17260
The remainer is the preſent worth of EF, who hath 8 l. for 35 years, and the Fee in reverſion of 14.10.140.32740

Now the preſent worth of theſe 3 eſtates ad­ded together, doe make the preſent worth of the whole rent 14.10 at 15 yeares purchaſe.

The preſent worth of AB17.84740
The preſent worth of CD59.32520
The preſent worth of EF140.32740
The preſent worth of the Fee217.50000

Or being reduced into currant Money.

 l.s.d.
The preſent worth of AB171611
The preſent worth of CD590606
The preſent worth of EF1400607
The preſent worth of the Fee2171000

And the preſent worth of each mans eſtate be­ing thus found, the proportional part of the years rent which every man muſt pay for his in­tereſt, is eaſily found alſo; for the Fee being rated at 15 years purchaſe, it is apparent that one pound is the Fine of an eſtate, that is worth 15 pound in preſent money, and hence to diſcover the Fine of one pound, I ſay, if 15 give I, what ſhall 1 l. give? and the anſwer is 1 ſhilling, 4 pence, or the 15 part of a pound, and therefore the Fine of every mans preſent worth, is 16 pence in the pound; but becauſe the Fine, for the part of a pound, is in this manner ſomewhat trou­bleſome, if you divide the preſent worth of an eſtate, by 15, the Quotient ſhall be the Fine re­quired.

Example, The preſent worth of AB 17.84740 being divided by 15, the Quotient is 1.18982 or 1 l. 3 s. 10 d.

And becauſe it is all one to divide by 5 and by 3, or to divide by 15, the Fine will ſomewhat more eaſily be diſcovered by ſuch diviſion,8 it being eaſier to divide by one digit, then by two. Thus dividing 17.84740 firſt by 5, the Quotient is 3.56948, and then dividing this Quo­tient by 3 the ſecond Quotient 1.18982, is the Fine required as before.

And becauſe it is all one to divide a number by 5, or to multiply the ſame number by 2 tenths, therefore if you multiply the preſent worth by 2 tenths, and divide the product by 3, the quotient will be the Fine required.

Example, The preſent worth of AB17.84740
which being multiplyed by 2, is3.56948
And this product divided by 3 gives in the Quotient as before1.18962

So that by either of theſe wayes the Fines or parts of rent may be diſcovered; And thus,

The Fine which AB muſt pay is1.18982
The Fine which CD muſt pay is3.95502
The Fine which EF muſt pay is9.35516
In all14.50000

Or in the parts of currant Money.

The Fine which AB muſt pay is10310
The Fine which CD muſt pay is31901
The Fine which EF muſt pay is80701
In all141000

And in this manner, may all other queſtions of the like nature be reſolved, I ſhall not there­fore trouble thee with any farther Directions, but leave theſe ſuch as they are, to be peruſed and cenſured, as in thine own judgment they ſhall deſerve.

John Newton.
9

A Table ſhewing the preſent worth of 1 l. Annuity, at ſeveral rates be­tween 8 and 7 per Centum, per Annum, Com­pound Intereſt, by years, halves, and quar­ters, for time leſſe then one Hundred years.

 00.238204
 0.471869
 0.701082
10.925926
 1.146486
 1.362842
 1.575076
21.783264
 1.987487
 2.187817
 2.384329
32.577096
 2.766191
 2.951683
 3.133639
43.312126
 3.487214
 3.658965
 3.827443
53.992709
 4.154828
 4.313857
 4.469855
64.622879
 4.772989
 4.920238
 5.064680
75.206369
 5.345359
 5.481702
 5.615445
85.746638
 5.875334
 6.001576
 6.125412
96.246887
 6.366049
 6.482941
 6.597625
106.710080
 6.820416
 6.928649
 7.034818
117.138963
 7.241126
 7.341341
 7.439647
127.536077
 7.630673
 7.723464
 7.814488
137.903775
 7.991363
 8.077281
 8.161562
148.244236
 8.325337
 8.404891
 8.482928
158.559477
 8.634571
 8.708232
 8.780489
168.851368
 8.920899
 8.989104
 9.056009
179.121637
 9.186018
 9.249169
 9.311119
189.371886
 9.431498
 9.489972
 9.547333
199.603598
 9.658794
 9.712937
 9.766048
209.818146
 9.865308
 9.912470
 9.959632
2110.006794
 10.053956
 10.101118
 10.148280
2210.195441
 10.242603
 10.289765
 10.336927
2310.384089
 10.431251
 10.478413
 10.525575
2410.572737
 10.608954
 10.645171
 10.681388
2510.717604
 10.753821
 10.790037
 10.826254
2610.862471
 10.898688
 10.934905
 10.971121
2711.007338
 11.043555
 11.079771
 11.115988
2811.152205
 11.181951
 11.211697
 11.241443
2911.271189
 11.300935
 11.330681
 11.360427
3011.390173
 11.419919
 11.449665
 11.479411
3111.509158
 11.538904
 11.568650
 11.598396
3211.604142
 11.626522
 11.648903
 11.971283
3311.693664
 11.716044
 11.738425
 11.760805
3411.783186
 11.805566
 11.827947
 11.850328
3511.872709
 11.895089
 11.917470
 11.939851
3611.962231
 11.980316
 11.998401
 12,016486
3712.034571
 12.052656
 12.070741
 12.088826
3812,106910
 12.124995
 12.143080
 12.161165
3912.179249
 12: 197334
 12-215419
 12.233504
4012.251589
 12.266515
 12.281440
 12.296366
4112.311292
 12.326217
 12.341143
 12.356069
4212.370994
 12.385920
 12.400846
 12.415771
4312.430696
 12.435622
 12.450548
 12.465474
4412.490399
 12.502999
 12.515599
 12.528199
4512.540799
 12.553399
 12.565999
 12.578599
4612.591299
 12.603799
 12.616399
 12.628999
4712.641599
 12.654199
 12.666799
 12.679399
4812.691999
 12.703415
 12.714831
 12.726248
4912.737664
 12.748551
 12.759437
 12.770324
5012.781211
 12.791833
 12.802454
 12.813077
5112.823699
 12.834321
 12.844944
 12.855565
5212.866187
 12.875812
 12.885438
 12.895064
5312.904690
 12.914316
 12.923941
 12.933567
5412.943193
 12.952818
 12.962444
 12.972069
5512.981695
 12.991321
 13.000946
 13.010572
5613.020198
 13.028897
 13.037596
 13.046295
5713.054994
 13.063693
 13.072392
 13.081091
5813.089790
 13.098872
 13.107955
 13.117038
5913.126124
 13.134436
 13.142741
 13.151056
6013.159381
 13.167403
 13.175424
 13.183446
6113.191467
 13.199489
 13.207510
 13.215532
6213.223554
 13.231575
 13.239597
 13.247618
6313.255640
 13.263661
 13.271683
 13.279705
6413.287726
 13.295256
 13.302785
 13.310315
6513.317845
 13.325375
 13.332904
 13.340434
6613.347964
 13.355494
 13.363023
 13.370553
6713.378083
 13.385613
 13.393142
 13.400672
6813.408202
 13.415379
 13.422556
 13.429733
6913.436910
 13.444087
 13.451264
 13.458441
7013.465618
 13.472795
 13.479972
 13.487149
7113.494326
 13.501503
 13.508680
 13.515857
7213.523034
 13.529963
 13.536892
 13.543822
7313.550751
 13.557680
 13.564609
 13.571539
7413.578468
 13.585398
 13.592327
 13.599256
7513.606185
 13.613114
 13.619043
 13.625972
7613.633902
 13.640662
 13.647423
 13.654183
7713.660944
 13.667765
 13.674465
 13.681225
7813.687985
 13.694745
 13.701506
 13.708266
7913.715027
 13.721788
 13.728548
 13.735309
8013.742069
 13.748721
 13.755373
 13.762025
8113.768676
 13.775327
 13.781979
 13.788631
8213.795282
 13.801934
 13.808586
 13.815238
8313.821889
 13.828541
 13.835192
 13.841843
8413.848495
 13.855084
 13.861673
 13.868263
8513.874852
 13.881441
 13.888030
 13.894620
8613.901208
 13.907797
 13.914386
 13.920976
8713.927565
 13.934154
 13.940743
 13.947333
8813.953922
 13.960484
 13.967046
 13.973608
8913.980170
 13.986732
 13.993294
 13.999856
9014.006418
 14.012980
 14.019542
 14.026104
9114.032667
 14.039229
 14.045791
 14.052353
9214.058915
 14.065467
 14.072019
 14.078571
9314.085123
 14.091675
 14.098227
 14.104779
9414.111331
 14.117883
 14.124435
 14.130987
9514.137540
 14.144092
 14.150644
 14.157196
9614.163748
 14.170342
 14.176936
 14.183530
9714.190124
 14.196718
 14.203312
 14.209906
9814.216500
 14.223094
 14.229688
 14.236282
9914.242876
 14.249470
 14.256064
 14.262658
10014.269252
FINIS.

About this transcription

TextSixteen pence in the pound. Or, A table shewing the present worth of one pound annuity, for any time under 100 yeares, by yeares, halves, and quarters. Computed, for the just proportioning of the fines at that rate, according to the present worth of every mans respective interest in houses built upon new foundations since the 25th. of March, 1620. / By John Newton, M.A.
AuthorNewton, John, 1622-1678..
Extent Approx. 33 KB of XML-encoded text transcribed from 9 1-bit group-IV TIFF page images.
Edition1657
SeriesEarly English books online.
Additional notes

(EEBO-TCP ; phase 2, no. A89668)

Transcribed from: (Early English Books Online ; image set 170147)

Images scanned from microfilm: (Thomason Tracts ; 202:E1602[4])

About the source text

Bibliographic informationSixteen pence in the pound. Or, A table shewing the present worth of one pound annuity, for any time under 100 yeares, by yeares, halves, and quarters. Computed, for the just proportioning of the fines at that rate, according to the present worth of every mans respective interest in houses built upon new foundations since the 25th. of March, 1620. / By John Newton, M.A. Newton, John, 1622-1678.. 16 p. [s.n.],London, :Printed 1658 [i.e. 1657]. (Annotation on Thomason copy: "nouemb:".) (Reproduction of the original in the British Library.)
Languageeng
Classification
  • Money -- Tables -- Early works to 1800.

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ImprintAnn Arbor, MI ; Oxford (UK) : 2011-12 (EEBO-TCP Phase 2).
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  • STC Wing N1070
  • STC Thomason E1602_4
  • STC ESTC R208907
  • EEBO-CITATION 99867824
  • PROQUEST 99867824
  • VID 170147
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