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 the [Page 4] 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 are [Page 5] 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,

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, from [Page 6] 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.

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.

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.

Or being reduced into currant Money.

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, [Page 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.

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

Or in the parts of currant Money.

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.