The use of the TABLE Exem­plified, in the Resolving of several QUESTIONS.

Quest. I. What is a Lease, Annuity, Rent or Pension of 30 l. a Year, and to continue 13 years, worth in ready money, at 6 per cent.

YOu must first find 13. (the number of years to be purchased) in the first Column of the Years, towards the Left-hand (under the word Tabl;) Then look along that Line (towards the Right-hand) till you come under the Fi­gure 30 at the Head of the Table (which is the Annuity per Annum to be purchased) and right against 13, and under 30, you shall find 265 l. 11 s. 3 d. And so much is an Annuity, Lease, Rent or Pension of 30 l. a year, and to conti­nue 13 years, worth in present Money, the Pur­chaser having 6 per Cent. Compound Interest, Profit for his Money laying out.

Quest. II. What Money will Purchase an An­nuity, &c. of 5 l. a Year, and to continue 21 Years, at 6 per Cent. Compound Interest?

LOok for 21 years in the first Column to­wards your Left-hand, and in the same Line towards the Right-hand, under 5, in the Head of the Table, you shall find 58 l. 16 s. 4 d. And so much Money will purchase a Lease or Annuity of 5 l. a year for 21 years, and 6 in the Hundred Interest upon Interest being allowed.

Quest. III. What is a Lease, Annuity, Rent or Pension of 43 l. a Year, and to continue 30 Tears, worth in ready Money?

FOrasmuch as the Number 43 cannot be found in the Head of the Table, you must therefore resolve the Question at two Operati­ons, in this manner:

1. Find 30 in the First Column, and along that Line under 40, you shall find — 550 l. 11 s. — 8 d.

2. Find 30 in the First Column, and against it under 3 in the Head of the Table, you shall find 45 l. — 01 s. — 10 d Which added to the former, makes 595 l. 13 s. 6 d. And so much is a Lease, &c. of 43 l. a year, and to continue 30 years, worth in present Money.

And thus you shall find that an Annuity, Rent or Pensi­on of

• [...]8
• 17
• 22
• 37
• 45
• 58

Pounds a Year, and to continue

• 23
• 17
• 25
• 8
• 11
• 27

Will be worth in present Mo.

Quest. IV. What is a Lease or Annuity, &c. of 146 l. a year, and to continue 50 years, w [...]th in present Money?

BY the Rules above delivered, you may find, by the Table, that

Quest. V. Two Persons M. and S. have either of them a Lease, which, for convenience, they would exchange, — M. his Lease brings him in clear 30 l. a Year, and is in being 21 years; S. his Lease brings in clear 40 l. a year, and he hath 16 years to come: Which Lease is woth most?

BY the Table you may find that M. his Lease of 30 l. a year for 21 years, will be worth but 352 l.— 18 s.— 1 d. And by the Table also you may find that S. his Lease of 40 l. a year for 16 years will be worth —404 l.—04 s.—02 d The difference is—051 l.—06 s.—01 d. And so much is the Lease of S. better than the Lease of M.

Quest. VI. A person having 300 l. lying by him, with which he would willingly purchase an Annuity of 20 l. a year; for how many years will that Money purchase such an Annuity?

YOu must look for 20 (the Annual Annuity) at the Head of the Table, and look down that Column till you find the Sum 300 l. (or the nearest to it) and the number of years (in the first Column) which stand against that Sum, is the number of years that Sum of Money will purchase 20 l. a year for.

Thus if you find 20 in the Head of the Table, and look down that Column, you cannot find just 300 l. but the nearest to it is 300 l. — 12 s. — 4 d. Against which, in the first Column, there stands 40. So that if he add 12 s.— 4 d. more to this 300 l. It will purchase him an Annuity of 20 l. a year for 40 years.

Quest. VII. A Landlord having a Lease of a House which brings him in 127 l. a Year clear; He having a present occasion for a Sum of Money, desires so much of his Tenant as will countervail 7 years Rent, and he will allow him after the Rate of 6 per Cent. Compound Interest for his Money: How much Money may he lend?

BY the Table and the Directions before gi­ven, you may find that a Lease of

And so much may the Tenant lend, and have 6. per Cent. Compound Interest.

Quest. VIII. If a Lease of 30 l. a year, and a 100 l. Fine, is to be let for 21 years, what Fine must be given to bring the Rent down to 10 l. a year?

FIrst, find the Difference between the Rent demanded (Viz. 30 l.) and the Rent de­sired (Viz. 10 l.) which difference is 20 l.— Secondly, Find by the Table what 20 l. a year is worth for 21 years, which you shall find to be 235 l. 5 s. 5 d. to which add 100 l. (the Fine demanded) and the Sum will be 335 l.—5 s.—5 d. And such Fine must be paid to bring the Rent down to 10 l. a year.

Quest. IX. One hath a Lease of a House for 30 years, for the first 10 years he is to pay 15 l. a year, and for the remaining 20 years, he is to pay 20 l. a year: What is this Lease worth in ready Money?

BY the Table you may find that 20 l. a year for 30 years is worth 275 l.—5 s.—10 d. Now (because 5 l. a year is to be abated for the first 10 years) find what 5 l. a year is worth for 10 years, which you will find to be 36 l. 15 s.—11 d. which being substracted from 275 l.—5 s.—10 d. the remainder will be 233 l.—9 s.—11 d. for the present worth of the Lease.

Quest. X. Demand is made for a Lease of a House for 21 years, 10 l. a year, and 335 l.—5 s. — 5 d. Fine, the Tenant is willing to give 100 l. Fine, and an increase of Rent pro­portionably to the Abatement of the Fine: What Rent must Annually be paid?

THe Fine Demanded is 335 l.—5 s.—5 d. and the Fine offered is 100 l. The Differ­ence is 235 l.—5 s.— 5 d. Look in the Table for 21 years (the Term of the Lease) in the first Column toward the Left-hand, then cast your Eye along that Line till you come to find 235 l. — 5 s. — 5 d. (or the nearest Sum to it) which you shall find to stand under 20 l. in the Head of the Table: Which shews, that he must advance 20 l. a year in his Rent, to bring down the Fine demanded (Viz. 335 l. 5 s.— 5 d.) to a 100 l. And so for his Lease of 21 years, he must pay 30 l. a year and a 100 l. Fine.

THe Use of this TABLE is very plain and easie; as by Examples following shall be made appear.

Quest. I. What is a Lease of 20 years of Free­hold Land worth in ready Money, at 5 per C

LOok in the Head of the Table among the Great Figures for 20 (the Number of years to be purchased, and underneath 20, you shall find 12 l.—1 s. —2 d. that is 12 years, 1 quar­ter and 2 Moneths Rent, so that if the Rent were 10 l. a year, the Lease would be worth 10 times 12 l. that is 120 l. and the Quar­ter of the year will be 2 l-10 s.-and the 2 Moneths will be worth 1 l. 13 s. 4 d. all which being added together will make 124 l. 3 s. 4 d. for the worth of the Lease for 20 years at 5 l. in the Hundred.

But if the Purchaser will have 6 l. profit for his Money, then the Purchase will be worth but 11 years 1 quart. & 2½ Moneths. Or if he would make 8 in the 100 profit for his Money, then it will be worth but 9 years, 3 quarters and 2 Moneths purchase.

And farther, If he will have 10 l. in the Hundred profit for his Money laying out, it will be worth but 8 years, a half and 1 1/ [...]; Moneths Rent: And so for any other Number of years.

Quest. II. What is an Annuity of 25 l. a year to continue 31 years, worth in ready Money at 5, 6, 8, and 10 l. in the Hundred.

And thus, the Rent being 25 l. a year,

And these Two Examples are sufficient for the Use of this TABLE.