Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση

When U, R, and T, are given, to find P.

[blocks in formation]

By Table V. thus, Multiply the Tabular Number for the given Time and Rate, by the Annuity, &c. the Product will be the prefent Worth required.

[The Examples in Theorem 7 and 8, page 213, numbered 17, &c. to`22, fhould have been 21, &c. to 26.]

EXAMPLE S.

27. What is the prefent Worth of an Annuity of 50l. per Annum, to continue 8 Years at 5 per Cent.?

28. What is the prefent Worth of an Annuity dr yearly Rent of 6ol. to continue 6 Years at 4 per Cent.?

29. What is the prefent Worth of a Penfion of 1000l. per Annum, for 21 Years, at 4 per Cent.?

When P, T, and R, are given, to find U.

[merged small][ocr errors]

By Table V. thus, Divide the present Worth by the tabular Number for the given Time and Rate, and the Quotient will be the Annuity required.

Or by Table VI. thus, Multiply the tabular Number (for the given Rate and Time) by the prefent Worth, and the Product will be the Annuity.

30.

EXAMPLE S.

If the present Worth of 3231. 35. 24d. 368 were required for a Penfion of 8 Years to come, at 5 per Cent. what was the Penfion?

31. What Annuity or yearly Rent may be purchased for 3147. 10s. 6d. 08544 at 4 per Cent. for 6 Years? 32. Suppofe the prefent Worth of a Penfion for 21 Years, at 4 per Cent. was 13404%. 145. 51⁄2d. 944, what was the Penfion?

[blocks in formation]

When U, P, and R, are given, to find T.

[blocks in formation]

By Table V. thus, Divide the present Worth by the Annuity, and the Quotient will be the Amount of il. at the given Rate, which will be found under the said Rate, even with the Time required.

[blocks in formation]

33. How long may one have a Lease of 50l. yearly Rent for 3231. 35. 2 d. 361, allowing 5 per Cent. to the Purchafer?

34. If an Annuity of 6ol. is purchased for 3147. 10s. 6d. 08544, at 4 per Cent. what Time ought it to continue? 35. I demand what Time a Leafe of 1000l. may be purchafed for, when the prefent Worth of 13404/. 145. 5 d. is made at 4 per Cent.?

When U, P, and T, are given, to find R.

[merged small][ocr errors][merged small][merged small][ocr errors]

This being a very high Equation, requires the Affistance of Algebra to determine R.

By Table V. proceed as in the laft Rule, and the Quotient will be the Amount of 11. Annuity for the given Time, over which will be the Rate required.

[blocks in formation]

36. If an Annuity of 50l. to continue for 8 Years, be purchafed for 3231. 35. 24d. 368, what Kate of Intereft hath the Purchaser for his Money?

37. Suppose I give 3141. 105. 64d. 08544, for an Annuity of 60l. to continue 6 Years, at what Rate was Intereft allowed?

38. If an Annuity of 1000l. to continue 21 Years be purchafed for 134041. 145. 5 d. 944, what Rate of Inte'reft is the Purchaser allowed for his Money? 64. ANNUITIES,

64. ANNUITIES, LEASES, &c. taken in REVERSION.

To find the prefent Worth of Annuities, &c. in Reverfion.

[merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small]

By Table V. thus, Find the prefent Value of 17. per Annum, at the given Rate, both for the Time being, and also - for that and the Time in Reversion added together, then fubtract the Time in being from the other, and multiply the Remainder by the Annuity, the Product will be the prefent Worth required.

[blocks in formation]

39. What is the prefent Worth of a Reversion of a Leafe of 80l. per Annum, to continue 6 Years, but not to commence till the End of 2 Years, allowing 5 per Cent. to the Purchaser?

40. What ought a Person to give down in ready Money for the Reversion of 1000l. a Year, to continue 20 Years, on a Lease which cannot commence till 5 Years are at an End, allowing the Purchaser 5 per Cent. ?

To find the yearly Income of an Annuity taken in Reverfion.

RULES.

1. Find the Amount of the

prefent Worth at the given

Rate, and for the Time Thus, pr=A.

before the Annuity com

mences, by Theorem 1.

U 2

2. Change

2. Change A into P, and find what yearly Rent, &c. be

ing fold, will produce P at

the fame Rate, and for the Thus, X-prU.

Time of its Continuance,

by Theorem 10.

By Table V. thus, proceed as in the last Rule, and divide the prefent Worth by the Remainder, the Quotient will be the Annuity required.

[blocks in formation]

41. What Annuity, to be entered upon two Years hence, and then continue 6 Years, may be purchased for 3687. 6s. 1d. ready Money, allowing 5 per Cent. to the Purchaser?

42. Suppofe the prefent Worth of a Leafe of an Estate is 8132l. 145. 8d. 064, taken in Reversion for 20 Years, but not to commence till the End of 5 Years, allowing 5 per Cent. to the Purchaser; what is the yearly Rent?

65. REBATE or DISCOUNT.
Here S represents the Sum to be purchased.
When S, T, and R, are given, to find P.

[blocks in formation]

By the 4th Table, thus, Multiply the tabular Number for the given Time and Rate, by the Sum to be purchafed, the Product will be the present Worth?

[blocks in formation]

43. What is the prefent Worth of 150l. payable 4 Years hence, at 5 per Cent.?

44. What is the prefent Worth of 7431. 45. 9d. payable 6 Years hence at 4 per Cent. ?

When P, T, and R, are given, to find S.

THEOREM 14. Xrt=S.

By

By Table IV. thus, Divide the present Worth by the tabular Number for the given Time and Rate, and the Quotient will be the Sum to be purchased.

[ocr errors][merged small][merged small]

45. If 1237. 85. 14d. be received for a Debt payable 4 Years hence, and an Allowance of 5 per Cent. to the Debtor for prefent Payment, what was the Debt?

46. If a Sum of Money due 6 Years hence produce 5871. 75. 9 d. 718, for prefent Payment, Rebate being made at 4 per Cent. I demand how much the Debt was?

When S, P, and R, are given, to find T.

[blocks in formation]

By Table IV. thus, Divide the Principal by the Sum to be purchased, and the Quotient will be the prefent Worth of 17. at the given Rate, which will be found under the Rate, and even with the Time required.

[blocks in formation]

47. A Perfon received 1237. 85. 14d. for a Debt of 150%. Rebate being made at 5 per Cent. I demand in what Time the Debt was payable?

I de

48. The prefent Payment of 5871. 75. 9 d. 718, is made for a Debt of 7431. 45. 9d. Rebate at mand when the Debt was payable ?

4 per Cent.

When S, P, and T, are given, to find R.

[merged small][merged small][ocr errors][merged small][merged small][merged small]

By Table IV. thus, Proceed as in the laft Rule, and the Quotient will be the prefent Worth of 17. for the given Time, which will be found even with the Time, and under the Rate required.

[blocks in formation]

49. The prefent Worth of 150l. payable 4 Years hence, is 123l. 85. 1d. at what Rate per Cent. is the Rebate made at?

[blocks in formation]
« ΠροηγούμενηΣυνέχεια »