Title: A new method for valuing of annuities upon lives, and leaseholds, or leasehold estates; also, church and college leases considered. Shewing at Sight as Follows: I. How many Years, Months, &c. Purchase an Annuity upon Life, for any Age, from 30 to 73 Years, is worth, when Money yields 4, 5, 6, 7, or 8 per Cent. Interest. II. How much a Year 100l. is worth upon Life for any of the abovesaid ages. III. How many Years an Annuitant must live to receive the value of the Money sunk. IV. The Value of the Buyers and Sellers Chances. V. The present Value of any Annuity upon Life, from 1000l. a Year, to one Pound a Year, for any Age from 30 to 73 Years, when Money is worth 4, 5, 6, 7, or 8 per Cent. VI. How many Years, Months, &c. Purchase, Leaseholds are worth for any certain Number of Years under 100, at 3, 4, 5, 6, 7, 8, 9, and 10 per Cent. per Annum. Vii. The Annuity that 100l. is worth, if laid out upon Leaseholds; very useful for valuing of Buildings and Pines. Viii. The Increase of 100l. at 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 per Cent. per Annum. IX. The Decrease of 100l. at 4, 5, 6, and 7 per Cent. per Annum; very useful for valuing of Pines, payable at certain Terms of Years in Lease. X. The Amount of 100l. a Year, if the Payment is forborn for any Number of Years, under 31, at 5, and 6 per Cent. very useful in settling of Accounts between Executors and Orphans. With many useful Examples and Instructions for valuing of single Lives, two or more Lives; Lives taken in with other Lives; Reversion of Lives; Annuities in Expectation; Estates for any certain Term of Years, as Freeholds, Leaseholds, without any Decimals. By Richard Hayes.