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3J per cent Annual Premium ANNUM AOES assurance of 100 blank slip Carlisle basis colog column Mx commencing COMMUTATION TABLES D,y N D,y N,y Decimal decreasing denote Diff erence Difference of Age Diffi divisor Endowment equal erence of Age errors ESQUIRE EXCEEDING 105 formed formula Future Premiums given age given number Increasing Assur insure irence JOINT ANNUITIES Joint Assurance Joint Lives Jones LOGARITHMS OF COMMUTATION method multiply N,y AGES natural numbers number of instances numerator and denominator obtained placed predecease premiums paid present value rate of interest rence Required the Annual Required the present Required the value return of premium SINGLE LIVES Single Payment slip marked srence subtract succeeding lives sum assured Survivorship Assurances Table XXXIV TABLES FOR JOINT TABLES FOR SINGLE trence Value of Annuities value required values of policies
Page 16 - ... 3 per cent. ? 4£ per cent. ? 5 per cent. ? 6 per cent. ? 7 per cent. ? 7£ per cent. ? 8 per cent.?
Page lv - ... 03056785 is the premium for the assurance on the joint lives, and agrees both with the above result and with Mr. Milne. But Mr. Milne, instead of -01672251, has (p. 361) •015714, differing materially from the truth. The reason is, as those who are used to the common method are well aware, that the old tables of annuities, calculated to three decimal places, are not sufficiently exact for survivorship questions, the results of...
Page 43 - What is the interest of $ 81, for 2 years 14 days, at ^ per cent. ? £• per cent. ? £ per cent. ? 2 per cent. ? 3 per cent. ? 4£ per cent. ? 5 per cent. ? 6 per cent. ? 7 per cent. ? 7£ per cent. ? 8 per cent.?
Page xiii - 2 - 2702 = £ ™ 5s 5d, as required. Similarly, if it were required to find the value of an annuity of £l on the life of a child aged one year, we should, as before, refer to the Table of Mortality, and conceive the life proposed to be one of 8650 children all of the same age and prospect of longevity, and upon whose lives similar annuities are made payable. This assumption being made, it is manifest...
Page liv - A copyhold estate is held on three lives aged respectively 61, 50, and 45, each renewable at the end of the year in which it drops by a life of 7 years of age on payment of a fine of £5. Give an expression for the present value of all the fines for ever.
Page xiv - Whence it follows that the value of an annuity on the life of a child just born...
Page 16 - Table at the end of the present work has been formed, which shows the amount of an annuity of £1 per annum at the end of any number of years not exceeding...