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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1825 Excerpt: ... of a certain debt. The considerations are here precisely the reverse of what they were in the preceding case. We must, in the same manner, resort to the Table (pages 23d and 25th) corresponding with a double rate of interest, or that of 4 per cent per annum; and there look for the series of results relative to half-yearly instalments, in the column entitled Annuity for Cumulation. If the period assigned for the redemption should be 21 years, we find 00765553 the required proportion referable to 21 half-yearly instalments, or to a period of 10 years; and if the assignment should be 72 years, we also find the proportion 00119896 relative to a period of 36 years, by half yearly instalments. But as those proportions refer alike, not to unity, but to the quantity 2 as the future capital (because of the case converse from the above), we must reduce them to one-half; whence 003827765 will be the proportion of the annual redemption-fund for producing any required capital at the expiration of 21 years, and 00059948 will be the proportion of that annual fund for creating any capital at the expiration of 72 years. Let that capital be supposed £ 100,000; the annual redemption-fund will then be, either £3827. 15s. 3d. during 21 years, or £599. 9s. 7d. during 72 years. Supposing again that the annual rate of 2 per cent were understood by half-yearly instalments, we should refer in that case to the column of results corresponding with quarterly instalments at 4£ per cent per annum; and proceeding as above, the specific results would respectively be found £3803. Os. Id. and £593. 8s. Fifthly: Supposing the interest at 2 per cent per annum, in a single payment; be it required the value of an annuity for any specific term, and also to accrue by...
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