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BY an account, annexed to the Report from the Select Committee of the House of Commons, appointed to examine and state the Public Income and Expenditure, it appears, that the Annuities for long terms of years, and the times when they will respectively fall in, are as follows.

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Explanation of the Manner in which the Table in the Appendix No. III. is formed.

By APPENDIX No. I. it appears, that an annuity of 25,351 pounds, odd fhillings, (including the expences of management) will fall in, on the 5th day of April 1787. Confequently, on the 5th day of April 1788, there will be 25,3511. to be added to the 1,000,000l. annual furplus, which has been promised by Mr. Pitt; the faid two fums, making together the fum of 1,025,351 1. will be found, in the third column of the faid TABLE, APPENDIX No. III; oppofite to the year 1788.-This is the manner in which the feveral fums contained in the faid third column are made out.

It also appears, by APPENDIX No. I. that an annuity of 6,515 pounds, odd fhillings, will fall in, on the 10th day of October 1790: therefore, on the 5th day of April 1791, one half-yearly payment of the faid annuity will accrue to the public, that is to fay, 3,257 pounds, odd fhillings, which fum will be found in the fourth column of the faid TABLE, APPENDIX No. III; oppofite to the year 1791. This is the manner in which the four fums contained in the faid fourth column are made out.

APPEN

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APPENDIX

No. IV.

Explanation of the Manner in which the Table is formed, that is contained in the Appendix No. V, and in the following ones, No. VI, No. VII, No. VIII, No. IX, No. X, No. XI, No. XII, and No. XIII.

THE 1,000,000l. annual furplus is fet down in the 5th column, oppofite the year 1787; the faid 1,000,000l. is fuppofed to be paid on the fifth day of April of the said year, 1787.

In the 6th column the intereft on the faid 1,000,000l. is calculated, viz. 40,000l. (at 4 per cent.)

In the 3d column the faid 40,000l. is brought down oppofite to the year 1788.

In the faid 3d column, oppofite to the faid year 1788, will be found the fum of 1,025,3511. which is brought from the 3d column of the Table in the Appendix No. III. oppofite to the faid year 1788.

The faid two fums of 1,025,3511. and of 40,000l. making together 1,065,3511. will be found in the fourth column, oppofite to the said year 1788. The fum of 1,000,000l. in the 5th column, oppofite to the year 1787, being added to the faid fum of 1,065,351, making together the fum of 2,065,351, will be found in the 5th column, oppofite to the year 1788, and will denote the total debt difcharged up to and on the 5th day of April 1788, the fum of 82,6141. in the laft column, is the intereft of the faid fum of 2,065,3511. calculated at 4 per cent.

By performing a fimilar operation, all the fums are found, which are fet down in this and in the following Tables, down to the Appendix No. XIII. inclufive.

In the 6th column of the Table contained in the Appendix No. IX. the interest upon the 5 per cents redeemed is only calculated at 4 per cent. it being fuppofed that new books may have been opened at the Bank to reduce the 5 per cents to 4 per cents, as explained in the foregoing obfervations.

In like manner, and for a fimilar reason, the interest upon the 5 per cents, and also upon the prefent 4 per cents, is in the 6th column of the Table in the Appendix No. X. calculated only at 3 per cent.

The reason why the intereft on the present 3 per cents redeemed, is in the 6th column of the Tables in Appendix No. XI, No. XII, and No. XIII, calculated at 3 and one third per cent. is, because the prefent 3 per cents are fuppofed to be redeemed at 90 on an average. See § 17 of the foregoing obfervations.

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APPEN.

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TABLE OF COMPOUND INTEREST,

Shewing the Amount, in Seventeen Years, of 1,000,000l. annual Surplus, together with fuch Annuities for long Terms of Years, as fhall fall in, within that Period.

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(a) Is the original million annual furplus, together with fuch annuities for long terms of years as fhall fall in.- See Appendix, No III. Column 3d.

(b) Is the fractional part of fuch annuities for long terms as fall in between one month of April and the April following.See Appendix, No. III. Column 4th.

(c) Is the intereft at 4 per cent. of the total debt redeemed in all the preceding years. Ditto brought forwards from the 6th column of this table.

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