Alexander Hamilton Papers
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# [Enclosure]3

 Qu: 1. In what Time will an Annuity of 8 pay 100. Int: at 6 p %. Ansr. 23.7913 Years or 23 Years 288 Days. Qu: 2. What is the present Value of an Annuity of 8 for 23.7913 Years Int: at 4 p %. Ansr. 121.3342 Qu: 3. What principal Sum will in ten Years amount to 121.3342 Int: at 4 p %. Ansr. 81.96914 Qu: 4. In What Time will a quarterly Payment of 2 pay 100. Int: at 1¼ p % quarterly. Ansr: 23.277875 Years or 23 Years 101 Days Qu: 5. What is the present Value of a quarterly Payment of 2 for 23.277875 Years Quarterly Interest at 1 p % Ansr: 150. Qu: 6. What principal Sum will in ten Years amount to 150 Int: at 4 p % Ansr. 101.3347. Qu: 7. What is the Rate of Interest paid by the Borrowers when a Commission of 4 p % is allowed on a Loan for 20 Years bearing 4 p % Interest. Ansr. 4.2943274

Value of the deferred Debt by Qu: & Ansr. No. 3.

viz

 C C to July 92 86.9609 say \$86.97 to July 94 94.0655 say \$94.07 to Jany. 93 88.6911 88.70 to Jany 95 95.9283 95.93 to July 93 90.4476 90.45 to July 95 97.8281 97.83 to Jany 94 92.2388 92.24 to Jany 96 99.7655 99.77 25 January 1796 100 Redemption of deferred Debt. From July 92 to Jany 93 Value 87.80 Suppose the Price p % 75. Commission on borrowing 75 at 4 p % 3. 78. Remains 9.80 Multiply by 8 78.40

The gain is then at least one eighth of the Money applied to this Operation.

3, Hamilton Papers, Library of Congress.