Text-Book of the Principles of Interest, Life Annuities, and Assurances; Interest (Including Annuities-Certain), by Ralph Todhunter. (New Ed.).- Vol 2. Life Contingencies (Including Life Annuities and Assurances), by George King. (Ed. 2)
Text-Book of the Principles of Interest, Life Annuities, and Assurances; Interest (Including Annuities-Certain), by Ralph Todhunter. (New Ed.).- Vol 2. Life Contingencies (Including Life Annuities and Assurances), by George King. (Ed. 2)
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. 1901 Excerpt: ... the sum actually applied to payment of interest irrespective of the actual dates of payment. Hence, if n be the number of years within which the loan will be entirely redeemed, G=(g+z)C. a$ at rate g, log (.? + -)--logs whence -= y-.--r-2--lg (1+30 and the amounts of principal drawn for repayment at the end of the 1st ...
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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. 1901 Excerpt: ... the sum actually applied to payment of interest irrespective of the actual dates of payment. Hence, if n be the number of years within which the loan will be entirely redeemed, G=(g+z)C. a$ at rate g, log (.? + -)--logs whence -= y-.--r-2--lg (1+30 and the amounts of principal drawn for repayment at the end of the 1st, 2nd, 3rd, years, &c, will be zC, -C(1+), 2C(l+y)2 fcc. It follows, therefore, that the total amount repaid in the first (r--1) years will be zC. -73T calculated at rate g, and that the amount outstanding at the beginning of the rth year will be C(l--zsTi). Consequently, from the point of view of the investor, the security consists of an annuity, payable annually for n years, of which the rth payment is (g+z)C+ ( l+5-l)(l--=I), or, in other words, an ordinary annuity of (g + z)C per annum and a relatively small decreasing annuity of which the rth payment is-(-/l+i--1)(1--zsr-i), where si is calculated at rate g. In theory, both annuities should be valued at rate i, but it will make very little difference for practical purposes if the latter be valued at rate g. Hence, approximately, the required value of the total loan = (y + z)Cafj + 2? (vTrl-l)-?.")" =(y+)c4+f (vTO-i)-.)'. (23) The Chinese Gold Loan of 1896 bears interest at 5 per-cent payable half-yearly, and is redeemable by annual drawings spread over 36 years. In this ease -=--at 5 per-cent= 0104345 sa _ S6v-am =12-845 -bi----55--Hence the value of the loan per-cent at date of issue, to pay 5 per-cent effective, would have been 93-891+-871, or 94-762. It will be observed that in the above example the value of the loan has been found as at the date of issue, but precisely the same method will be applicable...
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
All Editions of Text-Book of the Principles of Interest, Life Annuities, and Assurances; Interest (Including Annuities-Certain), by Ralph Todhunter. (New Ed.).- Vol 2. Life Contingencies (Including Life Annuities and Assurances), by George King. (Ed. 2)
