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Mathematics of Finance

Cover Mathematics of Finance
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Given $0.50 per month payments on a share of $100 in a building and loan association. If the returns to the investor give an effective rate of 7 per cent convertible annually, when will the stock mature?
146 BUILDING AND LOAN ASSOCIATIONS 80. The effective rate of interest on money invested in instalment shares. Given the time n in which monthly in- stalments of M per month invested in a building and loan associ- aition accumulate to the face F, it is required to find the effective rate of inte
...rest i which this yields the investor. This is simply an illustration of the rate earned on an annuity. (See Art. 36.) As indicated in Art. 79, the stock may mature at the time of a monthly payment, or at a time between monthly pay- ments. If it matures at the time of a monthly pajnnent, we have M{l + iT + M{l + i)"-A + M (1 + t)»-A -f. . . .
+ M{l + i)-^-\rfM = F, (18) where 0^/

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