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Unformatted text preview: P ) c 2 e rt P = c 2 e rtPc 2 e rt P + Pc 2 e rt = c 2 e rt P (1 + c 2 e rt ) = c 2 e rt giving us: P = c 2 e rt 1 + c 2 e rt and, dividing top and bottom by c 2 e rt , and simplifying, we have: P = 1 1 + cert 5 This function just gives us the classic logistic/sigmoid curve: and changes in c and r make minor changes in the behavior near 0 . . . The diﬀerence between the behavior of the discrete and continuous logistic functions can give us some idea of the signiﬁcance of working in the discrete regime . . . To top ← 6...
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This note was uploaded on 01/02/2012 for the course FINANCE 347 taught by Professor Bayou during the Fall '11 term at NYU.
 Fall '11
 Bayou
 Finance, Interest

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