Читать книгу Fundamentals of Financial Instruments - Sunil K. Parameswaran - Страница 87

CONTINUOUS COMPOUNDING

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We know that if a dollar is invested for N periods at a quoted rate of r% per period and if interest is compounded m times per period, then the terminal value is given by the expression


In the limit as


where e = 2.71828. Known as the Euler number or Napier's constant, e is defined by the expression:


This limiting case is referred to as continuous compounding. If r is the nominal annual rate, then the effective annual rate with continuous compounding is er − 1.

Fundamentals of Financial Instruments

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