Compound Interest
Interest calculated on both the initial principal and the accumulated interest from previous periods. Creates an exponential rather than linear growth curve.
Systems Engineering Analogy
A recursive feedback loop where the output of cycle N becomes the input of cycle N+1: Balance(t+1) = Balance(t) * (1 + r).
Mathematical SpecificationDeterministic
A = P(1 + r/n)^(nt)Variables:
P:Initial principal balance (starting capital)
r:Annual nominal interest or growth rate (as decimal)
n:Compounding frequency per year (e.g., 12 for monthly, 1 for annual)
t:Time investment compounds in years
A:Terminal accumulated amount after compounding
Featured in: Book 01: The Money Loop
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