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A perpetuity is a uniform series that continues

  • A.for as long as the interest rate stays constant
  • B.indefinitely
  • C.for exactly one hundred periods
  • D.until the principal is exhausted

Answer: B

Correct answer: indefinitely

A perpetuity continues without end, and its present worth converges because later payments are discounted so heavily that the series has a finite sum: \( P = A/i \). It is the model for anything treated as permanent - an endowment, a bridge maintained for ever - and the simplicity of the formula is why the idealisation is used.

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