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Assertion: \( (A/P, i, n) \) equals \( (A/F, i, n) \) plus \( i \). Reason: recovering capital means replacing it and paying interest on it.

  • A.both the assertion and the reason are true but the reason does not explain the assertion
  • B.the assertion is true but the reason given for it is false
  • C.the assertion is false although the reason offered is a true statement in itself
  • D.both the assertion and the reason are true and the reason explains the assertion

Answer: D

The sinking fund part accumulates the capital back and the interest term services it in the meantime, so the two together are exactly what recovery requires. The identity is the quickest way to get one factor from the other.

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