Actuarial Notes

SOA Exam FM Sample Question 412

Study guide: Exam FM-2

A two-year annuity-immediate with level annual payments has a Macaulay duration of D using a force of interest of \delta.

Determine D.

  • A) \dfrac{1+2e^{-\delta}}{1+e^{-\delta}}
  • B) \dfrac{1+2e^{-2\delta}}{1+e^{-\delta}}
  • C) \dfrac{1+e^{-2\delta}}{1+e^{-\delta}}
  • D) \dfrac{1+e^{-\delta}}{1+e^{-2\delta}}
  • E) \dfrac{1+2e^{-\delta}}{1+e^{-2\delta}}

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