Actuarial Notes

SOA Exam FM Sample Question 438

Study guide: Exam FM-2

The full price of orthodontic treatment is X. The patient must pay at least a portion of the balance by Day 15 (fifteen days following the beginning of the work). The two payment options are:

  • i) Pay the full balance, less a 2.5% discount, on Day 15.
  • ii) Pay 250 on Day 15 and the remaining balance, without interest, on Day 60.

Assume a 365-day year.

The implied effective annual yield rate the patient is charged for delaying full payment from Day 15 to Day 60 is 24.2%.

Calculate X.

  • A) 697
  • B) 875
  • C) 1675
  • D) 3295
  • E) 4827

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