Actuarial Notes

SOA Exam FM Sample Question 328

Study guide: Exam FM-2

A customer has the option to either buy a car for cash for 15,000 or lease it with a down payment of 1000 and monthly payments of X payable at the end of each month for three years.

Under the purchase option, the car has a value to the customer of 8000 at the end of three years. At the end of the three-year lease, the car is returned and has no value to the customer.

The customer is indifferent to the options at an annual nominal interest rate of 12% convertible monthly.

Calculate X.

  • A) 259
  • B) 269
  • C) 279
  • D) 289
  • E) 299

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