Actuarial Notes

CAS Exam 9 Spring 2017, Question 11

Study guide: Exam 9

An insurance company must make the following payments:

Payment Amount Payment Timing
$1 million t=1
$2 million t=3
$3 million t=5
  • The company wants to fully fund and immunize its obligation by issuing a zero-coupon bond at t=0.
  • The yield curve is flat at 8%.

Part a (1 point)

Calculate the maturity of the zero-coupon bond.

Part b (0.5 points)

Immediately after issuing the bond, the entire yield curve shifts to 10%. Calculate the revised value of the zero-coupon bond.

No current syllabus covers this question; it is kept for the record.

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