Actuarial Notes

CAS Exam 9 Spring 2017, Question 10

Study guide: Exam 9

Given the following:

Bond Par Value Time To Maturity (years) Current Bond Price
1 $100 1 $96.15
2 $100 2 $91.40
3 $100 3 $85.40
  • Assume annual compounding.
  • All bonds are zero-coupon bonds.

Part a (0.75 points)

Calculate the forward rate in year three.

Part b (0.5 points)

An investor wants to borrow $100 two years from now for one year.

Outline a strategy the investor could take to construct a synthetic forward loan and identify all of the investor's cash flows.

Part c (0.75 points)

Using a theory of term structure, explain why an investor would want to construct a synthetic forward loan.

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

Answer this question and see the worked solution

Concepts tested

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