Actuarial Notes

CAS Exam 9 Spring 2014, Question 7

Study guide: Exam 9

Given the following information about bonds with coupons paid annually:

Bond Bond Par Value Time to Maturity (in years) Annual Coupon Rate Bond Price
1 $100 1.0 0% $95.12
2 $100 2.0 0% Unknown
3 $100 3.0 0% $78.66
4 $100 3.0 5% $91.72

Company A and Company B enter into a forward rate agreement with the following attributes:

  • Company A will lend money to Company B in two years for a term of one year.
  • The principal amount of this loan is $8,000,000.
  • The annual interest rate for this loan is 12% compounded annually.

Calculate the value of the forward rate agreement to Company B.

Part a (1.75 points)

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Concepts tested

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