Actuarial Notes

CAS Exam 9 Spring 2018, Question 8

Study guide: Exam 9

Given the following pure yield curve of zero-coupon Treasuries:

Maturity (Years) Yield to Maturity
1 7%
2 8%

Consider a newly issued two-year bond that has face value of $1,000 and pays coupons annually of $90 at the end of the year.

Part a (0.5 points)

Calculate the issue price of the two-year bond using the pure yield curve given above.

Part b (0.25 points)

Calculate the forward rate for the second year.

Part c (0.5 points)

Assume the expectations hypothesis is valid. Calculate the expected price of the two-year bond at the beginning of the second year.

Part d (0.75 points)

Assume the liquidity preference theory is valid and the liquidity premium is 3%. Calculate the expected price of the two-year bond at the beginning of the second year.

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