Actuarial Notes

CAS Exam 9 Spring 2019, Question 6

Study guide: Exam 9

Given the following $1,000 par value zero-coupon bonds with annual compounding:

Bond Years to Maturity Yield to Maturity Price of Bond
A 1 5.00% $952.38
B 2 6.50% $881.66
C 3 y_C $810.60
D 4 y_D $735.03

Part a (1 point)

Calculate the price of a $1,000 par value bond with 5% annual coupons maturing in four years.

Part b (0.5 points)

Calculate the expected one-year short rate one year from now. Assume the expectations hypothesis is valid.

Part c (0.25 points)

Calculate the expected one-year short rate one year from now. Assume the liquidity preference theory is valid with a constant liquidity premium of 2%.

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Concepts tested

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