
Explanation:
The futures quote of 96.00 implies a 3-month Eurodollar rate of 4.00%.
To extend the zero curve from 300 days to 390 days, we combine:
A 4.00% quarterly-compounded rate over 90 days implies a growth factor of:
So:
Taking logs:
So the correct answer is B. 3.239%.
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Q-173.1. The 300-day LIBOR zero rate is 3.0% per annum with ACT/365 continuous compounding. The Eurodollar futures quote for a contract maturing in 300 days is 96.00; as usual, the Eurodollar interest rate is expressed with ACT/360 quarterly compounding. What is the 390-day LIBOR zero rate with ACT/365 continuous compounding (i.e., as we are extending the LIBOR zero curve)? Please assume that the convexity adjustment is effectively zero here, due to the short maturities involved; i.e., assume the forward rate is equal to the futures rate.
A
3.006%
B
3.239%
C
3.867%
D
4.035%