
Explanation:
A Treasury bill quoted at 7.00 is interpreted as a discount rate of 7.00% on a 360-day basis.
Compute the bill price:
Convert this to a continuously compounded return over 72 days, annualized on an actual/365 basis:
So the continuously compounded return is approximately 7.14737% per annum.
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Question 719.2. The price of a 72-day Treasury bill is quoted as 7.00. Which is nearest to the continuously compounded return (on an actual/365 basis) that an investor will earn on the Treasury bill for the 72-day period? (note: inspired by Hull's EOC Problem 6.8)
A
1.40000% per annum with continuous compounding
B
5.60000% per annum with continuous compounding
C
5.71790% per annum with continuous compounding
D
7.14737% per annum with continuous compounding