Question
A U.S. Treasury bond that has exactly 18 months remaining to maturity has a 5% coupon rate, and it pays coupons semiannually. The bond is
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A U.S. Treasury bond that has exactly 18 months remaining to maturity has a 5% coupon rate, and it pays coupons semiannually. The bond is currently selling to yield 5%. The face value of the Treasury bond is $1,000.
Three U.S. Treasury STRIPS with maturities of 6 months, one year, and eighteen months are currently selling at the following yields (yields are annualized, but are based on semiannual compounding):
Strip Maturity Strip Yield
6 months 4%
12 months 5%
18 months 6%
You want to duplicate the cash flows from the 5% coupon Treasury bond, using STRIPS. Which of the following statements is the least accurate?
a. The current price of 18-month STRIP per $1 face value is $0.915.
b. The face value amount of the 18-month STRIP you need to purchase is $1,000.
c. The face value amount of the 6-month STRIP you need to purchase is $50.
d. The price you pay to replicate the coupon in 12 months is $47.59.
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