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You observe a US Treasury bond (face value of $1000) paying a 6% coupon that matures in 1.5 years, priced at $1034.52. You have calculated

You observe a US Treasury bond (face value of $1000) paying a 6% coupon that matures in 1.5 years, priced at $1034.52. You have calculated zero-coupon continuously compounded rates of 3.0% for a six-month horizon, and 3.0% for a 12-month horizon. What is the 1.5-year zero coupon rate implied by these prices?

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