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Does the yield curve only assume semiannual interest payment from 2-years out (i.e., since that is the shortest maturity coupon Treasury issue)?

April 26, 2017assume curve maturity payment semiannual shortest yield

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Does the yield curve only assume semiannual interest payment from 2-years out (i.e., since that is the shortest maturity coupon Treasury issue)?

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No. All yields on the yield curve are on a bond-equivalent basis. Therefore the yields at any point on the yield curve are consistent with a semiannual coupon security with that amount of time remaining to maturity.