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Because YTM assume that each cash flow is discounted at the yield. In this scenario YTM is 4% since bond is trading at par

i.e.
=20/1.02+20/1.02^2+1020/1.02^3

But spot rates are different. For 6 month you have 2.8% and for 1 year you have 3.2%. So the spot rate for 1.5 year will be different.

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