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yield and spot rate

Hi does anyone know why the price of a treasury securities is different when we compute it with a yield to maturity and a spot rate curve cconstructed from that yield curve same yield curve?

does that really come under "general discussion"?

A. no
B. why not
C. perhaps

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It should be the same. That's what the arbitrage-free value is.

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Yeah after the arbitrage the price is the same but we need arbitrage. The think i don t understand is whay mathematicaly it gives a different price since the spot rate curve comes from the yield curve. It s strange for me and a kind of counter intuitive

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