I'm not familiar with high-frequency literature, but you can rarely measure something with 100% accuracy. Despite this, your house got built even if its measure

I'm not familiar with high-frequency literature, but you can rarely measure something with 100% accuracy. Despite this, your house got built even if its measurements were taken with a +-0.5cm error. So if the noise is sufficiently small, you can know the true price with enough precision. I don't know if that is the case though.