Does the “Invoice price” = the dirty price of a bond = the bond’s market price?
Yes, the “Invoice Price” is another name for the “Dirty Price” or the “Full Price”.
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Is the “Issue price” the same as the Invoice price etc.?
Presumably, the bonds have no accrued interest when they’re issued.
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Hence, with no presumed accrued interest, the Issue price is the Invoice price. Well that makes sense.