Economy – Quantitative Finance – Pricing of Securities
Scientific paper
2008-03-13
Economy
Quantitative Finance
Pricing of Securities
11 pages. The text has been thoroughly revised and there are new results. This is the 1st part of what comprised the older arx
Scientific paper
A financial market model where agents trade using realistic combinations of buy-and-hold strategies is considered. Minimal assumptions are made on the discounted asset-price process - in particular, the semimartingale property is not assumed. Via a natural market viability assumption, namely, absence of arbitrages of the first kind, we establish that discounted asset-prices have to be semimartingales. In a slightly more specialized case, we extend the previous result in a weakened version of the Fundamental Theorem of Asset Pricing that involves strictly positive supermartingale deflators rather than Equivalent Martingale Measures.
Kardaras Constantinos
Platen Eckhard
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