Market Completeness Flashcards
What is Market Completeness
A market is complete if every possible future payoff can be replicated exactly by trading available assets.
In simpler terms:
You can build a portfolio (using stocks, bonds, options, etc.) to mimic any desired future outcome.
If you can’t do this, the market is incomplete.
Why is market completeness important?
In complete markets, there is only one unique way to price risk and assets.
You get a unique stochastic discount factor (SDF) or state price.
In incomplete markets, multiple discount factors can price the same asset — pricing becomes ambiguous.
This matters for:
-Derivatives pricing
-No-arbitrage pricing
-Theoretical foundations like CAPM, APT, and Euler equations
What to watch out for.