Questions tagged [no-arbitrage-theory]
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7
questions
9
votes
2answers
3k views
Arbitrage Free Volatility Smile
When ATM implied volatility is higher than OTM put and call I believe that the volatility smile is no longer arbitrage free? Why is that?
On the other hand, when ATM implied volatility is lower than ...
12
votes
7answers
4k views
What is the fair price of this option?
Without having to use Black-Scholes, how do I price this option using a basic no-arbitrage argument?
Question
Assume zero interest rate and a stock with current price at \$$1$ that pays no dividend. ...
8
votes
1answer
2k views
Arbitragefree Pricing: Q vs. P
I read that the Fundamental Theorem of Asset Pricing states, that a market is arbitrage-free if and only if there exists an equivalent martingale measure Q, under which the discounted asset price ...
3
votes
2answers
609 views
Dumb question: is risk-neutral pricing taking conditional expectation?
Dumb question: is risk-neutral pricing taking conditional expectation? $\tag{1}$
In trying to recall intuition for risk-neutral pricing, I think I read that we should price derivatives risk-neutrally ...
8
votes
1answer
236 views
FTAP a-la Harrison, Kreps and Pliska
I was reading the papers co-authored by Harrison, Kreps and Pliska, that initiated the formal research on the connection between pricing, martingale measures, arbitrage and completeness. I have some ...
1
vote
3answers
2k views
Arbitrage free implies complete market?
In Tomas Björk's Arbitrage Theory in Continuous Time (or here), $\exists$ this proposition
It seems that to show that the model is complete, we must show that the claims are reachable. That is, we ...
5
votes
2answers
746 views
Pricing when arbitrage is possible through Negative Probabilities or something else
Assume that we have a general one-period market model consisting of $d+1$ assets and $N$ states.
Using a replicating portfolio $\phi$, determine $\Pi(0;X)$, the price of a European call option, with ...
