Tuesday, March 14, 2017

black scholes - Stop-loss start-gain paradox: Why is it a 'paradox'?


The Stop-Loss Start-Gain Paradox and Option Valuation: A New Decomposition into Intrinsic and Time Value, by Peter P. Carr and Robert A. Jarrow, in The Review of Financial Studies, Volume 3, Issue 3, 1 July 1990, Pages 469–492


http://engineering.nyu.edu/files/slsg.pdf


In this article a paradox is explained, and I don't quite understand why this is a paradox. I do understand the trading strategy concept, but in order for the strategy to be a 'paradox' at some point we need to assume that the strategy is self-financing. But what indicates that?


In other words: Why does the strategy seem to contradict the usual Black-Scholes replication and pricing?





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