We consider two sequences of Markov chains inducing equivalent measures on the discrete path space. We establish conditions under which these two measures converge weakly to measures induced on the Wiener space by weak solutions of two SDEs, which are unique in the sense of probability law. We...

We analyze the impact of funding costs and margin requirements on prices of index options traded on the CBOE. We propose a model that gives upper and lower bounds for option prices in the absence of arbitrage in an incomplete market with differential borrowing and lending rates. We show that...

Die Preise, zu denen Aktienindexoptionen an den internationalen Terminbörsen gehandelt werden, weichen in der Regel systematisch von den Implikationen des von Black, Scholes und Merton entwickelten Standartmodells der Optionsbewertung ab. Zur Erklärung dieses als "Smile-Effekt" bekannten...

In some papers it have been remarked that derivation of the Black Scholes Equation (BSE) contains mathematical ambiguities. In particular there are two problems which can be raise by accepting Black Scholes (BS) pricing concept. One is technical derivation of the BSE and other the pricing...