TY - JOUR
TI - On the probability flow in the Stock market I: The Black-Scholes case
AU - Arraut, Ivan
AU - Au, Alan
AU - Tse, Alan Ching-biu
AU - Marques, Joao Alexandre Lobo
T2 - arXiv.org
AB - It is known that the probability is not a conserved quantity in the stock market, given the fact that it corresponds to an open system. In this paper we analyze the flow of probability in this system by expressing the ideal Black-Scholes equation in the Hamiltonian form. We then analyze how the non-conservation of probability affects the stability of the prices of the Stocks. Finally, we find the conditions under which the probability might be conserved in the market, challenging in this way the non-Hermitian nature of the Black-Scholes Hamiltonian.
DA - 2020///
PY - 2020
DP - ProQuest
VL - 1
SP - 1
EP - 10
LA - English
ST - On the probability flow in the Stock market I
UR - https://search.proquest.com/docview/2332255379?pq-origsite=primo
Y2 - 2021/02/03/07:58:09
KW - General Finance
ER -