Statistics Papers

Document Type

Journal Article

Date of this Version

6-2002

Publication Source

IEEE Transactions on Information Theory

Volume

48

Issue

6

Start Page

1372

Last Page

1378

DOI

10.1109/TIT.2002.1003827

Abstract

The author presents a new model for stock price fluctuations based on a concept of "information." In contrast, the usual Black-Scholes-Merton-Samuelson (1965, 1973) model is based on the explicit assumption that information is uniformly held by everyone and plays no role in stock prices. The new model is based on the evident nonuniformity of information in the market and the evident time delay until new information becomes generally known. A second contribution of the paper is to present some problems with explicit solutions which are of value in obtaining insights. Several problems of mathematical interest are compared in order to better understand which optimal stopping problems have explicit solutions

Keywords

information theory, optimisation, stock markets, information nonuniformity, optimal stopping problems, stock price fluctuations model, stock prices, time delay, control theory, cost accounting, delay effects, fluctuations, helium, mathematics, pricing, statistics, stochastic processes, stock markets

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Date Posted: 27 November 2017

This document has been peer reviewed.