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Maximum entropy distribution of stock price fluctuations
Maximum entropy distribution stock price fluctuations
2011/7/4
The principle of absence of arbitrage opportunities allows obtaining the distribution of
stock price fluctuations by maximizing its information entropy. This leads to a physical
description of the u...
Optimal Portfolio Diversification Using Maximum Entropy Principle
Diversification Entropy measure Portfolio selection Shrinkage rule Simulation methods
2011/4/2
Markowitz’s mean-variance (MV) efficient portfolio selection is one of the most widely used approaches in solving portfolio diversification problem. However, contrary to the notion of diversification,...
Maximum Entropy Distributions Inferred from Option Portfolios on an Asset
Entropy Information Theory I-Divergence Asset Distribution Option Pricing Volatility Smile
2010/10/29
We obtain the Maximum Entropy distribution for an asset from call and digital option prices. A
rigorous mathematical proof of its existence and exponential form is given, which can also be applied to...