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We show, analytically and numerically, that wealth distribution in the Bouchaud-Mezard network model of the economy is described by a three-parameter generalized inverse gamma distribution. In the mea...
The key idea of this model is that firms are the result of an evolutionary process. Based on demand and supply considerations the evolutionary model presented here derives explic...
The trade of a fixed stock can be regarded as the basic process that measures its momentary price. The stock price is exactly known only at the time of sale when the stock is between traders, that is,...
In this paper we formulate a corporate bond (CB) pricing model for deriving the term structure of default probabilities (TSDP) and the recov-ery rate (RR) for each pair of industry factor and credit r...
We consider a dynamic market model where buyers and sellers submit limit orders. If at a given moment in time, the buyer is unable to complete his entire order due to the shortage of sell orders at th...
Financial markets are a classical example of complex systems as they are compound by many interacting stocks. As such, we can obtain a surprisingly good description of their structure by making the ro...
In the present paper we fill an essential gap in the Convertible Bonds pricing world by deriving a Binary Tree based model for valuation subject to credit risk. This model belongs to the framework kno...
We propose an extremely simple mathematical model that is shown to be able to account for more than 99 per cent of all the variation in economic and demographic macrodynamics of the world for almost t...
The price of a given stock is exactly known only at the time of sale when the stock is between the traders. If we know the price (owner) then we have no information on the owner (price). A more genera...
The short-time asymptotic behavior of option prices for a variety of models with jumps has received much attention in recent years. In the present work, a novel second-order approximation for ATM opti...
We introduce and treat rigorously a new multi-agent model of the limit order book. Our model is designed to explain a behavior of the market when new information a ecting the market arrives. Our model...
This paper examines the adaptive market hypothesis of Lo (2004, 2005) using the Ito and Noda’s (2012) non-Bayesian time-varying AR model in Japan. As shown in Ito and Noda (2012), their degree of mar...
This paper presents an agent-based model of a dealer-mediated market, similar to Nasdaq 1 . We outline the overall model and represen- tation of the market rules and order handling infrastructure,...
We propose a quasi-Monte Carlo algorithm for pricing knock-out and knock-in barrier options under the Heston (1993) stochastic volatility model. This is done by modifying the LT method from Imai and T...
Operational risk is the risk relative to monetary losses caused by failures of bank internal processes due to heterogeneous causes. A dynamical model including both spontaneous generation of losses an...

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