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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,...
There is an extensive historical dataset on real GDP per capita prepared by Angus Maddison. This dataset covers the period since 1870 with continuous annual estimates in developed countri...
We introduce various definitions for price momentum of financial instruments in quantitative and mathematical ways. Measurement of the price momentum de-rived from the concept of momentum in physics c...
We consider a model in which a trader aims to maximize expected risk-adjusted profit while trading a single security. In our model, each price change isa linear combination of observed factors, impact...
We analyse the behaviour of the implied volatility smile for options close to expiry in the exponential Levy class of asset price models with jumps. We introduce a new renormalisation of the strike v...
We propose and document the evidence for an analogy between the dynamics of granular counter-flows in the presence of bottlenecks or restrictions and financial price formation processes. Using extensi...
We study the nature of fluctuations in variety of price indices involving companies listed on the New York Stock Exchange. The fluctuations at multiple scales are extracted through the use of wavelets...
In two previous papers the author developed a second-order price adjustment (t\^atonnement) process. This paper extends the approach to include both quantity and price adjustments. We demonstrate thre...
We propose a new cognitive framework for option price modelling, using quantum neural computation formalism. Briefly, when we apply a classical nonlinear neuralnetwork learning to a linear quantum S...
In this paper we derive the Markowitz-optimal, deterministic-execution trajectory for a trader who wishes to buy or sell a large position of a share which evolves as a geometric Brownian motion in co...
After a brief summary of oil price behaviour from 1946 onwards, the problem of modelling daily oil prices from 1990 onwards is addressed. The arbitrage pricing continuous time models from the literatu...
Considered the Random Differential Equation that state variables based on, the paper thinks that at least n+1 kinds of the price of exchangeable securities depend on PDE,its matrix and corresponding p...
Considered the Random Differential Equation that state variables based on, the paper thinks that at least n+1 kinds of the price of exchangeable securities depend on PDE,its matrix and corresponding p...

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