Boating Against the Current: The Advance-Retreat Analysis for Socio-Economic Process

Boating against the current is a kind of human behavior which can generalize many real socio-economic processes. Starting from the view of point, this paper suggests the problem for advance-retreat course and builds the general analytic models of advance-retreat. By the models, we could see the endogenous resistances, instead of exogenous resistances, causes the periodic fluctuation in socio-economic process, and get the critical condition under which the periodic fluctuation is occured. A series of results for developing motivity and investing strategies are obtained. Finally, the conclusions and strategies are illuminated to be rational and maneuverable by two examples.socio-economic development; advancing motivity; environment resistance; advance-retreat course

The Soft Engine for Economic Growth in a Long-Time:The Economic Development Power, Conversion and Conservation for economic Energy

Based on the theories of Development Power([18]-[20]) and Partial Distribution([21]-[24]), and combining with the actual economic development, this paper discusses the main ways how the Development Power (DP) is accumulated or released, establishes the analytic models of DP and the model of relation between DP and productivity; classifies economic development into the three states in energy¡ªthe state of normal energy, strong energy and super energy; gives the method of calculating the critical time of strong energy and super energy and the approach to describe the evolving process of these three states; puts forward the laws of conversion and conservation between mass and energy in economic developing. According to that DP is accumulated and released one after another, this paper points out, a sign that accumulation of DP is completed is the most of economic factors are in order, and the sign that release of DP is completed is the most of economic factors are in chaos, and also gives the ways to calculate the most possible time that the DP starts accumulating or releasing. Finally, the author make a comprehensive empirical analysis on all of results in this paper by means of the US GDP data from 1940 to 2003, the outcomes are satisfied. The conclusions in this paper make clear that the economic Development Power, namely economic development energy, is the engine for the economic growth.Development Power (DP), Partial Distribution, economic growth, energy states of economic development, conversion and conservation on economic energy, analytic model

Boating Against the Current: Cases, Concepts, Models and Development Power

Generalizing from many of actual problems, this paper puts forward the game: boating against the current, discusses the related assumptions and analyzes the related characters of it. Further more, the author gives the dispersed and continuous models for boating against the current Based on the Partial Distribution[14]-[17]. It is worth to say that the game of boating against the current is a representative example of Development Power problems [18]-[21]. So we should see that the theories of Development Power is proved to have a wide realistic background, and studying Development Power is important for human to interpret and to analyze the macro-laws and macro-characters of economy and society developing.boating against the current, Development Power (DP), Partial Distribution, society and economy, analytic model

Optimal Choice Models for Executing Time to American Options

Based on the structure models of options pricing on non-dividend-paying stock [16], this paper presents the choosing models and methods of optimal time of executing an American options for the first time. By using the models and methods, we can find the choosing criterion and optimal time to exercise the American options, i.e. the product of options price and its occurring probability is at maximum. So we can decide that an American option should be exercised or not in any time. The conclusions in this paper are more important in its consulting effect for single trader and organization investors to make their security market trade.partial distribution; American options; structure pricing; optimal executing; analytic formula

Development Power and Derivative Process-A Model and Theory for Macroeconomy Analysis

Stating from the basic characteristics of economic development process and based on the partial distribution [F.Dai, 2001], this paper advance the concept of development power, give its basic models, and try to establish a theory of describing and analyzing the macroeconomy ©¤ the development power and derivative process. By means of the development power theory, we can explain and solve some important problems in macroeconomic researches, such as how the economic cycle be formed, what is the reason that economic outputs vary violently, etc. And by the derivative process model, we can give out the indexes of valuating development power and development vitality in economic process, analyze the macroscopic course of economic development, and compute the beginning time and ending time of the economic cycle depending on the accumulating and releasing development power. Finally, we analyze emphatically the DP movement in economic development of China and USA in recent several decades, in order to show the realistic background and the creditability of development power and derivative process.partial distribution, macroeconomy, development power (DP), derivative process, analytic model

The Golden Growth Law in Economic Process

Based on the partial distribution1 and the developower (development power) 2, this paper puts forward the golden growth law in economic process for the first time. The law describes the optimal relation between the economic investment and the economic growth, and could be taken as a basis to distinguish that the economic process is higher in developing efficiency or not. A series of important constants in economy are obtained on the golden growth law, like the coefficient of golden growth and the increment contribution of developower in economic growth. These coefficients can reflect some of key number relations among the economic growth. Also in this paper, the programming and managing models for economic growth are given on the economic structure. We can use them as the tools to analyze and control the macroeconomic growth in analytic way. Finally, by the empirical researches, the golden growth law is explained to be existent and effective, the programming model for economic structure are proved to be useful to make decision in macroeconomic management.partial distribution, developower, economic growth, golden growth law, economic structure

The DF Structure Models for Options Pricing On the Dividend- Paying and Capital-Splitting

Based on the DF structure models for option pricing (F. Dai, 2005), this paper discusses further the DF structure models on three cases, i.e., the underlying stock being dividend-paid, capital-split or dividend-paid and capital-split. These three cases are discussed separately, and are integrated to the general models for call or put. Finally, the examples are given to compare the options prices calculated by the DF formulas and Black-Scholes formulas, and they show, as a whole, that the DF formulas are not inferior to Black-Scholes formulas. DF formula is useful to traders in financial market because it is convenient to adjust along with the trading time.DF structure model, options pricing, dividend-paying, capital- splitting