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Mathematical Dynamics of Economic Markets
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Authors: Alexei Krouglov 
Book Description:
In this new book the author, Alexei Krouglov, examines real business cycles, financial markets, and economic growth with various mathematical models. Real business cycles are explained through differential equations describing market forces of demand and supply, and examined with three different models: one product and one supplier, one product and two suppliers, and n-products with n-suppliers. Financial markets are examined with more complex models because more complex topics, such as inflation and the stock market, are involved. Economic growth is explained by modeling of savings process. Mathematical models that are specifically concerned with trade and arbitrage are also presented.

Table of Contents:
1 Real Business Cycles
1.1 Introduction
1.2 Basics of Real Business Fluctuations
1.2.1 Initial Equilibrium
1.2.2 Supply Forces
1.2.3 Demand Forces
1.3 Condition of Non-Negativity
1.4 Price Fluctuations
1.4.1 Price as Dual Variable
1.4.2 Duality of Price Fluctuations
1.5 Intra-Industrial Dynamics
1.5.1 Model Assumptions
1.5.2 Effect of Exit from Market
1.5.3 Effect of Demand Growth
1.5.4 Effect of Attempt to Takeover
1.6 Inter-Industrial Dynamics
1.6.1 Model Assumptions
1.6.2 Fluctuations of Products’ Supply and Demand
1.6.3 Fluctuations of Products’ Prices
1.6.4 Discussion of Model Assumptions
1.7 Summary
2 Financial Markets
2.1 Introduction
2.2 Inflation
2.2.1 Outline of Inflationary Phenomenon
2.2.2 Occasional Rise of Products’ Prices
2.2.3 Systematic Rise in Products’ Prices
2.3 Money Market
2.3.1 Significance of Money Market
2.3.2 Money Market’s Dynamics
2.3.3 Relation between Markets of Money and Products
2.3.4 Joined Markets for Money and Single Product
2.3.5 Model of Joined Markets with Unilateral Relations
2.3.6 Model of Joined Markets with Bilateral Relations 48
2.3.7 Intra-Industrial Dynamics in Joined Markets – Money and Single Product
2.3.8 Inter-Industrial Dynamics in Joined Markets – Money and Multiple Products
2.4 Stock Market
2.4.1 Outline of Markets’ Hierarchy
2.4.2 Primary Market – Market for Products
2.4.3 Primary Market – Money Market
2.4.4 Primary Market – Joined Market of Money and Products
2.4.5 Secondary Market – Market of Equities
2.4.6 Secondary Market – Joined Markets of Money and Equities
2.4.7 Tertiary Market – Market of Derivatives
2.4.8 Tertiary Market – Joined Markets of Money and Derivatives
2.5 Summary
3 Economic Growth, Trade, and
3.1 Introduction
3.2 Economic Growth
3.2.1 Savings on Market for Single Product
3.2.2 Products’ Savings and Economic Growth
3.2.3 Savings on Money Market
3.2.4 Money Savings and Interest Rates
3.3 Economic Trade
3.3.1 Trade on Integrated Markets of Single Product
3.3.2 Trade on Connected Markets of Single Product
3.3.3 Trade on Foreign Exchange Market
3.4 Market Arbitrage
3.4.1 Outline of Arbitration Phenomenon
3.4.2 Product’s Price Arbitrage
3.4.3 Money’s Price Arbitrage
3.4.4 About Interest Rate Arbitrage
3.5 Summary Appendices
A. Time-Space Fluctuations
A.1 Introduction
A.2 Equilibrium State
A.3 Dynamics in Time Domain
A.4 Dynamics in Space Domain
A.5 Dynamics of Prices
A.6 Economic Forces in Space Domain
B. Securities Valuation
B.1 Introduction
B.2 Sustained State
B.2.1 Constant-Rate Growth of Money Value
B.2.2 About Exponential Growth of Money Value
B.3 Common-Stock Share’s Value
B.4 American Call Option’s Value
B.5 American Put Option’s Value
B.6 European Call Option’s Value
B.7 European Put Option’s Value
B.8 Arbitrage between Current and Future Values Index.

   Binding: Hardcover
   Pub. Date: 2006
   ISBN: 1-59454-528-6
   Status: AV
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
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Mathematical Dynamics of Economic Markets