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E-raamat: Financial Modelling with Forward-looking Information: An Intuitive Approach to Asset Pricing

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This book focuses on modelling financial information flows and information-based asset pricing framework. After introducing the fundamental properties of the framework, it presents a short information-theoretic perspective with a view to quantifying the information content of financial signals, and links the present framework with the literature on asymmetric information and market microstructure by means of a dynamic, bipartite, heterogeneous agent network. Numerical and explicit analyses shed light on the effects of differential information and information acquisition on the allocation of profit and loss as well as the pace of fundamental price discovery. The dynamic programming method is used to seek an optimal strategy for utilizing superior information. Lastly, the book features an implementation of the present framework using real-world financial data.
1 Introduction
1(4)
References
4(1)
2 The Signal-Based Framework
5(28)
2.1 Modelling Information Flow
6(5)
2.2 The Signal-Based Price Process
11(9)
2.2.1 Gaussian Dividends
16(1)
2.2.2 Exponential Dividends
17(1)
2.2.3 Log-Normal Dividends
18(2)
2.3 Change of Measure and Signal-Based Derivative Pricing
20(7)
2.4 An Information-Theoretic Analysis
27(3)
2.5 Single Dividend-Multiple Market Factors
30(3)
References
31(2)
3 A Signal-Based Heterogeneous Agent Network
33(34)
3.1 Model Setup
37(2)
3.2 Numerical Analysis
39(7)
3.3 Signal-Based Optimal Strategy
46(21)
3.3.1 Characterisation of Expected Profit
46(11)
3.3.2 Risk-Neutral Optimal Strategy
57(4)
3.3.3 Extension to Risk-Adjusted Performance
61(1)
3.3.4 Extension to Risk-Averse Utility
61(4)
References
65(2)
4 Putting Signal-Based Model to Work
67(26)
4.1 Multiple Dividends: Single Market Factor
67(1)
4.2 The Case for "Implied" Dividends
68(4)
4.2.1 Recovering the Gordon Model in Continuous Time
70(2)
4.3 Real-Time Information Flow
72(3)
4.4 Calibrating the Information Flow Rate
75(2)
4.5 Analytical Approximation to Signal-Based Price
77(16)
4.5.1 Extension to Multiple Signals
84(1)
4.5.2 Maximum-Likelihood Estimation of Earnings Model
84(4)
4.5.3 Information-Based Model Output
88(2)
References
90(3)
5 Conclusion
93(4)
5.1 Financial Signal Processing (FSP)
94(3)
References
96(1)
A Analytical Gamma Approximation to Log-Normal via Kullback--Leibler Minimisation 97
Dr. Nadi Serhan Aydn, FRM, is a graduate of the Institute of Applied Mathematics at Middle East Technical University and a lecturer at TED University in Ankara, Turkey. Formerly, he was a research fellow at Imperial College London and served as a senior research economist in an intergovernmental organization. His research interest lies in financial mathematics, risk management, stochastic & digital filtering, market microstructure, and frequency-domain analysis.