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A general framework for portfolio theory, part III, multi-period markets and modular approach
by
Maier-Paape, Stanislaus
, Zhu, Qiji Jim
, Platen, Andreas
in
arbitrage
/ bond replicating
/ Capital assets
/ efficient frontier
/ modular portfolio theory
/ multi-period market model
/ Optimization
/ portfolio theory
/ Random variables
/ relative log drawdown
/ risk-free
/ Securities markets
/ trading strategy
/ Utility functions
2019
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A general framework for portfolio theory, part III, multi-period markets and modular approach
by
Maier-Paape, Stanislaus
, Zhu, Qiji Jim
, Platen, Andreas
in
arbitrage
/ bond replicating
/ Capital assets
/ efficient frontier
/ modular portfolio theory
/ multi-period market model
/ Optimization
/ portfolio theory
/ Random variables
/ relative log drawdown
/ risk-free
/ Securities markets
/ trading strategy
/ Utility functions
2019
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Do you wish to request the book?
A general framework for portfolio theory, part III, multi-period markets and modular approach
by
Maier-Paape, Stanislaus
, Zhu, Qiji Jim
, Platen, Andreas
in
arbitrage
/ bond replicating
/ Capital assets
/ efficient frontier
/ modular portfolio theory
/ multi-period market model
/ Optimization
/ portfolio theory
/ Random variables
/ relative log drawdown
/ risk-free
/ Securities markets
/ trading strategy
/ Utility functions
2019
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A general framework for portfolio theory, part III, multi-period markets and modular approach
Journal Article
A general framework for portfolio theory, part III, multi-period markets and modular approach
2019
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Overview
This is Part III of a series of papers which focus on a general framework for portfolio theory. Here, we extend a general framework for portfolio theory in a one-period financial market as introduced in Part I [Maier-Paape and Zhu, Risks 2018, 6(2), 53] to multi-period markets. This extension is reasonable for applications. More importantly, we take a new approach, the 'modular portfolio theory', which is built from the interaction among four related modules: (a) multi period market model; (b) trading strategies; (c) risk and utility functions (performance criteria); and (d) the optimization problem (efficient frontier and efficient portfolio). An important concept that allows dealing with the more general framework discussed here is a trading strategy generating function. This concept limits the discussion to a special class of manageable trading strategies, which is still wide enough to cover many frequently used trading strategies, for instance 'constant weight' (fixed fraction). As application, we discuss the utility function of compounded return and the risk measure of relative log drawdowns.
Publisher
MDPI,MDPI AG
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