Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/257898 
Year of Publication: 
2019
Citation: 
[Journal:] Risks [ISSN:] 2227-9091 [Volume:] 7 [Issue:] 2 [Article No.:] 60 [Publisher:] MDPI [Place:] Basel [Year:] 2019 [Pages:] 1-31
Publisher: 
MDPI, Basel
Abstract: 
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.
Subjects: 
portfolio theory
modular portfolio theory
efficient frontier
trading strategy
multi-period market model
arbitrage
bond replicating
risk-free
relative log drawdown
Persistent Identifier of the first edition: 
Creative Commons License: 
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Document Type: 
Article
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