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Multi-period Trading Via Convex Optimization
Stephen P. Boyd
Enzo Busseti
Jan Speth
Ronald N. Kahn
Steven Diamond
Peter Nystrup
Kwangmoo Koh
出版
Now Publishers
, 2017
主題
TECHNOLOGY & ENGINEERING / Electrical
ISBN
1680833294
9781680833294
URL
http://books.google.com.hk/books?id=GT70vQEACAAJ&hl=&source=gbs_api
註釋
We consider a basic model of multi-period trading, which can be used to evaluate the performance of a trading strategy. We describe a framework for single-period optimization, where the trades in each period are found by solving a convex optimization problem that trades off expected return, risk, transaction cost and holding cost such as the borrowing cost for shorting assets. We then describe a multi-period version of the trading method, where optimization is used to plan a sequence of trades, with only the first one executed, using estimates of future quantities that are unknown when the trades are chosen. The single period method traces back to Markowitz; the multi-period methods trace back to model predictive control. Our contribution is to describe the single-period and multi-period methods in one simple framework, giving a clear description of the development and the approximations made. In this paper, we do not address a critical component in a trading algorithm, the predictions or forecasts of future quantities. The methods we describe in this paper can be thought of as good ways to exploit predictions, no matter how they are made. We have also developed a companion open-source software library that implements many of the ideas and methods described in the paper.