Abstract
Many of the investment and hedging problems we will encounter can be formulated as a minimization of a function over a set determined by the investor’s risk and budget constraints and other restrictions on the type of positions that the investor can take. Such problems become particularly tractable if both the function to be minimized and the set over which the minimization is done are convex. The minimization problem is in this case called a convex optimization problem. This chapter presents basic results for solving convex optimization problems that will be applied in subsequent chapters.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Boyd, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press, Cambridge (2004)
Luenberger, D.G.: Linear and Nonlinear Programming, 2nd edn. Addison-Wesley, Reading (1989)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media New York
About this chapter
Cite this chapter
Hult, H., Lindskog, F., Hammarlid, O., Rehn, C.J. (2012). Convex Optimization. In: Risk and Portfolio Analysis. Springer Series in Operations Research and Financial Engineering. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4103-8_2
Download citation
DOI: https://doi.org/10.1007/978-1-4614-4103-8_2
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-4102-1
Online ISBN: 978-1-4614-4103-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)