
Single period risks acceptable to the market at zero cost are modeled by a convex set of random variables leading to bid and ask prices that are trade size dependent. The theory of nonlinear expectations is employed to construct dynamically consistent sequences of bid and ask unit size prices that are size and trade date contingent. We then study the optimal design of spot and forward trading to minimize execution costs. Finally, we illustrate the construction of a two period execution cost frontier trading a decrease in execution costs for additional exposure to price risk. Most structured products already have prices that depend on the direction of the trade. Additionally markets already exist for large block trades with their own price structure that takes account of the time allowed for its execution. This paper outlines arbitrage free mechanisms for generating such price structures that could lead to automating quotation systems for such markets. Additionally, we describe the tradeoffs implicit in seeking to commit to trades now as opposed to assuming the price risk implicit in delaying commitments. Such an explicit analysis could lead to the development of optimal execution algorithms that economize on the level of price risk absorbed into the execution strategies.
G10, JEL Classifications: G12, JEL Classifications: G13 [Market impact, concave distortion, non-linear expectation, bid ask functionals, JEL Classifications]
G10, JEL Classifications: G12, JEL Classifications: G13 [Market impact, concave distortion, non-linear expectation, bid ask functionals, JEL Classifications]
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 2 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
