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Option pricing and hedging with small transaction costs

by Jan Kallsen, Johannes Muhle-karbe - Math. Finance , 2012
"... An investor with constant absolute risk aversion trades a risky asset with general Itô-dynamics, in the presence of small proportional transaction costs. In this setting, we formally derive a leading-order optimal trading policy and the associated welfare, expressed in terms of the local dynamics o ..."
Abstract - Cited by 8 (6 self) - Add to MetaCart
An investor with constant absolute risk aversion trades a risky asset with general Itô-dynamics, in the presence of small proportional transaction costs. In this setting, we formally derive a leading-order optimal trading policy and the associated welfare, expressed in terms of the local dynamics

Homogenization and asymptotics for small transaction costs: Multi dimensions,

by H Mete Soner , Nizar Touzi , 2012
"... Abstract We consider the classical Merton problem of lifetime consumption-portfolio optimization problem with small proportional transaction costs. The first order term in the asymptotic expansion is explicitly calculated through a singular ergodic control problem which can be solved in closed form ..."
Abstract - Cited by 20 (6 self) - Add to MetaCart
Abstract We consider the classical Merton problem of lifetime consumption-portfolio optimization problem with small proportional transaction costs. The first order term in the asymptotic expansion is explicitly calculated through a singular ergodic control problem which can be solved in closed

The general structure of optimal investment and consumption with small transaction costs, preprint

by Jan Kallsen, Johannes Muhle-karbe , 2013
"... We investigate the general structure of optimal investment and consumption with small proportional transaction costs. For a safe asset and a risky asset with general continuous dy-namics, traded with random and time-varying but small transaction costs, we derive simple formal asymptotics for the opt ..."
Abstract - Cited by 11 (7 self) - Add to MetaCart
We investigate the general structure of optimal investment and consumption with small proportional transaction costs. For a safe asset and a risky asset with general continuous dy-namics, traded with random and time-varying but small transaction costs, we derive simple formal asymptotics

General indifference pricing with small transaction costs

by Dylan Possamaï, Guillaume Royer , 2014
"... ..."
Abstract - Cited by 2 (0 self) - Add to MetaCart
Abstract not found

Hedging under an expected loss constraint with small transaction costs

by Bruno Bouchard, Ludovic Moreau, H. Mete Soner , 2013
"... We consider the problem of option hedging in a market with proportional transaction costs. Since super-replication is very costly in such markets, we replace perfect hedging with an expected loss constraint. Asymptotic analysis for small transaction costs is used to obtain a tractable model. A gener ..."
Abstract - Cited by 4 (1 self) - Add to MetaCart
We consider the problem of option hedging in a market with proportional transaction costs. Since super-replication is very costly in such markets, we replace perfect hedging with an expected loss constraint. Asymptotic analysis for small transaction costs is used to obtain a tractable model. A

Asymptotic Analysis for Target Asset Portfolio Allocation with Small Transaction Costs

by Cong Liu , Harry Zheng
"... Abstract. In this paper we discuss the asset allocation in the presence of small proportional transaction costs. The objective is to keep the asset portfolio close to a target portfolio and at the same time to reduce the trading cost in doing so. We derive the variational inequality and prove a ver ..."
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Abstract. In this paper we discuss the asset allocation in the presence of small proportional transaction costs. The objective is to keep the asset portfolio close to a target portfolio and at the same time to reduce the trading cost in doing so. We derive the variational inequality and prove a

Portfolio optimization under small transaction costs: a convex duality approach

by Jan Kallsen , Shen Li , 2013
"... Abstract We consider an investor with constant absolute risk aversion who trades a risky asset with general Itô dynamics, in the presence of small proportional transaction costs. Kallsen and Muhle-Karbe ..."
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Abstract We consider an investor with constant absolute risk aversion who trades a risky asset with general Itô dynamics, in the presence of small proportional transaction costs. Kallsen and Muhle-Karbe

Portfolio selection with small transaction costs and binding portfolio constraints

by Ren Liu, Johannes Muhle-karbe , 2012
"... An investor with constant relative risk aversion and an infinite planning horizon trades a risky and a safe asset with constant investment opportunities, in the presence of small transac-tion costs and a binding exogenous portfolio constraint. We explicitly derive the optimal trading policy, its wel ..."
Abstract - Cited by 2 (1 self) - Add to MetaCart
An investor with constant relative risk aversion and an infinite planning horizon trades a risky and a safe asset with constant investment opportunities, in the presence of small transac-tion costs and a binding exogenous portfolio constraint. We explicitly derive the optimal trading policy, its

The Scaling Limit of Superreplication Prices with Small Transaction Costs in the Multivariate Case

by Peter Bank, Yan Dolinsky , 2015
"... Kusuoka [Limit Theorem on Option Replication Cost with Transaction Costs, Ann. Appl. Probab. 5, 198–221, (1995).] showed how to obtain non-trivial scaling limits of superreplication prices in discrete-time models of a single risky asset which is traded at properly scaled proportional transaction cos ..."
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Kusuoka [Limit Theorem on Option Replication Cost with Transaction Costs, Ann. Appl. Probab. 5, 198–221, (1995).] showed how to obtain non-trivial scaling limits of superreplication prices in discrete-time models of a single risky asset which is traded at properly scaled proportional transaction

LARGE FINANCIAL MARKETS AND ASYMPTOTIC ARBITRAGE WITH SMALL TRANSACTION COSTS

by Irene Klein, Emmanuel Lepinette, Lavinia Ostafe
"... ar ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
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