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Author: Erhan Bayraktar
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Book Description
We consider the fundamental theorem of asset pricing (FTAP) and hedging prices of options under non-dominated model uncertainty and portfolio constrains in discrete time. We first show that no arbitrage holds if and only if there exists some family of probability measures such that any admissible portfolio value process is a local super-martingale under these measures. We also get the non-dominated optional decomposition with constraints. From this decomposition, we get duality of the super-hedging prices of European options, as well as the sub- and super-hedging prices of American options. Finally, we get the FTAP and duality of super-hedging prices in a market where stocks are traded dynamically and options are traded statically.
Author: Erhan Bayraktar
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Book Description
We consider the fundamental theorem of asset pricing (FTAP) and hedging prices of options under non-dominated model uncertainty and portfolio constrains in discrete time. We first show that no arbitrage holds if and only if there exists some family of probability measures such that any admissible portfolio value process is a local super-martingale under these measures. We also get the non-dominated optional decomposition with constraints. From this decomposition, we get duality of the super-hedging prices of European options, as well as the sub- and super-hedging prices of American options. Finally, we get the FTAP and duality of super-hedging prices in a market where stocks are traded dynamically and options are traded statically.
Author: Gangadhar Bala Arshanapalli
Publisher:
ISBN:
Category : Investments
Languages : en
Pages : 356
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Book Description
Author: Zhi Li
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Alexander Schied
Publisher:
ISBN:
Category :
Languages : en
Pages : 19
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Book Description
Author: Hans Föllmer
Publisher: Walter de Gruyter
ISBN: 3110218046
Category : Business & Economics
Languages : en
Pages : 557
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Book Description
This is the third, revised and extended edition of the classical introduction to the mathematics of finance, based on stochastic models in discrete time. In the first part of the book simple one-period models are studied, in the second part the idea
Author: Kerry Back
Publisher: Oxford University Press
ISBN: 0190241144
Category : Business & Economics
Languages : en
Pages : 745
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Book Description
Today all would agree that Mexico and the United States have never been closer--that the fates of the two republics are intertwined. Mexico has become an intimate part of life in almost every community in the United States, through immigration, imported produce, business ties, or illegal drugs. It is less a neighbor than a sibling; no matter what our differences, it is intricately a part of our existence. In the fully updated second edition of Mexico: What Everyone Needs to Know(R), Roderic Ai Camp gives readers the most essential information about our sister republic to the south. Camp organizes chapters around major themes--security and violence, economic development, foreign relations, the colonial heritage, and more. He asks questions that take us beyond the headlines: Why does Mexico have so much drug violence? What was the impact of the North American Free Trade Agreement? How democratic is Mexico? Who were Benito Juarez and Pancho Villa? What is the PRI (the Institutional Revolutionary Party)? The answers are sometimes surprising. Despite ratification of NAFTA, for example, Mexico has fallen behind Brazil and Chile in economic growth and rates of poverty. Camp explains that lack of labor flexibility, along with low levels of transparency and high levels of corruption, make Mexico less competitive than some other Latin American countries. The drug trade, of course, enhances corruption and feeds on poverty; approximately 450,000 Mexicans now work in this sector. Brisk, clear, and informed, Mexico: What Everyone Needs To Know(R) offers a valuable primer for anyone interested in the past, present, and future of our neighbor to the South. Links to video interviews with prominent Mexicans appear throughout the text. The videos can be accessed at through The Oxford Research Encyclopedia of Latin American History at http: //latinamericanhistory.oxfordre.com/page/videos/
Author: Yuhong Xu
Publisher:
ISBN:
Category :
Languages : en
Pages : 22
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Book Description
In this paper I investigate financial markets with drift and volatility uncertainties. Appropriate definitions of arbitrage for super and sub-hedging strategies are presented such that the super and sub-hedging prices are reasonable. Especially the condition of arbitrage for sub-hedging strategy fills the gap of the theory of arbitrage under model uncertainty. The Profit&Loss (P&L for short) of super(sub)-hedging is derived to be in fact the penalty term K with finite-variance arising in the super(sub)-hedging strategy. The ask-bid spread is hence an accumulation of the superhedging P&L and the subhedging P&L.Asset allocation under constant absolute risk aversion (CARA) utility is investigated with ambiguous volatility and subjective risk premium. I show that ambiguity aversion of a rational individual decreases her market participation. The aggregate premium is computed explicitly which is decomposed into three parts. Opposite signs between the rates of ambiguity premium and risk premium demonstrate that a decrease in ambiguity premium on volatility gives rise to an increase in risk premium.Kelly criterion for the wealth process to reach a goal is also studied under such ambiguous market. Ambiguity of stock appreciation rate results in investors' withdraw from markets whereas in a single-priced market, investors always trade with the market if no short-sale constraints and no transaction cost.
Author: Daisuke Yoshikawa
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
In this paper, we consider an optimal stopping problem that addresses model uncertainty. Model uncertainty is the uncertainty affecting the model assumptions, e.g., the assumed form of the probability distribution, the parameters embedded in the probability distribution. The result presented in this paper shows the explicit form of the boundary indicating the optimal stopping time, assuming the portfolio value as an Ornstein-Uhlenbeck process. Furthermore, the boundary can be regulated depending on the ambiguity of the estimated model. Thus, the boundary is more robust than a boundary derived without taking into account model uncertainty. In this sense, the application of our method might make statistical arbitrage more robust, because the trading code for statistical arbitrage is often based on the statistical test which might lead the incorrect estimation. We also show that the value function for the optimal stopping problem that addresses model uncertainty has a consistent structure with the certainty equivalent, which is used to derive the risk premium in the context of the expected utility with risk rather than model uncertainty.
Author: Fred Espen Benth
Publisher: Springer
ISBN: 3319004131
Category : Mathematics
Languages : en
Pages : 326
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Book Description
The current volume presents four chapters touching on some of the most important and modern areas of research in Mathematical Finance: asset price bubbles (by Philip Protter); energy markets (by Fred Espen Benth); investment under transaction costs (by Paolo Guasoni and Johannes Muhle-Karbe); and numerical methods for solving stochastic equations (by Dan Crisan, K. Manolarakis and C. Nee).The Paris-Princeton Lecture Notes on Mathematical Finance, of which this is the fifth volume, publish cutting-edge research in self-contained, expository articles from renowned specialists. The aim is to produce a series of articles that can serve as an introductory reference source for research in the field.
Author: Antonio Mele
Publisher: MIT Press
ISBN: 0262046849
Category : Business & Economics
Languages : en
Pages : 1147
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Book Description
A comprehensive reference for financial economics, balancing theoretical explanations, empirical evidence, and the practical relevance of knowledge in the field. This volume offers a comprehensive, integrated treatment of financial economics, tracking the major milestones in the field and providing methodological tools. Doing so, it balances theoretical explanations, empirical evidence, and practical relevance. It illustrates nearly a century of theoretical advances with a vast array of models, showing how real phenomena (and, at times, market practice) have helped economists reformulate existing theories. Throughout, the book offers examples and solved problems that help readers understand the main lessons conveyed by the models analyzed. The book provides a unique and authoritative reference for the field of financial economics. Part I offers the foundations of the field, introducing asset evaluation, information problems in asset markets and corporate finance, and methods of statistical inference. Part II explains the main empirical facts and the challenges these pose for financial economists, which include excess price volatility, market liquidity, market dysfunctionalities, and the countercyclical behavior of market volatility. Part III covers the main instruments that protect institutions against the volatilities and uncertainties of capital markets described in part II. Doing so, it relies on models that have become the market standard, and incorporates practices that emerged from the 2007–2008 financial crisis.
