Download or read book Nontraded Assets in Incomplete Markets written by Lars E. O. Svensson and published by . This book was released on 1992 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nontraded Assets in Incomplete Markets written by Lars E. O. Svensson and published by . This book was released on 1990 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Strategic Exercise of Options on Non traded Assets and Stochastic Volatility in an Incomplete Market written by SingRu Hoe and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The first study explores optimal investment policies for strategic option exercise when the underlying project is not traded. A duopoly model captures strategic interactions, while a partial spanning asset models market incompleteness. The option value to invest is obtained through indifference pricing, i.e., certainty equivalent value. I find that incompleteness narrows the gap between leader and follower entry dates. The follower enters much sooner, and the leader delays slightly compared to classic real options models. Modeling investment income stream as an Arithmetic Brownian motion is a better fit than Geometric Brownian motion, while reducing the necessary numerical approximations for obtaining the results in the incomplete market situation. As a byproduct of modeling two different stochastic income streams, I investigate the impact of market share and uncertainty on the relative investment trigger as well as the option value to invest. Results are sensitive to these factors; thus, it is important to model stochastic processes to accurately reflect the real world circumstances. The second study explores the valuation consequences of incompleteness resulting from stochastic volatility in a real options setting. The optimal policy is obtained through q-optimal measures as well as indifference pricing. I examine the efficacy of different approaches to finding and justifying a particular martingale measure. Stochastic volatility induced market incompleteness affects the investment/abandonment decision in several important ways. In addition, I demonstrate that indifference prices for the option value to invest and the abandonment option solve quasilinear variational inequalities with obstacle terms. With the exponential utility function, the utility-based indifference price admits a new pricing measure, which is the minimal relative entropy martingale measure minimizing the relative entropy between the historical measure and the Q martingale measure. I also show that the indifference price is non-increasing with respect to risk aversion. As the risk aversion parameter converges to zero, the indifference price converges to the unique bounded viscosity solution of the linear variational inequality with obstacle term.

Download or read book Closed Form Solutions for Options in Incomplete Markets written by Oana Floroiu and published by . This book was released on 2013 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper reconsiders the predictions of the standard option pricing models in the context of incomplete markets. We relax the completeness assumption of the Black-Scholes (1973) model and as an immediate consequence we can no longer construct a replicating portfolio to price the option. Instead, we use the good-deal bounds technique to arrive at closed-form solutions for the option price. We determine an upper and a lower bound for this price and find that, contrary to Black-Scholes (1973) options theory, increasing the volatility of the underlying asset does not necessarily increase the option value. In fact, the lower bound prices are always a decreasing function of the volatility of the underlying asset, which cannot be explained by a Black-Scholes (1973) type of argument. In contrast, this is consistent with the presence of unhedgeable risk in the incomplete market. Furthermore, in an incomplete market where the underlying asset of an option is either infrequently traded or non-traded, early exercise of an American call option becomes possible at the lower bound, because the economic agent wants to lock in value before it disappears as a result of increased unhedgeable risk.

Download or read book Evaluating the Effects of Incomplete Markets on Risk Sharing Nad Asset Pricing written by John Heaton and published by . This book was released on 1992 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Pricing and Hedging in Incomplete Markets with Model Uncertainty written by Anne Balter and published by . This book was released on 2018 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: We search for a trading strategy and the associated robust price of unhedgeable assets in incomplete markets under the acknowledgement of model uncertainty. Our set-up is that we postulate an agent who wants to maximise the expected surplus by choosing an optimal investment strategy. Furthermore, we assume that the agent is concerned about model misspecification. This robust optimal control problem under model uncertainty leads to (i) risk-neutral pricing for the traded risky assets, and (ii) adjusting the drift of the nontraded risk drivers in a conservative direction. The direction depends on the agent's long or short position, and the adjustment that ensures a robust strategy leads to what is known as "actuarial" or "prudential" pricing. Our results extend to a multivariate setting. We prove existence and uniqueness of the robust price in an incomplete market via the link between the semilinear partial differential equation and backward stochastic differential equations.

Download or read book Dynamic Asset Allocation in the Presence of Housing and Incomplete Markets written by Rune Mølgaard and published by . This book was released on 2015 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies in continuous time and in an incomplete market setting the optimal housing, consumption, labor and portfolio choice of an agent in the presence of stochastic house prices and wages. Thus, the house prices and wage rates cannot be spanned by the financial market. In particular, the paper investigates the optimal strategies under two different preference specifications with respect to housing. The paper provides new closed-form solutions in the special case in which the market is complete. In addition, the paper also studies the optimal housing, consumption, labor, portfolio and welfare implications of frictions in the housing market. Particularly, the optimal strategies and welfare loss are analyzed if the house is a non-traded asset. This paper suggests that the consumption, labor, speculative investment and hedging of human capital is similar across preference specification and frictions in the market for housing when the economy is complete. The consumption and labor strategies are, however, dependent on frictions in the market for housing in the case where the economy is incomplete. The welfare loss from these frictions is small in magnitude but will influence the optimal consumption, labor and portfolio choice.

Download or read book Home Bias and High Turnover written by Viktoria V. Hnatkovska and published by . This book was released on 2008 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do investors trade a lot in foreign assets and hold so little of them in their portfolios? This paper shows that both observations can arise naturally in the presence of nondiversifiable nontraded consumption risk when each country specializes in production, preferences exhibit consumption home bias, and asset markets are incomplete. Using a general equilibrium two-country, two-sector (tradable and nontradable) model of the world economy with production I show that low diversification occurs because variations in relative prices (i) increase the riskiness of foreign assets and (ii) facilitate risk-sharing across countries. Large and volatile capital flows are necessary to take advantage of international risk premia differentials that occur in response to productivity changes in the nontradable sector. I characterize the optimal portfolio holdings, the evolution of the investment opportunity set, the risk premium, and the dynamics of capital flows using a new methodology for solving dynamic general equilibrium models with incomplete markets and portfolio choice.

Download or read book Arbitrage Theory in Continuous Time written by Tomas Bjork and published by Oxford University Press, USA. This book was released on 2020-01-16 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fourth edition of this widely used textbook on pricing and hedging of financial derivatives now also includes dynamic equilibrium theory and continues to combine sound mathematical principles with economic applications. Concentrating on the probabilistic theory of continuous time arbitrage pricing of financial derivatives, including stochastic optimal control theory and optimal stopping theory, Arbitrage Theory in Continuous Time is designed for graduate students in economics and mathematics, and combines the necessary mathematical background with a solid economic focus. It includes a solved example for every new technique presented, contains numerous exercises, and suggests further reading in each chapter. All concepts and ideas are discussed, not only from a mathematics point of view, but with lots of intuitive economic arguments. In the substantially extended fourth edition Tomas Bjork has added completely new chapters on incomplete markets, treating such topics as the Esscher transform, the minimal martingale measure, f-divergences, optimal investment theory for incomplete markets, and good deal bounds. This edition includes an entirely new section presenting dynamic equilibrium theory, covering unit net supply endowments models and the Cox-Ingersoll-Ross equilibrium factor model. Providing two full treatments of arbitrage theory-the classical delta hedging approach and the modern martingale approach-this book is written so that these approaches can be studied independently of each other, thus providing the less mathematically-oriented reader with a self-contained introduction to arbitrage theory and equilibrium theory, while at the same time allowing the more advanced student to see the full theory in action. This textbook is a natural choice for graduate students and advanced undergraduates studying finance and an invaluable introduction to mathematical finance for mathematicians and professionals in the market.

Download or read book Handbooks in Operations Research and Management Science Financial Engineering written by John R. Birge and published by Elsevier. This book was released on 2007-11-16 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt: The remarkable growth of financial markets over the past decades has been accompanied by an equally remarkable explosion in financial engineering, the interdisciplinary field focusing on applications of mathematical and statistical modeling and computational technology to problems in the financial services industry. The goals of financial engineering research are to develop empirically realistic stochastic models describing dynamics of financial risk variables, such as asset prices, foreign exchange rates, and interest rates, and to develop analytical, computational and statistical methods and tools to implement the models and employ them to design and evaluate financial products and processes to manage risk and to meet financial goals. This handbook describes the latest developments in this rapidly evolving field in the areas of modeling and pricing financial derivatives, building models of interest rates and credit risk, pricing and hedging in incomplete markets, risk management, and portfolio optimization. Leading researchers in each of these areas provide their perspective on the state of the art in terms of analysis, computation, and practical relevance. The authors describe essential results to date, fundamental methods and tools, as well as new views of the existing literature, opportunities, and challenges for future research.

Download or read book Investment Decisions on Illiquid Assets written by Jaroslaw Morawski and published by Springer Science & Business Media. This book was released on 2009-02-14 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jaroslaw Morawski offers a practicable and theoretically well-founded solution to the problems encountered when investing in illiquid assets and develops a model of the liquidation process for this category of investments. The result is a coherent investment decision framework designed specifically for private real estate but applicable also to other illiquid assets.

Download or read book Financial Asset Pricing Theory written by Claus Munk and published by Oxford University Press, USA. This book was released on 2013-04-18 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents models for the pricing of financial assets such as stocks, bonds, and options. The models are formulated and analyzed using concepts and techniques from mathematics and probability theory. It presents important classic models and some recent 'state-of-the-art' models that outperform the classics.

Download or read book Market Consistent Prices written by Pablo Koch-Medina and published by Springer Nature. This book was released on 2020-07-16 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arbitrage Theory provides the foundation for the pricing of financial derivatives and has become indispensable in both financial theory and financial practice. This textbook offers a rigorous and comprehensive introduction to the mathematics of arbitrage pricing in a discrete-time, finite-state economy in which a finite number of securities are traded. In a first step, various versions of the Fundamental Theorem of Asset Pricing, i.e., characterizations of when a market does not admit arbitrage opportunities, are proved. The book then focuses on incomplete markets where the main concern is to obtain a precise description of the set of “market-consistent” prices for nontraded financial contracts, i.e. the set of prices at which such contracts could be transacted between rational agents. Both European-type and American-type contracts are considered. A distinguishing feature of this book is its emphasis on market-consistent prices and a systematic description of pricing rules, also at intermediate dates. The benefits of this approach are most evident in the treatment of American options, which is novel in terms of both the presentation and the scope, while also presenting new results. The focus on discrete-time, finite-state models makes it possible to cover all relevant topics while requiring only a moderate mathematical background on the part of the reader. The book will appeal to mathematical finance and financial economics students seeking an elementary but rigorous introduction to the subject; mathematics and physics students looking for an opportunity to get acquainted with a modern applied topic; and mathematicians, physicists and quantitatively inclined economists working or planning to work in the financial industry.

Download or read book Indifference Pricing written by René Carmona and published by Princeton University Press. This book was released on 2009-01-18 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book about the emerging field of utility indifference pricing for valuing derivatives in incomplete markets. René Carmona brings together a who's who of leading experts in the field to provide the definitive introduction for students, scholars, and researchers. Until recently, financial mathematicians and engineers developed pricing and hedging procedures that assumed complete markets. But markets are generally incomplete, and it may be impossible to hedge against all sources of randomness. Indifference Pricing offers cutting-edge procedures developed under more realistic market assumptions. The book begins by introducing the concept of indifference pricing in the simplest possible models of discrete time and finite state spaces where duality theory can be exploited readily. It moves into a more technical discussion of utility indifference pricing for diffusion models, and then addresses problems of optimal design of derivatives by extending the indifference pricing paradigm beyond the realm of utility functions into the realm of dynamic risk measures. Focus then turns to the applications, including portfolio optimization, the pricing of defaultable securities, and weather and commodity derivatives. The book features original mathematical results and an extensive bibliography and indexes. In addition to the editor, the contributors are Pauline Barrieu, Tomasz R. Bielecki, Nicole El Karoui, Robert J. Elliott, Said Hamadène, Vicky Henderson, David Hobson, Aytac Ilhan, Monique Jeanblanc, Mattias Jonsson, Anis Matoussi, Marek Musiela, Ronnie Sircar, John van der Hoek, and Thaleia Zariphopoulou. The first book on utility indifference pricing Explains the fundamentals of indifference pricing, from simple models to the most technical ones Goes beyond utility functions to analyze optimal risk transfer and the theory of dynamic risk measures Covers non-Markovian and partially observed models and applications to portfolio optimization, defaultable securities, static and quadratic hedging, weather derivatives, and commodities Includes extensive bibliography and indexes Provides essential reading for PhD students, researchers, and professionals

Download or read book Asset Pricing in an Incomplete Market with a Locally Risky Discount Factor written by Sankarshan Acharya and published by . This book was released on 1995 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dynamic Asset Pricing Theory written by Darrell Duffie and published by Princeton University Press. This book was released on 2010-01-27 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a thoroughly updated edition of Dynamic Asset Pricing Theory, the standard text for doctoral students and researchers on the theory of asset pricing and portfolio selection in multiperiod settings under uncertainty. The asset pricing results are based on the three increasingly restrictive assumptions: absence of arbitrage, single-agent optimality, and equilibrium. These results are unified with two key concepts, state prices and martingales. Technicalities are given relatively little emphasis, so as to draw connections between these concepts and to make plain the similarities between discrete and continuous-time models. Readers will be particularly intrigued by this latest edition's most significant new feature: a chapter on corporate securities that offers alternative approaches to the valuation of corporate debt. Also, while much of the continuous-time portion of the theory is based on Brownian motion, this third edition introduces jumps--for example, those associated with Poisson arrivals--in order to accommodate surprise events such as bond defaults. Applications include term-structure models, derivative valuation, and hedging methods. Numerical methods covered include Monte Carlo simulation and finite-difference solutions for partial differential equations. Each chapter provides extensive problem exercises and notes to the literature. A system of appendixes reviews the necessary mathematical concepts. And references have been updated throughout. With this new edition, Dynamic Asset Pricing Theory remains at the head of the field.

Download or read book Strategic Asset Allocation written by John Y. Campbell and published by Clarendon Lectures in Economic. This book was released on 2002 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a scientific foundation for the advice offered by financial planners to long-term investors. Based upon statistics on asset return behavior and assumed investor objectives, the authors derive optimal portfolio rules that investors can compare with existing rules of thumb.