Mathematical Aspects of Financial Markets with Frictions

Frictions are factors that hinder trading of securities in financial markets. Typical frictions include limited market depth, transaction costs, lack of infinite divisibility of securities, and taxes. Conventional models used in mathematical finance often gloss over these issues, which affect almost all financial markets, by arguing that the impact of frictions is negligible and, consequently, the frictionless models are valid approximations. This dissertation consists of three research papers, which are related to the study of the validity of such approximations in two distinct modeling problems. Models of price dynamics that are based on diffusion processes, i.e., continuous strong Markov processes, are widely used in the frictionless scenario. The first paper establishes that diffusion models can indeed be understood as approximations of price dynamics in markets with frictions. This is achieved by introducing an agent-based model of a financial market where finitely many agents trade a financial security, the price of which evolves according to price impacts generated by trades. It is shown that, if the number of agents is large, then under certain assumptions the price process of security, which is a pure-jump process, can be approximated by a one-dimensional diffusion process. In a slightly extended model, in which agents may exhibit herd behavior, the approximating diffusion model turns out to be a stochastic volatility model. Finally, it is shown that when agents' tendency to herd is strong, logarithmic returns in the approximating stochastic volatility model are heavy-tailed. The remaining papers are related to no-arbitrage criteria and superhedging in continuous-time option pricing models under small-transaction-cost asymptotics. Guasoni, Rásonyi, and Schachermayer have recently shown that, in such a setting, any financial security admits no arbitrage opportunities and there exist no feasible superhedging strategies for European call and put options written on it, as long as its price process is continuous and has the so-called conditional full support (CFS) property. Motivated by this result, CFS is established for certain stochastic integrals and a subclass of Brownian semistationary processes in the two papers. As a consequence, a wide range of possibly non-Markovian local and stochastic volatility models have the CFS property.

Roman Ingarden’s Objectivity vs. Subjectivity as a problem of Translatability

Ingarden (1962, 1964) postulates that artworks exist in an “Objective purely intentional” way. According to this view, objectivity and subjectivity are opposed forms of existence, parallel to the opposition between realism and idealism. Using arguments of cognitive science, experimental psychology, and semiotics, this lecture proposes that, particularly in the aesthetic phenomena, realism and idealism are not pure oppositions; rather they are aspects of a single process of cognition in different strata. Furthermore, the concept of realism can be conceived as an empirical extreme of idealism, and the concept of idealism can be conceived as a pre-operative extreme of realism. Both kind of systems of knowledge are mutually associated by a synecdoche, performing major tasks of mental order and categorisation. This contribution suggests that the supposed opposition between objectivity and subjectivity, raises, first of all, a problem of translatability, more than a problem of existential categories. Synecdoche seems to be a very basic transaction of the mind, establishing ontologies (in the more Ingardean way of the term). Wegrzecki (1994, 220) defines ontology as “the central domain of philosophy to which other its parts directly or indirectly refer”. Thus, ontology operates within philosophy as the synecdoche does within language, pointing the sense of the general into the particular and/or viceversa. The many affinities and similarities between different sign systems, like those found across the interrelationships of the arts, are embedded into a transversal, synecdochic intersemiosis. An important question, from this view, is whether Ingardean’s pure objectivities lie basically on the impossibility of translation, therefore being absolute self-referential constructions. In such a case, it would be impossible to translate pure intentionality into something else, like acts or products.

Growth and Convergence: The case of China

Growth and Convergence: The Case of China Since the initiation of economic reforms in 1978, China has become one of the world’s fast-growing economies. The rapid growth, however, has not been shared equally across the different regions in China. The prominent feature of substantial differences in incomes and growth rates across the different Chinese regions has attracted the attention of many researchers. This book focuses on issues related to economic growth and convergence across the Chinese regions over the past three decades. The book has eight chapters. Apart from an introduction chapter and a concluding chapter, all the other chapters each deal with some certain aspects of the central issue of regional growth and convergence across China over the past three decades. The whole book is organized as follows. Chapter 1 provides an introduction to the basic issues involved in this book. Chapter 2 tests economic growth and convergence across 31 Chinese provinces during 1981-2005, based on the theoretical framework of the Solow growth model. Chapter 3 investigates the relationship between openness to foreign economic activities, such as foreign trade and foreign direct investment, and the regional economic growth in the case of China during 1981-2005. Chapter 4, based on data of 31 Chinese provinces over the period 1980-2004, presents new evidence on the effects of structural shocks and structural transformation on growth and convergence among the Chinese regions. Chapter 5, by building up an empirical model that takes account of different potential effects of foreign direct investment, focuses on the impacts of foreign direct investment on China’s regional economic performance and growth. Chapter 6 reconsiders the growth and convergence problem of the Chinese regions in an alternative theoretical framework with endogenous saving behavior and capital mobility across regions. Chapter 7, by building up a theoretical model concerning comparative advantage and transaction efficiency, focuses on one of the potential mechanisms through which China achieves its fast economic growth over the past few decades. Chapter 8 concludes the book by summarizing the results from the previous chapters and suggesting directions for further studies.

Essays on the Role of Time in Price Discovery (summary section only)

The purpose of this thesis is to examine the role of trade durations in price discovery. The motivation to use trade durations in the study of price discovery is that durations are robust to many microstructure effects that introduce a bias in the measurement of returns volatility. Another motivation to use trade durations in the study of price discovery is that it is difficult to think of economic variables, which really are useful in the determination of the source of volatility at arbitrarily high frequencies. The dissertation contains three essays. In the first essay, the role of trade durations in price discovery is examined with respect to the volatility pattern of stock returns. The theory on volatility is associated with the theory on the information content of trade, dear to the market microstructure theory. The first essay documents that the volatility per transaction is related to the intensity of trade, and a strong relationship between the stochastic process of trade durations and trading variables. In the second essay, the role of trade durations in price discovery is examined with respect to the quantification of risk due to a trading volume of a certain size. The theory on volume is intrinsically associated with the stock volatility pattern. The essay documents that volatility increases, in general, when traders choose to trade with large transactions. In the third essay, the role of trade durations in price discovery is examined with respect to the information content of a trade. The theory on the information content of a trade is associated with the theory on the rate of price revisions in the market. The essay documents that short durations are associated with information. Thus, traders are compensated for responding quickly to information

The Relationship Between Liquidity, Trading Activity and Return - Studies of the Finnish and Swedish Stock Markets

Liquidity, or how easy an investment is to buy or sell, is becoming increasingly important for financial market participants. The objective of this dissertation is to contribute to the understanding of how liquidity affects financial markets. The first essays analyze the actions taken by underwriters immediately after listing to improve liquidity of IPO stock. To estimate the impact of underwriter activity on the pricing of the IPOs, the order book during the first weeks of trading in the IPO stock is studied. Evidence of stabilization and liquidity enhancing activities by underwriters is found. The second half of the dissertation is concerned with the daily trading of stocks where liquidity may be impacted by policy issues such as changes in taxes or exchange fees and by opening the access to the markets for foreign investors. The desirability of a transaction tax on securities trading is addressed. An increase in transaction tax is found to cause lower prices and higher volatility. In the last essay the objective is to determine if the liquidity of a security has an impact on the return investors require. The results support the notion that returns are negatively correlated to liquidity.

Tiering Effects in Third-party Logistics: A First-tier Buyer Perspective

This doctoral dissertation takes a buy side perspective to third-party logistics (3PL) providers’ service tiering by applying a linear serial dyadic view to transactions. It takes its point of departure not only from the unalterable focus on the dyad levels as units of analysis and how to manage them, but also the characteristics both creating and determining purposeful conditions for a longer duration. A conceptual framework is proposed and evaluated on its ability to capture logistics service buyers’ perceptions of service tiering. The problem discussed is in the theoretical context of logistics and reflects value appropriation, power dependencies, visibility in linear serial dyads, a movement towards the more market governed modes of transactions (i.e. service tiering) and buyers’ risk perception of broader utilisation of the logistics services market. Service tiering, in a supply chain setting, with the lack of multilateral agreements between supply chain members, is new. The deductive research approach applied, in which theoretically based propositions are empirically tested with quantitative and qualitative data, provides new insight into (contractual) transactions in 3PL. The study findings imply that the understanding of power dependencies and supply chain dynamics in a 3PL context is still in its infancy. The issues found include separation of service responsibilities, supply chain visibility, price-making behaviour and supply chain strategies under changing circumstances or influence of non-immediate supply chain actors. Understanding (or failing to understand) these issues may mean remarkable implications for the industry. Thus, the contingencies may trigger more open-book policies, larger liability scope of 3PL service providers or insourcing of critical logistics activities from the first-tier buyer core business and customer service perspectives. In addition, a sufficient understanding of the issues surrounding service tiering enables proactive responses to devise appropriate supply chain strategies. The author concludes that qualitative research designs, facilitating data collection on multiple supply chain actors, may capture and increase understanding of the impact of broader supply chain strategies. This would enable pattern-matching through an examination of two or more sides of exchange transactions to measure relational symmetries across linear serial dyads. Indeed, the performance of the firm depends not only on how efficiently it cooperates with its partners, but also on how well exchange partners cooperate with an organisation’s own business.

An Empirical Study of the Mixture of Time and Movements in Prices

This paper investigates the persistent pattern in the Helsinki Exchanges. The persistent pattern is analyzed using a time and a price approach. It is hypothesized that arrival times are related to movements in prices. Thus, the arrival times are defined as durations and formulated as an Autoregressive Conditional Duration (ACD) model as in Engle and Russell (1998). The prices are defined as price changes and formulated as a GARCH process including duration measures. The research question follows from market microstructure predictions about price intensities defined as time between price changes. The microstructure theory states that long transaction durations might be associated with both no news and bad news. Accordingly, short durations would be related to high volatility and long durations to low volatility. As a result, the spread will tend to be larger under intensive moments. The main findings of this study are 1) arrival times are positively autocorrelated and 2) long durations are associated with low volatility in the market.

Puunoston kehittäminen Stora Enso Metsän Helsingin palvelupisteessä

The operation environment in the roundwood trade in Finland in the 1990’s include several changes. They are changes in the structure of non-industrial private forest (NIPF) ownership, forest taxation, in forest legislation, in price recommendation agreement, diminishing resources of forestry extension services, etc. At the same time, the roundwood demand has been rising. All these developments cause uncertainty in wood procurement organisations, and call for research to find out how to adapt into the changing environment. The objective of this study is to produce information for roundwood purchasing planning and cus-tomer satisfaction management to be used by Stora Enso Metsä Customer Service, Helsinki. For this pur-pose, data needs to be gathered about the urban NIPFs and their forest estates, behaviour related to forestry and timber-selling, customer satisfaction in their latest timber selling transaction, and their opinions about Enso’s new customer service office and its service concept. To fulfil the objective of the study, a NIPF -owner -survey (N=1064, response rate 39,7%) was con-ducted in October 1998-January 1999. The sample was made on the basis of the marketing database of Stora Enso Oyj Forest Customer Service in Helsinki. In planning the frame of reference of the empirical study, the model of service quality by Grönroos was applied. The following aspects were included in the 7-page questionnaire: demographic, sosio-economic and forest estate background, relation to the forest service supply, behaviour related to forestry, timber-selling motives and behaviour, last contact organisation and its image in forestry business, expectations and percep-tions in the latest timber-selling transactions, and behavioural intentions. The results revealed that the share of women, pensioners and academically educated people among forest owners was quite high. The majority of the forest estates of the metropolitan forest owners were situ-ated in the provinces of South Finland and East Finland. The average forest estate area was considerably smaller than in a previous study. Economic and recreational objectives were most important in the use of forests. Forest Associations were involved in half of the roundwood sales transactions of the respondents in the metropolitan area. The wood quantity of transactions was considerably higher than the average in the whole country. Bank-organised forest-related activities, taxation infos and trips to the forest were the most popular activities. Among the services, silvicultural advices were needed mostly and stub treatment least. Brochure material related to stumpage timber sales and taxation were considered most important compared to material related to delivery sales. The service expectations were at highest for women and they were less satisfied with the service than men. 2nd and 3rd generation residents of the metropolitan area thought about the new customer service concept more positively than the 1st generation residents. Internet users under 60 years thought more positively about new satellite picture-based woodlot search concept. Cross-tabulation of factor scores against background variables indicated that women with relatively low education level a greater need to sell roundwood than entrepreneurs, white-collar workers and directors, and Internet users. Suspiciousness towards timber procurement organisations was relatively strong among women and those whose forest income share of the total income was either null or over 20 %. The average customer satisfaction score was negative in all nine questions. Statistical differences be-tween different companies did not exist in the average satisfaction scores. Stora Enso’s Helsinki forest cus-tomer service could choose the ability to purchase all timber grades as its competitive advantage. Out of nine service dimension included in the questionnaire, in this particular service dimension, Enso’s Helsinki forest customer service’s score exceeded most all organisations’ average customer satisfaction score. On the basis of importance – performance matrix, advice and quidance could have been provided more to the forest owners in their latest timber–selling transaction.

Exploring a framework for advanced electronic business transactions

With the emergence of service-oriented computing technology, companies embrace new ways of carrying out business transactions electronically. Since the parties involved in an electronic business transaction (eBT) manage a heterogeneous information-systems infrastructure within their organizational domains, the collaboration complexity is considerable and safeguarding an interorganizational collaboration with an eBT is difficult, but of high significance. This paper describes a conceptual framework that pays attention to the complexities of an eBT and its differentiating characteristics that go further than traditional database transactions. Since the eBT is a framework that comprises separate levels, pre-existing transaction concepts are explored for populating the respective levels. To show the feasibility of the described eBT framework, industry initiatives that are aspiring to become business-transaction standards, are checked for eBT compatible characteristics. Since realizing an eBT framework raises many tricky issues, the paper maps out important research areas that require scientific attention. Essentially, it is required to investigate how the business semantics influences the nature of an eBT throughout its lifecycle.