Working
Paper Series 1999
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| The Working Paper Series is the internal
publication platform of the research project 'Adaptive Informations Systems and Management
in Economics and Management Science'. If you are interested in any of the articles stated
below, please download document if available. List of working papers 1999
(click for more information)
| 1-5 |
Working
Paper Series 1997 |
| 6-25 |
Working
Paper Series 1998 |
| 26 |
Is
there a Predictable Criterion for Mutual Singularity
of two Probability Measures on a Filtered Space? |
| 27 |
Some
Remarks on a Paper of David Kreps |
| 28 |
A
Bipolar Theorem for Subsets of $L^0_+(\Om, \Cal F,
\P)$ |
| 29 |
An
Examination Of Indexes For Determining The Number
Of Clusters In Binary Data Sets |
| 30 |
Consistent
Expectations Equilibria and Learning in a Stock Market
|
| 31 |
A
Voting-Merging Clustering Algorithm |
| 32 |
ANNAM
An Artificial Neural Net Attraction Model to Analyze
Market Shares |
| 33 |
a-Consistent
Expectations Equilibria |
| 34 |
Die
Bedeutung von Volatilitätsprognosen, Verteilungsschätzungen
und Portfoliobewertung im Rahmen von Value at Risk-Modellen
|
| 35 |
Evaluation
and Analysis of Total Flexibility in the Production
Using Monte Carlo Simulation |
| 36 |
Stability
of Real-Time Lot-Scheduling and Machine Replacement
Policies with Quality Levels |
| 37 |
On
the Ergodicity and Stationarity of the ARMA(1,1) Recurrent
Neural Network Process |
| 38 |
How
Option Thinking can Improve Software Platform Decisions
|
| 39 |
Adaptive
Erwartungsbildung und Finanzmarktdynamik |
| 40 |
The
Tradeoff between Coordination and Interfering Learning
Signals |
| 41 |
Individual
Level or Segmentation Based Market Simulation? |
| 42 |
New
Product Development in the Artificial Factory |
| 43 |
Adaptive
Agents in the House of Quality |
| 44 |
Volatility
Forecasts and the Enhancement of Risk/Return Profiles
through Automated Trading Strategies |
| 45 |
The
Three Stages in Bond Market Development Embryonic,
Emerging and Established Markets: A Comparison for
Objective Dispersion Processes and the Implications
for Option Pricing |
| 46 |
The
Austrian Stock Market Comparison of Objective Dispersion
Processes and the Implications for Options Pricing |
| 47 |
Established
vs. Emerging Stock Index Future Markets: A Comparison
of Dispersion Processes and the Implications for Option
Pricing |
| 48 |
Non-Linear
Exotic Contigent Claims: The Power Option |
| 49 |
Implied
Volatility Surfaces: Uncovering Regularities for Options
on Financial Futures |
| 50 |
Improving
Predictive Validity of Choice-Based Conjoint Models |
| 51 |
Bagged
Clustering |
| 52 |
Cointegration
and Exchange Market Efficiency: An Analysis of High
Frequency Data |
| 53 |
On
Specifying Correlation Matrices for Binary Data |
| 54 |
Asset
Pricing Under Asymmetric Information |
| 55 |
Using
Genetics Based Machine Learning to find Strategies
for Product Placement in a dynamic Market |
| 56 |
Controllability
of Dicrete-Time Two Dimensional Single Input Recurrent
Neural Networks |
| 57 |
Sample
Autocorrelation Learning in a Capital Market Model |
| 58 |
The
Limitations of No-Arbitrage Arguments for Real Options |
| 59 |
Modeling
Market Scemarios for Simulation Studies on the Joint
Segmentation and Positioning Problem |
| 60 |
The
SIMSEG Project: A Simulation Environment for Market
Segmentation and Positioning Strategies |
| 61-78 |
Working
Paper Series 2000 |
| 79-84 |
Working
Paper Series 2001 |
| 85-93 |
Working
Paper Series 2002 |
| 94-.. |
Working
Paper Series 2003 |
|
26
Working Paper #26, January 1999 (Ini 2)
Walter Schachermayer, Werner Schachinger
Is
there a Predictable Criterion for Mutual Singularity of two Probability Measures on a
Filtered Space?
The theme of providing predictable criteria for absolute
continuity and for mutual singularity of two density processes on a filtered probability
space is extensively studied, e.g., in the monograph by J. Jacod and A. N. Shiryaev [JS].
While the issue of absolute continuity is settled there in full generality, for the
issue of mutual singularity one technical difficulty remained open ([JS], p210): "We
do not know whether it is possible to derive a predictable criterion (necessary and
sufficient condition) for $P_T'\perp P_T$,...". It turns out that to this question
raised in [JS] which we also chose as the title of this note, there are two answers: on
the negative side we give an easy example, showing that in general the answer is no, even
when we use a rather wide interpretation of the concept of "predictable
criterion". The difficulty comes from the fact that the density process of a
probability measure P with respect to another measure P' may suddenly jump to zero. On the
positive side we can characterize the set, where P' becomes singular with respect to P --
provided this does not happen in a sudden but rather in a continuous way -- as the set
where the Hellinger process diverges, which certainly is a "predictable
criterion". This theorem extends results in the book of J. Jacod and A. N. Shiryaev
[JS].
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27
Working Paper #27, January 1999 (Ini 2)
Walter Schachermayer
Some
Remarks on a Paper of David Kreps
This note is based on the seminal paper of D. Kreps:
Arbitrage and Equilibrium in Economies with Infinitely many Commodities. We give a
negative) solution to a conjecture raised in this paper as well as some remarks commenting
on the results of this paper in view of the more recent literature.
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28
Working Paper #28, January 1999 (Ini 2)
Werner Brannath, Walter Schachermayer
A
Bipolar Theorem for Subsets of $L^0_+(\Om, \Cal F, \P)$.
A consequence of the Hahn-Banach theorem is the classical
bipolar theorem which states that the bipolar of a subset of a locally convex vector pace
equals its closed convex hull. The space $\L$ of real-valued random variables on a
probability space $\OF$ equipped with the topology of onvergence in measure fails to be
locally convex so that -- a priori -- the classical bipolar theorem does not apply. In
this note we show an nalogue of the bipolar theorem for subsets of the positive orthant
$\LO$, if we place $\LO$ in duality with itself, the scalar product now taking values in
$[0, \infty]$. In this setting the order structure of $\L$ plays an important role and we
obtain that the bipolar of a subset of $\LO$ equals its closed, convex and solid hull. In
the course of the proof we show a decomposition lemma for convex subsets of $\LO$ into a
``bounded" and ``hereditarily unbounded" part, which seems interesting in its
own right.
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29
Working Paper #29, January 1999 (Ini 1 and Ini 3)
Andreas Weingessel, Evgenia Dimitriadou, Sara Dolnicar
An
Examination Of Indexes For Determining The Number Of Clusters In Binary Data Sets
An examination of 14 indexes for determining the number of
clusters is conducted on artificial binary data sets being generated
according to various design factors. To provide a variety of clustering solutions the data
sets are analyzed by different non hierarchical clustering methods. The purpose of the
paper is to present the performance and the ability of an index to detect the
proper number of clusters in a binary data set under various conditions and different
difficulty levels.
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30
Working Paper #30, March 1999 (Ini 2)
Leopold Sögner, Johann Mitlöhner
Consistent
Expectations Equilibria and Learning in a Stock Market
In this article we investigate the question whether the
highly demanding informative requirements of rational expectations models are necessary to
derive equilibria within capital market models. In the analysis agents are only provided
with publicly available information such as prices and dividends. Nevertheless, we require
that agents should behave like econometricians. Additionally, we skip the assumption of
rational expectations models that agents know the implied law of motion of the system. By
these assumptions, the stock market can be considered as a Sorger-Hommes consistent
expectations model. In this article, we show the existence of consistent expectations
equilibria with myopic agents, where the only CEE is the rational expectations
equilibrium. In the simulation part we demonstrate how the steady state CEE can be derived
by means of sample autocorrelation learning. Thus, we are able to derive a stock market
equilibrium with less demanding requirements, where this equilibrium is equal to the
rational expectations equilibrium.
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31
Working Paper #31, April 1999 (Ini 1)
Evgenia Dimitriadou, Andreas Weingessel and Kurt Hornik
A
Voting-Merging Clustering Algorithm
In this paper we propose an unsupervised voting-merging
scheme that is capable of clustering data sets, and also of finding the number of
clusters existing in them. The voting part of the algorithm allows us to combine several
runs of clustering algorithms resulting in a common partition. This helps us to
overcome instabilities of the clustering algorithms and to improve the ability to find
structures in a data set. Moreover, we develop a strategy to understand, analyze
and interpret these results. In the second part of the scheme, a merging procedure
starts on the clusters resulting by voting, in order to find the number of clusters in the
data set.
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32
Working Paper #32, April 1999 (Ini 3)
Harald Hruschka
ANNAM
An Artificial Neural Net Attraction Model to Analyze Market Shares
The marketing literature so far only considers attraction
models with strict functional forms. Greater flexibility can be achieved by the neural net
based approach introduced which assesses brands' attraction values by means of a
perceptron with one hidden layer. Using log-ratio transformed market shares as dependent
variables stochastic gradient descent followed by a quasi-Newton method estimates
parameters. For store-level data the neural net model performs better and implies a price
response qualitatively different from the well-known MNL attraction model. Price
elasticities of these competing models also lead to specific managerial implications.
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33
Working Paper #33, May 1999 (Ini 6)
Jesus Crespo-Cuaresma, Gerhard Sorger
a-Consistent
Expectations Equilibria
We modify the concept of consistent expectations equilibria
introduced in Hommes and Sorger (1998) in two ways:
(i) the consistency conditionrequires that the probability that the agents reject their
perceived law of motion in any period does not exceed a given level and
(ii) there may exist exogenous stochastic shocks. The concept is illustrated by two
examples using a linear economic system. In one of the examples consistency implies
expectations, in the other example it does not.
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34
Working Paper #34, May 1999 (Ini 6)
Engelbert Dockner, Peter Harold
Die
Bedeutung von Volatilitätsprognosen, Verteilungsschätzungen und Portfoliobewertung im
Rahmen von Value at
Risk-Modellen
Das Konzept Value at Risk (VaR) scheint sich als Standard
im Rahmen von internen Risikomanagementmodellen in der Praxis durchzusetzen. Als
quantitatives Risikomaß setzt es sich aus einem Volatilitätsmaß, der Modellierung von
Verteilungen von Wertpapierrenditen und einem Bewertungsmodell zusammen. Die vorliegende
Arbeit untersucht nun empirisch welche Bedeutung diese Komponenten für den VaR eines
einfachen Aktienportefeuilles haben. Dabei zeigt sich, daß die Wahl des
Volatilitätsmaßes keinen signifikanten Einfluß auf die Ermittlung des VaR für ein
Aktienportefueille hat. Sowohl die Annahme über die Verteilung der Aktienrenditen als
auch der Bewertungsansatz mit dem das Aktienportefeuille abgebildet wird, können
gravierende Änderungen im VaR nach sich ziehen. Dieses Ergebnis läßt daher den Schluß
zu, daß bei der Ermittlung der Eigenkapitalvorsorge im Rahmen der
Kapitaladäquanzrichtlinie die Wahl des geeigneten Bewertungsmodells als auch der
Verteilungsfunktion von großer Bedeutung sind.
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35
Working Paper #35, May 1999 (Ini 5)
Alfred Taudes, Martin Natter, Markus Schauerhuber
Evaluation
and Analysis of Total Flexibility in the Production Using Monte Carlo Simulation
Nearly unpredictable turbulence on an overall economic
level, radical changes in the legal framework and a shift in the moral concepts prevailing
in the general public emphasize the importance of increased corporate flexibility.
Usually, most flexibility measurements suffer from the defect that they are not pecuniary,
that interactions between different flexibility dimensions are not considered and that
they lack the required relatedness to the respective context. These problems contribute to
a large extent to the fact that, when making investment decisions, the value of
flexibility is considered but intuitively or insufficiently. Frequently, the results are
irrational myopic pseudo decisions. The present work can be regarded as an attempt to
design a pecuniary and context-related flexibility measure of three single flexibility
dimensions in an extremely simplified framework and under restrictive assumptions. The
primary method used is Monte Carlo Simulation. The present study shows that the value of
flexibility can be substantive and that taking into account the interactions of various
single flexibilities when strategic investments are made can be of great importance. In
this paper, we work out the connection between "environmental volatility" and
the "value of flexibility". Our work shows a numerically strong positive
relation between these two properties.
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36
Working Paper #36, May 1999 (Ini 6)
Suresh P. Sethi, Gerhard Sorger, Xun Yu Zhou
Stability
of Real-Time Lot-Scheduling and Machine Replacement Policies with Quality Levels
In this note we show how the main result of Lou et al. can
be generalized to an unreliable machine with various quality levels. We consider a single
machine which can process parts of different types. The machine can process at most one
part at a time and it needs a setup period whenever it switches from one part-type to
another. Parts enter the system in type-specific input rates and require type-specific
processing times. The quality of the machine deteriorates according to a continuous-time
Markov process and the only way to improve the quality is by replacing the machine by a
new one. We postulate a simple form of real-time replacement and scheduling policies, and
derive conditions ensuring the stability of the system under these policies.
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37
Working Paper #37, May 1999 (Ini 1 and Ini 3)
Adrian Trapletti, Friedrich Leisch, Kurt Hornik
On
the Ergodicity and Stationarity of the ARMA(1,1) Recurrent Neural Network Process
In this note we consider the autoregressive moving average
recurrent neural network ARMA-NN(1,1) process. We show that
in contrast to the pure autoregressive process simple ARMA-NN processes exist which are
not irreducible. We prove that the
controllability of the linear part of the process is sufficient for irreducibility. For
the irreducible process essentially the shortcut weight corresponding to the
autoregressive part determines whether the overall process is ergodic and stationary.
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38
Working Paper #38, May 1999 (Ini 5)
Alfred Taudes, Markus Feurstein, Andreas Mild
How Option Thinking can Improve Software
Platform Decisions
In recent years, the use of option pricing models to
support IT investment deci-sions has been proposed in the MIS literature. In this paper,
we discuss the practical ad-vantages of such techniques for the selection of a software
platform. First, we argue that traditional quantitative approaches to a cost-benefit
analysis give only a partial picture of such decision situations: due to the long planning
horizon required because of the time-consuming and resource-intensive implementation
process, it is not possible to exactly pre-dict which applications will, in fact, run on
the system over time. Thus, the investor is faced with the problem of valuing
implementation opportunities. We then compare different valuation techniques
for this task and discuss their respective advantages and drawbacks. The practical
advantages of em-ploying such models are demonstrated by describing a real-life case study
where option pricing mod-els were used for deciding whether to continue employing SAP R/2
or to switch to SAP R/3.
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39
Working Paper #39, May 1999 (Ini 6)
Thomas Dangl, Engelbert Dockner, Andrea Gaunersdorfer,
Alexander Pfister, Leopold Sögner, Günter Strobl
Adaptive Erwartungsbildung und
Finanzmarktdynamik
Aufbauend auf einem klassischen Finanzmarktmodell behandeln
wir drei Modellvarianten, die jeweils einen anderen Ansatz der (heterogenen)
Erwartungsbildung von Investoren über künftige Wertpapierpreise in den Vordergrund der
Betrachtungen rücken: das Konzept der konsistenten Erwartungen, das Konzept der 'Adaptive
Belief Systeme' und künstliche Finanzmärkte, wo die Modellierung der Erwartungsbildung
mittels 'Classifier Systemen' erfolgt. Wir untersuchen, welche Auswirkungen diese
unterschiedlichen Mechanismen der Erwartungsbildung auf die Gleichgewichtsdynamik von
Wertpapierkursen haben und vergleichen statistische Eigenschaften von Renditen der mittels
dieser Modelle generierten Kurszeitreihen mit jenen realer Daten.
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40
Working Paper #40, June 1999 (Ini 5)
Markus Feurstein, Martin Natter, Georg Dorffner, Alfred
Taudes
The Tradeoff between Coordination and
Interfering Learning Signals
This paper discusses the formation of organizational
knowledge of boundedly rational Economic agents and studies the necessity of hierarchical
coordination of economic agents. We consider a firm that consists of a management and N
subordinated shops. The problem of the firm is to observe a signal from the environment,
forecast future demands and distribute the correct amount of a good to each of the shops.
There are two uncertainties involved: The aggregate demand follows a Brownian motion and
the distribution of the aggregate demand to the shops varies stochastically. At the
beginning of the simulation the agents are ignorant about their actions. They learn how to
choose their actions by probabilistic update. We study the importance of the
organizational structure as a f function of the uncertainties the agents are facing. It
turns out that there is no need for a management if the environment is purely
deterministic or if only the aggregate demand varies stochastically. However, if the
disaggregate environment is stochastic, the management as a coordinator for the shops
becomes important.
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41
Working Paper #41, June 1999 (Ini 5)
Martin Natter, Markus Feurstein
Individual Level or
Segmentation Based Market Simulation?
In many studies, choice based conjoint analysis is used to
build a market simulator to develop marketing strategies; i.e., shares-of-preference
are taken as market share forecasts. However, conjoint data are collected in
interview situations, which may differ considerably from real shopping behavior. In this
paper, we test the internal and external validity of four commercial choice based conjoint
pricing studies including a total of 43 brands. We use conjoint and sales data to
assess the relative performance of two modern approaches to estimate conjoint parameters:
the segmentation based Latent Class model and the individual level Hierarchical Bayes
approach.Our paper confirms previous results of the internal superiority of the
Hierarchical Bayes approach. The main result of our investigation is that internal
validity does not predict external validity and that Latent Class shows the same
real world performance as Hierarchical Bayes. Both models show an average error of 4.2% in
market share level prediction and a correlation of 69% between conjoint forecasts and real
market shares.
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42
Working Paper #42, June 1999 (Ini 1 and Ini 5)
Andreas Mild, Martin Natter, Michael Trcka, Markus
Feurstein, Christian Merz, Alfred Taudes, Georg Dorffner
New Product Development in the
Artificial Factory
We study the product development process in an artificial
firm using two different incentive schemes (market share/production costs vs. life cycle
return). In the product development process, we compare a trial and error search to the
House of Quality approach. In our study, we focus on tactical decision making within a
stable environment, given resources (production function) and knowledge base. The
knowledge base is represented by neural networks which are trained on the basis of
prototype data. This knowledge is then used in the product development process. We
demonstrate, how production and marketing agents coordinate their actions in order to
produce optimal products with respect to their incentive schemes. Our simulation shows
that coordinating incentive schemes increase the performance of the firm. For a given
incentive scheme, the House of Quality approach always outperformed the trial and error
search. An interesting feature of the HoQ approach lies in the fact that product
improvement is considerably faster compared to the alternative search strategy.
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43
Working Paper #43, July1999 (Ini 5)
Thomas Fent
Adaptive Agents in the House
of Quality
Managing the information flow within a big organization is
a challenging task. Moreover, in a distributed decision-making process conflicting
objectives occur. In this paper, artificial adaptive agents are used to analyze this
problem. The decision makers are implemented as Classifier Systems, and their learning
process is simulated by Genetic Algorithms. To validate the outcomes we compared the
results with the optimal solutions obtained by full enumeration. It turned out that the
genetic algorithm indeed was able to generate useful rules that describe how the decision
makers involved in new product development should react to the requests they are required
to fulfill.
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44
Working Paper #44, September 1999 (Ini 6)
Dockner E.J, Strobl G.
Volatility Forecasts and the Enhancement
of Risk/Return Profiles through Automated Trading Strategies
Traditional approaches to forecast option prices and
implement trading strategies make use of implied volatilities. In a recent paper Noh et
al. [1994] propose a different approach. Based on conditional variance models of the GARCH
type asset returns are used to forecast volatility. These forecasts are then used to
predict future option prices. Using simple trading rules Noh et al. evaluate the
profitability of these forecasts on the basis of the S&P 500 index. In this paper we
take up their approach and apply it to BUND future options traded at LIFFE. We show that
volatility forecasts based on historical returns together with
simple option trading strategies can be implemented in such a way that they result in
above normal profits, even when transaction costs are taken into account.
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45
Working Paper #45, March 1999 (Ini 2)
Robert G. Tompkins
The Three Stages in
Bond Market Development Embryonic, Emerging and Established Markets: A Comparison for
Objective Dispersion Processes and the Implications for Option Pricing
Sorry, no abstract available.
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#
Working Paper #46, April 1999 (Ini 2)
Robert G. Tompkins
The
Austrian Stock Market Comparison of Objective Dispersion Processes and the Implications
for Options Pricing
Sorry, no abstract available.
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47
Working Paper #47, May 1999 (Ini 2)
Robert G. Tompkins
Established vs. Emerging Stock
Index Futures Markets: A Comparison of Dispersion Processes and the Implications for
Option Pricing
Sorry, no abstract available.
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48
Working Paper #48, June 1999 (Ini 2)
Robert G. Tompkins
Non-Linear Exotic Contigent
Claims: The Power Option
Sorry, no abstract available.
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49
Working Paper #49, July 1999 (Ini 2)
Robert G. Tompkins
Implied Volatility Surfaces:
Uncovering Regularities for Options on Financial Futures
Sorry, no abstract available.
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50
Working Paper #50, (Ini 5)
Natter Martin, Feurstein Markus
Improving Predictive Validity
of Choice-Based Conjoint Models
Up to date, it is unclear how Choice-Based Conjoint (CBC)
models perform in terms of forecasting (external) real world aggregate shop data. In this
contribution, we measure the performance of a Latent Class CBC model - not with an
experimental holdout sample - but with aggregate real world scanning data. We find that
the CBC model does not accurately predict real world market shares. In order to improve
the forecasting performance, we propose a correction scheme based on external scanner
data. Our analysis based on 8 brands shows that the use of the proposed correction vector
improves the performance measure considerably.
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51
Working Paper #51, August 1999 (Ini 1)
Friedrich Leisch
Bagged Clustering
A new ensemble method for cluster analysis is introduced,
which can be interpreted in two different ways: As complexity-reducing preprocessing stage
for hierarchical clustering and as combination procedure for several partitioning results.
The basic idea is to locate and combine structurally stable cluster centers and/or
prototypes. Random effects of the training set are reduced by repeatedly training on
resampled sets (bootstrap samples). We discuss the algorithm both from a more
theoretical and an applied point of view and demonstrate it on several data sets.
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52
Working Paper #52, August 1999 (Ini 1)
Adrian Trapletti, Alois Geyer, Friedrich Leisch
Cointegration and Exchange Market
Efficiency: An Analysis of High Frequency Data
A cointegration analysis on a triangle of high frequency
exchange rates is presented. Market efficiency requires the triangle to be cointegrated
and the cointegration term to be a martingale difference sequence. We find empirical
evidence against market efficiency for very short time horizons:
The cointegration term does not behave like a martingale difference sequence. In an
out-of-sample forecasting study the cointegrated vector autoregressive (VAR) model is
found to be superior to the naive martingale. Finally, a simple trading strategy shows
that the VAR also has a significant forecast value in economic terms even after accounting
for transaction costs.
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53
Working Paper #53, August 1999 (Ini 1)
Markus Orasch, Friedrich Leisch and Andreas
Weingessel
On specifying Correlation Matrices for
Binary Data.
We are interested in generating binary data via specifying
the marginals and the correlation matrix only. However, from a practical point of view it
is not obvious how to construct such a matrix, since it has to be positive (semi-)
definite and satisfy some special conditions as well. Hence, using R, a free
implementation of the S statistical language, we give a graphical interface to input
specific marginals and correlations and to change the given `not working' correlation
matrix to a possibly `working' one.
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54
Working Paper #54, August 1999 (Ini 1)
Häfke Christian, Leopold Sögner
Asset Pricing under Asymmetric
Information
This article investigates the impacts of asymmetric
information within a Lucas (1978) asset pricing economy. Asymmetry enters via the
assumption that one group of agents is equipped with superior information about the
dividend process. The agents maximize their lifetime utility of the underlying consumption
process obtained from the agents' budget constraints, where the agents have the
opportunity to invest in a risk asset to transfer income from the current to future
periods. Since a closed form solution for the market price cannot be derived analytically,
projection methods are applied, as described in Judd (1998), to approximate the
expectation integrals in the agents' Euler equation. We derive the result that the
informed trader only clearly improves his situation as compared to the non-trade situation
if the uninformed trader only observes his own endowment but not the endowment of the
informed trader. In the case where agents observe each others' endowment trade never
results in a Pareto improvement.
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55
Working Paper #55, October 1999 (Ini 5)
Fent
Using Genetics Based Machine Learning to
find Strategies for Product Placement in a dynamic Market
In this paper we discuss the necessity of models including
complex adaptive systems in order to eliminate the shortcomings of
neoclassical models based on equilibrium theory.A simulation
model containing artificial adaptive agents is used to explore the dynamics of a market of
highly replaceable products. A population consisting of two classes of agents is
implemented to observe if methods provided by modern computational intelligence can help
finding a meaningful strategy for product placement. During several simulation runs it
turned out that the agents using CI-methods outperformed their competitors.
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56
Working Paper #56, October 1999 (Ini 2)
Steinberger, Zinner
Controllability of Dicrete-Time Two
Dimensional Single Input Recurrent Neural Networks
This paper presents a complete characterisation of
controllability and reachability for the class of discrete-time recurrent neural
networks with state space dimension two and single input.
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57
Working Paper #57, October 1999 (Ini 2, Ini 6)
Pötzelberger, Sögner
Sample Autocorrelation Learning in a
Capital Market Model
In this article we show that the claim that adaptive agent models and REE model result in
the same limit behavior cannot by accepted in general, even in a simple capital market
model, where the agents apply sample autocorrelation learning to perform their forecasts.
We analytically derive a sufficient condition for convergence, and check this result by
means of simulations. The price sequence as well as the sequence of parameters - estimated
by means of sample autocorrelation learning - converge, if the initial value of the price
sequence is sufficiently close to the steady-state equilibrium, and a random variable
derived from the dividend process is not too volatile to skip the price trajectory out of
the attracting region. Therefore, the market price can even diverge, and the region of
convergence could become very small depending on the underlying parameters. Therefore, the
often claimed coincidence of adaptive agents models and ration agent models cannot be
observed even in a simple capital market model.
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58
Working Paper #58, October 1999 (Ini 2)
Hubalek, Schachermayer
The Limitations of No-Arbitrage
Arguments for Real Options
We consider an option c which is contingent on an
underlying {tilde S} that is not a traded asset. This situation typically arises in the
context of real options. We investigate the situation when there is a ``surrogate`` traded
asset S whose price process is highly correlated with that of {tilde S}. An illustration
would be the cases where S and {tilde S} model two different brands of crude oil. The main
result of the paper shows that in this case one cannot draw any non-trivial conclusions on
the price of the option by only using no arbitrage arguments.
In a second step we try to isolate hedging strategies on the traded asset S which minimize
the variance of the hedging error. We show in particular, that the naive strategy of
simply replacing {tilde S} by S fails to be optimal and we are able to quantify how far it
is from being optimal.
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59
Working Paper #59, December 1999 (Ini 3)
Buchta
Modeling Market Scemarios for Simulation
Studies on the Joint Segmentation and Positioning Problem
Mazanec, in Baier and Mazanec (1999), suggests a simulation
environment for studying joint segmentation/positioning strategies for brands competing in
a product class. The simulation operates on three-way data: consumers rate the set of
brands on a set of dimensions, compare their perceptual brand profiles to their
preferential profile, and make a choice. In the present paper a
modeling framework for generation of such market data is suggested. First models of
consumers perceptual/preferential positions are discussed. Second a model linking brand
perceptions to consumers is suggested where the degree of perceptual competition between
brands is explicitly modeled. Third a model linking consumers perceptions and preferences
completes the data model from
which a simulation can depart.
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60
Working Paper #60, October 1999 (Ini 1, Ini 3)
Baier, Mazanec
The SIMSEG Project: A Simulation
Environment for Market Segmentation and Positioning Strategies
A simulation environment for exploring analytical tools and
joint segmentation and brand positioning strategies is tailored to comply with the
perceptions-based approach to market segmentation. The initial version contains a number
of ad hoc segmentation strategies. It also indicates how the strategy agents in a more
fully elaborated version may autonomously decide on their selection of target segments and
brand profiles. With a reasonably sized parameter set the SIMSEG brands are subject to
perceptual dynamics that respect the basic principles of attribute learning through
advertising and promotion. SIMSEG is conceived for interfacing with an Artificial Factory
simulation background where the consumers' fuzzy perceptions of rivaling brands are
translated into physical or functional characteristics.
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