On methods of optimal portfolio construction

The transition from a centrally planned economy to a market economy in Poland has caused dynamic changes in the number and structure of potential investors of the stock exchange market. This phenomenon, unknown in the past, needs a new approach to statistical methods of stock market analysis. The paper presents two methods of optimal portfolio construction. The first one leads to the square programming problem. Applying the Lagrange multipliers, we obtain a system of algebraic equations which can be solved by the special algorithm proposed in the paper. The second method reduces the mentioned above square program to the linear programming problem which can be solved using the simplex method.     

Risk Diversification on the Polish Capital Market

The basics of portfolio management theory and methods of efficient selection of assets and their financing have been created by Markowitz and Sharpe. They propose that risk diversification consists, generally speaking, of the increase in the number of securities in a portfolio. So, authors try to answer the question of how many securities have to be bought on a given market to assure a well-diversified portfolio, where the increase in the number of securities does not lead to a significant decrease in portfolio risk. To evaluate such a purpose on the Polish capital market, 20 companies were surveyed that are included in the WIG20 index in the period January 2–October 10, 2001. The returns were estimated on a weekly basis. The research shows that a portfolio of securities constructed, according to the Sharpe Model, has a wide application to the Polish capital market.*University of Szczecin—Poland. This paper was presented at the Fifty-Eighth InternationalAtlantic Economic Conference, October 6Y9, 2005, Chicago, U.S.A.     

Portfolio optimisation under non-linear drawdown constraints in a semimartingale financial model

A drawdown constraint forces the current wealth to remain above a given function of its maximum to date. We consider the portfolio optimisation problem of maximising the long-term growth rate of the expected utility of wealth subject to a drawdown constraint, as in the original setup of Grossman and Zhou (Math. Finance 3:241–276, 1993). We work in an abstract semimartingale financial market model with a general class of utility functions and drawdown constraints. We solve the problem by showing that it is in fact equivalent to an unconstrained problem with a suitably modified utility function. Both the value function and the optimal investment policy for the drawdown problem are given explicitly in terms of their counterparts in the unconstrained problem.     

Determinants of investment and innovation expenditure in Polish manufacturing industries

This article analyses determinants of sectoral R&D and innovation expenditure as well as investment in Polish manufacturing industries in 1994–2004. The estimated coefficients for user cost of capital are generally in line with the neoclassical model of investment, except for R&D intensity. The latter are primarily discouraged by systemic uncertainty. The rate of growth of sales is not a prominent determinant of investment and innovation expenditure. Market concentration coupled with uncertainty has a damaging effect on physical capital investment but it promotes R&D expenditure and leaves innovation intensity unaltered.     

Credible enough? Forward guidance and perceived National Bank of Poland’s policy rule

Forward guidance effectiveness is conditional upon its credibility. This policy, when taken as credible, should reduce the perceived impact of macroeconomic variables on the interest rate. Using the Taylor rule framework and employing micro-level data set, we test the perception of monetary policy in Poland among professional forecasters. Our results show that the Taylor principle is violated in the forward guidance period, which provides evidence for forward guidance credibility.     

Amplification of shocks at the zero lower bound in a small open and large closed economy

This letter compares the consequences of hitting the zero lower bound in small open and large closed economies. I show that in a large economy shocks are modified by the zero lower bound on interest rate much more than in a small one – as a result, the large economy may suffer more.     

The Role of Coordination Bias in Platform Competition

This paper considers platform competition in a two‐sided market that includes buyers and sellers. One of the platforms benefits from a favorable coordination bias in the market, in that for this platform it is less costly than for the other platform to convince customers that the two sides will coordinate on joining it. We find that the degree of the coordination bias affects the platform's decision regarding the business model (i.e., whether to subsidize buyers or sellers), the access fees, and the size of the platform. A slight increase in the coordination bias may induce the advantaged platform to switch from subsidizing sellers to subsidizing buyers, or induce the disadvantaged platform to switch from subsidizing buyers to subsidizing sellers. Moreover, in such a case the advantaged platform switches from oversupplying to undersupplying sellers, and the disadvantaged platform switches from undersupplying to oversupplying sellers.     

Simulated Negotiation Outcomes Through Recommendation Crowding

The goal of the paper is to propose a method for finding outcomes of negotiations of multiple parties with a multi-criteria decision outcomes evaluation. Firstly, the procedure for reduction of continuous set of options to large but finite crowd of compromise recommendations is presented. Next, the crowd is integrated to a single benchmark which is treated as a proposal of artificial auxiliary player called a lone wolf as presented by Kersten and Szapiro (Proceedings of the international conference of the society of systems and science. Budapest, 1987). The strategy of negotiation with this artificial player is proposed to generate a benchmark evaluations scheme for real negotiation. Finally, a multi-agent simulation approach for multi-lateral negotiation process modeling is presented in order to estimate possible negotiation outcomes.     

Analysis of a network structure of the foreign currency exchange market

We analyse structure of the world foreign currency exchange (FX) market viewed as a network of interacting currencies. We analyse daily time series of FX data for a set of 63 currencies, including gold, silver and platinum. We group together all the exchange rates with a common base currency and study each group separately. By applying the methods of filtered correlation matrix we identify clusters of closely related currencies. The clusters are formed typically according to the economical and geographical factors. We also study topology of weighted minimal spanning trees for different network representations (i.e., for different base currencies) and find that in a majority of representations the network has a hierarchical scale-free structure. In addition, we analyse the temporal evolution of the network and detect that its structure is not stable over time. A medium-term trend can be identified which affects the USD node by decreasing its centrality. Our analysis shows also an increasing role of euro in the world’s currency market.     

Limiting Factors of Foreign Direct Investment Undertaken By Polish Enterprises

Limiting factors of foreign direct investment are of great significance for managers, governments, and scholars as they directly influence the profitability of a foreign subsidiary and a parent multinational company. The aim of the paper is to identify FDI limiting factors of host country location choices among Polish enterprises and differences in the perception of the factors depending on the establishment mode choice, i.e. whether it is through greenfield investments or acquisitions. The paper presents results of a field surveyed carried out in 2012–2013 among Polish companies. The research results revealed that regardless of the establishment mode choice, investors from Poland perceived market-related limiting factors as significant. The empirical findings also proved that there were no significant differences in the perception of the importance of FDI limiting factors, between investors who undertook acquisitions and those who decided to make greenfield investments. However, single cases of differences were identified at the level of the policy framework-related factors.