BLACK–SCHOLES REPRESENTATION FOR ASIAN OPTIONS

Asian options are securities with a payoff that depends on the average of the underlying stock price over a certain time interval. We identify three natural assets that appear in pricing of the Asian options, namely a stock S, a zero coupon bond B^T with maturity T, and an abstract asset A (an “average asset”) that pays off a weighted average of the stock price number of units of a dollar at time T. It turns out that each of these assets has its own martingale measure, allowing us to obtain Black–Scholes type formulas for the fixed strike and the floating strike Asian options. The model independent formulas are analogous to the Black–Scholes formula for the plain vanilla options; they are expressed in terms of probabilities under the corresponding martingale measures that the Asian option will end up in the money. Computation of these probabilities is relevant for hedging. In contrast to the plain vanilla options, the probabilities for the Asian options do not admit a simple closed form solution. However, we show that it is possible to obtain the numerical values in the geometric Brownian motion model efficiently, either by solving a partial differential equation numerically, or by computing the Laplace transform. Models with stochastic volatility or pure jump models can be also priced within the Black–Scholes framework for the Asian options.     

The market valuation of ethical assets in Spain: an application of the hedonic pricing method

The aim of this paper is to calculate the market valuation of non‐financial characteristics, namely, the social responsibility criteria (social, ethical and environmental) included in the Spanish Socially Responsible Investment Funds. The hedonic price method is applied for this purpose. This method relates the price of Socially Responsible Investment Funds with both financial and social responsibility characteristics. Because of the large number of social responsibility characteristics included in these funds, prior to application of the hedonic price method, the principal components factor analysis technique is used. The data are taken from the prospectus for each fund and from the data provided by the National Securities Market Commission. Results indicate that the Spanish market is sensitive to the social responsibility practices of companies. In particular, the market value practices related to environmental sustainability, the enforcement of labour rights, sustainable production and consumption and non‐abusive market practices.     

The Innovative Behavior of Spanish Enterprises and Its Impact on Salaries

Our aim was to analyze the effects of firms' innovative behavior on their employees' salaries in the Spanish manufacturing industry. We found a premium in the wage paid by innovative firms, regardless of size. However, when taking company size into account, we found that the effect of innovations was greater in small-medium enterprises (SME), contrary to what was expected. The inferences of the models estimated suggest that the higher the market concentration the weaker the appropriability regime, especially for SMEs. However, at the same time, a firm's innovations reduce the impact of market concentration on wages, making innovating firms more autonomous than non-innovating ones. Even more, to be able to innovate, firms have to isolate their employees' salaries from the product market. These results hold regardless of firm's size, but have a greater impact on the small-medium group of firms. Finally, our analysis backs the assumption that salaries in both large and small-medium firms are generated by two distinct economic regimes, supporting the proposition that an SME is not simply a scaled-down large firm.     

Increasing a brand’s competitive clout: the role of market share,consumer preference,and price sensitivity

The market power (or ‘competitive clout’) of a brand is an increasingly important component of modern marketing strategies. However, the factors that enhance a brand’s competitive clout (BCC) are poorly understood. This study therefore suggests an integrated model of BCC and three factors that are proposed to play a role in its formation: (i) consumer price sensitivity; (ii) brand market share; and (iii) consumer brand preferences. These variables are examined both individually and simultaneously to demonstrate the direct effect of each on BCC and how their inter-relationships contribute to BCC. In doing so, a two-step empirical analysis is conducted. First, two multinomial logit models provide an own- and a cross-price response matrix for a chosen set of competitive brands. Secondly, BCC is regressed against the variables of market share, intrinsic preferences, and price sensitivity using an interaction effects regression model. The results of the analysis show that market share is not the only way to increase BCC; in particular, consumer preferences, and especially pricing decisions, are shown to play a key role in developing a strong brand.     

Liquidity determination in an order-driven market

We exploit full order level information from an electronic FX broking system to provide a comprehensive account of the determination of its liquidity. We not only look at bid-ask spreads and trading volumes, but also study the determination of order entry rates and depth measures derived from the entire limit order book. We find strong predictability in the arrival of liquidity supply/demand events. Further, in times of low (high) liquidity, liquidity supply (demand) events are more common. In times of high trading activity and volatility, the ratio of limit to market order arrivals is high but order book spreads and depth deteriorate. These results are consistent with market order traders having better information than limit order traders.     

Can Operating Leverage Be the Cause of the Value Premium?

Recent theoretical models (Carlson, Fisher, and Giammarino, 2004) predict an association between the book-to-market equity ratio (BE/ME) and operating leverage in the cross-section. Consistent with these models, we find a positive association between BE/ME and the degree of operating leverage (DOL), between DOL and stock returns, and between DOL and systematic risk. Overall, our findings provide support for a risk-based explanation for the value premium that is consistent with existing theoretical models. The evolution of systematic risk associated with firm-level investment activity, rather than financial distress, seems to be the main determinant of the value premium.     

Estimation of the equilibrium exchange rate: The CHEER approach

The paper presents the results of an investigation where the concept of a steady-state level of the exchange rate is equated with the capital market equilibrium based on the CHEER approach. The empirical analysis concentrates on Poland, because in this case the assessment of the equilibrium exchange rate is of vital importance. The prospect of the Polish currency joining the ERM2 provokes controversies and requires research into the economic consequences of accession to the EMU. The international transmission mechanisms affecting the Polish economy are identified within the VEqCM framework. The calculations indicate that in the last years of the analyzed sample (i.e. up to December 2006) the zloty/euro exchange rate was slightly overvalued, and the steady-state level was found to have been adjusting to the value of 4.1 zlotys.     

The two-fund separation theorem revisited

This paper resolves two issues regarding the traditional capital asset pricing model with one risk-free asset which seem to have been overlooked in the literature. First, it provides an elementary and complete proof of the two-fund separation theorem which accounts for the fact that asset demand may become undefined if the limiting slopes of the investor’s indifference curves are finite. Second, it shows that an additional limiting condition on investors’ risk aversions is generally necessary to guarantee existence of an equilibrium. Moreover, a generalized existence result is formulated which includes investors who in equilibrium may not invest in risky assets and a simple condition ensuring positive equilibrium asset prices is given.     

Testing for hypothetical bias in willingness to support a reforestation program

This study measures hypothetical bias in CVM-based estimates of willingness to support a forest protection and restoration program in Poland. It does so in two parallel ways: within- and between-subjects. To this end, participants are asked to vote in a referendum on an NGO-led reforestation project for various per-capita cost levels. They do so either directly or, as a surprise continuation, after a hypothetical analogue. Both methods deliver a similar (and substantial) level of hypothetical bias – it is slightly higher, but not significantly so, in the between-subject comparison. This suggests that hypothetical bias in this context is not primarily driven by such factors as consistency seeking or impression management.     

Evolution of global airline strategic alliance and consolidation in the twenty-first century

Global airline strategic alliances have emerged since the late 1980s, and their number has slowly risen through the years. Will the number of such alliances continue to proliferate? Or will airlines consolidate with one another to form mega-carriers? In this paper, the likelihood of various airline consolidation and alliance development possibilities was examined based on a number of high-level trends and forces. The most probable near-term industry alliance and consolidation structure is described, accompanied with a probable path of evolution. These predictions have important implications for managers of strategic alliances, carriers who are currently in an alliance as well as carriers who are planning to join one.