No-arbitrage in Discrete-time Markets with Proportional Transaction Costs and General Information structure

We discuss the no-arbitrage conditions in a general framework for discrete-time models of financial markets with proportional transaction costs and general information structure. We extend the results of Kabanov et al. (Finance Stoch 6(3):371–382, 2002; Finance Stoch 7(3):403–411, 2003) and Schachermayer (Math Finance 14(1):19–48, 2004) to the case where bid-ask spreads are not known with certainty. In the “no-friction” case, we retrieve the result of Kabanov and Stricker (Preprint 2003). Additionally, we propose a new modelization based on simple orders which appears to be powerful whatever the information structure is.     

Analytical approximations for the critical stock prices of American options: a performance comparison

Many efficient and accurate analytical methods for pricing American options now exist. However, while they can produce accurate option prices, they often do not give accurate critical stock prices. In this paper, we propose two new analytical approximations for American options based on the quadratic approximation. We compare our methods with existing analytical methods including the quadratic approximations in Barone-Adesi and Whaley (J Finance 42:301–320, 1987) and Barone-Adesi and Elliott (Stoch Anal Appl 9(2):115–131, 1991), the lower bound approximation in Broadie and Detemple (Rev Financial Stud 9:1211–1250, 1996), the tangent approximation in Bunch and Johnson (J Finance 55(5):2333–2356, 2000), the Laplace inversion method in Zhu (Int J Theor Appl Finance 9(7):1141–1177, 2006b), and the interpolation method in Li (Working paper, 2008). Both of our methods give much more accurate critical stock prices than all the existing methods above.     

Can long-term performance plans mitigate the negative effects of stock consideration and high cash for acquirers?

Following Travlos (J Finance 42: 943–963, 1987), Loughran and Vijh (J Finance 52: 1765–1790, 1997), Harford (J Finance 54: 1969–1997, 1999), and Oler (Rev Acc Stud 13: 479–511, 2008), we investigate whether acquisitions involving stock consideration and acquirers with high cash levels are associated with poor performance or not. In addition, we investigate whether including a long-term performance plan in top management’s compensation package can mitigate these negative effects. We find that acquirers with a long-term performance plan are less likely to hold a high cash balance and are less likely to use stock consideration, thus avoiding scenarios that are more likely to be value-destructive. Even if an acquirer with a long-term performance plan carries a high cash balance or uses stock, we find that the plan is associated with improved fundamental performance; however, this relationship does not flow through to improved post-acquisition returns.     

Principles of smooth and continuous fit in the determination of endogenous bankruptcy levels

We revisit the previous work of Leland [J Finance 49:1213–1252, 1994], Leland and Toft [J Finance 51:987–1019, 1996] and Hilberink and Rogers [Finance Stoch 6:237–263, 2002] on optimal capital structure and show that the issue of determining an optimal endogenous bankruptcy level can be dealt with analytically and numerically when the underlying source of randomness is replaced by that of a general spectrally negative Lévy process. By working with the latter class of processes we bring to light a new phenomenon, namely that, depending on the nature of the small jumps, the optimal bankruptcy level may be determined by a principle of continuous fit as opposed to the usual smooth fit. Moreover, we are able to prove the optimality of the bankruptcy level according to the appropriate choice of fit.      

Trading strategies generated pathwise by functions of market weights

Finance and Stochastics - Twenty years ago, E.R. Fernholz introduced the notion of “functional generation” to construct a variety of portfolios solely in terms of the individual...     

Foreign currency bubbles

This paper develops a new model for studying foreign currency exchange rate bubbles. The model constructed is a modification of the martingale based bubble approach of Jarrow et al. (Adv Math Finance 105–130, 2006; Math Finance 20(2):145–185, 2008). This model generates some new insights into our understanding of exchange rate bubbles and it can be utilized empirically to test for their existence. The new insights are: (1) exchange rate bubbles can be negative, in contrast to asset price bubbles, (2) exchange rate bubbles are caused by price level bubbles in either or both of the relevant countries’ currencies, and (3) price level bubbles decrease the expected inflation rate in the domestic economy.     

A pure martingale dual for multiple stopping

In this paper, we present a dual representation for the multiple stopping problem, hence multiple exercise options. As such, it is a natural generalization of the method in Rogers (Math. Finance 12:271–286, 2002) and Haugh and Kogan (Oper. Res. 52:258–270, 2004) for the standard stopping problem for American options. We term this representation a ‘pure martingale’ dual as it is solely expressed in terms of an infimum over martingales rather than an infimum over martingales and stopping times as in Meinshausen and Hambly (Math. Finance 14:557–583, 2004). For the multiple dual representation, we propose Monte Carlo simulation methods which require only one degree of nesting.     

Risk-neutral and actual default probabilities with an endogenous bankruptcy jump-diffusion model

This paper focuses on historical and risk-neutral default probabilities in a structural model, when the firm assets dynamics are modeled by a double exponential jump diffusion process. Relying on the Leland [(1994a) Journal of Finance, 49, 1213–1252; (1994b) Bond prices, yield spreads, and optimal capital structure with default risk. Working paper no. 240, IBER, University of California, Berkeley] or Leland and Toft [(1996) Journal of Finance, 51(3), 987–1019] endogenous structural approaches, as formalized by Hilberink and Rogers [(2002) Finance and Stochastics, 6(2), 237–263], this article gives a coherent construction of historical default probabilities. The risk-neutral world where evolve the firm assets, modeled by a class of geometric Lévy processes, is constructed based on the Esscher measure, yielding useful and new analytical relations between historical and risk-neutral probabilities. We do a complete numerical analysis of the predictions of our framework, and compare these predictions with actual data. In particular, this new framework displays an enhanced predictive power w.r.t. current Gaussian endogenous structural models.      

On the calibration of structural credit spread models

Empirical findings are mixed about the performance of structural models for term structure of credit spreads. It is commonly believed that all structural models have equally poor performance after calibration. However, proper calibration is not a trivial issue, especially for highly structural models. This paper proposes a more accurate procedure for calibrating two models: Leland–Toft (J Finance 51:987–1019, 1996) and Collin-Dufresne and Goldstein (J Finance 56:2177–2208, 2001). Using rating-based bond data, we find that the Leland–Toft model has significantly greater explanatory power for credit spreads across rating categories than previously reported. We provide theoretical explanations for these findings, and further extend our empirical analysis to include 286 individual senior bonds. Our findings help clarify the controversies over the performance of structural models in general and that of the Leland–Toft model in particular. In addition, we offer a rigorous procedure that can be used for calibrating other structural models more effectively.      

Dynamic optimal hedge ratio design when price and production are stochastic with jump

Annals of Finance - In this paper, we focus on the farmer’s risk income when using commodity futures, when price and output processes are randomly correlated and represented by jump-diffusion...     

Bank business models,negative policy rates,and prudential regulation

Annals of Finance - Using data from Italian banks over the period 2011–2017, we study how negative interest rate policy and prudential regulation impact on bank business models. We report...     

An ODE approach for the expected discounted penalty at ruin in a jump-diffusion model

Under the assumption that the asset value follows a phase-type jump-diffusion, we show that the expected discounted penalty satisfies an ODE and obtain a general form for the expected discounted penalty. In particular, if only downward jumps are allowed, we get an explicit formula in terms of the penalty function and jump distribution. On the other hand, if the downward jump distribution is a mixture of exponential distributions (and upward jumps are determined by a general Lévy measure), we obtain closed-form solutions for the expected discounted penalty. As an application, we work out an example in Leland’s structural model with jumps. For earlier and related results, see Gerber and Landry [Insur. Math. Econ. 22:263–276, 1998], Hilberink and Rogers [Finance Stoch. 6:237–263, 2002], Asmussen et al. [Stoch. Proc. Appl. 109:79–111, 2004], and Kyprianou and Surya [Finance Stoch. 11:131–152, 2007].      

Comparison of Option Prices in Semimartingale Models

In this paper we generalize the recent comparison results of El Karoui et al. (Math Finance 8:93–126, 1998), Bellamy and Jeanblanc (Finance Stoch 4:209–222, 2000) and Gushchin and Mordecki (Proc Steklov Inst Math 237:73–113, 2002) to d-dimensional exponential semimartingales. Our main result gives sufficient conditions for the comparison of European options with respect to martingale pricing measures. The comparison is with respect to convex and also with respect to directionally convex functions. Sufficient conditions for these orderings are formulated in terms of the predictable characteristics of the stochastic logarithm of the stock price processes. As examples we discuss the comparison of exponential semimartingales to multivariate diffusion processes, to stochastic volatility models, to Lévy processes, and to diffusions with jumps. We obtain extensions of several recent results on nontrivial price intervals. A crucial property in this approach is the propagation of convexity property. We develop a new approach to establish this property for several further examples of univariate and multivariate processes.     

Is information risk priced for NASDAQ-listed stocks?

Easley et al. (J Finance 57:2185–2221, 2002), building upon the asset pricing model of Fama and French (J Finance 47:427–465, 1992), show that the probability of informed trading (PIN) is a determinant of asset returns for NYSE-listed securities. We extend this work by examining whether the PIN is a predictive factor for NASDAQ stocks, as many studies document significant differences between NYSE and NASDAQ listed securities. In the process we examine whether the use of PIN is appropriate for NASDAQ-listed securities. We find that PIN and certain stock characteristics correlate differently for our sample of NASDAQ stocks than that of Easley et al. sample of NYSE stocks. We also determine that the risk of informed trading is only weakly priced for NASDAQ stocks. Contrary to Easley et al. we do not find evidence that excess returns increases as PIN increases.     

Chinese Walls in German Banks*

Analysts in a bank’s research department cover firms that have no relationship with the bank as well as companies in which the bank has a strategic interest. Officially, banks must establish Chinese Walls around their research departments to allow the analysts to work independently and to avoid the flow of insider information. We examine analyst behavior under long-term bank-firm relationships using ownership data and analysts’ earnings per share forecasts for German companies from 1994 to 2001. We find evidence that is consistent with analysts reconciling their employers’ interests with their own career concerns. They seem to use their information advantage strategically by releasing favorable and thereby more precise reports when the market underestimates earnings. In order not to jeopardize the bank-client relationship, they suppress negative information when the market is too optimistic. Combining situations where the market over- and underestimates earnings, we can replicate the unconditional positive bias in analyst forecasts found in the previous literature. Despite the bias in affiliated analysts’ forecasts, they nonetheless selectively communicate valuable information to investors. *We gratefully acknowledge the contribution of I/B/E/S International Inc. for providing earnings per share forecast data. This data has been provided as part of a broad academic program to encourage earnings expectations research. We thankfully acknowledge financial support from the Austrian National Bank (OeNB) under the Jubil?umsfonds grant number 8523. We thank Werner Antweiler, Michael Halling, Helmut Elsinger, Evelyn Hayden, Greg Hebb, Cornelia Kullmann, Kai Li, Colin Mayer, Stefan Pichler, Duane Seppi, Alex Stomper, Neal Stoghton, Michael Stutzer, Suresh Sundaresan, Yishay Yafeh, Josef Zechner, Christine Zulehner, an anonymous referee, and seminar participants at UBC, the Northern Finance Association meetings, the Western Finance Association meetings, and the European Finance Association meetings for helpful comments and Eva Smolen for excellent research assistance.     

The critical price for the American put in an exponential Lévy model

This paper considers the behavior of the critical price for the American put in the exponential Lévy model when the underlying stock pays dividends at a continuous rate. We prove the continuity of the free boundary and give a characterization of the critical price at maturity, generalizing a recent result of S.Z. Levendorskiǐ (Int. J. Theor. Appl. Finance 7:303–336, 2004).      

Funds of hedge funds: performance, risk and capital formation 2005 to 2010

Using a comprehensive data set of funds-of-hedge funds, we extend the results of Fung et al. (J. Finance 63:1777–1803, 2008) (FHNR) with an augmented version of the Fung and Hsieh (Financ. Anal. J. 60:65–80, 2004a; J. Empir. Finance 18:547–569, 2004b) model to document performance characteristics from January 2005 to December 2010. We find that our sample period is divided into three distinct subperiods: January 2005 to June 2007 (pre-subprime crisis); July 2007 to March 2009; and April 2009 to December 2010 (post-credit crunch) during which the average fund of hedge funds delivered positive alpha only in the first subperiod. We divide the funds of hedge funds sample into those who have alpha and the rest, which we call beta-only. The empirical results show a dramatic decline in the population of alpha producing funds of hedge funds post 2008 compared to the FHNR findings. When we repeat our analysis with a synthetic hedge fund index replicator, we find qualitatively similar results.     

Stock returns and product market competition: beyond industry concentration

The main purpose of this paper is to provide direct evidence that product market structure affects stock returns. This is not only through industry concentration, as found in Hou and Robinson (J Finance 61:1927–1956, 2006), but also based on firms’ product substitutability and industry market size. Furthermore, the predictive power of product substitutability and market size for stock returns is not subsumed by industry concentration. Our results highlight the multi-dimensional structure of product market competition and its impact on asset prices.     

Advertising intensity,investor recognition,and implied cost of capital

The main purpose of this paper is to test Merton’s (J Finance 42(3):483–510, 1987) hypothesis that better investor recognition is correlated with lower expected returns. We measure investor recognition with the firms’ advertising intensity and offer consistent evidence that higher advertising intensity is associated with lower implied cost of capital, as derived from Value Line target prices and dividend forecasts. Investor recognition plays an important role in attracting investors, improving liquidity, and ultimately reducing the cost of capital. The findings shed light on the capital market implications of advertising expenditures and complement the extant research on investor recognition.