Working paper series / Johann-Wolfgang-Goethe-Universität Frankfurt am Main, Fachbereich Wirtschaftswissenschaften : Finance & Accounting
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136, Versi
Tests for the existence and the sign of the volatility risk premium are often based on expected option hedging errors. When the hedge is performed under the ideal conditions of continuous trading and correct model specification, the sign of the premium is the same as the sign of the mean hedging error for a large class of stochastic volatility option pricing models. We show, however, that the problems of discrete trading and model mis-specification, which are necessarily present in any empirical study, may cause the standard test to yield unreliable results.
140
When options are traded, one can use their prices and price changes to draw inference about the set of risk factors and their risk premia. We analyze tests for the existence and the sign of the market prices of jump risk that are based on option hedging errors. We derive a closed-form solution for the option hedging error and its expectation in a stochastic jump model under continuous trading and correct model specification. Jump risk is structurally different from, e.g., stochastic volatility: there is one market price of risk for each jump size (and not just \emph{the} market price of jump risk). Thus, the expected hedging error cannot identify the exact structure of the compensation for jump risk. Furthermore, we derive closed form solutions for the expected option hedging error under discrete trading and model mis-specification. Compared to the ideal case, the sign of the expected hedging error can change, so that empirical tests based on simplifying assumptions about trading frequency and the model may lead to incorrect conclusions.
138
This paper deals with the superhedging of derivatives and with the corresponding price bounds. A static superhedge results in trivial and fully nonparametric price bounds, which can be tightened if there exists a cheaper superhedge in the class of dynamic trading strategies. We focus on European path-independent claims and show under which conditions such an improvement is possible. For a stochastic volatility model with unbounded volatility, we show that a static superhedge is always optimal, and that, additionally, there may be infinitely many dynamic superhedges with the same initial capital. The trivial price bounds are thus the tightest ones. In a model with stochastic jumps or non-negative stochastic interest rates either a static or a dynamic superhedge is optimal. Finally, in a model with unbounded short rates, only a static superhedge is possible.
111
What constitutes a financial system in general and the German financial system in particular?
(2003)
This paper is one of the two introductory chapters of the book "The German Financial System". It first discusses two issues that have a general bearing on the entire book, and then provides a broad overview of the German financial system. The first general issue is that of clarifying what we mean by the key term "financial system" and, based on this definition, of showing why the financial system of a country is important and what it might be important for. Obviously, a definition of its subject matter and an explanation of its importance are required at the outset of any book. As we will explain in Section II, we use the term "financial system" in a broad sense which sets it clearly apart from the narrower concept of the "financial sector". The second general issue is that of how financial systems are described and analysed. Obviously, the definition of the object of analysis and the method by which the object is to be analysed are closely related to one another. The remainder of the paper provides a general overview of the German financial system. In addition, it is intended to provide a first indication of how the elements of the German financial system are related to each other, and thus to support our claim from Section II that there is indeed some merit in emphasising the systemic features of financial systems in general and of the German financial system in particular. The chapter concludes by briefly comparing the general characteristics of the German financial system with those of the financial systems of other advanced industrial countries, and taking a brief look at recent developments which might undermine the "systemic" character of the German financial system.
116
Capital rationing is an empirically well-documented phenomenon. This constraint requires managers to make investment decisions between mutually exclusive investment opportunities. In a multiperiod agency setting, this paper analyses accounting rules that provide managerial incentives for efficient project selection. In order to motivate a shortsighted manager to expend unobservable effort and to make efficient investment decisions, the principal sets up an incentive scheme based on residual income (e.g. EVATM). The paper shows that income smoothing generates a trade-off between agency costs resulting from differences in discount rates and the costs associated with the "congruity" of residual earnings.
110
An economy in which deposit-taking banks of a Diamond/ Dybvig style and an asset market coexist is modelled. Firstly, within this framework we characterize distinct financial systems depending on the fraction of households with direct investment opportunities that are less efficient than those available to banks. With this fraction comparatively low, the evolving financial system can be interpreted as market-oriented. In this system, banks only provide efficient investment opportunities to households with inferior investment alternatives. Banks are not active in the secondary financial market nor do they provide any liquidity insurance to their depositors. Households participate to a large extent in the primary as well as in the secondary financial markets. In the other case of a relatively high fraction of households with inefficient direct investment opportunities, a bank-dominated financial system arises, in which banks provide liquidity transformation, are active in secondary financial markets and are the only player in primary markets, while households only participate in secondary financial markets. Secondly, we analyze the effect a run on a single bank has on the entire financial system. Interestingly, we can show that a bank run on a single bank causes contagion via the financial market neither in market-oriented nor in extremely bank-dominated financial systems. But in only moderately bank-dominated (or hybrid) financial systems fire sales of long-term financial claims by a distressed bank cause a sudden drop in asset prices that precipitates other banks into crisis.
102
Open source projects produce goods or standards that do not allow for the appropriation of private returns by those who contribute to their production. In this paper we analyze why programmers will nevertheless invest their time and effort to code open source software. We argue that the particular way in which open source projects are managed and especially how contributions are attributed to individual agents, allows the best programmers to create a signal that more mediocre programmers cannot achieve. Through setting themselves apart they can turn this signal into monetary rewards that correspond to their superior capabilities. With this incentive they will forgo the immediate rewards they could earn in software companies producing proprietary software by restricting the access to the source code of their product. Whenever institutional arrangements are in place that enable the acquisition of such a signal and the subsequent substitution into monetary rewards, the contribution to open source projects and the resulting public good is a feasible outcome that can be explained by standard economic theory.
115
Under a new Basel capital accord, bank regulators might use quantitative measures when evaluating the eligibility of internal credit rating systems for the internal ratings based approach. Based on data from Deutsche Bundesbank and using a simulation approach, we find that it is possible to identify strongly inferior rating systems out-of time based on statistics that measure either the quality of ranking borrowers from good to bad, or the quality of individual default probability forecasts. Banks do not significantly improve system quality if they use credit scores instead of ratings, or logistic regression default probability estimates instead of historical data. Banks that are not able to discriminate between high- and low-risk borrowers increase their average capital requirements due to the concavity of the capital requirements function.
106
This paper is a draft for the chapter German banks and banking structure of the forthcoming book The German financial system . As such, the paper starts out with a description of past and present structural features of the German banking industry. Given the presented empirical evidence it then argues that great care has to be taken when generalising structural trends from one financial system to another. Whilst conventio nal commercial banking is clearly in decline in the US, it is far from clear whether the dominance of banks in the German financial system has been significantly eroded over the last decades. We interpret the immense stability in intermediation ratios and financing patterns of firms between 1970 and 2000 as strong evidence for our view that the way in which and the extent to which German banks fulfil the central functions for the financial system are still consistent with the overall logic of the German financial system. In spite of the current dire business environment for financial intermediaries we do not expect the German financial system and its banking industry as an integral part of this system to converge to the institutional arrangements typical for a market-oriented financial system. This Version: March 25, 2003
121
Asset-backed securitisation (ABS) is an asset funding technique that involves the issuance of structured claims on the cash flow performance of a designated pool of underlying receivables. Efficient risk management and asset allocation in this growing segment of fixed income markets requires both investors and issuers to thoroughly understand the longitudinal properties of spread prices. We present a multi-factor GARCH process in order to model the heteroskedasticity of secondary market spreads for valuation and forecasting purposes. In particular, accounting for the variance of errors is instrumental in deriving more accurate estimators of time-varying forecast confidence intervals. On the basis of CDO, MBS and Pfandbrief transactions as the most important asset classes of off-balance sheet and on-balance sheet securitisation in Europe we find that expected spread changes for these asset classes tends to be level stationary with model estimates indicating asymmetric mean reversion. Furthermore, spread volatility (conditional variance) is found to follow an asymmetric stochastic process contingent on the value of past residuals. This ABS spread behaviour implies negative investor sentiment during cyclical downturns, which is likely to escape stationary approximation the longer this market situation lasts.