Chebyshev interpolation for parametric option pricing

Recurrent tasks such as pricing, calibration and risk assessment need to be executed accurately and in real time. We concentrate on parametric option pricing (POP) as a generic instance of parametric conditional expectations and show that polynomial interpolation in the parameter space promises to considerably reduce run-times while maintaining accuracy. The attractive properties of Chebyshev interpolation and its tensorized extension enable us to identify broadly applicable criteria for (sub)exponential convergence and explicit error bounds. The method is most promising when the computation of the prices is most challenging. We therefore investigate its combination with Monte Carlo simulation and analyze the effect of (stochastic) approximations of the interpolation. For a wide and important range of problems, the Chebyshev method turns out to be more efficient than parametric multilevel Monte Carlo. We conclude with a numerical efficiency study.     

Gemiddelde en kwadraatsom opnieuw bekeken

In 1952 merkte V an Y zeren [1] in dit tijdschrift op dat in de meeste elementaire leer-boeken de onafhankelijkheid van en s ², berekend uit een aselecte steekproef uit de normale verdeling, niet wordt bewezen.
In net bulletin van de VVS 1975, nr. 8 wijdt ook D e K roon [2] hieraan aandacht.
Om de in laatstgenoemd artikel ontwikkelde gedachtengang nog eens onder de aandacht te brengen met name ook van statistische assistenten en analisten en hun docenten, wordt in deze mededeling de hierna te formuleren stelling tot in details elementair bewezen.     

How do country‐level governance characteristics impact the relationship between R&D and firm value?

This article addresses the question of how country‐level governance characteristics moderate the market valuation of research and development (R&D). Using a valuation model and panel data from companies in the European Union, United States, and Japan, we find that effective corporate governance allows the market to better assess a firm's R&D investments. This finding is the conjunction with the effect of the legal system, the financial system, and mechanisms of control. First, as effectiveness of investor protection increases, the market valuation of R&D projects also increases. Second, more developed financial systems do a better job assessing R&D. Third, effective control mechanisms reinforce the positive effect of R&D on a firm's market value. In sum, our findings shed light on how policymakers can increase the benefits from firms' R&D spending and thus foster economic growth and social welfare using these country‐level governance characteristics.     

Toward a Typology of Family Firm Corporate Entrepreneurship

Family involvement in business creates idiosyncrasies in firm behavior that promote long‐term, often transgenerational, strategic logics that ostensibly align with the motivations and outcomes of corporate entrepreneurship. Interestingly, extant research provides only minimal insight into the heterogeneous nature of corporate entrepreneurship orientations pursued by family firms. To better understand this heterogeneity, we develop a typology of corporate entrepreneurship in family firms providing a reconciliatory approach to this literary diversity and suggest that the varied corporate entrepreneurship orientations of family firms are impacted by the duality of a family's distinct intention to pursue transgenerational succession and capabilities to acquire external knowledge.     

Behaviour‐Based and Outcome‐Based Control Systems: A Meta‐Analytic Study

Sales control systems are instruments used by firms to improve performance and other organizational outcomes. To understand their antecedents and consequences, this paper conducts a meta‐analysis based on 104 studies. The results showed significant relationships between behaviour‐ and outcome‐based control systems and the complexity of the products, bonuses, financial performance, sales innovation, organizational support and satisfaction with supervisors. The outcomes revealed that behaviour‐based control systems were the most effective mechanism in turbulent markets and for determining financial performance. However, outcome‐based control systems were the most efficient instrument for complex products.     

A note on the long rate in factor models of the term structure

In this paper, we consider factor models of the term structure based on a Brownian filtration. We show that the existence of a nondeterministic long rate in a factor model of the term structure implies, as a consequence of the Dybvig–Ingersoll–Ross theorem, that the model has an equivalent representation in which one of the state variables is nondecreasing. For two‐dimensional factor models, we prove moreover that if the long rate is nondeterministic, the yield curve flattens out, and the factor process is asymptotically nondeterministic, then the term structure is unbounded. Finally, we provide an explicit example of a three‐dimensional affine factor model with a nondeterministic yet finite long rate in which the volatility of the factor process does not vanish over time.     

Können Fiskalräte die europäische Schuldenkrise lösen?

This article analyses the role of independent fiscal institutions (IFIs) in dealing with the debt crisis in Europe. IFIs take the role of a fiscal watchdog by producing their own (or assessing the government’s) budget and macroeconomic forecast and have recently spread across many industrialized countries. Empirical evidence suggests that IFIs can contribute to solid public finances in conjunction with fiscal rules if these institutions are truly independent, have a clear mandate and access to sufficient resources, as well as a strong media impact.     

Portfolio performance gauging in discrete time using a Luenberger productivity indicator

This paper proposes a pragmatic, discrete time indicator to gauge the performance of portfolios over time. Integrating the shortage function (Luenberger, 1995) into a Luenberger portfolio productivity indicator (Chambers, 2002), this study estimates the changes in the relative positions of portfolios with respect to the traditional Markowitz mean-variance efficient frontier, as well as the eventual shifts of this frontier over time. Based on the analysis of local changes relative to these mean-variance and higher moment (in casu, mean-variance-skewness and mean-variance-skewness-kurtosis) frontiers, this methodology allows to neatly separate between on the one hand performance changes due to portfolio strategies and on the other hand performance changes due to the market evolution. This methodology is empirically illustrated using a mimicking portfolio approach (22 and 23) using US monthly data from January 1931 to August 2007.