Mixed systems with minimal and maximal lifetime variances

We consider the mixed systems composed of a fixed number of components whose lifetimes are i.i.d. with a known distribution which has a positive and finite variance. We show that a certain of the k-out-of-n systems has the minimal lifetime variance, and the maximal one is attained by a mixture of series and parallel systems. The number of the k-out-of-n system, and the probability weights of the mixture depend on the first two moments of order statistics of the parent distribution of the component lifetimes. We also show methods of calculating extreme system lifetime variances under various restrictions on the system lifetime expectations, and vice versa.     

Firms’ innovation performance and the role of the metropolitan location. Evidence from the European periphery

ABSTRACT

This paper assesses the role of metropolitan location in explaining firms’ innovation performance while accounting for other internal and external determinants of innovation. Using micro-level dataset and controlling for firm-specific, sector-specific and region-specific features, we identify a nuanced effect of location within metropolitan areas on the innovative performance of companies The results prove to vary for the different measures of innovation output of firms and in particular there is no metropolitan advantage detected for binary self-declared measures of innovations. The advantage is detected for the count-based quantity of innovation measures which is shown to critically depend on the higher performance of metropolitan-based firms in patenting and licencing. The interlinkages between location and firm-size matter and the results are asymmetric with particular benefits arising for micro-firms in their patenting and licencing.     

The international transmission of bank capital requirements: Evidence from the UK

We use data on UK banks? minimum capital requirements to study the impact of changes to bank-specific capital requirements on cross-border bank loan supply from 1999Q1 to 2006Q4. By examining a sample in which each recipient country has multiple relationships with UK-resident banks, we are able to control for demand effects. We find a negative and statistically significant effect of changes to banks? capital requirements on cross-border lending: a 100 basis point increase in the requirement is associated with a reduction in the growth rate of cross-border credit of 5.5 percentage points. We also find that banks tend to favor their most important country relationships, so that the negative cross-border credit supply response in “core” countries is significantly less than in others. Banks tend to cut back cross-border credit to other banks (including foreign affiliates) more than to firms and households, consistent with shorter maturity, wholesale lending which is easier to roll off and may be associated with weaker borrowing relationships.     

Pricing high-dimensional American options by kernel ridge regression

In this paper, we propose using kernel ridge regression (KRR) to avoid the step of selecting basis functions for regression-based approaches in pricing high-dimensional American options by simulation. Our contribution is threefold. Firstly, we systematically introduce the main idea and theory of KRR and apply it to American option pricing for the first time. Secondly, we show how to use KRR with the Gaussian kernel in the regression-later method and give the computationally efficient formulas for estimating the continuation values and the Greeks. Thirdly, we propose to accelerate and improve the accuracy of KRR by performing local regression based on the bundling technique. The numerical test results show that our method is robust and has both higher accuracy and efficiency than the Least Squares Monte Carlo method in pricing high-dimensional American options.     

Public–private wage differential in a post‐transition economy

In this study, we estimate the public sector wage premium in a post‐transition economy, a quarter of a century since the collapse of the old regime. Our methodology uses a copula method to estimate the switching regression model, which allows for the relaxation of the restrictive assumption of joint normality. We control for employment selection into both sectors using an instrument based on information regarding learned professions. We use data from the Polish Survey of Earnings by Occupations (2012). Contrary to earlier results for Poland, we found positive selection into employment in both sectors, with positive average treatment effect on the treated and negative average treatment effect on the untreated. The results suggest that both private and public sector employees select themselves into the sector in which they earn more than they would in a counterfactual scenario.     

DYNAMIC COHERENT ACCEPTABILITY INDICES AND THEIR APPLICATIONS TO FINANCE

In this paper, we present a theoretical framework for studying coherent acceptability indices (CAIs) in a dynamic setup. We study dynamic CAIs (DCAIs) and dynamic coherent risk measures (DCRMs), and we establish a duality between them. We derive a representation theorem for DCRMs in terms of a so‐called dynamically consistent sequence of sets of probability measures. Based on these results, we give a specific construction of DCAIs. We also provide examples of DCAIs, both abstract and also some that generalize selected classical financial measures of portfolio performance.     

The valuation of American options in a multidimensional exponential Lévy model

We consider the problem of valuation of American options written on dividend‐paying assets whose price dynamics follow a multidimensional exponential Lévy model. We carefully examine the relation between the option prices, related partial integro‐differential variational inequalities, and reflected backward stochastic differential equations. In particular, we prove regularity results for the value function and obtain the early exercise premium formula for a broad class of payoff functions.     

How the UK economy weathered the financial storm

Prior to the global financial crisis of 2008, the UK had the largest banking sector asset to GDP ratio among large countries, and had experienced rapid real property price increases as well as a persistent current account deficit in the preceding decade. These factors, together with its role as an international financial centre, made the UK economy particularly vulnerable to the onset of the global financial crisis. Although the initial drop in real GDP was steep, we provide evidence that the economy has weathered the financial storm better than many feared, and has fared no worse than its peer group of major economies. In this paper we assess the reasons underlying this outcome, including the possibility of exaggerated vulnerabilities, global economic recovery, the flexible supply side of the UK economy, as well as fiscal, financial and monetary policy interventions. Our analysis suggests that all of these factors played a role in cushioning the impact on the UK real economy, leading to a more benign outcome than most observers expected.     

Optimal securitization with moral hazard

We consider the optimal design of mortgage-backed securities (MBS) in a dynamic setting in which a mortgage underwriter with limited liability can engage in costly hidden effort to screen borrowers and can sell loans to investors. We show that (i) the timing of payments to the underwriter is the key incentive mechanism, (ii) the maturity of the optimal contract can be short, and that (iii) bundling mortgages is efficient as it allows investors to learn about underwriter effort more quickly, an information enhancement effect. Finally, we demonstrate that the optimal contract can be closely approximated by the “first loss piece.”     

Too big to fail: Some empirical evidence on the causes and consequences of public banking interventions in the UK

During the 2007–09 financial crisis, the banking sector received an extraordinary level of public support. In this empirical paper, we examine the determinants of a number of public sector interventions: government funding or central bank liquidity insurance schemes, public capital injections, and nationalizations. We use bank-level data spanning all British and foreign banks operating within the United Kingdom. We use multinomial logit regression techniques and find that a bank's size, relative to the size of the entire banking system, typically has a large positive and non-linear effect on the probability of public sector intervention for a bank. We also use instrumental variable techniques to show that British interventions helped; there is fragile evidence that the wholesale (non-core) funding of an affected institution increased significantly following capital injection or nationalization.