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.     

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.     

Analysis of a monetary union enlargement in the framework of linear-quadratic differential games

This paper studies the effects of a monetary union enlargement using the techniques and outcomes from an extensive research project on macroeconomic policy coordination in the EMU. Our approach is characterized by two main pillars: (i) linear-quadratic differential games to capture externalities, spillovers and strategic behaviour of (fiscal and monetary) players; and (ii) endogenous coalition formation concepts which enable us to study a creation and stability of different cooperation arrangements. In this paper we focus on the first pillar and construct a multi-player linear-quadratic continuous-time model of 5 countries and 4 central banks to evaluate effects of accession of a new member to an existing MU. Our findings stress the importance of an asymmetric shock confirming basic results of the OCA theory. It comes out that in our setting it is never profitable to enlarge the monetary union when there is a risk of an asymmetric shock. What is more, the potential losses from accession are so high that it can be barely possible to design a transfer system to compensate for a worse situation of some countries.

Bounds on expectations of small order statistics from decreasing density populations

For i > (n + 1)/2, Danielak (Statistics 37:305–324, 2003) established an optimal positive upper mean-variance bound on the expectation of ith order statistic based on the i.i.d. sample of size n from the decreasing density population. We show that the best bounds on the expected deviation of the ith order statistics from the population mean, i ≤ (n + 1)/2, expressed in more general scale units generated by pth absolute central moments with p > 1 amount to zero. We also determine the respective strictly negative bounds in the mean absolute deviation units.     

NO‐ARBITRAGE PRICING FOR DIVIDEND‐PAYING SECURITIES IN DISCRETE‐TIME MARKETS WITH TRANSACTION COSTS

We prove a version of First Fundamental Theorem of Asset Pricing under transaction costs for discrete‐time markets with dividend‐paying securities. Specifically, we show that the no‐arbitrage condition under the efficient friction assumption is equivalent to the existence of a risk‐neutral measure. We derive dual representations for the superhedging ask and subhedging bid price processes of a contingent claim contract. Our results are illustrated with a vanilla credit default swap contract.     

CONTINUOUS-TIME MEAN-VARIANCE PORTFOLIO SELECTION WITH BANKRUPTCY PROHIBITION

A continuous-time mean-variance portfolio selection problem is studied where all the market coefficients are random and the wealth process under any admissible trading strategy is not allowed to be below zero at any time. The trading strategy under consideration is defined in terms of the dollar amounts, rather than the proportions of wealth, allocated in individual stocks. The problem is completely solved using a decomposition approach. Specifically, a (constrained) variance minimizing problem is formulated and its feasibility is characterized. Then, after a system of equations for two Lagrange multipliers is solved, variance minimizing portfolios are derived as the replicating portfolios of some contingent claims, and the variance minimizing frontier is obtained. Finally, the efficient frontier is identified as an appropriate portion of the variance minimizing frontier after the monotonicity of the minimum variance on the expected terminal wealth over this portion is proved and all the efficient portfolios are found. In the special case where the market coefficients are deterministic, efficient portfolios are explicitly expressed as feedback of the current wealth, and the efficient frontier is represented by parameterized equations. Our results indicate that the efficient policy for a mean-variance investor is simply to purchase a European put option that is chosen, according to his or her risk preferences, from a particular class of options.     

The Relationship between Animal Welfare and Economic Performance at Farm Level: A Quantitative Study of Danish Pig Producers

We propose a theoretical framework for the relationship between animal welfare and the economic performance of livestock farms. We empirically analyse this relationship based on a unique dataset of randomly sampled Danish pig herds that includes information from unannounced inspections of the compliance with the animal welfare legislation. We find large variations in economic performance and animal welfare. The relationship between these two indicators is rather weak, but tends to be slightly positive. A possible explanation for our results is that management has a major influence on both economic performance and animal welfare so that good farm managers are able to meet all animal welfare regulations, while achieving a high economic performance.     

Entrepreneurship,institutional economics,and economic growth: an ecosystem perspective

We analyze conceptually and in an empirical counterpart the relationship between economic growth, factor inputs, institutions, and entrepreneurship. In particular, we investigate whether entrepreneurship and institutions, in combination in an ecosystem, can be viewed as a “missing link” in an aggregate production function analysis of cross-country differences in economic growth. To do this, we build on the concept of National Systems of Entrepreneurship (NSE) as resource allocation systems that combine institutions and human agency into an interdependent system of complementarities. We explore the empirical relevance of these ideas using data from a representative global survey and institutional sources for 46 countries over the period 2002–2011. We find support for the role of the entrepreneurial ecosystem in economic growth.     

Speculating on presidential success: exploring the link between the price–earnings ratio and approval ratings

Stock markets and politics are enduring staples of dinner party conversations but surprisingly little is known about the interaction between the two. Here we present evidence for a robust relationship between a key financial measure—the aggregate Price–Earnings ratio—and surveyed approval of the incumbent president. We argue, following the finance literature, that the price–earnings ratio is a composite measure of investors’ hopes and fears. The partially prospective nature of this ratio enables us to shed new light upon the controversy surrounding how the electorate attends to economic circumstances in judging its presidents.