Optimal Hedging of Basket Barrier Options with Additive Models and Its Application to Equity Value Separation Problem

At the heart of optimal hedging with additive models in Yamada (Recent advances in financial engineering: proceedings of the KIER-TMU international workshop on financial engineering, World Scientific, pp 225–245, 2010; Proceedings of the 2011 American control conference, pp 3856–3861, 2011; Asia-Pac Financ Mark 19(2):149–179, 2012) is to replicate the payoff of European basket options using separate options as close as possible. In this paper, we extend their technique for the case of path-dependent barrier options, where the mean square error of the payoffs between the basket barrier option and the sum of options on the individual assets is minimized over any smooth payoff functions. To this end, we propose to represent the underlying assets using the Brownian bride decomposition and show that computations involving conditional expectations of basket barrier options boil down to those of unconditional expectations. This procedure enables us to provide an algorithm to compute the necessary and sufficient condition for the optimal hedging problem based on the Monte Carlo method. Then, we consider to apply our methodology to the Black–Cox type first passage time structural model, where a defaultable company possesses/runs multiple assets/projects and the default may occur the first time the asset value hits a certain lower threshold before the maturity. We formulate the equity value separation problem using additive models, in which individual equity values are introduced so that their sum approximates the total equity value as close as possible. It is also shown that any portion of total equity value may be assigned as an initial value of each individual equity when using the optimal smooth functions. Finally, we examine the contributions of individual equity values to default or survival by applying a certain normalization for conditional expectations via numerical experiments to illustrate our proposed methodology.     

Robust pricing–hedging dualities in continuous time

We pursue a robust approach to pricing and hedging in mathematical finance. We consider a continuous-time setting in which some underlying assets and options, with continuous price paths, are available for dynamic trading and a further set of European options, possibly with varying maturities, is available for static trading. Motivated by the notion of prediction set in Mykland (Ann. Stat. 31:1413–1438, 2003), we include in our setup modelling beliefs by allowing to specify a set of paths to be considered, e.g. superreplication of a contingent claim is required only for paths falling in the given set. Our framework thus interpolates between model-independent and model-specific settings and allows us to quantify the impact of making assumptions or gaining information. We obtain a general pricing–hedging duality result: the infimum over superhedging prices of an exotic option with payoff \(G\) is equal to the supremum of expectations of \(G\) under calibrated martingale measures. Our results include in particular the martingale optimal transport duality of Dolinsky and Soner (Probab. Theory Relat. Fields 160:391–427, 2014) and extend it to multiple dimensions, multiple maturities and beliefs which are invariant under time-changes. In a general setting with arbitrary beliefs and for a uniformly continuous \(G\), the asserted duality holds between limiting values of perturbed problems.     

Aktuareksamen 1927 ved Universitetet i Oslo.

1. Introduction.

The two cases where a normal distribution is “truncated” at a known point have been treated by R. A. Fisher (1) and W. L. Stevens (2), respectively. Fisher treated the case in which all record is omitted of observations below a given value, while Stevens treated the case in which the frequency of observations below a given value is recorded but the individual values of these observations are not specified. In both cases the distribution is usually termed truncated. In the first case, admittedly, the observations form a random sample drawn from an incomplete normal distribution, but in the second case we sample from a complete normal distribution in which the obtainable information in a sense has been censored, either by nature or by ourselves. To distinguish between the two cases the distributions will be called truncated and censored ¹ The term “censored” was suggested to me by Mr J. E. Kerrich. , respectively. The term “point of truncation” will be used for both.     

Do Goodwill Impairments by European Firms Provide Useful Information to Investors?

In 2004 International Accounting Standards Board. (2004). International Accounting Standard (IAS) N°36: Impairment of assets. London: Author. [Google Scholar], the IASB adopted the mandatory annual impairment-test-only of goodwill (IAS 36) instead of amortization of goodwill. We present and discuss the academic literature regarding the association between the goodwill impairment, under this new standard, and the revision of investors’ expectations about a company’s future cash flows. The academic literature highlights that, in some specific cases, IAS 36 may help investors to revise their expectations. More precisely, goodwill impairment seems relevant when: (a) there is strong asymmetry of information between managers and investors, (b) managers disclose detailed information in the notes regarding their own assumptions about future cash flows, and (c) managers do not manage earnings and provide reliable information to investors. In many cases, goodwill impairment is probably useless for investors because they are able to revise their expectations based on public information, or because they cannot trust the accounting numbers and additional information in the notes about the impairment test, which are provided by (undisciplined) managers. More research is, however, needed to understand in which circumstances impairment-test-only is more useful, as well in which cases it is less adequate. Our analysis relates to the current post-implementation review and should be useful to standard-setters. Before any modification, we argue that standard-setters should carefully consider the economic and the institutional contexts when issuing a new accounting standard.     

Optimal Regulation Under Uncertainty

This paper is concerned with the problem of price regulation when demand is uncertain. Uncertainty gives rise to substantial difficulties in determining both the return a firm's owners should be provided and a set of prices capable of producing that return. We argue that conventional approaches to price regulation are incapable of attaining the economically desirable objectives of efficiency and an equitable return to investors. The deficiencies in current practices are attributable to the separation of the risk measurement-return determination and price setting activities in the conventional approach. We present a model of the regulated firm that synthesizes contemporary financial market theory and the theory of the firm under uncertainty. ¹ 1 A recent paper by Baron 1 furnishes an excellent review of a host of diverse issues involving the behavior of the firm under uncertainty and the role of financial markets.
In our approach, the income stream produced by the firm is valued ex ante in the financial market according to investors' perceptions and preferences over riskreturn characteristics. We portray the firm as producing risk and return by choosing among available production technologies to maximize its market value, given the prices set by regulators. Within this framework, it is shown that regulators can choose the lowest prices consistent with an equitable return to investors. We also show that prices so chosen induce the choice of the optimal technology by the firm.     

Dynamic relations of uncertainty expectations: a conditional assessment of implied volatility indices

This study examines the spillover effects in international financial markets with respect to implied volatility indices. The use of the latter as the basis of integration analysis means that we test market participants’ expectations and not the actual price fluctuations. The empirical analysis, which includes all publicly available implied volatility indices, employs the dynamic conditional correlation model of Engle (2002) and its findings suggest that there is significant integration of investors’ expectations about future uncertainty. Furthermore, by accounting for the dynamic volatility of implied volatility inter-dependencies, we are able to reveal possible shifts in conditional correlations of market expectations over time. More specifically, our findings show a slight increase in the conditional correlations for all the volatility indices under review over the years and prove that in periods of turbulence in the financial markets the conditional correlations across implied volatility indices increase.     

Is financial reporting shaped by equity markets or by debt markets? An international study of timeliness and conservatism

We hypothesize debt markets—not equity markets—are the primary influence on “association” metrics studied since Ball and Brown (1968 J Account Res 6:159–178). Debt markets demand high scores on timeliness, conservatism and Lev’s (1989 J Account Res 27(supplement):153–192) R ², because debt covenants utilize reported numbers. Equity markets do not rate financial reporting consistently with these metrics, because (among other things) they control for the total information incorporated in prices. Single-country studies shed little light on debt versus equity influences, in part because within-country firms operate under a homogeneous reporting regime. International data are consistent with our hypothesis. This is a fundamental issue in accounting.     

Correlation once more

Abstract

§ 1. Correlation Generally.

In my thesis for Doctorship of 1919, ¹ This Journal, 1919, p. 1. I have made some critical remarks on the theory of correlation, trying especially to exhibit the rather unaccomplished state of this theory, and the danger of releasing its formulae for general use. In a supplementary note, ² Ibidem, p. 204. I have pushed my criticism a little further. Since that time, more than ten years have passed away, but I find my point of view still sustainable. One reproach, however, I have never been able to reject, viz, of having been exclusively negative. In fact, I find this position rather natural, from a philosophical standpoint. The information value of correlation calculations is indeed, as a rule, very small. And this seems the more regrettable, as the importance of the Στχαστι?? Τ?χυη, even for the most difficult questions of knowledge, ought to be very great. In a paper of 1924, “Quelques questions concernant les principes de la théorie des probabilités” ³ Ibidem, 1924, p. 107. I have tried to explain, how I imagine the development of the theory of correlation in order to be more apt to set about such philosophical questions.     

Enhancement of value investing strategies based on financial statement variables: the German evidence

This paper examines the added-value of combining traditional valuation ratios with each other as well as with some financial statement variables in the German stock markets during the 2000–2015 period. The results show that combination pays off and, moreover, that the benefits of combination are greater in Germany than in most other developed stock markets. Particularly, we find strong evidence of the added-value of using Piotroski’s F-score as a supplementary selection criterion for value stocks as well as for low-accrual stocks. Our results show further that the F-score also boosts the efficacy of other valuation ratios besides the book-to-price ratio. In addition, the inclusion of F-score besides a relative value measure tends to increase the average market equity of portfolio firms. The decomposition of the full-sample-period performance into separate bull- and bear-period performance shows clearly that the better performance of F-score-boosted portfolios is mostly attributable to their outperformance during bearish periods, even though on average, they also generate higher bull-period returns than the comparable value portfolios formed without F-score. The use of F-score as a supplementary criterion also increases the proportion of stocks that earn above-market-average returns during the subsequent holding period. For the first time in the financial literature, we also document a strong relationship between high F-score stocks and momentum stocks.     

Technical basis for collective (Group) pensions insurance in Norway — K 1946

I. Introduction.

In 1933 O. Aabakken in this journal ¹ Olav Aabakken: “A New Basis of Calculation for Collective Pensions Insurance in Norway”. 1933. dealt with the collective (group) pensions insurance in Norway and especially with the technical basis — K 1931 — which was adopted in 1931 by the life offices in common for this branch of insurance. This basis was worked out from the experiences since 1917, when collective pensions insurance was introduced in Norway. When the National old-age insurance was introduced in 1936, the life offices adopted some new collective pensions benefits which could be employed in the cases where an adjustment to the National old age insurance was desirable. O. Böe has described the mode of adjustment. ² Olav Böe: “Relations between Collective Pensions Insurance, Employer's Pension Funds and National Insurance in Norway”. Transactions of the Eleventh International Congress of Actuaries, Paris 1937.      

A q Theory of Internal Capital Markets

We propose a tractable model of dynamic investment, spinoffs, financing, and risk management for a multidivision firm facing costly external finance. Our analysis formalizes the following insights: (i) Within-firm resource allocation is based not only on divisions' productivity, as in winner-picking models, but also their risk; (ii) firms may voluntarily spin off productive divisions to increase liquidity; (iii) diversification can reduce firm value in low-liquidity states, as it increases the spinoff cost and hampers liquidity management; (iv) corporate socialism makes liquidity less valuable; and (v) division investment is determined by the ratio between marginal $$ and marginal value of cash.     

The quality of public information and the term structure of interest rates

This paper analyzes the term structure of interest rates in an exchange-only Lucas (Econometrica 46:1429–1445, 1978) economy where consumers learn about a stochastic growth rate through observations of the endowment process and an external public signal. We allow for deluded consumers, who exaggerate the degree of covariation between the external public signal and the growth rate. With such consumers, there can be a premium for noisy external public information in long-term bonds and the social value of more precise public information can be negative. Moreover, our model can create excessive yield volatility and deviations from the expectations hypothesis.     

On Mechanical Quadratur

The fact that the remainder terms in the open and closed mechanical quadrature formulas discussed by Steffensen ¹ J. F. Steffensen, Interpolation, Baltimore (Williams and Wilkins) 1927, pj). 154–170. See also J. F. Steffensen, On the remainder form of certain formulas of mechanical quadrature, Skandinavisk Aktuarietidskrift, 4 (1921), pp. 201–209. have opposite signs suggests that the closeness of approximation of such formulas, in general, may depend upon the distance, a, of the extreme ordinates from the end points of the interval of integration. Take as the definite integral whose approximate value is to be found. Erect ordinates at the n points Xi = -m + a + iw, (i = 0, 1, 2, . . . n - 1), where w equals the distance between ordinates and (n - 1) w + 2a = 2m. If we derive quadrature formulas by integrating Lagrange's interpolation formula, then the above mentioned open and closed formulas are obtained by letting a = w and a = 0 respectively. The closed type is known as the Newton-Cotes formula. Walther ² A. Walther, Zur numerischen integration, Skandinavisk Aktuarietidskrift 8 (1925), pp. 148–152. treated the case where . In the present paper an investigation is made to determine a so as to improve the accuracy of the quadrature formula with equally spaced ordinates. ³ Gauss's formula handles the case of unequally spaced ordinates. See Encyklopedie der Mathematischen Wissenschaften II, c. 2. p. 47 for general references.      

Crisis transmission: Some evidence from the Asian financial crisis

We used a crisis measure of financial market as defined by Sexena (1998) to study the nature of crisis transmission and the channels through which the 1997 crisis was transmitted among Asian financial markets. Estimated with a vector autoregression (VAR) and an OLS model on Asian financial markets from January 1990 to December 1998, we found that:

1.

During the crisis period, crisis transmission was more significant than during other noncrisis periods;

2.

Comparing the crisis transmission within the industrialized countries (Taiwan, Korea, and Japan), within the emerging countries (Thailand, Malaysia, The Philippines, and Indonesia), and between the industrialized and emerging groups, it is shown that

2.1.

The crisis transmission among the three industrialized countries was not significant.

2.2.

The crises originated from Thailand and Malaysia were transmitted to other emerging countries.

2.3.

The crisis transmission between industrialized and emerging countries was not found to be significant. There was evidence showing that Singapore served as an intermediary transmitting crisis between industrialized and emerging countries during this particular crisis.

3.

The transmission through the wake-up call effect was found to be more significant than other transmission channels. Trade relationship and cash-in effects only existed in Korea, Thailand, and Malaysia.

     

Correlation and Volatility Dynamics in International Real Estate Securities Markets

We study international correlation and volatility dynamics of publicly traded real estate securities using monthly returns from 1984 and 2006. We also examine, for comparison, the correlations among the corresponding stock markets. A multivariate dynamic conditional correlation model captures the time-varying correlation within the full period. We confirm lower correlations between all real estate securities market returns than those between the stock market returns themselves. Some significant variations and structural changes in the correlation structure happened within the sample period. We detect a strong and positive connection between real estate securities market correlations and their conditional volatilities. We also find the international correlation structure of real estate securities and the broader stock market are linked to each other. Our results have economic motivations regarding the potential integration of international real estate securities markets and the possibility of including information on changing correlations and volatilities to design more optimal portfolios for international real estate securities.

International accounting books: Publishers' dream,authors' nightmare and educators' reality

Abstract

The emergence of International Financial Reporting Standards (IFRS) as the required convention for reporting to stock exchanges in the European Union (EU) and other important markets, together with the convergence programmes of major standard setters, has accelerated the reduction in differences in financial reporting between countries. The education of potential accountants would be expected to respond to these changes and, indeed, there is evidence that the teaching of accounting techniques now frequently draws on both IFRS and local GAAP. Perhaps a greater shift has been in the discipline of International Accounting (IA), which has moved from being an optional subject to being core to most programmes and an increasingly popular choice for more specialised degrees at both undergraduate and Master's levels. This article surveys the books that are available to support educators and learners in IA building on the analysis and classification of Laidler and Pallett (1998) Laidler, J. and Pallett, S. 1998. International accounting: a review of books available to support UK courses: a teaching note. Accounting Education: an International Journal, 7(1): 75–86. [Taylor &; Francis Online] , [Google Scholar] Accounting Education: an international journal, 7(1), pp. 75–86. A range of IA textbooks is examined in detail, along with a more general review of reference works. The analysis finds that there has been a growth in the number, breadth and depth of texts serving the IA market. Authors have fallen upon a number of devices in their battle to keep their materials up to date in this dynamic environment. Some of Laidler and Pallett's (1998) Laidler, J. and Pallett, S. 1998. International accounting: a review of books available to support UK courses: a teaching note. Accounting Education: an International Journal, 7(1): 75–86. [Taylor &; Francis Online] , [Google Scholar] criticisms of the writing and coverage of IA texts have been addressed, although not necessarily in the way that they envisaged. In spite of the growth of this section of publishers' catalogues, there remain a number of areas given scant coverage, notably enforcement and audit, and countries outside of the EU and US. The article concludes with recommendations for publishers, authors and educators to enhance the teaching of IA and the resources needed to support it.     

Dynamic liquidation under market impact

The optimal liquidation problem with transaction costs, which includes a positive fixed cost, and market impact costs, is studied in this paper as a constrained stochastic optimal control problem. We assume that trading is instantaneous and the dynamics of the stock to be liquidated follows a geometric Brownian motion. The solution to the impulse control problem is computed at each time step by solving a linear partial differential equation and a maximization problem. In contrast to results obtained from the static formulation of Almgren and Chriss [J. Risk, 2000 Almgren, R and Chriss, N. 2000. Optimal execution of portfolio transactions. J. Risk, 3: 5–39. [Crossref] , [Google Scholar], 3, 5–39], when risk is not considered, the optimal liquidation strategy from our stochastic control formulation depends on temporary market impact cost and permanent market impact cost parameters. In addition, our computational results indicate the following properties of the optimal execution strategy from the stochastic control formulation. Due to the existence of a no-transaction region, it may not be optimal for some individuals to sell their assets on some trading dates. As the value of the permanent market impact parameter increases, the expected optimal amount liquidated at the terminal time increases. As the value of the quadratic temporary impact cost parameter increases, the expected optimal amount liquidated at trading times tends to be uniform, and the no-transaction region shrinks. In the presence of quadratic temporary market impact costs, in contrast to optimal strategies that result from fixed and/or proportional transaction costs alone, portfolios in the selling region are neither re-balanced into the no-transaction region nor into the sell and no-transaction interface.     

Product market competition,competitive strategy,and analyst coverage

This paper examines how product market competition and strategic interactions among peer firms influence analyst coverage. First, we hypothesize that product market competition increases both the demand and supply of analyst coverage. Using three variations of industry concentration ratios and a firm specific measure of competition, we test and find a positive and significant effect of market competition on analyst coverage. Second, we explore an information transfer channel through which product market affects analyst coverage. We hypothesize that information flows more freely among firms selling similar products. Such information flows lowers analyst information collection and processing costs, which in turn increases analyst coverage. Using product similarity index developed by Hoberg and Phillips (J Polit Econ 124(5):1423–1465, 2016) to capture the effect of information transfer, we find that analyst coverage increases with product similarity. Third we examine the role of competitive strategy in analyst coverage. We split our sample into markets of strategic complements and strategic substitutes. We find that the effect of market competition and analyst coverage is more pronounced in markets where firms compete as strategic complements.     

Continuous-time delegated portfolio management with homogeneous expectations: can an agency conflict be avoided?

In a continuous-time framework, the issue of how to delegate an investor’s portfolio decision to a portfolio manager is studied. First, we solve the first-best problem. For the second-best case, a specific quadratic contract is introduced resolving the agency conflict completely in the sense that the solutions to the first-best and second-best problems coincide. This contract can be implemented if the investor is able to observe the value of the growth optimal portfolio at her investment horizon. If the investment opportunity set is assumed to be constant, in equilibrium the value of the market portfolio is a sufficient statistic for the value of the growth optimal portfolio. Throughout the paper, we assume that the investor and the manager have homogeneous expectations about the investment opportunity set. This, however, does not necessarily mean that investor and manager are symmetrically informed about all prices.

On the connection between tests of significance for correlation coefficients and for differences between means

1. Some questions about the connection between statistical tests of significance for simple and multiple correlation coefficients and for differences between sample means (and between sample means and population means) of variables of one or several dimensions are treated in this paper. The distributions of the random variables that are considered in such tests are given, under certain conditions, by frequency functions of the following types ¹ the recently published treatise “Mathematical Methods of Statistics” by Professor Harald Cramér (Uppsala 1945). : where - ∞ < t < ∞, n≧1; where where 0 < t < ∞, k≧1, n≧k; and where .