Scaling in financial prices: I. Tails and dependence

The scaling properties of financial prices raise many questions. To provide background - appropriately so in the first issue of a new journal! - this paper, part I (sections 1 to 3), is largely a survey of the present form of some material that is well known yet repeatedly rediscovered. It originated in the author's work during the 1960s. Part II follows as sections 4 to 6, but can to a large extent be read separately. It is more technical and includes important material on multifractals and the 'star equation'; part of it appeared in 1974 but is little known or appreciated - for reasons that will be mentioned. Part II ends by showing the direct relevance to finance of a very recent improvement on the author's original (1974) theory of multifractals.     

Scaling in financial prices: II. Multifractals and the star equation

This is a direct continuation of the preceding paper, with which it shares the front material and the numbering of the sections. A little repetition makes it possible to read this paper, part II, by itself. It describes the progression of the formalism from the financial model the author introduced in 1963, with independence and [iopmath latex="$alphalt 2$"] <2 [/iopmath], to the financial model the author developed 1997, with multifractal dependence and [iopmath latex="$1lt alphalt infty$"] 1<< [/iopmath], and on to current developments.

The long informal discussion in section 3 of the preceding paper is rephrased in formal fashion and extended. The presentation describes the original and the multifractal forms of a 'star equation' and then moves beyond it.     

Equity prices and financial globalization

This paper examines the association between equity returns, economic shocks, and economic integration. The empirical findings show that oil prices and U.S. Federal Reserve funds rates are associated with negative responses of international equity returns, of which a simple asset-pricing model is capable of explaining the international differences. Using vector autoregressions, we find that the effects of global economic shocks operate through the current excess returns of equity prices. Empirically, trade integration increases the responses of international equity returns to oil prices, while finance integration increases the responses of equity returns to Federal Reserve funds rates across countries.     

Quadratic Hawkes processes for financial prices

We introduce and establish the main properties of QHawkes (‘Quadratic’ Hawkes) models. QHawkes models generalize the Hawkes price models introduced in Bacry and Muzy [Quant. Finance, 2014, 14(7), 1147–1166], by allowing feedback effects in the jump intensity that are linear and quadratic in past returns. Our model exhibits two main properties that we believe are crucial in the modelling and the understanding of the volatility process: first, the model is time-reversal asymmetric, similar to financial markets whose time evolution has a preferred direction. Second, it generates a multiplicative, fat-tailed volatility process, that we characterize in detail in the case of exponentially decaying kernels, and which is linked to Pearson diffusions in the continuous limit. Several other interesting properties of QHawkes processes are discussed, in particular the fact that they can generate long memory without necessarily being at the critical point. A non-parametric fit of the QHawkes model on NYSE stock data shows that the off-diagonal component of the quadratic kernel indeed has a structure that standard Hawkes models fail to reproduce. We provide numerical simulations of our calibrated QHawkes model which is indeed seen to reproduce, with only a small amount of quadratic non-linearity, the correct magnitude of fat-tails and time reversal asymmetry seen in empirical time series.     

OPEC in world financial markets: Oil prices and interest rates

This article examines the relationship between the real rate of interest in world financial markets and the price of oil. If OPEC cannot be viewed as a ‘small’ participant in world financial markets, and should its savings and portfolio behavior differ from that of the rest of the world, then wealth shifts to or from OPEC would affect world interest rates. Subsequently, this paper examines the magnitude of oil price changes required to elicit a significant interest rate change. Our empirical results shed light on OPEC's behavior, which at times may differ from a pure profit maximizing cartel. The short-run price elasticity of the world demand for oil is -0.04 and the long-run elasticity is -0.10. OPEC itself, as expected, faces higher elasticities of -0.08 and -0.36, respectively. The demand elasticity of oil with respect to ‘world’ GNP is 0.8. A major objective of this paper has been to determine the effect of changes in oil prices on world interest rates, and vice versa. Our results imply that only very large oil price increases will have a significant impact on world interest rates. However, oil prices show a non-negligible sensitivity to changes in world interest rates.     

Comovements in the equity prices of large complex financial institutions

In recent years, mergers, acquisitions and organic growth have meant that some of the largest and most complex financial groups have come to transcend national boundaries and traditionally defined business-lines. As a result, they have become a potential channel for the cross-border and cross-market transmission of financial shocks. This paper analyses the degree of comovement in the equity prices of a selected group of large complex financial institutions (LCFIs), and assesses the extent to which movements are driven by common factors. A relatively high degree of commonality is found for most LCFIs although there are still noticeable divisions between sub-groups of LCFIs, both according to geography and to a lesser extent primary business-line.     

Risk sharing in a financial market with endogenous option prices

This article investigates a financial market in which investors may trade in risk-free bonds, stock and put options written on the stock. In each period, stock and option prices are simultaneously determined by market clearing. While the introduction of put options will decrease the systematic risk in the financial market, it will increase the price of risk. Investors with mean-variance preferences will generally hold portfolios containing the primary asset and the put option and may use the option to increase the risk in their wealth position in exchange for higher returns. Aggregate wealth is unaffected by an option market when there are no spillover effects on stock prices, and it is shown that short selling of options will increase the volatility of individual wealth positions. Investors with erroneous beliefs may on average be better off not trading in put options.     

On financial disclosure and the behavior of security prices

The paper addresses the question: what impact does a change of a firm's information-disclosure environment have on its stock price behavior? Assuming that disclosure does not have any effects on production financing programs, that the CAPM obtains, and information can be characterized as ‘linear’, a number of results are provided. It is shown that disclosure leads to increased variability in stock price; the result is consistent with several empirical studies [Beaver (1968), May (1971), and Patell and Wolfson (1979)]. Further, the price that would be expected in a richer information environment is simply equal to the price that actually obtains in a less rich environment. Finally, risk and return parameters are essentially independent of changes in the disclosure environment.     

Inflation targeting,asset prices,and financial imbalances: Contextualizing the debate

This paper casts the debate regarding the role of asset prices and financial imbalances in the formulation of monetary policy from the perspective of theoretically optimal policy responses. Within the context of a standard model of the transmission mechanism, several possible motivations for responding to financial imbalances are highlighted. However, preventative policy actions against the build-up of financial imbalances cannot be easily understood within such a framework without fundamental modification to the underlying model. It is argued that a more practical way to evaluate such actions is through the inclusion of concerns for financial imbalances explicitly in the central bank's objective function.     

House prices, consumption, and monetary policy: a financial accelerator approach

We consider a general equilibrium model with frictions in credit markets used by households. In our economy, houses provide housing services to consumers and serve as collateral to lower borrowing cost. We show that this amplifies and propagates the effect of monetary policy shocks on housing investment, house prices and consumption. We also consider the effect of a structural change in credit markets that lowers the transaction costs of additional borrowing against housing equity. We show that such a change would increase the effect of monetary policy shocks on consumption, but would decrease the effect on house prices and housing investment.     

Pitfalls in using market prices to assess the financial condition of depository institutions

In this article we examine the information that stock prices provide about the financial condition of federally insured thrift institutions. In order to assess their financial condition from the different perspectives of stockholders and the federal insurer, we calculate the value of the put option of federal deposit insurance available to thrift institutions. Our results demonstrate that the two perspectives often provide, particularly for unhealthy institutions, quite different views of the financial condition of individual institutions.     

Common stochastic trends among Far East stock prices: Effects of the Asian financial crisis

This paper investigates empirically the change(s) in the long-run relationship(s) between the stock prices of eight Far East countries around the Asian financial crisis of 1997-98. Further tests are conducted to check the change in the influence of the Japanese and the US stock markets in the Far East Region before, during and after the crisis. Empirical investigation is conducted by means of rolling correlation coefficients, the Johansen multivariate cointegration method, causality tests and band spectrum regression. Results show significant long-run relationship(s) and linkage between the Far East markets before, during, and after the crisis. The most significant linkage and relationship are found during the crisis period. Results mostly indicate larger US influence in all periods but some evidence of increasing Japanese influence is also shown.     

Private placement,share prices,volume and financial crisis: An emerging market study

Firms are increasingly resorting to private placements in recent years, yet there is no published study of emerging markets. There is a unique opportunity to study this behavior during a severe financial crisis, when firms resorted to private placements to recover financially distressed firms. Our analysis using data over fifteen years shows (a) a significant 2–3% positive share price reaction, affirming asymmetric information effect, (b) a significant volume activity, and (c) the price impact is different across a period of a major financial crisis. If the proceeds from placement are earmarked for investment, share price is negatively (positively) correlated during the crisis (non-crisis) periods. Our finding on regulation is inconsistent with prior reports in developed markets: this is explained by the stricter restrictions on trading of private issues in emerging market. These results provide modest new contributions to the literature on private placements.     

Fundamentals and bubbles in asset prices: Evidence from U.S. and Japanese asset prices

This paper investigates the existence and extent of non-fundamental bubbles in both U.S. and Japanese asset prices by employing a flexible empirical method which allows us to decompose asset prices into fundamental and non-fundamental bubble components. This study finds that a substantial fraction of U.S. and Japanese asset prices is accounted for by non-fundamental bubble components and that these asset prices overreact to non-fundamental bubble shocks. In addition, allowing for time-varying interest rates as another fundamental factor does not change any qualitative results about the role of non-fundamental bubble components. This suggests that the present value model fails to explain volatile asset price behavior even with time-varying interest rates. This paper was initially written when I was visiting Keio University in Japan. I benefited from several discussions with Mike Dothan, Pat Hess, and Steve LeRoy in my department, Takashi Kaneko, Yukitami Tsuji and Naoyuki Yoshino at Keio University, and Yong-Seok Park at the International University of Japan. Special thanks are due to the anonymous referee and the editor of this journal, who provided many useful and insightful comments that helped to improve the paper. This research was in part supported by a grant from the International Program Development.     

Market concentration and the likelihood of financial crises

According to theory, market concentration affects the likelihood of a financial crisis in different ways. The “concentration-stability” and the “concentration-fragility” hypotheses suggest opposing effects operating through specific channels. Using data of 160 countries for the period 1970–2009, this paper empirically tests these indirect effects of financial market structure. We set up a simultaneous system in order to jointly estimate financial stability and the relevant channel variables as endogenous variables. Our findings provide support for the assumption of channel effects in general and both the concentration-stability and the concentration-fragility hypothesis in particular. The effects are found to vary between high and low income countries.     

Bank concentration and financial constraints on firm-level investment in Europe

This study examines the effect of bank concentration on financing constraints of non-financial firms in 14 European countries between 1992 and 2005. Using firm-level data we analyze financial constraints with the Euler equation derived from the dynamic investment model. We find that with a highly concentrated banking sector firms are less financially constrained. This result is robust to consideration of firm opacity, firm size, and business cycle. Relaxation of financial constraint while greater for firms in less opaque industries also accrues for firms in more opaque industries. Greater bank concentration is associated with less tight financial constraint during both expansions and recessions. Results overall are consistent with an information-based hypothesis that more market power increases banks’ incentives to produce information on potential borrowers. Findings are robust to consideration of country specific institutional factors.     

Enterprise risk management in financial groups: analysis of risk concentration and default risk

In financial groups, enterprise risk management is becoming increasingly important in controlling and managing the different independent legal entities in the group. The aim of this paper is to assess and relate risk concentration and joint default probabilities of the group’s legal entities in order to achieve a more comprehensive picture of a financial group’s risk situation. We further examine the impact of the type of dependence structure on results by comparing linear and nonlinear dependencies using different copula concepts under certain distributional assumptions. Our results show that even if financial groups with different dependence structures do have the same risk concentration factor, joint default probabilities of different sets of subsidiaries can vary tremendously.

The subprime asset-backed securities market and the equity prices of large complex financial institutions

In this paper, we investigate the relationship between the subprime asset-backed collateralized debt obligations (CDO) market and Large Complex Financial Institutions (LCFIs). We attempt to account for the dynamics between the ABX index returns and the banks’ equity returns through conditioning our analysis on the historical correlation between the variables. Three key results emerge from the analysis. First, we find a positive correlation between movements of the ABX index and the equity returns for all the LCFIs. Second, the volatility of ABX index returns tend to be transmitted to the volatilities of the equity returns of the financial institutions. Third, ABX prices changes lead equity returns changes of the European-based LCFIs. For the US LCFIs a two-way linkage emerges.     

A tale of two prices: Liquidity and asset prices in multiple markets

This paper investigates the liquidity effect in asset pricing by studying the liquidity–premium relationship of an American depositary receipt (ADR) and its underlying share. Using the [Amihud, Yakov, 2002. Illiquidity and stock returns: cross-section and time series effects. Journal of Financial Markets 5, 31–56] measure, the turnover ratio and trading infrequency as proxies for liquidity, we show that a higher ADR premium is associated with higher ADR liquidity and lower home share liquidity, in terms of changes in these variables. We find that the liquidity effects remain strong after we control for firm size and a number of country characteristics, such as the expected change in the foreign exchange rate, the stock market performance, as well as several variables measuring the openness and transparency of the home market.