A NOTE ON ARBITRAGE AND CLOSED CONVEX CONES

We give an example of a subspace K of     such that     , where     denotes the closure with respect to convergence in probablity. On the other hand, the cone   C ≔ K − L ^∞₊  is dense in   L ^∞  with respect to the weak-star topology  σ( L ^∞, L ¹)  . This example answers a question raised by I. Evstigneev. The topic is motivated by the relation of the notion of no arbitrage and the existence of martingale measures in Mathematical Finance.     

ETF Premiums and Liquidity Segmentation

Exchange traded funds (ETFs) provide a means for investors to access assets indirectly that may be accessible at a high cost otherwise. I show that liquidity segmentation can explain the tendency for ETFs to trade at a premium to net asset value (NAV) as well as the life‐cycle pattern in premiums. ETFs with larger NAV tracking error standard deviations (TESDs) tend to trade at higher premiums and the liquidity benefits offered by foreign ETFs and fixed income ETFs are revealed to be the most valuable to investors. Further tests validate that TESD has the desirable properties of a liquidity segmentation measure.     

Measuring the liquidity part of volume

Based on the concept that the presence of liquidity frictions can increase the daily traded volume, we develop an extended version of the mixture of distribution hypothesis model (MDH) along the lines of Tauchen and Pitts (1983) to measure the liquidity portion of volume. Our approach relies on a structural definition of liquidity frictions arising from the theoretical framework of Grossman and Miller (1988), which explains how liquidity shocks affect the way in which information is incorporated into daily trading characteristics. In addition, we propose an econometric setup exploiting the volatility–volume relationship to filter the liquidity portion of volume and infer the presence of liquidity frictions using daily data. Finally, based on FTSE 100 stocks, we show that the extended MDH model proposed here outperforms that of Andersen (1996) and that the liquidity frictions are priced in the cross-section of stock returns.     

Integrating corporate ownership and pension fund structures: A general equilibrium approach

This paper studies pension fund design in the context of investment in the debt and equity of a firm. We employ a general equilibrium framework to demonstrate that: (i) the asset location ‘puzzle’ is purely a partial equilibrium phenomenon, conceived in a risk neutral setting, that disappears with the introduction of sufficient risk aversion; (ii) the inability of policy makers to manage an economy with multiple firms yields a mixed equilibrium, where bonds are observed in both taxable and tax-deferred accounts; and (iii) the Pareto-efficient pension plan comprises of a defined benefit plan.     

Pro-market institutions and outward FDI of emerging market firms: An institutional arbitrage logic

We offer new theory and evidence regarding the effects of pro-market institutions on outward foreign direct investment (FDI) of emerging market firms (EMFs). Drawing on the logic of institutional arbitrage, we integrate the escapism and exploitation mechanisms of EMF internationalization into a unified theoretical context. We propose an inverted U-shaped relationship between host market-supporting institutions (MSI) and the investment scale of an EMF’s FDI project in the country, showing an escape-driven upward slope for low-to-medium MSI levels and an exploitation-driven downward slope for medium-to-high MSI levels. We supplement this main argument with two boundary conditions: the alleviating effect of home market liberalization (HML) and the strengthening effect of home government subsidies (HGS), demonstrating the coexistence and variation of pro- and anti- market institutions in an emerging market. Using information on 1,450 FDI projects conducted by 288 Chinese listed firms in 116 host countries, we obtain supportive evidence for the predicted relationships between the three institutional forces. This study enriches the literatures on institutional arbitrage and pro-market institutions with evidence from EMFs.     

Innovation Offshoring,Institutional Context and Innovation Performance: A Meta‐Analysis

Innovation offshoring (IO) has become a widespread management practice. Yet, evidence on the performance implications is inconsistent, and scattered across disciplines and contexts. We argue that the benefits firms can derive from IO depend on the institutional environment at home. Drawing on recent work on institutional theory in international business, we explore institutions that facilitate reverse knowledge transfer and/or institutional arbitrage with respect to innovation‐related activities. The results of our meta‐analysis that synthesizes evidence from 48 samples show that IO is related positively to innovation performance. As predicted, this relationship is moderated by differences in the institutional environments across countries. Specifically, when national innovation systems are weak at home, IO appears to enable institutional arbitrage strategy whereas Confucian cultures enable more effective reverse knowledge transfer. However, contrary to our expectations, the beneficial effects of IO appear to have diminished over time.     

Disentangling types of liquidity and testing limits-to-arbitrage theories in the CDS–bond basis

We disentangle asset-specific, market, and funding liquidity in the CDS–bond basis outside and during the 2007–9 global financial crisis. Our findings stress the importance of separating different types of liquidity, since all three measures have independently negative impacts on the basis. Funding liquidity emerges as the economically most important liquidity metric. While asset-specific liquidity is cross-correlated in both the cash and derivative markets, funding and market liquidity only matter for the cash market. We exploit the decomposition of the basis to test predictions of limits-to-arbitrage theories. We find strong evidence in favor of margin-based asset pricing and flight-to-quality effects.     

No‐arbitrage implies power‐law market impact and rough volatility

Market impact is the link between the volume of a (large) order and the price move during and after the execution of this order. We show that in a quite general framework, under no‐arbitrage assumption, the market impact function can only be of power‐law type. Furthermore, we prove this implies that the macroscopic price is diffusive with rough volatility, with a one‐to‐one correspondence between the exponent of the impact function and the Hurst parameter of the volatility. Hence, we simply explain the universal rough behavior of the volatility as a consequence of the no‐arbitrage property. From a mathematical viewpoint, our study relies, in particular, on new results about hyper‐rough stochastic Volterra equations.     

ARBITRAGE‐FREE BILATERAL COUNTERPARTY RISK VALUATION UNDER COLLATERALIZATION AND APPLICATION TO CREDIT DEFAULT SWAPS

We develop an arbitrage‐free valuation framework for bilateral counterparty risk, where collateral is included with possible rehypothecation. We show that the adjustment is given by the sum of two option payoff terms, where each term depends on the netted exposure, i.e., the difference between the on‐default exposure and the predefault collateral account. We then specialize our analysis to credit default swaps (CDS) as underlying portfolios, and construct a numerical scheme to evaluate the adjustment under a doubly stochastic default framework. In particular, we show that for CDS contracts a perfect collateralization cannot be achieved, even under continuous collateralization, if the reference entity’s and counterparty’s default times are dependent. The impact of rehypothecation, collateral margining frequency, and default correlation‐induced contagion is illustrated with numerical examples.