Beyond cash-additive risk measures: when changing the numéraire fails

We discuss risk measures representing the minimum amount of capital a financial institution needs to raise and invest in a pre-specified eligible asset to ensure it is adequately capitalized. Most of the literature has focused on cash-additive risk measures, for which the eligible asset is a risk-free bond, on the grounds that the general case can be reduced to the cash-additive case by a change of numéraire. However, discounting does not work in all financially relevant situations, especially when the eligible asset is a defaultable bond. In this paper, we fill this gap by allowing general eligible assets. We provide a variety of finiteness and continuity results for the corresponding risk measures and apply them to risk measures based on value-at-risk and tail value-at-risk on L ^p spaces, as well as to shortfall risk measures on Orlicz spaces. We pay special attention to the property of cash subadditivity, which has been recently proposed as an alternative to cash additivity to deal with defaultable bonds. For important examples, we provide characterizations of cash subadditivity and show that when the eligible asset is a defaultable bond, cash subadditivity is the exception rather than the rule. Finally, we consider the situation where the eligible asset is not liquidly traded and the pricing rule is no longer linear. We establish when the resulting risk measures are quasiconvex and show that cash subadditivity is only compatible with continuous pricing rules.     

Foreign shareholders,relative foreign policy uncertainty and corporate cash holdings

Studies have shown that foreign investors hedge risks stemming from economic and political uncertainty in the home country through outward investment. This paper studies how foreign investors' home country risk affects their overseas investment and the host country firms' corporate cash holdings. We find that relative foreign EPU, defined as the difference between foreign investors' home country EPU and the host country of investment EPU, negatively impacts the host country firms' cash holdings through their influences on managerial decision-making. This negative relationship arises from firms' precautionary and transaction motives as foreign investors perceive lower corporate risk and better investment opportunities in the host country firms. Good corporate governance is also instrumental in yielding this negative relationship. The reduction in cash holdings due to high relative foreign EPU is more pronounced if foreign investors' home country legal environment is weaker, the two countries are further apart, and there is little trade partnership between them.     

A Unified Theory of Tobin's q,Corporate Investment,Financing, and Risk Management

We propose a model of dynamic investment, financing, and risk management for financially constrained firms. The model highlights the central importance of the endogenous marginal value of liquidity (cash and credit line) for corporate decisions. Our three main results are: (1) investment depends on the ratio of marginal q to the marginal value of liquidity, and the relation between investment and marginal q changes with the marginal source of funding; (2) optimal external financing and payout are characterized by an endogenous double‐barrier policy for the firm's cash‐capital ratio; and (3) liquidity management and derivatives hedging are complementary risk management tools.     

State ownership,soft-budget constraints,and cash holdings: Evidence from China’s privatized firms

We study the relation between state ownership and cash holdings in China’s share-issue privatized firms from 2000 to 2012. We find that the level of cash holdings increases as state ownership declines. For the average firm in our sample, a 10 percentage-point decline in state ownership leads to an increase of about RMB 55 million in cash holdings. This negative relation can be attributable to the soft-budget constraint (SBC) inherent in state ownership. The Chinese financial system is dominated by the state-owned banks, an environment very conducive for the SBC effect. We further examine and quantify the effect of state ownership on the value of cash and find that the marginal value of cash increases as state ownership declines. The next RMB added to cash reserves of the average firm is valued at RMB 0.96 by the market. The marginal value of cash in firms with zero state ownership is RMB 0.36 higher than in firms with majority state ownership. The SBC effect exacerbates agency problems inherent in state-controlled enterprises, contributing to their lower value of cash.     

A Direct Test of the Free Cash Flow Hypothesis: Evidence from Real Estate Transactions

This paper tests (Jensen The American Economic Review, 76, 323–329 1986) free cash flow hypothesis using data on real estate transactions. We find that firms with either higher free cash flow or higher cash reserve pay more fore real estate, which is consistent with the free cash flow hypothesis. We also find that the agency costs of free cash flow associated with real estate transactions are more severe when firms have lower Tobin’s Q. Furthermore, we find that among the commonly used corporate governance measures, only equity compensation is effective in mitigating the agency problem of free cash flow.     

Free Cash Flow,Issuance Costs,and Stock Prices

We develop a dynamic model of a firm facing agency costs of free cash flow and external financing costs, and derive an explicit solution for the firm's optimal balance sheet dynamics. Financial frictions affect issuance and dividend policies, the value of cash holdings, and the dynamics of stock prices. The model predicts that the marginal value of cash varies negatively with the stock price, and positively with the volatility of the stock price. This yields novel insights on the asymmetric volatility phenomenon, on risk management policies, and on how business cycles and agency costs affect the volatility of stock returns.     

On dynamic spectral risk measures,a limit theorem and optimal portfolio allocation

In this paper, we propose the notion of continuous-time dynamic spectral risk measure (DSR). Adopting a Poisson random measure setting, we define this class of dynamic coherent risk measures in terms of certain backward stochastic differential equations. By establishing a functional limit theorem, we show that DSRs may be considered to be (strongly) time-consistent continuous-time extensions of iterated spectral risk measures, which are obtained by iterating a given spectral risk measure (such as expected shortfall) along a given time-grid. Specifically, we demonstrate that any DSR arises in the limit of a sequence of such iterated spectral risk measures driven by lattice random walks, under suitable scaling and vanishing temporal and spatial mesh sizes. To illustrate its use in financial optimisation problems, we analyse a dynamic portfolio optimisation problem under a DSR.     

Accounting comparability and relative performance evaluation by capital markets

This paper examines how accounting comparability affects the monitoring role and the risk allocation role of capital markets. We develop the statistical and informational properties of accounting reports under varying degrees of comparability. A perfectly comparable accounting information system enables investors to perfectly infer the difference between any two firms' future cash flows although investors remain uncertain about either firm's cash flow. Comparability alleviates entrepreneurs' moral hazard problem by strengthening the price response to the relative accounting performance, but can induce excessive price risk as well as residual systematic cash flow risk. Unlike the investors (users) who earn their surplus by bearing the residual systematic risk, the entrepreneurs (preparers) do not find perfect comparability desirable. Hence, a standard setter would mandate higher comparability than preferred by preparers, but not perfect comparability.     

A Reexamination of the Persistence of Accruals and Cash Flows

We reexamine prior studies' conclusion that accruals are less persistent than cash, focusing on two aspects of persistence that are crucial to determining its properties. The first (time specificity) refers to the fact that persistence describes how current‐period shocks to income translate into next‐period income. Traditional measures of accruals are, however, functions of current‐ and non‐current‐period transactions. We show that the inclusion of non‐current‐period transactions leads to a downward (upward) bias on the persistence of accruals (cash flows). We develop alternative measures of accruals and cash flows that are not misaligned and show that the differential persistence of cash flows over accruals is more than 70% smaller using these measures. The second aspect of persistence is firm‐specificity. Specifically, we evaluate persistence using firm‐specific estimations and find that more than 85% of firms show no evidence that accruals are less persistent than cash flows.     

Time-consistent reinsurance and investment strategies for an AAI under smooth ambiguity utility

This paper investigates time-consistent reinsurance(excess-of-loss, proportional) and investment strategies for an ambiguity averse insurer(abbr. AAI). The AAI is ambiguous towards the insurance and financial markets. In the AAI's attitude, the intensity of the insurance claims' number and the market price of risk of a stock can not be estimated accurately. This formulation of ambiguity is similar to the uncertainty of different equivalent probability measures. The AAI can purchase excess-of-loss or proportional reinsurance to hedge the insurance risk and invest in a financial market with cash and an ambiguous stock. We investigate the optimization goal under smooth ambiguity given in Klibanoff, P., Marinacci, M., & Mukerji, S. [(2005). A smooth model of decision making under ambiguity. Econometrica 73, 1849–1892], which aims to search the optimal strategies under average case. The utility function does not satisfy the Bellman's principle and we employ the extended HJB equation proposed in Björk, T. & Murgoci, A. [(2014). A theory of Markovian time-inconsistent stochastic control in discrete time. Finance and Stochastics 18(3), 545–592] to solve this problem. In the end of this paper, we derive the equilibrium reinsurance and investment strategies under smooth ambiguity and present the sensitivity analysis to show the AAI's economic behaviors.