Taxes,risk taking,and financial stability

After the global financial crisis, the use of taxes to enhance financial stability received new attention. This paper analyzes the corrective role of taxes in banking and compares two instruments, namely, an allowance for corporate equity (ACE), which mitigates the debt bias in corporate taxation, and a Pigovian tax on bank debt (bank levy). We emphasize financial stability gains driven by lower bank asset risk and develop a principal-agent model, in which risk taking depends on the bank's capital structure and, by extension, on the tax treatment of debt and equity. We find that (i) the ACE unambiguously reduces risk taking, (ii) bank levies reduce risk taking if they are independent of bank performance but may be counterproductive otherwise, and (iii) taxes are especially effective if regulatory capital requirements are constrained to low levels.     

Investment under Uncertainty, Debt and Taxes

It is common practice in financial derivative valuation to use a discount factor based on the riskless debt rate. But, to what extent is this discount factor appropriate for cash flows emerging in capital budgeting? To answer this question, we introduce a framework for real asset valuation that considers both personal and corporate taxation. We first discuss broad circumstances under which personal taxes do not affect valuation. We show that the appropriate discount rate for equity‐financed flows in a risk‐neutral setting is an equity rate that differs from the riskless debt rate by a tax wedge due to the presence of personal taxation. We extend this result to the valuation of the interest tax shield for exogenous debt policy with default risk. Interest tax shields, which accrue at a net rate corresponding to the difference between the corporate tax rate and a tax rate related to the personal tax rates, can have either positive or negative values. We also provide an illustrative real options application of our valuation approach to the case of an option to delay investment in a project, showing that the application of Black and Scholes formula may be incorrect in presence of personal taxes.     

Effects of asset purchases and financial stability measures on term premia in the euro area

We study the effects of the announcements of ECB asset purchases and of financial stability measures in the euro area in the wake of the global financial crisis and the euro area sovereign debt crisis on 10-year government bond term premia in 11 euro area countries. We find that the term premia of euro area countries with higher sovereign risk, as measured by sovereign CDS spreads, decreased more in response to the announcements of asset purchases and financial stability measures. Term premia of countries with lowest sovereign risk either increased as in Germany, or were not significantly affected or fell slightly, as in the Netherlands and Finland.     

Sovereign default risk premia,fiscal limits,and fiscal policy

We develop a closed economy model to study the interactions among sovereign risk premia, fiscal limits, and fiscal policy. The fiscal limits, which measure the government's ability to service its debt, arise endogenously from dynamic Laffer curves. The state-dependent distributions of fiscal limits depend on the growth of lump-sum transfers, the size of the government, the degree of countercyclical policy responses, and economic diversity. The country-specific fiscal limits imply that the market perceives the riskiness of sovereign debt issued by different countries to be different, which is consistent with the observation that developed countries are downgraded at different levels of debt. A nonlinear relationship between sovereign risk premia and the level of government debt emerges in equilibrium, which is in line with the empirical evidence that once risk premia begin to rise, they do so rapidly. Nonlinear simulations show that fiscal austerity measures that aim to balance the government budget in the short run fail to contain the default risk premium, even with sizeable cuts in government purchases; but a long-term plan for fiscal reform, if it credibly changes the market's expectation about future fiscal policies, can alleviate the rising risk premium.     

A lattice approach for pricing convertible bond asset swaps with market risk and counterparty risk

This paper proposes a new lattice framework for valuing convertible bonds (CBs) and asset swaps on CBs (CBASs) with market risk and counterparty risk, where interest rate is assumed to follow a mean-reverting square root process. The reduced-form approach is generalized to include a constant elasticity of variance (CEV) process for equity price prior to default. In order to approximate the CEV process while taking into account stochastic interest rate and the correlation between stock price and interest rate, I first propose a transform that is uncorrelated with interest rate, and then construct a new lattice method which can ensure the validity of branching probabilities for all nodes. The lattice framework performs properly when it is used to value European call options. Based on the empirical results in Duffie et al. (J. Fin. Econ. 83(3): 635-665, 2007) and Jankowitsch et al. (J. Bank. Fin. 32(7): 1269-1285, 2008), a novel default intensity process is constructed which is specified as a function of time, stock price, and interest rate. When valuing the asset swaps, the counterparty risk is taken into consideration. Based on the results of the numerical experiments, the impacts of different parameters on the prices of CBs and CBASs are explained.     

An endogenous structural credit risk model incorporating with moral hazard and rollover risk

In this paper, we embed optimal contracting between the manager and equity holders into Leland-Toft endogenous structural credit risk model to study the impact of moral hazard on the firm's credit risk with rollover debts. Our model quantitatively shows that the agency costs induced by the moral hazard can endogenously have significant impacts on credit spreads, besides the costs of rolling over the maturing debts of the firm. It originates from the conflicts that these two costs should be covered by equity holders while both the manager and maturing debt holders are still paid in full. The numerical results show that the credit spread with the agency costs of moral hazard is larger than the one without the agency costs. Thus, the moral hazard could be used to explain “credit spread puzzle” as an endogenous factor. The explicit formulae of the equity value, the debt value, and the endogenous default boundary are also given.     

Junior is rich: bequests as consumption

We explore the consequences for asset pricing of admitting a bequest motive into an otherwise standard overlapping generations economy where agents trade equity, a risk free asset and consol bonds. With low risk aversion, the calibrated model produces realistic values for the mean equity premium and the risk free rate, the variance of the equity premium, and the ratio of bequests to wealth. However, the variance of the risk free rate is unrealistically high. Security prices tend to be substantially higher in an economy with bequests as compared to an otherwise identical one where bequests are absent. We are able to keep the prices sufficiently low to generate reasonable returns and premia by stipulating that a portion of the bequests skips a generation and is received by the young.

“You never actually own a Patek Philippe. You merely take care of it for the next generation.” Patek Philippe & Co.

We thank John Cox, Jean Pierre Danthine, Felix Kubler, Edward Prescott and seminar participants at The Bank of Italy, Columbia, Lausanne, Mannheim, MIT, Lugano, SIFR, the University of New South Wales, USC, Yale and the University of Zurich for insightful xcomments. The usual caveat applies.     

Equity risk premium and time horizon: What do the U.S. secular data say?

We consider a representative investor whose wealth is made up of the equity market portfolio and the riskless asset, and who maximizes the expected utility of his/her future wealth for a given horizon. The solution of this program shows that the equilibrium value of the equity risk premium – the latter being measured by the difference between the expected equity portfolio return and the risk-free interest rate – is given by the product of the price of risk by the expected variance of stock returns. When returns are predictable, these two magnitudes are both time-varying and horizon-dependent. In accordance with this theoretical framework, our paper presents an econometric model of the equity risk premia for two traditional horizons: the one-period-ahead horizon (i.e. the ‘short-term’ premium) and the infinite-time horizon (i.e. the ‘long-term’ premium). Using annual US secular data from 1871 to 2008, and representing the expected returns by mixing the three traditional adaptive, extrapolative and regressive processes, large disparities in the dynamics of the two premia are evidenced. Concerning the determination of the equilibrium values of the two premia, the expected variances depend on the past values of the centered squared returns while the prices of risk (unobservable variables) are estimated according to the Kalman filter methodology, which enables us to capture the influence of hidden variables and of non-directly measurable psychological effects. A spread of interest rates adds to this determination. Possibly due to risky arbitrage and transaction costs, the results show that observed premia gradually converge towards their equilibrium values, this process being described by an error correction model. Overall, our model provides a rather satisfactory representation of ‘short-term’ and ‘long-term’ premia.     

The pricing of bonds and bank loans in international markets: An empirical analysis of developing countries' foreign borrowing

Most recent empirical studies on creditworthiness and country risk have dealt with the international bank loan market, and have ignored the bond market in their effort to analyze the process of determination of default risk premia. In this paper data on both bank loans to the LDCs and on bonds issued by LDCs are used to analyze empirically several aspects related to developing countries' foreign borrowing and country risk. The paper analyzes three basic problems. First, some of the more important implications of modern models of LDCs foreign borrowing are tested. In particular the supposed positive effect of the level of indebtedness on the risk premium is investigated. Second, the pricing of bonds and bank loans are explicitly compared, in order to test whether, as sometimes has been argued, these two markets are significantly different. And third, data on yields on LDC bonds in the secondary market are analyzed to investigate the extent to which the market anticipated the debt crisis, and how it reacted to it.The main results obtained can be summarized as follows: First, both the bank loans and bonds data confirm some of the more important implications of foreign borrowing models. Specifically, the positive effect of higher debt ratios on the risk premium is confirmed. Second, it is found that the pricing of bonds and bank loans has somewhat differed. And third, it is found that the market anticipated by only a few weeks — and only partially — the world debt crisis of 1982. Finally, some policy implications that emerge from these findings are discussed.     

Rational Pessimism, Rational Exuberance, and Asset Pricing Models

The paper estimates and examines the empirical plausibility of asset pricing models that attempt to explain features of financial markets such as the size of the equity premium and the volatility of the stock market. In one model, the long-run risks (LRR) model of Bansal and Yaron, low-frequency movements, and time-varying uncertainty in aggregate consumption growth are the key channels for understanding asset prices. In another, as typified by Campbell and Cochrane, habit formation, which generates time-varying risk aversion and consequently time variation in risk premia, is the key channel. These models are fitted to data using simulation estimators. Both models are found to fit the data equally well at conventional significance levels, and they can track quite closely a new measure of realized annual volatility. Further, scrutiny using a rich array of diagnostics suggests that the LRR model is preferred.     

The interaction of investment and financing decisions under moral hazard

This paper examines how debt-induced risk shifting arising in the labor choice contributes to the interaction between investment and financing decisions. Due to equity's limited liability, increased use of debt leads to labor over-utilization compared with all-equity financing. In turn, increasing leverage to finance investment has no effect on the cost but, via labor, influences the expected benefit of marginal investment by affecting the size of shareholders' claim while reducing its likelihood. If the equity claim is reduced, investment and debt are inversely related; otherwise they could be positively related. The linkage between debt and investment exists because both are chosen anticipating the subsequent optimal labor choice, all three decisions are made before price uncertainty is resolved, and equity flotation costs exist.     

Rational inattention,long-run consumption risk,and portfolio choice

This paper explores how the introduction of rational inattention (RI) – that agents process information subject to finite channel capacity – affects optimal consumption and investment decisions in an otherwise standard intertemporal model of portfolio choice. We first explicitly derive optimal consumption and portfolio rules under RI and then show that introducing RI reduces the optimal share of savings invested in the risky asset because inattentive investors face greater long-run consumption risk. We also show that the investment horizon matters for portfolio allocation in the presence of RI, even if investment opportunities are constant and the utility function of investors is constant relative risk aversion. Second, after aggregating across investors, we show that introducing RI can better explain the observed joint dynamics of aggregate consumption and the equity return. Finally, we show that RI increases the implied equity premium because investors under RI face greater long-run consumption risk and thus require higher compensation in equilibrium.     

Foreign currency debt, risk premia and macroeconomic volatility

This paper studies the relationships between foreign currency debt, macroeconomic volatility, and risk premia in a model of a small open emerging market economy. The external value of the local currency is counter-cyclical, so that foreign currency debt requires larger repayments than local currency debt in bad states of nature. The level of foreign currency-denominated debts, therefore, affects the volatility of aggregate demand and by extension of the exchange rate. Exchange rate volatility is in turn an important determinant of the risk premium on local currency debt. Finally, this risk premium is a major factor in the choice of local versus foreign currency for emerging market borrowers. The mutual endogeneity of foreign currency debt, risk premia, and macroeconomic volatility creates important feedback effects in the economy: small increases in international risk aversion may entail large amplification effects on macroeconomic volatility since domestic borrowers substitute towards cheaper but riskier foreign currency debt finance.     

Securitization of mortgage debt,domestic lending,and international risk sharing

Abstract Securitization makes mortgage‐related risks internationally tradeable and thus contributes considerably to the international diversification of macroeconomic risk: in the years 2003–2008, the increase in international cross‐holdings of securitized mortgage debt has lowered industrialized countries’ conditional consumption volatility (relative to the United States) by about 10–15 percentage points. We turn to the role of domestic credit in explaining this result. Domestic credit leads to better international risk sharing only if debt is securitized and traded internationally. Conversely, the risk‐sharing benefits from securitization seem to evaporate if credit dries up – as it did in the recent financial crisis.     

Optimal asset taxes in financial markets with aggregate uncertainty

This paper studies Pareto-optimal risk-sharing arrangements in a private information economy with aggregate uncertainty and ex ante heterogeneous agents. I show how to implement Pareto optima as equilibria when agents can trade claims to consumption contingent on aggregate shocks in financial markets. The first result is that if aggregate and idiosyncratic shocks are independent, the implementation of optimal allocations does not require any interventions in financial markets. This result can be extended to dynamic settings in the sense that, in this case, only savings need to be distorted, but not trades in financial markets. Second, I characterize optimal trading distortions in financial markets when aggregate and idiosyncratic shocks are not independent. In this case, optimal asset taxes must be higher for those securities that pay out in aggregate states in which consumption is more volatile. For instance, this can provide an efficiency justification for the frequently observed differential tax treatment of different asset classes, such as debt and equity claims.     

The relationship between risk-neutral and actual default probabilities: the credit risk premium

The study investigates empirically the relationship between the risk-neutral measure Q and the real-world measure P. We study the ratio between the risk-neutral and actual default intensities, which we call the coverage ratio or the relative credit risk premium. Actual default intensities are derived from rating agencies annual transition matrices, while risk-neutral default intensities are bootstrapped from CDS quotes of European corporates. We quantify the average risk premium and its changes over time. Compared to related literature, special attention is given to the effects of the recent financial and European sovereign crises. We find that average credit risk premia rose substantially and that post-crisis levels are still higher than those observed before the financial crisis. This observation is especially true for high-quality debt and if it persists, it will have an impact on corporates funding costs. The quantification and revision of risk premia contributes to the discussion of the credit spread puzzle and could give extra insights in valuation models that start from real-world estimates. Our work is furthermore important in the context of state aid assessment. The real economic value (REV) methodology, applied by the European Commission to evaluate impaired portfolios, is based on a long-term average risk premium.     

Asset prices in a Huggett economy

This paper explores asset pricing in economies where there is no direct insurance against idiosyncratic risks but other assets can be used for self-insurance, subject to exogenously-imposed borrowing limits. We analyze an endowment economy, based on Huggett (1993) [11], both with and without aggregate risk. Our main innovation is that we obtain full analytical tractability by studying the case with “maximally tight” borrowing constraints. We illustrate by looking at riskless bonds, equity, and the term structure of interest rates, and we show that the model can reproduce many features of observed asset prices when idiosyncratic risks are quantitatively reasonable.     

Debt policy, corporate taxes, and discount rates

This paper applies the standard risk-neutral valuation framework to tax shields generated by dynamic debt policies. We derive a partial differential equation (PDE) for the value of the debt tax shield. For a class of dynamic debt policies that depend on the asset's free cash flows, value, and past performance, we obtain closed-form solutions for the PDE. We also derive the tax-adjusted cost of capital for free cash flows and analyze the conditions under which the weighted average cost of capital is an appropriate discount rate. Finally, we derive closed-form solutions for equity betas, which differ from the formulas that have traditionally been used to lever and unlever equity betas.     

Corporate Debt,Hybrid Securities,and the Effective Tax Rate

Effective tax rates (ETRs) are useful tools to make comparisons between different tax systems. However, the existing ETR measures are based on rather simplifying assumptions. In particular, they disregard the existence of different kinds of debt and hybrid securities. In this paper, we use contingent‐claim analysis to calculate the ETR. We will therefore deal with both pure debt and two of the most well‐known hybrid securities, that is, convertible and reverse convertible bonds. We will show that effective taxation crucially depends on the characteristics of debt and that the existing measures of ETR can be dramatically biased, since they account neither for default risk nor for the ability to convert debt into equity.     

Currency devaluations,aggregate demand,and debt dynamics in economies with foreign currency liabilities

The article uses a post Kaleckian model to analyze how currency devaluations affect aggregate demand and capital accumulation in an economy with foreign currency liabilities in the short-run. In benchmark post Kaleckian open economy models, currency devaluations have two effects. First, they change international price competitiveness and thus affect net exports. Second, devaluations change income distribution and thereby affect consumption and investment demand. The overall effect on aggregate demand and investment is ambiguous and depends on parameter values. Existing models, however, disregard balance sheet effects that arise from foreign currency-denominated external debt. The article develops a novel post Kaleckian open economy model that introduces foreign currency-denominated external debt and balance sheet effects to examine the demand-effects of devaluations. Furthermore, the article models the dynamics of external and domestic corporate debt. It discusses how an economy may end up in a vicious cycle of foreign-currency indebtedness and derives the conditions under which indebtedness becomes stable or unstable. It shows that the existence of foreign currency-denominated debt means that contractionary devaluations are more likely, and that foreign interest rate hikes, and high illiquidity and risk premia compromise debt sustainability. Devaluations only stabilize debt ratios if they succeed in boosting domestic capital accumulation.