Financial intermediation in the theory of the risk-free rate

This paper constructs a general equilibrium model of the interaction between financial intermediaries and financial markets that sheds some light on the short-term volatility of real interest rates. The main findings of the paper are as follows. When financial intermediaries issue contingent (non-contingent) liabilities, an increase in the consumers’ relative risk aversion coefficient decreases (increases) the interest rate. Also, the interest rate rises when capitalists are less risk-averse and financial intermediaries are hit by a liquidity shock.     

Banks' option to lend,interest rate sensitivity,and credit availability

Interest rate risk is a major concern for banks because of the nominal nature of their assets and the asset-liability maturity mismatch. This paper proposes a new way to derive a bank's interest rate sensitivity, by examining separately the effects of interest rate changes on existing loans(loans-in-place) and potential loans (loans-in-process). A potential loan is shown to be equivalent to an American option to lend, and is valued using option theory. An increase in interest rates generally has a negative effect on existing loans. However, if both deposit and lending rates rise by the same amount, the value of a potential loan generally increases. Hence a bank's lending slack (or ratio of loans-in-process to loans-in-place) will determine its overall interest rate risk. Empirical evidence indicates that low-slack banks indeed have significantly more interest rate risk than high-slack banks. The model also makes predictions regarding the effect of deposit and lending rate parameters on bank credit availability. Empirical tests with quarterly data are generally supportive of these predictions. This revised version was published online in June 2006 with corrections to the Cover Date.     

On the determinants of bank interest margins under credit and interest rate risks

This paper explores the determinants of optimal bank interest margins based on a simple firm-theoretical model under multiple sources of uncertainty and risk aversion. The model demonstrates how cost, regulation, credit risk and interest rate risk conditions jointly determine the optimal bank interest margin decision. We find that the bank interest margin is positively related to the bank's market power, to the operating costs, to the degree of credit risk, and to the degree of interest rate risk. An increase in the bank's equity capital has a negative effect on the spread when the bank faces little interest rate risk. The effect of rising interbank market rate on the spread is ambiguous and depends on the net position of the bank in the interbank market. Our findings provide alternative explanations for the empirical evidence concerning bank spread behavior.     

Saving under uncertainty: A bivariate non-expected utility approach

We adopt the multivariate non-expected utility approach proposed by Yaari [1986] to provide a characterization of the comparative statics effects of greater risk aversion and of mean-preserving increases in risk on saving and borrowing in the presence of income and interest rate risk.We show that in Yaari's model, it is possible to extend the applicability of the Diamond and Stiglitz [1974] and Kihlstrom and Mirman [1974] (DSKM) single-crossing property to establish a relationship between greater risk aversion and saving (or borrowing) on the basis of the individual's ordinal preferences as long as the two risks are independent. We also demonstrate that the comparative statics effects of a joint mean-preserving increase in random income and interest rate on saving and borrowing can be determined by an extension of the DSKM single-crossing property.     

Money,interest rates,and risk

This paper analyzes the role of the risk in the form of the volatility of open market interest rates as a factor in the demand for money. We demonstrate, using an inventory theoretic model of money demand, that increases in interest rate volatility will increase the demand for money. We then present empirical evidence that the demand for money has been influenced by alterations in the volatility of open market rates using standard specifications of the demand for money.     

The effect of temporal risk aversion on liquidity preference

In most instances, investors are not indifferent to risk. Their attitudes toward it influence their decisions. Temporal risk aversion, the dynamic analogue of the usual concept of risk aversion, has a marked effect on investors' decisions but is usually ignored in the literature. This paper investigates the liquidity preference of temporally risk-averse investors. The analysis shows that, all other things being equal, temporal risk aversion reduces the liquidity premium investors must receive to hold an asset that is not perfectly reversible. Thus, the optimal investment policy is closer to what one would expect had a frictionless exchange market existed for the irreversible asset. As far as an individual's investment behavior is concerned, temporal risk aversion counters the effects of an asset's irreversibility and tends to compensate for the absence of frictionless exchange.     

The economics of interest rates

The paper looks at the behavior of investors in an economy consisting of a production process controlled by a state variable representing the state of technology. The participants in the economy maximize their individual utilities of consumption. Each participant has a constant relative risk aversion. The degrees of risk aversion, as well as the time preference functions, differ across participants. The participants may lend and borrow among themselves, either at a floating short rate, or by issuing or buying term bonds. We derive conditions under which such an economy is in equilibrium, and obtain equations determining interest rates.     

Time-varying international diversification and the forward premium

This paper reproduces the slope of the uncovered interest rate parity (UIP) regression for ten country pairs within one standard deviation under rational expectations. We propose an infinite horizon dynamic stochastic general equilibrium model with incomplete markets. Heterogeneous investors experience varying risk aversion as a result of habit formation.The underlying mechanism of the model relies on varying international diversification in the investors' portfolio choice decision. In response to their changing habit levels, investors' hedging desire varies over time. This leads to adjustments in interest rates. The habit-induced investment decisions are negatively correlated with movements in the exchange rate. This results in a negative correlation between interest rates and expected exchange rates, as implied by a negative UIP slope.Depending on the magnitude of habits, the model is capable of reproducing positive as well as negative UIP slopes, as seen empirically in the data.     

A Utility-Based Model of Common Stock Price Movements

This paper develops and tests a nonlinear utility-based econometric model of the temporal behavior of aggregate stock price movements based on a constant relative risk aversion utility function and an observable information set consisting of aggregate consumption, aggregate dividends, and past stock prices. The stochastic process derived from time-series analyses of consumption and dividends measured over annual intervals is used to derive and empirically test a closed-form solution for stock-price movements. The endogenization of discount rate changes in the utility-based model is shown to be more consistent with aggregate stock price movements over a twenty-year holdout period than constant discount rate models. The model is also used to estimate the representative investor's relative risk aversion. The estimate of 4.22 is consistent with that used by Grossman and Shiller in their perfect foresight model and is significantly higher than the relative risk aversion of 1.0 implied by logarithmic utility.     

Public Versus Private Insurance with Dual Theory: A Political Economy Argument

This paper analyzes the political support for public insurance in the presence of a private insurance alternative. The public insurance is compulsory and offers a uniform insurance policy. The private insurance is voluntary and can offer different insurance policies. Adopting Yaari's [Econometrica, 55, 95–115, 1987] dual theory to expected utility (i.e., risk aversion without diminishing marginal utility of income), we show that adverse selection on the private insurance market may lead a majority of individuals to prefer public insurance over private insurance, even if the median risk is below the average risk (so that the median actually subsidizes high-risk individuals). We also show that risk aversion makes public insurance more attractive and that the dual theory is less favourable to a mixed insurance system than the expected utility framework. Lastly, we demonstrate how the use of genetic tests may threaten the political viability of public insurance.     

Gender matters most. The impact on short‐term risk aversion following a financial crash

This paper examines how investors in an emerging market react to a domestic financial crisis. We conjecture that risk aversion increases following such events and that the effect is more pronounced among specific groups of investors. Our study makes use of a unique dataset of mutual fund investors from one of Colombia's largest stock brokers. Our results reveal that women and self‐employed individuals make the largest withdrawals from risky funds after financial crises.     

Precautionary Saving and Consumption Smoothing across Time and Possibilities

This paper examines how aversion to risk and aversion to intertemporal substitution determine the strength of the precautionary saving motive in a two-period model with Selden/Kreps–Porteus preferences. For small risks, we derive a measure of the strength of the precautionary saving motive that generalizes the concept of "prudence" introduced by Kimball (1990b) . For large risks, we show that decreasing absolute risk aversion guarantees that the precautionary saving motive is stronger than risk aversion, regardless of the elasticity of intertemporal substitution. Holding risk preferences fixed, the extent to which the precautionary saving motive is stronger than risk aversion increases with the elasticity of intertemporal substitution. We derive sufficient conditions for a change in risk preferences alone to increase the strength of the precautionary saving motive and for the strength of the precautionary saving motive to decline with wealth. Within the class of constant elasticity of intertemporal substitution, constant-relative risk aversion utility functions, these conditions are also necessary.     

A Cost-Benefit Analysis of the Thailand Taxpayer Survey

We investigate whether more resources should be devoted to a Thai tax enforcement program which is aimed at bringing small businesses into the tax system. We show that the appropriate criteria for determining whether more resources should be devoted to tax enforcement is whether the Atkinson–Stern condition for the optimal provision of a publicly-provided good is satisfied, or equivalently, whether the marginal cost of finds obtained through additional tax enforcement, SMCF_p, is less than the marginal cost of funds obtained through raising tax rates, SMCF_t. In our base case scenario, the SMCF_p is 11.60 which exceeds our estimate of the SMCF_t for an across-the-board increase in income tax rates on wage earners. The use of pro-poor distributional weights makes expanding the survey less attractive if the alternative way of obtaining additional tax revenue is an across-the-board income tax rate increase, while aversion to tax evasion makes it more attractive.     

How does owners’ exposure to idiosyncratic risk influence the capital structure of private companies?

This paper identifies the owner's exposure to idiosyncratic risk as an important determinant of the demand for loans and the capital structure of private companies. The analysis is based on a sample of small and medium-sized companies from the United States. The exposure to idiosyncratic risk is approximated by the share of personal net worth invested in one company (SNWI). Exposure to idiosyncratic risk increases the cost of equity capital, since higher equity returns are required as compensation. This therefore makes bank financing more attractive. We find that SNWI increases both the demand for new bank loans and leverage substantially.     

What drives stochastic risk aversion?

This paper examines determinants of stochastic relative risk aversion in conditional asset pricing models. Novel time-series specification tests are proposed as direct extensions of Guo, Wang, and Yang (2013, JMCB)'s model using nonlinear state-space models with heteroskedasticity. I then establish the following facts. First, the surplus consumption ratio implied by the external habit formation model is the most important determinant of relative risk aversion. Second, the CAY of Lettau and Ludvigson (2001a) without a look-ahead bias and the short term interest rate explain part of relative risk aversion. Third, the estimated risk aversion from 1957Q2 to 2010Q3 is countercyclical and positive. Finally, the selected models explain part of the momentum and the financial distress premiums.     

Constant Absolute Risk Aversion Preferences and Constant Equilibrium Interest Rates

This paper constructs a general equilibrium model with endogenous stochastic production and establishes that the equilibrium interest rate can be constant in a closed production economy when the preferences are represented by constant absolute risk aversion utility functions. The results in this paper and their limitations are compared and contrasted with related contributions in the financial economics literature.     

The Asian Financial Crisis and Investors’ Risk Aversion

This paper investigates whether changes in U.S. and Japanese banks’ risk aversion, measured by changes in the relative risk aversion (RRA) coefficient, are associated with the 1997 Asian financial crisis. It finds that an increase in U.S. banks’ risk aversion is unambiguously associated with the Asian crisis, while an increase in Japanese banks’ risk aversion is only weakly associated. The results suggest that, in addition to deteriorating fundamentals of the affected countries, investors’ (banks’) increased risk aversion appears to have reinforced observed capital outflows.     

Markets versus governments

We provide a simple framework for comparing market allocations with government-regulated allocations. Governments can collect information about individuals’ types and enforce transfers across individuals. Markets (without significant government intervention) have to rely on transactions that are ex post beneficial for individuals. Consequently, governments achieve better risk sharing and consumption smoothing than markets. However, politicians in charge of collective decisions can use the centralized information and the enforcement power of government for their own benefits. This leads to political economy distortions and rents for politicians, making government-operated allocation mechanisms potentially worse than markets. We provide conditions under which it is ex ante beneficial for the society to tolerate the political economy distortions in exchange for the improvement in risk sharing. For example, more effective controls on politicians or higher discount factors of politicians make governments more attractive relative to markets. Moreover, when markets cannot engage in self-enforcing risk-sharing arrangements and income effects are limited, greater risk aversion and greater uncertainty make governments more attractive relative to markets. Nevertheless, we also show theoretically and numerically that the effect of risk aversion on the desirability of markets may be non-monotonic. In particular, when markets can support self-enforcing risk-sharing arrangements, a high degree of risk aversion improves the extent of risk sharing in markets and makes governments less necessary. The same pattern may also arise because of “income effects” on labor supply. Consequently, the welfare gains of governments relative to markets may have an inverse U-shape as a function of the degree of risk aversion of individuals.     

Preference heterogeneity and asset prices: An exact solution

We introduce a general equilibrium model of a multi-agent, pure-exchange economy and find a set of conditions that enable us to obtain explicit closed-form solutions to the equilibrium interest rate, stock price, risk premium and stock market volatility when investors have heterogenous risk aversions. Because the market is dynamically complete, full risk sharing obtains and a representative agent can be constructed, though the risk aversion of this agent fluctuates over time with the state of the economy, as the relative wealth distribution of the individual investors changes. We show that preference heterogeneity can cause asset prices to be significantly more volatile than the underlying dividends and that it can lead to leverage-like effects in volatility, in the sense that volatility increases after stock-market declines.     

A Monte Carlo Method for Optimal Portfolios

This paper proposes a new simulation-based approach for optimal portfolio allocation in realistic environments with complex dynamics for the state variables and large numbers of factors and assets. A first illustration involves a choice between equity and cash with nonlinear interest rate and market price of risk dynamics. Intertemporal hedging demands significantly increase the demand for stocks and exhibit low volatility. We then analyze settings where stock returns are also predicted by dividend yields and where investors have wealth-dependent relative risk aversion. Large-scale problems with many assets, including the Nasdaq, SP500, bonds, and cash, are also examined.