[Investors' learning of the state of future real fundamentals from current inflation leads to macroeconomic state dependence of asset valuations and solvency ratios of firms within given rating categories. Since credit spreads are convex functions of solvency ratios, average spreads are higher than spreads at average solvency ratios. Macroeconomic shocks carry risk premiums so that expected default losses are more sensitive to changes in the price of risk than are credit spreads. By incorporating state dependence and increasing the price of risk, the econometrician obtains high credit spreads while maintaining average default losses at historical levels--the credit spreads puzzle.]

Shocks to equity options' implied volatility are followed by persistently lower short-term rates. Shocks to puts' over calls' out-of-the-money implied volatilities (P/C) are followed by persistently higher rates. Stock and Treasury bond implied volatilities, which measure market and policy uncertainty, are countercyclical, while P/C, which measures downside risk, is procyclical. An equilibrium model in which investors and the central bank learn about composite regimes of economic and policy variables explains these dynamics, linking them to a learning-based, forward-looking Taylor rule. Survey data support our model's predictions on the effect of uncertainty on the level and fluctuations of implied volatilities.

The average relative profitability of different firms in the economy jumps erratically. Al? though investors are unable to observe these productivity switches, they continuously update their beliefs regarding high and low productivity firms by observing the total return on each firm, which consists of the average productivity plus noise. The portfolio choices, interest rate, and stock return processes are derived in a Cox-Ingersoll-Ross (1985a) style general equilibrium model. Three stylized facts of stock market returns are addressed: negative skewness, excess kurtosis, and predictive asymmetry (excess returns and future changes in volatility are negatively correlated). To measure the last stylized fact, an EGARCH model is fitted to sample paths simulated from the model. Parameter values that permit faster learning fit the three facts better. I. Introduction This paper has three purposes. First, it presents the special properties of a filter in continuous time that characterizes the dynamics of Bayesian learning about recurrent profitability switches and their relation to fluctuating confidence. Second, the paper shows how fluctuating confidence, which arises due to this up? dating process, is reflected in the statistical properties of interest rate and stock return processes in a Cox-Ingersoll-Ross (1985a and b) (henceforth, CIR) stochas? tic production economy. Portfolio adjustments to hedge the exposure of the risk associated with these fluctuations are discussed. Finally, the paper draws some re? lationships between the speed of learning and the ability of the model to replicate three stylized facts about stock market returns. I argue that the often used Kalman filtering problem is not suitable to model fluctuating confidence and to replicate the three stylized facts.

Putable security holders have a de facto first claim on the firm's liquid assets and can threaten to force solvent issuers to bear financial distress costs. Their threatening power implies that the puts have a strategic value larger than their intrinsic value. Strategic value depends on the issuer's size, potential distress costs, and the distribution of put ownership relative to the firm's liquidity position. The analysis of Kmart's put-induced crisis in 1995, and a calibration to observed secondary market yield reductions on poison put bonds, shows that strategic value is an important determinant of payouts received by bondholders.

Investment by oil firms positively affects the futures basis and negatively predicts excess returns on crude oil futures. I build an equilibrium model of drilling, exploration, and storage to understand these facts. Firms’ capital stock lowers extraction costs as firms drill in increasingly expensive fields. Drilled wells produce the resource at a geometrically declining rate; however, by specifying consumers’ habit level equaling production from old wells, the futures basis and risk premium are only related to drilling, investment, and inventory. Investment leads to a more elastic drilling response by firms and dampens oil price increases from demand shocks, thus lowering the risk premium. Received October 10, 2015; editorial decision March 30, 2018 by Editor Philip Strahan.

Investors' learning of the state of future real fundamentals from current inflation leads to macroeconomic state dependence of asset valuations and solvency ratios of firms within given rating categories. Since credit spreads are convex functions of solvency ratios, average spreads are higher than spreads at average solvency ratios. Macroeconomic shocks carry risk premiums so that expected default losses are more sensitive to changes in the price of risk than are credit spreads. By incorporating state dependence and increasing the price of risk, the econometrician obtains high credit spreads while maintaining average default losses at historical levels—the credit spreads puzzle. The Author 2007. Published by Oxford University Press on behalf of The Society for Financial Studies. All rights reserved. For Permissions, please email: [email protected]., Oxford University Press.

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Shocks to equity options' implied volatility are followed by persistently lower short-term rates. Shocks to puts' over calls' out-of-the-money implied volatilities (P/C) are followed by persistently higher rates. Stock and Treasury bond implied volatilities, which measure market and policy uncertainty, are countercyclical, while P/C, which measures downside risk, is procyclical. An equilibrium model in which investors and the central bank learn about composite regimes of economic and policy variables explains these dynamics, linking them to a learning-based, forward-looking Taylor rule. Survey data support our model's predictions on the effect of uncertainty on the level and fluctuations of implied volatilities.

Agents with heterogeneous beliefs about fundamental growth do not share risks perfectly but instead speculate with each other on the relative accuracy of their models' predictions. They face the risk that market prices move more in line with the trading models of competing agents than with their own. Less risk‐averse agents speculate more aggressively and demand higher risk premiums. My calibrated model generates countercyclical consumption volatility, earnings forecast dispersion, and cross‐sectional consumption dispersion. With a risk aversion coefficient less than one, agents' speculation causes half the observed equity premium and lowers the riskless rate by about 1%.

This paper shows that standard disaster risk models are inconsistent with movements in stock market volatility and credit spreads during disasters. We resolve this shortcoming by incorporating persistent macroeconomic crises into a structural credit risk model. The model successfully captures the joint dynamics of aggregate consumption, financial leverage, and asset market risks, both unconditionally and during crises. Leverage strongly amplifies fundamental shocks by continuing to rise while crises endure. We structurally estimate the model and show that it replicates the firm-level implied volatility curve and its cross-sectional relation with observable proxies of default risk.