Search Results
Working Paper
From Which Consumption-Based Asset Pricing Models Can Investors Profit? Evidence from Model-Based Priors
This paper compares consumption-based asset pricing models based on the forecasting performance of investors who use economic constraints derived from the models to predict the equity premium. Three prominent asset pricing models are considered: Habit Formation, Long Run Risk, and Prospect Theory. I propose a simple Bayesian framework through which the investors impose the economic constraints as model-based priors on the parameters of their predictive regressions. An investor whose prior beliefs are rooted in the Long Run Risk model achieves more accurate forecasts overall. The greatest ...
Discussion Paper
Equity Volatility Term Premia
Investors can buy volatility hedges on the stock market using variance swaps or VIX futures. One motivation for hedging volatility is its negative relationship with the stock market. When volatility increases, stock returns tend to decline contemporaneously, a result known as the leverage effect. In this post, we measure the cost of volatility hedging by decomposing the prices of variance swaps and VIX futures into volatility forecasts and estimates of expected returns (“equity volatility term premia”) from January 1996 to June 2020.
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Equity Volatility Term Premia
This paper estimates the term-structure of volatility risk premia for the stock market. Realized variance term premia are increasing in systematic risk and predict variance swap returns. Implied volatility term premia are decreasing in risk initially, but then increase at a lag, predicting VIX futures returns. By modeling the logarithm of realized variance, the paper derives a closed-form relationship between the prices of variance swaps and VIX futures. The model provides accurate pricing and highlights periods of dislocation between the index options and VIX futures markets. Term premia ...
Discussion Paper
The Law of One Price in Equity Volatility Markets
Can option traders take a square root? Surprisingly, maybe not. This post shows that VIX futures prices exhibit significant deviations from their option-implied upper bounds—the square root of variance swap forward rates—thus violating the law of one price, a fundamental concept in economics and finance. The deviations widen during periods of market stress and predict the returns of VIX futures. Just as the stock market struggles with multiplication, the equity volatility market appears unable to take a square root at times.
Report
There Is No Excess Volatility Puzzle
We present two valuation models which we use to account for the annual data on price per share and dividends per share for the CRSP Value-Weighted Index from 1929 to 2023. We show that it is a simple matter to account for these data based purely on a model of variation over time in the expected ratio of dividends per share to aggregate consumption under two conditions. First, investors must receive news shocks regarding the expected ratio of dividends per share to aggregate consumption in the long run. Second, the discount rate used to evaluate the impact of this news on the current price per ...
Report
Option-implied term structures
This paper proposes a nonparametric sieve regression framework for pricing the term structure of option spanning portfolios. The framework delivers closed-form, nonparametric option pricing and hedging formulas through basis function expansions that grow with the sample size. Novel confidence intervals quantify term structure estimation uncertainty. The framework is applied to estimating the term structure of variance risk premia and finds that a short-run component dominates market excess return predictability. This finding is inconsistent with existing asset pricing models that seek to ...
Working Paper
Institutions and return predictability in oil-exporting countries
We study whether stock market returns in oil-exporting countries can be predicted by oil price changes, and we investigate the link between predictability and the quality of each country's institutions. Returns are predictable for half the countries we consider, and predictability is stronger when institutional quality is lower. We argue that the relation between predictability and institutional quality reflects the preference of countries with weaker institutions to consume oil windfalls locally rather than smooth out the impact of windfalls by, for instance, investing the proceeds through a ...
Working Paper
Learning, Rare Disasters, and Asset Prices
In this paper, we examine how learning about disaster risk affects asset pricing in an endowment economy. We extend the literature on rare disasters by allowing for two sources of uncertainty: (1) the lack of historical data results in unknown parameters for the disaster process, and (2) the disaster takes time to unfold and is not directly observable. The model generates time variation in the risk premium through Bayesian updating of agents' beliefs regarding the likelihood and severity of disaster realization. The model accounts for the level and volatility of U.S. equity returns and ...
Working Paper
Risk-on/Risk-off: Measuring Shifts in Investor Sentiment
A new, high frequency measure of investor sentiment outperforms similar measures in forecasting investment activity in emerging markets.
Working Paper
Ambiguity, Long-Run Risks, and Asset Prices
I generalize the long-run risks (LRR) model of Bansal and Yaron (2004) by incorporatingrecursive smooth ambiguity aversion preferences from Klibanoff et al. (2005, 2009) and time-varyingambiguity. Relative to the Bansal-Yaron model, the generalized LRR model is as tractable but moreflexible due to its separation of ambiguity aversion from both risk aversion and the intertemporalelasticity of substitution. This three-way separation allows the model to further account for thevariance premium puzzle besides the puzzles of the equity premium, the risk-free rate, and the returnpredictability. ...