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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 ...
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Anxiety in the face of risk
We model an ?anxious? agent as one who is more risk averse with respect to imminent risks than with respect to distant risks. Based on a utility function that captures individual subjects? behavior in experiments, we provide a tractable theory relaxing the restriction of constant risk aversion across horizons and show that it generates rich implications. We first apply the model to insurance markets and explain the high premia for short-horizon insurance. Then, we show that costly delegated portfolio management, investment advice, and withdrawal fees emerge as endogenous features and ...
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Term structures of asset prices and returns
We explore the term structures of claims to a variety of cash flows: U.S. government bonds (claims to dollars), foreign government bonds (claims to foreign currency), inflation-adjusted bonds (claims to the price index), and equity (claims to future equity indexes or dividends). Average term structures reflect the dynamics of the dollar pricing kernel, of cash flow growth, and of their interaction. We use simple models to illustrate how relationships between the two components can deliver term structures with a wide range of levels and shapes.
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Betting against beta (and gamma) using government bonds
Purportedly consistent with ?risk parity? (RP) asset allocation, recent studies document compelling ?low risk? trading strategies that exploit a persistently negative relation between Sharpe ratios (SRs) and maturity along the U.S. Treasury (UST) term structure. This paper extends this evidence on betting against beta with government bonds (BABgov) in four respects. First, out-of-sample tests suggest that excess returns may have waned somewhat recently and that the pattern seems most pronounced for USTs given data on ten other previously unexamined government bond markets. Second, BABgov ...
Discussion Paper
Are Stocks Cheap? A Review of the Evidence
We surveyed banks, we combed the academic literature, we asked economists at central banks. It turns out that most of their models predict that we will enjoy historically high excess returns for the S&P 500 for the next five years. But how do they reach this conclusion? Why is it that the equity premium is so high? And more importantly: Can we trust their models?
Working Paper
The Benefit of Inflation-Indexed Debt: Evidence from an Emerging Bond Market
Portfolio diversification is as important to debt management as it is to asset management. In this paper, we focus on diversification of sovereign debt issuance through greater reliance on inflation-indexed bonds for a representative emerging economy, Colombia. Using an arbitrage-free dynamic term structure model of fixed-coupon and inflation-indexed bond prices, we account for inflation and liquidity risk premia and calculate the net benefit of issuing inflation-indexed bonds over nominal bonds. Our results suggest that the Colombian government could lower its funding costs by as much as ...
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Global variance term premia and intermediary risk appetite
Sellers of variance swaps earn time-varying risk premia for their exposure to realized variance, the level of variance swap rates, and the slope of the variance swap curve. To measure risk premia, we estimate a dynamic term structure model that decomposes variance swap rates into expected variances and term premia. Empirically, we document a strong global factor structure in variance term premia across the U.S., U.K., Europe, and Japan. We further show that variance term premia are negatively correlated with the risk appetite of hedge funds, broker-dealers, and mutual funds. Our results ...
Working Paper
Does the Yield Curve Predict Output?
Does the yield curve have the ability to predict output and recessions? At some times and in certain places, of course! But many details are matters of dispute: When and where does the yield curve predict successfully, which aspects of the curve matter most, and which economic forces account for the predictive ability? Over the years, an increasingly sophisticated set of tools, both statistical and theoretical, have addressed these issues. For the US, an inverted yield curve, particularly when the spread between the yield on 10-year and 3-month Treasuries becomes negative, has been a robust ...
Working Paper
Quantitative Easing and Safe Asset Scarcity: Evidence from International Bond Safety Premia
Through large-scale asset purchases, widely known as quantitative easing (QE), central banks around the world have reduced the available supply of safe assets. We examine the effects of the European Central Bank’s asset purchases in the 2015-2021 period on an international panel of bond safety premia from four highly rated countries: Denmark, Germany, Sweden, and Switzerland. We find statistically significant negative effects for all four countries. This points to a novel and important international spillover channel of QE programs to bond safety premia that operates via changes in the ...
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.