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Report
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 ...
Discussion Paper
Tax Reform's Impact on Bank and Corporate Cyclicality
The Tax Cuts and Jobs Act (TCJA) is expected to increase after-tax profits for most companies, primarily by lowering the top corporate statutory tax rate from 35 percent to 21 percent. At the same time, the TCJA provides less favorable treatment of net operating losses and limits the deductibility of net interest expense. We explain how the latter set of changes may heighten bank and corporate borrower cyclicality by making bank capital and default risk for highly levered corporations more sensitive to economic downturns.
Report
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 Low Volatility Puzzle: Are Investors Complacent?
In recent months, some analysts and policymakers have raised concerns about the unusually low level of stock market volatility. For example, in the June Federal Open Market Committee (FOMC) minutes ?a few participants expressed concern that subdued market volatility, coupled with a low equity premium, could lead to a buildup of risks to financial stability.? In this post, we review this concern and find the evidence on investor complacency is mixed. On one hand, we present a view suggesting that historical volatility may have been abnormally high, rather than current volatility being ...
Report
Merger options and risk arbitrage
Option prices embed predictive content for the outcomes of pending mergers and acquisitions. This is particularly important in merger arbitrage, where deal failure is a key risk. In this paper, I propose a dynamic asset pricing model that exploits the joint information in target stock and option prices to forecast deal outcomes. By analyzing how deal announcements affect the level and higher moments of target stock prices, the model yields better forecasts than existing methods. In addition, the model accurately predicts that merger arbitrage exhibits low volatility and a large Sharpe ratio ...
Discussion Paper
Short-Dated Term Premia and the Level of Inflation
Since the advent of derivatives trading on short-term interest rates in the 1980s, financial commentators have often interpreted market prices as directly reflecting the expected path of future interest rates. However, market prices generally embed risk premia (or “term premia” in reference to measures of risk premia over different horizons) reflecting the compensation required to bear the risk of the asset. When term premia are large in magnitude, derivatives prices may differ substantially from investor expectations of future rates. In this post, we assess whether term premia have ...
Report
Bank-intermediated arbitrage
We argue that post-crisis banking regulations pass through from regulated institutions to unregulated arbitrageurs. We document that, once post-crisis regulations bind post 2014, hedge funds use a larger number of prime brokers and diversify away from GSIB-affiliated prime brokers, and that the match to such prime brokers is more fragile. Tighter regulatory constraints disincentivize regulated institutions not only to engage in arbitrage activity themselves but also to provide leverage to other arbitrageurs. Indeed, we show that the maximum leverage allowed and the implied return on basis ...
Report
The Law of One Price in Equity Volatility Markets
This paper documents law of one price violations in equity volatility markets. While tightly linked by no-arbitrage restrictions, the prices of VIX futures exhibit significant deviations relative to their option-implied upper bounds. Static arbitrage opportunities occur when the prices of VIX futures violate their bounds. The deviations widen during periods of market stress and predict the returns of VIX futures. A relative value trading strategy based on the deviation measure earns a large Sharpe ratio and economically significant alpha-to-margin. There is evidence that systematic risk and ...
Discussion Paper
The COVID-19 Pandemic and the Fed’s Response
The Federal Reserve has taken unprecedented actions to mitigate the effects of the COVID-19 pandemic on U.S. households and businesses. These measures include cutting the Fed’s policy rate to the zero lower bound, purchasing Treasury and mortgage-backed securities (MBS) to promote market functioning, and establishing several liquidity and credit facilities. In this post, we briefly review the developments motivating these actions, summarize what the Fed has done and why, and compare the Fed’s response with its response to the 2007-09 financial crisis.
Discussion Paper
Options for Calculating Risk-Free Rate
One of the most fundamental concepts in finance is the notion of a risk-free rate. This interest rate tells us how much money investors are guaranteed to receive in the future by saving one dollar today. As a result, risk-free rates reflect investors’ preferences for payoffs in the future relative to the present. Yields on U.S. Treasury securities are generally viewed as a standard benchmark for the risk-free rate, but they may also feature a “convenience yield,” reflecting Treasuries’ special, money-like properties. In this post, we estimate a risk-free rate implicit in the prices of ...