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Report
Nonlinearity and flight to safety in the risk-return trade-off for stocks and bonds
Vogt, Erik; Adrian, Tobias; Crump, Richard K. (2015-04-01)
We document a highly significant, strongly nonlinear dependence of stock and bond returns on past equity market volatility as measured by the VIX. We propose a new estimator for the shape of the nonlinear forecasting relationship that exploits additional variation in the cross section of returns. The nonlinearities are mirror images for stocks and bonds, revealing flight to safety: expected returns increase for stocks when volatility increases from moderate to high levels, while they decline for Treasury securities. These findings provide support for dynamic asset pricing theories where the ...
Staff Reports , Paper 723

Report
Intermediary balance sheets
Adrian, Tobias; Boyarchenko, Nina (2013-11-01)
We document the cyclical properties of the balance sheets of different types of intermediaries. While the leverage of the bank sector is highly procyclical, the leverage of the nonbank financial sector is acyclical. We propose a theory of a two-agent financial intermediary sector within a dynamic model of the macroeconomy. Banks are financed by issuing risky debt to households and face risk-based capital constraints, which leads to procyclical leverage. Households can also participate in financial markets by investing in a nonbank ?fund? sector where fund managers face skin-in-the-game ...
Staff Reports , Paper 651

Discussion Paper
Discounting the Long-Run
Diamond, Peter A.; Yu, Rui; Adrian, Tobias; Crump, Richard K. (2015-08-31)
Expectations about the path of interest rates matter for many economic decisions. Three sources for obtaining information about such expectations are available. The first is extrapolation from historical data. The second consists of surveys of expectations. The third are expectations drawn from financial market prices, often referred to as market expectations. The last are usually considered to be model-based expectations, because, generally, a model is needed to reliably extract expectations from current prices. In this post, we explain the need for and usage of term structure models for ...
Liberty Street Economics , Paper 20150831

Discussion Paper
Introduction to a Series on Market Liquidity
Adrian, Tobias; Schaumburg, Ernst; Fleming, Michael J. (2015-08-17)
Market participants and policymakers have recently raised concerns about market liquidity?the ability to buy and sell securities quickly, at any time, at minimal cost. Market liquidity supports the efficient allocation of capital through financial markets, which is a catalyst for sustainable economic growth. Changes in market liquidity, whether due to regulation, changes in market structure, or otherwise, are therefore of great interest to policymakers and market participants alike.
Liberty Street Economics , Paper 20150817

Report
Risk appetite and exchange Rates
Shin, Hyun Song; Etula, Erkko; Adrian, Tobias (2009)
We present evidence that the growth of U.S.-dollar-denominated banking sector liabilities forecasts appreciations of the U.S. dollar, both in-sample and out-of-sample, against a large set of foreign currencies. We provide a theoretical foundation for a funding liquidity channel in a global banking model where exchange rates fluctuate as a function of banks? balance sheet capacity. We estimate prices of risk using a cross-sectional asset pricing approach and show that the U.S. dollar funding liquidity forecasts exchange rates because of its association with time-varying risk premia. Our ...
Staff Reports , Paper 361

Report
Intermediary leverage cycles and financial stability
Adrian, Tobias; Boyarchenko, Nina (2012)
We present a theory of financial intermediary leverage cycles within a dynamic model of the macroeconomy. Intermediaries face risk-based funding constraints that give rise to procyclical leverage and a procyclical share of intermediated credit. The pricing of risk varies as a function of intermediary leverage, and asset return exposures to intermediary leverage shocks earn a positive risk premium. Relative to an economy with constant leverage, financial intermediaries generate higher consumption growth and lower consumption volatility in normal times, at the cost of endogenous systemic ...
Staff Reports , Paper 567

Discussion Paper
Treasury Term Premia: 1961-Present
Moench, Emanuel; Mills, Benjamin; Adrian, Tobias; Crump, Richard K. (2014-05-12)
Treasury yields can be decomposed into two components: expectations of the future path of short-term Treasury yields and the Treasury term premium. The term premium is the compensation that investors require for bearing the risk that short-term Treasury yields do not evolve as they expected. Studying the term premium over a long time period allows us to investigate what has historically driven changes in Treasury yields. In this blog post, we estimate and analyze the Treasury term premium from 1961 to the present, and make these estimates available for download here.
Liberty Street Economics , Paper 20140512

Discussion Paper
Market Liquidity after the Financial Crisis
Adrian, Tobias; Shachar, Or; Fleming, Michael J. (2017-06-28)
The possible adverse effects of regulation on market liquidity in the post-crisis period continue to garner significant attention. In a recent paper, we update and unify much of our earlier work on the subject, following up on three series of earlier Liberty Street Economics posts in August 2015, October 2015, and February 2016. We find that dealer balance sheets have continued to stagnate and that various measures point to less abundant funding liquidity. Nonetheless, we do not find clear evidence of a widespread deterioration in market liquidity.
Liberty Street Economics , Paper 20170628

Discussion Paper
Forecasting Interest Rates over the Long Run
Diamond, Peter A.; Yu, Rui; Adrian, Tobias; Crump, Richard K. (2016-07-18)
In a previous post, we showed how market rates on U.S. Treasuries violate the expectations hypothesis because of time-varying risk premia. In this post, we provide evidence that term structure models have outperformed direct market-based measures in forecasting interest rates. This suggests that term structure models can play a role in long-run planning for public policy objectives such as assessing the viability of Social Security.
Liberty Street Economics , Paper 20160718

Report
Pricing the term structure with linear regressions
Moench, Emanuel; Adrian, Tobias (2008)
We estimate the time series and cross section of bond returns by way of three-stage ordinary least squares, which we label dynamic Fama-MacBeth regressions. Our approach allows for estimation of models with a large number of pricing factors. Even though we do not impose yield cross-equation restrictions in the estimation, we show that our bond return regressions generate a term structure of interest rates with small yield errors when compared with commonly reported specifications. We uncover specifications that give rise to lower pricing errors than do commonly advocated specifications, both ...
Staff Reports , Paper 340

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