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Author:Vogt, Erik 

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Nonlinearity and flight to safety in the risk-return trade-off for stocks and bonds

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

Discussion Paper
Corporate Bond Market Liquidity Redux: More Price-Based Evidence

In a recent post, we presented some preliminary evidence suggesting that corporate bond market liquidity is ample. That evidence relied on bid-ask spread and price impact measures. The findings generated significant discussion, with some market participants wondering about the magnitudes of our estimates, their robustness, and whether such measures adequately capture recent changes in liquidity. In this post, we revisit these measures to more thoroughly document how they have varied over time and the importance of particular estimation approaches, trade size, trade frequency, and the ...
Liberty Street Economics , Paper 20160209

Discussion Paper
Has Liquidity Risk in the Corporate Bond Market Increased?

Recent commentary suggests concern among market participants about corporate bond market liquidity. However, we showed in our previous post that liquidity in the corporate bond market remains ample. One interpretation is that liquidity risk might have increased, even as the average level of liquidity remains sanguine. In this post, we propose a measure of liquidity risk in the corporate bond market and analyze its evolution over time.
Liberty Street Economics , Paper 20151006b

Report
Global price of risk and stabilization policies

We estimate a highly significant price of risk that forecasts global stock and bond returns as a nonlinear function of the CBOE Volatility Index (VIX). We show that countries? exposure to the global price of risk is related to macroeconomic risks as measured by output, credit, and inflation volatility, the magnitude of financial crises, and stock and bond market downside risk. Higher exposure to the global price of risk corresponds to both higher output volatility and higher output growth. We document that the transmission of the global price of risk to macroeconomic outcomes is mitigated by ...
Staff Reports , Paper 786

Discussion Paper
Changes in the Returns to Market Making

Since the financial crisis, major U.S. banking institutions have increased their capital ratios in response to tighter capital requirements. Some market analysts have asserted that the higher capital and liquidity requirements are driving up the costs of market making and reducing market liquidity. If regulations were, in fact, increasing the cost of market making, one would expect to see a rise in the expected returns to that activity. In this post, we estimate market-making returns in equity and corporate bond markets to assess the impact of regulations.
Liberty Street Economics , Paper 20151007

Report
The Evolution of Treasury Market Liquidity: Evidence from 30 Years of Limit Order Book Data

This paper uses order book and transactions data from the U.S. Treasury securities market to calculate daily liquidity measures for a thirty-year sample period (1991–2021). We then construct a daily index of liquidity from bid-ask spreads, quoted depth, and price impact, reflecting the fact that the varying measures capture different aspects of market liquidity. The index is highly correlated with liquidity proxies proposed in the literature, but is more sensitive to short-term drivers of liquidity, suggesting that it better measures contemporaneous liquidity (as opposed to expected future ...
Staff Reports , Paper 827

Report
Intraday market making with overnight inventory costs

The U.S. Treasury market is highly intermediated by nonbank principal trading firms (PTFs). Limited capital forces PTFs to end the trading day roughly flat. We construct a continuous time market making model to analyze the trade-off faced by a profit-maximizing firm with overnight inventory costs, and develop closed-form representations of the optimal price policy functions. Our model reveals that bid-ask spreads widen as the end of the trading day approaches, and that increases in order arrival rates do not always lead to higher price volatility. Our empirical analysis shows that ...
Staff Reports , Paper 799

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 ...
Staff Reports , Paper 706

Discussion Paper
Did Third Avenue's Liquidation Reduce Corporate Bond Market Liquidity?

The announced liquidation of Third Avenue’s high-yield Focused Credit Fund (FCF) on December 9, 2015, drew widespread attention and reportedly sent ripples through asset markets. Events of this kind have the potential to increase the demand for market liquidity, as investors revise expectations, reassess risk exposures, and fulfill the need to trade. Moreover, portfolio effects and general fears of contagion may increase the demand for liquidity in assets only remotely related to a liquidating firm’s direct holdings. In this post, we examine whether FCF’s announced liquidation affected ...
Liberty Street Economics , Paper 20160219a

Discussion Paper
Has U.S. Treasury Market Liquidity Deteriorated?

The issue of financial market liquidity has received tremendous attention lately. This partly arises from market participants' concerns that regulatory and structural changes have reduced dealers' market making abilities, but also from events such as the taper tantrum and the flash rally, in which Treasury prices fluctuated sharply amid seemingly little news. But is there really evidence of a sustained reduction in Treasury market liquidity?
Liberty Street Economics , Paper 20150817

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