Is Economic Uncertainty Priced in the Cross-Section of Stock Returns?

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Is Economic Uncertainty Priced in the Cross-Section of Stock Returns? Turan Bali, Georgetown University Stephen Brown, NYU Stern, University Yi Tang, Fordham University 2018 CARE Conference, Washington DC May 18-19, 2018

Introduction Knight (1921) distinction between risk and true uncertainty Uncertainty when probability distribution is itself unknown Uncertainty, by its nature, cannot be measured and is uninsurable But is the result of measurable economic changes. Not much attention in the empirical asset pricing literature

Conditional ICAPM with Risk and Uncertainty Merton s ICAPM: µ = A σ + B σ i im ix We examine conditional ICAPM with time-varying covariances: ER [ Ω ] = A cov[ R, R Ω ] + B cov[ R, X Ω ] it, + 1 t it, + 1 mt, + 1 t it, + 1 t+ 1 t Investors are concerned with Terminal wealth of portfolio Future consumption and investment opportunities.

Economic uncertainty index Jurado, Ludvigson, and Ng (2015) Uncertainty: conditional volatility of innovations 132 macroeconomic time series Real output and income Employment and hours Real retail, manufacturing and trade sales Consumer spending Housing starts etc. Computed on a one month, three month and one year basis

Economic uncertainty index 1.3 1.2 1.1 1 0.9 0.8 0.7 0.6 0.5 6/1972 11/1977 5/1983 11/1988 4/1994 10/1999 4/2005 9/2010 3/2016 One month ahead 3 months ahead 12 months ahead Source: Sydney Ludvigson https://www.sydneyludvigson.com/data-and-appendixes/

Uncertainty Beta Excess stock returns regressed on uncertainty index Sixty month rolling regressions R r = α + + ( R r ) + SMB MKT SMB it ft i i 1, t i MKT, t ft i t + HML + UMD + LIQ HML UMD LIQ i t i t i t + R + R + ε I / A ROE i I / A, t i ROE, t i, t

Equal weighted portfolios Rm - Rf FF 5 factor α FF 5+ factor α Low -0.62 1.13 0.34 0.35 (3.60) (2.77) (2.85)............... High 0.72 0.62-0.13-0.15 (2.06) (-1.31) (-1.49) Turan Bali, Stephen Brown and Yi Tang Is Economic Uncertainty Priced in the Cross-Section of Stock Returns Journal of Financial Economics 126(3) 2017 471-489.

Equal weighted portfolios Rm - Rf FF 5 factor α FF 5+ factor α Low -0.62 1.13 0.34 0.35 (3.60) (2.77) (2.85)............... High 0.72 0.62-0.13-0.15 (2.06) (-1.31) (-1.49) High-Low 1.34-0.51-0.47-0.50 (-3.81) (-2.93) (-3.09) Turan Bali, Stephen Brown and Yi Tang Is Economic Uncertainty Priced in the Cross-Section of Stock Returns Journal of Financial Economics 126(3) 2017 471-489.

Value weighted portfolios Rm - Rf FF 5 factor α FF 5+ factor α Low -0.62 0.93 0.50 0.49 (2.87) (2.14) (2.12)............... High 0.72 0.53-0.17-0.19 (1.72) (-1.33) (-1.46)

Value weighted portfolios Rm - Rf FF 5 factor α FF 5+ factor α Low -0.62 0.93 0.50 0.49 (2.87) (2.14) (2.12)............... High 0.72 0.53-0.17-0.19 (1.72) (-1.33) (-1.46) High-Low 1.34-0.40-0.67-0.69 (-1.93) (-2.35) (-2.40)

Alphas of different samples S&P500 1,000 Largest stocks 1,000 Most Liquid stocks Low 0.47 0.27 0.30 (2.97) (2.33) (2.13)............ High -0.16-0.11-0.13 (-1.72) (-1.20) (-1.21) FF 5+ factor α

Alphas of different samples S&P500 1,000 Largest stocks 1,000 Most Liquid stocks Low 0.47 0.27 0.30 (2.97) (2.33) (2.13)............ High -0.16-0.11-0.13 (-1.72) (-1.20) (-1.21) High-Low -0.64-0.38-0.43 (-3.20) (-2.35) (-2.28) FF 5+ factor α

Premium controlling for other factors Controlling for Low High MKT 0.28-0.10 SIZE 0.23-0.08 BM 0.29-0.04 I/A 0.27-0.03 ROE 0.26-0.10 MOM 0.22-0.22 ILLIQ 0.27-0.06 IVOL 0.29-0.15 MAX 0.32-0.14

Premium controlling for other factors Controlling for Low High Difference MKT 0.28-0.10-0.38 (-3.24) SIZE 0.23-0.08-0.32 (-2.39) BM 0.29-0.04-0.33 (-2.63) I/A 0.27-0.03-0.30 (-2.54) ROE 0.26-0.10-0.36 (-3.00) MOM 0.22-0.22-0.44 (-3.72) ILLIQ 0.27-0.06-0.34 (-2.45) IVOL 0.29-0.15-0.43 (-3.84) MAX 0.32-0.14-0.46 (-3.99)

Fama and McBeth results -0.504 (-3.12)

Fama and McBeth results MKT -0.504 (-3.12) -0.458 (-3.22) 0.071 (0.54)

Fama and McBeth results MKT -0.504 (-3.12) -0.458 (-3.22) -0.254 (-2.73) 0.071 (0.54) 0.160 (1.58) SIZE -0.060 (-2.18) BM 0.160 (2.55) MOM 0.005 (3.27) I/A -0.246 (-4.50) ROE 0.778 (3.32) Controls No No Yes

alphas by industry Quintile Low High Nondurable -0.02-0.31 Durable 0.01-0.45 Manufacturing 0.06-0.19 Energy -0.02-0.78 High tech 0.63 0.28 Telecom 1.24-0.37 Retail 0.24-0.21 Health 0.55 0.18 Utilities 0.39 0.20 Other 0.04-0.31

alphas by industry Quintile Low High Difference Nondurable -0.02-0.31-0.29 (-1.73) Durable 0.01-0.45-0.46 (-1.99) Manufacturing 0.06-0.19-0.25 (-1.63) Energy -0.02-0.78-0.76 (-2.14) High tech 0.63 0.28-0.35 (-2.31) Telecom 1.24-0.37-1.62 (-3.25) Retail 0.24-0.21-0.46 (-3.67) Health 0.55 0.18-0.37 (-1.77) Utilities 0.39 0.20-0.19 (-0.50) Other 0.04-0.31-0.35 (-3.02)

Alphas of uncertainty beta factors FF 5 factor α FF 5+ factor α EW factor -0.35% -0.34% (-3.27) (-2.85) VW factor -.31% -.32% (-2.79) (2.46)

Recessions vs. Expansions Recession- NBER Expansion- NBER Recession- CFNAI Expansion- CFNAI EW -0.67-0.26-0.91-0.23 factor (-1.67) (-3.39) (-2.52) (-2.14) High-low -1.80-0.62-1.86-0.57 (-3.44) (-2.26) (-2.98) (-2.08) Analyst disagreement

Hedge fund application Economic uncertainty exposure explains hedge fund returns A significant relation between future returns and exposure to uncertainty Effect is greatest for directional fund strategies: R = 0.306 + 0.157 + 0.127δ + + 0.140( δ ) it, 1 it, it, it, it, δ (2.78) (2.00) (0.94) (2.03) = 1 if fund is directional, δ = 0otherwise it, i it, Turan Bali, Stephen Brown and Mustafa Caglayan Macroeconomic risk and hedge fund returns Journal of Financial Economics 114(1) 2014 1-14..

Conclusion Uncertainty is both measurable and material Is distinct from market volatility Is associated with a negative premium in stock returns Stocks differ in their sensitivity to this factor Systematic differences in sensitivity by industry Uncertainty affects consumption and investment Increased uncertainty => unfavorable investment opportunities Uncertainty premium is higher in times of economic distress