Table 9

Common ownership and U.S. Treasury return comovement

DepVar:Market-adjusted returns
Three-factor-adjusted returns
Corr_allCorr_downCorr_upDown-minus-upCorr_allCorr_downCorr_upDown-minus-up
(1)(2)(3)(4)(5)(6)(7)(8)
Common Ownership3.252***3.338***3.150***0.188**3.224***3.317***3.128***0.188**
(10.7)(11.3)(10.0)(2.4)(10.4)(10.9)(9.8)(2.3)
Time-to-maturity Difference–0.052***–0.052***–0.052***–0.000–0.051***–0.051***–0.051***–0.000
(–35.0)(–35.0)(–33.0)(–0.1)(–31.7)(–31.1)(–29.9)(–0.5)
Coupon Rate Difference–0.025***–0.024***–0.026***0.001–0.025***–0.024***–0.026***0.002
(–5.5)(–5.2)(–5.7)(1.0)(–5.5)(–5.1)(–5.8)(1.6)
On-the-run Difference0.031***0.029***0.031***–0.0020.031***0.030***0.031***–0.001
(5.0)(4.6)(5.3)(–1.2)(5.0)(4.8)(5.1)(–0.9)
Log(Size) Difference–0.006–0.004–0.0070.003–0.005–0.003–0.0060.003
(–0.4)(–0.3)(–0.5)(0.9)(–0.3)(–0.2)(–0.4)(0.8)
Bid-ask Spread Difference–4.836***–4.909***–4.734***–0.175–4.735***–4.842***–4.585***–0.257
(–4.6)(–4.7)(–4.6)(–0.6)(–4.6)(–4.6)(–4.5)(–1.1)
# of Obs2,040,8892,040,8892,040,8892,040,8892,040,8892,040,8892,040,8892,040,889
DepVar:Market-adjusted returns
Three-factor-adjusted returns
Corr_allCorr_downCorr_upDown-minus-upCorr_allCorr_downCorr_upDown-minus-up
(1)(2)(3)(4)(5)(6)(7)(8)
Common Ownership3.252***3.338***3.150***0.188**3.224***3.317***3.128***0.188**
(10.7)(11.3)(10.0)(2.4)(10.4)(10.9)(9.8)(2.3)
Time-to-maturity Difference–0.052***–0.052***–0.052***–0.000–0.051***–0.051***–0.051***–0.000
(–35.0)(–35.0)(–33.0)(–0.1)(–31.7)(–31.1)(–29.9)(–0.5)
Coupon Rate Difference–0.025***–0.024***–0.026***0.001–0.025***–0.024***–0.026***0.002
(–5.5)(–5.2)(–5.7)(1.0)(–5.5)(–5.1)(–5.8)(1.6)
On-the-run Difference0.031***0.029***0.031***–0.0020.031***0.030***0.031***–0.001
(5.0)(4.6)(5.3)(–1.2)(5.0)(4.8)(5.1)(–0.9)
Log(Size) Difference–0.006–0.004–0.0070.003–0.005–0.003–0.0060.003
(–0.4)(–0.3)(–0.5)(0.9)(–0.3)(–0.2)(–0.4)(0.8)
Bid-ask Spread Difference–4.836***–4.909***–4.734***–0.175–4.735***–4.842***–4.585***–0.257
(–4.6)(–4.7)(–4.6)(–0.6)(–4.6)(–4.6)(–4.5)(–1.1)
# of Obs2,040,8892,040,8892,040,8892,040,8892,040,8892,040,8892,040,8892,040,889

This table reports the results from Fama-MacBeth regressions of U.S. Treasury excess return comovement in quarter q on common ownership in quarter q—1. Corr_all is the excess return correlation between two securities in a quarter. The excess return correlation is computed as the pairwise correlation of daily risk-adjusted returns for a pair of securities. We consider two ways to compute risk-adjusted returns: market-adjusted and three-factor-adjusted. Market-adjusted daily returns are obtained as the residuals from a regression of daily bond excess return on returns from the aggregate Treasury market and its two lags; three-factor-adjusted daily returns are obtained as the residuals from a regression of daily bond excess return on returns from the aggregate Treasury market, investment-grade bonds, junk bonds, and their two lags. We further sort all trading days in a quarter into two equal groups (downside and upside market days) based on the aggregate Treasury market returns, and Corr_up and Corr_down are the excess return correlation between two securities during downside and upside market days, respectively. Down-minus-up is the difference between Corr_down and Corr_up. All these pairwise correlations are constructed using market-adjusted returns and three-factor-adjusted returns. Common Ownership is the proportion of total market value of a Treasury pair held by funds holding the pair of Treasuries. Time-to-maturity Difference is the absolute difference between two securities’ years-to-maturity. Coupon Rate Difference is the absolute difference between two securities’ coupon rates. On-the-run Difference is the absolute difference between two Treasuries’ on-the-run status for a pair of Treasuries, where On-the-run is a dummy variable that equals one if a Treasury is the most recently issued Treasury of a particular maturity, and zero otherwise. Log(Size) Difference is the absolute difference between two Treasuries’ logarithm of total amount outstanding. Bid-ask Spread Difference is the absolute difference between two Treasuries’ bid-ask spread. All independent variables (except for the On-the-Run Difference dummy) are winsorized at the 1st and 99th percentiles. Heteroscedasticity and auto-correlation-consistent Newey-West (1987) t-statistics are reported in parentheses.

*

p < .1;

**

p < .05;

***

p < .01. The sample period is from 2002Q4 through 2021Q4.

Table 9

Common ownership and U.S. Treasury return comovement

DepVar:Market-adjusted returns
Three-factor-adjusted returns
Corr_allCorr_downCorr_upDown-minus-upCorr_allCorr_downCorr_upDown-minus-up
(1)(2)(3)(4)(5)(6)(7)(8)
Common Ownership3.252***3.338***3.150***0.188**3.224***3.317***3.128***0.188**
(10.7)(11.3)(10.0)(2.4)(10.4)(10.9)(9.8)(2.3)
Time-to-maturity Difference–0.052***–0.052***–0.052***–0.000–0.051***–0.051***–0.051***–0.000
(–35.0)(–35.0)(–33.0)(–0.1)(–31.7)(–31.1)(–29.9)(–0.5)
Coupon Rate Difference–0.025***–0.024***–0.026***0.001–0.025***–0.024***–0.026***0.002
(–5.5)(–5.2)(–5.7)(1.0)(–5.5)(–5.1)(–5.8)(1.6)
On-the-run Difference0.031***0.029***0.031***–0.0020.031***0.030***0.031***–0.001
(5.0)(4.6)(5.3)(–1.2)(5.0)(4.8)(5.1)(–0.9)
Log(Size) Difference–0.006–0.004–0.0070.003–0.005–0.003–0.0060.003
(–0.4)(–0.3)(–0.5)(0.9)(–0.3)(–0.2)(–0.4)(0.8)
Bid-ask Spread Difference–4.836***–4.909***–4.734***–0.175–4.735***–4.842***–4.585***–0.257
(–4.6)(–4.7)(–4.6)(–0.6)(–4.6)(–4.6)(–4.5)(–1.1)
# of Obs2,040,8892,040,8892,040,8892,040,8892,040,8892,040,8892,040,8892,040,889
DepVar:Market-adjusted returns
Three-factor-adjusted returns
Corr_allCorr_downCorr_upDown-minus-upCorr_allCorr_downCorr_upDown-minus-up
(1)(2)(3)(4)(5)(6)(7)(8)
Common Ownership3.252***3.338***3.150***0.188**3.224***3.317***3.128***0.188**
(10.7)(11.3)(10.0)(2.4)(10.4)(10.9)(9.8)(2.3)
Time-to-maturity Difference–0.052***–0.052***–0.052***–0.000–0.051***–0.051***–0.051***–0.000
(–35.0)(–35.0)(–33.0)(–0.1)(–31.7)(–31.1)(–29.9)(–0.5)
Coupon Rate Difference–0.025***–0.024***–0.026***0.001–0.025***–0.024***–0.026***0.002
(–5.5)(–5.2)(–5.7)(1.0)(–5.5)(–5.1)(–5.8)(1.6)
On-the-run Difference0.031***0.029***0.031***–0.0020.031***0.030***0.031***–0.001
(5.0)(4.6)(5.3)(–1.2)(5.0)(4.8)(5.1)(–0.9)
Log(Size) Difference–0.006–0.004–0.0070.003–0.005–0.003–0.0060.003
(–0.4)(–0.3)(–0.5)(0.9)(–0.3)(–0.2)(–0.4)(0.8)
Bid-ask Spread Difference–4.836***–4.909***–4.734***–0.175–4.735***–4.842***–4.585***–0.257
(–4.6)(–4.7)(–4.6)(–0.6)(–4.6)(–4.6)(–4.5)(–1.1)
# of Obs2,040,8892,040,8892,040,8892,040,8892,040,8892,040,8892,040,8892,040,889

This table reports the results from Fama-MacBeth regressions of U.S. Treasury excess return comovement in quarter q on common ownership in quarter q—1. Corr_all is the excess return correlation between two securities in a quarter. The excess return correlation is computed as the pairwise correlation of daily risk-adjusted returns for a pair of securities. We consider two ways to compute risk-adjusted returns: market-adjusted and three-factor-adjusted. Market-adjusted daily returns are obtained as the residuals from a regression of daily bond excess return on returns from the aggregate Treasury market and its two lags; three-factor-adjusted daily returns are obtained as the residuals from a regression of daily bond excess return on returns from the aggregate Treasury market, investment-grade bonds, junk bonds, and their two lags. We further sort all trading days in a quarter into two equal groups (downside and upside market days) based on the aggregate Treasury market returns, and Corr_up and Corr_down are the excess return correlation between two securities during downside and upside market days, respectively. Down-minus-up is the difference between Corr_down and Corr_up. All these pairwise correlations are constructed using market-adjusted returns and three-factor-adjusted returns. Common Ownership is the proportion of total market value of a Treasury pair held by funds holding the pair of Treasuries. Time-to-maturity Difference is the absolute difference between two securities’ years-to-maturity. Coupon Rate Difference is the absolute difference between two securities’ coupon rates. On-the-run Difference is the absolute difference between two Treasuries’ on-the-run status for a pair of Treasuries, where On-the-run is a dummy variable that equals one if a Treasury is the most recently issued Treasury of a particular maturity, and zero otherwise. Log(Size) Difference is the absolute difference between two Treasuries’ logarithm of total amount outstanding. Bid-ask Spread Difference is the absolute difference between two Treasuries’ bid-ask spread. All independent variables (except for the On-the-Run Difference dummy) are winsorized at the 1st and 99th percentiles. Heteroscedasticity and auto-correlation-consistent Newey-West (1987) t-statistics are reported in parentheses.

*

p < .1;

**

p < .05;

***

p < .01. The sample period is from 2002Q4 through 2021Q4.

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