A Tough Act to Follow: Contrast Effects in Financial Markets Samuel - - PowerPoint PPT Presentation
A Tough Act to Follow: Contrast Effects in Financial Markets Samuel - - PowerPoint PPT Presentation
A Tough Act to Follow: Contrast Effects in Financial Markets Samuel Hartzmark University of Chicago May 20, 2016 trst ts trst ts
❈♦♥tr❛st ❡✛❡❝ts
❈♦♥tr❛st ❡✛❡❝ts✿ ❱❛❧✉❡ ♦❢ ♣r❡✈✐♦✉s❧②✲♦❜s❡r✈❡❞ s✐❣♥❛❧ ✐♥✈❡rs❡❧② ❜✐❛s❡s ♣❡r❝❡♣t✐♦♥ ♦❢ t❤❡ ♥❡①t s✐❣♥❛❧ ❆❜✉♥❞❛♥t ❡①♣❡r✐♠❡♥t❛❧ ❡✈✐❞❡♥❝❡ ✐♥ ♣s②❝❤♦❧♦❣②
- ❈r✐♠❡s ✈✐❡✇❡❞ ❛s ❧❡ss s❡r✐♦✉s ❛❢t❡r ❡①♣♦s✉r❡ t♦ ♠♦r❡ ❡❣r❡❣✐♦✉s ❝r✐♠❡s
✭P❡♣✐t♦♥❡ ❛♥❞ ❉✐◆✉❜✐❧❡ ✶✾✼✻✮
- ▼❡♥ r❛t❡ ❢❡♠❛❧❡ st✉❞❡♥ts ❛s ❧❡ss ❛ttr❛❝t✐✈❡ ✐❢ t❤❡ ♠❡♥ r❡❝❡♥t❧② ✈✐❡✇❡❞
♣✐❝t✉r❡s ♦❢ ✈❡r② ❜❡❛✉t✐❢✉❧ ❛❝tr❡ss❡s ✭❑❡♥r✐❝❦ ❛♥❞ ●✉t✐❡rr❡s ✶✾✽✵✮ ❈♦♥tr❛st ❡✛❡❝ts ✐♥ ♣♦♣✉❧❛r ❝✉❧t✉r❡
- ✏❆ t♦✉❣❤ ❛❝t t♦ ❢♦❧❧♦✇✑ ✴ ✏P❛❧❡ ✐♥ ❝♦♠♣❛r✐s♦♥✑
- ▲✐t❡r❛r② ❢♦✐❧s
- ✏❯❣❧② ❢r✐❡♥❞✑ ♠❛❦❡s ②♦✉ ❧♦♦❦ ❤♦tt❡r
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✷ ✴ ✹✷
❈♦♥tr❛st ❡✛❡❝ts ✐♥ ♣❡r❝❡♣t✐♦♥
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸ ✴ ✹✷
❈♦♥tr❛st ❡✛❡❝ts ✐♥ ♣❡r❝❡♣t✐♦♥
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸ ✴ ✹✷
❈♦♥tr❛st ❡✛❡❝ts ✐♥ ♣❡r❝❡♣t✐♦♥
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✹ ✴ ✹✷
❈♦♥tr❛st ❡✛❡❝ts ✐♥ ♣❡r❝❡♣t✐♦♥
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✹ ✴ ✹✷
P♦t❡♥t✐❛❧ r❡❛❧✲✇♦r❧❞ ✐♠♣❧✐❝❛t✐♦♥s ♦❢ ❝♦♥tr❛st ❡✛❡❝ts
❈♦♥tr❛st ❡✛❡❝ts ❝♦✉❧❞ ❧❡❛❞ t♦ ♠✐st❛❦❡s ✐♥✿
- ❍✐r✐♥❣ ❛♥❞ ♣r♦♠♦t✐♦♥ ❞❡❝✐s✐♦♥s
- ■♥✈❡st♠❡♥t ❞❡❝✐s✐♦♥s
◮ ■♥✈❡st ✐♥ ❛ ❜❛❞ ♣r♦❥❡❝t ❜❡❝❛✉s❡ ✐t ❧♦♦❦s ❜❡tt❡r t❤❛♥ t❤❡ ♦t❤❡rs
- ❏✉❞✐❝✐❛❧ ❞❡❝✐s✐♦♥s
- ❍♦✉s❡❤♦❧❞ ❝♦♥s✉♠♣t✐♦♥✱ r❡❛❧ ❡st❛t❡✱ ♠❛t❡ ❝❤♦✐❝❡ ❞❡❝✐s✐♦♥s
❍❛r❞ t♦ ♠❡❛s✉r❡ ✐♥❢♦r♠❛t✐♦♥ ❛♥❞ ♣❡r❝❡♣t✐♦♥ ♦❢ ✐♥❢♦r♠❛t✐♦♥ ❍❛r❞ t♦ t❡❛s❡ ❝♦♥tr❛st ❡✛❡❝ts ❛♣❛rt ❢r♦♠ q✉♦t❛s ♦r r❡s♦✉r❝❡ ❝♦♥str❛✐♥ts ❆❜✉♥❞❛♥t ❧❛❜ ❡✈✐❞❡♥❝❡✱ ❜✉t ✜❡❧❞ ❡✈✐❞❡♥❝❡ ✐s ✈❡r② ❧✐♠✐t❡❞
- ❇❤❛r❣❛✈❛ ❛♥❞ ❋✐s♠❛♥ ✭✷✵✶✸✮✿ ❙♣❡❡❞ ❞❛t✐♥❣
- ❙✐♠♦♥s♦❤♥ ❛♥❞ ▲♦❡✇❡♥st❡✐♥ ✭✷✵✵✻✮✿ ❍♦✉s✐♥❣ ❝❤♦✐❝❡
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✺ ✴ ✹✷
❈♦♥tr❛st ❡✛❡❝ts ✐♥ ✜♥❛♥❝✐❛❧ ♠❛r❦❡ts
❚❤✐s ♣❛♣❡r✿ ❉♦ ❝♦♥tr❛st ❡✛❡❝ts ♠❛tt❡r ❢♦r ♣r✐❝❡s ✐♥ ✜♥❛♥❝✐❛❧ ♠❛r❦❡ts❄ ❘❡❧❛t✐✈❡ t♦ ❡①✐st✐♥❣ ❧❛❜♦r❛t♦r② ❛♥❞ ❧✐♠✐t❡❞ ✜❡❧❞ ❡✈✐❞❡♥❝❡
- ❋✉❧❧✲t✐♠❡ ♣r♦❢❡ss✐♦♥❛❧s ♠❛❦✐♥❣ r❡♣❡❛t❡❞ ❞❡❝✐s✐♦♥s ✇✐t❤ ❤✐❣❤ st❛❦❡s
- ❊q✉✐❧✐❜r✐✉♠ ♣r✐❝❡s ❞❡t❡r♠✐♥❡❞ t❤r♦✉❣❤ ✐♥t❡r❛❝t✐♦♥s ❛♠♦♥❣ ♠❛♥②
✐♥✈❡st♦rs ■❢ ❝♦♥tr❛st ❡✛❡❝ts ✐♠♣❛❝t ✜♥❛♥❝✐❛❧ ♠❛r❦❡ts
- ■♠♣❧✐❡s t❤❛t ♣r✐❝❡s r❡❛❝t ♥♦t ♦♥❧② t♦ t❤❡ ❛❜s♦❧✉t❡ ❝♦♥t❡♥t ♦❢ ♥❡✇s✱ ❜✉t
❛❧s♦ t♦ t❤❡ r❡❧❛t✐✈❡ ❝♦♥t❡♥t ♦❢ ♥❡✇s
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✻ ✴ ✹✷
❈♦♥tr❛st ❡✛❡❝ts ❛♥❞ ❡❛r♥✐♥❣s ❛♥♥♦✉♥❝❡♠❡♥ts
◗✉❛rt❡r❧② ❡❛r♥✐♥❣s ♦✛❡rs ❛♥ ✐❞❡❛❧ r❡❛❧ ✇♦r❧❞ t❡st ♦❢ ❝♦♥tr❛st ❡✛❡❝ts
- ■♠♣♦rt❛♥t s❛❧✐❡♥t ♥❡✇s ❡✈❡♥t
- ❆♥♥♦✉♥❝❡♠❡♥ts ❛r❡ s❝❤❡❞✉❧❡❞ ✇❡❡❦s ✐♥ ❛❞✈❛♥❝❡✱ s♦ ✇❤❡t❤❡r ❛ ✜r♠
❛♥♥♦✉♥❝❡s ❢♦❧❧♦✇✐♥❣ ♣♦s✐t✐✈❡ ♦r ♥❡❣❛t✐✈❡ s✉r♣r✐s❡s ❜② ♦t❤❡rs ✐s ❧✐❦❡❧② t♦ ❜❡ ✉♥❝♦rr❡❧❛t❡❞ ✇✐t❤ t❤❡ ✜r♠✬s ❢✉♥❞❛♠❡♥t❛❧s ❈♦♥tr❛st ❡✛❡❝ts = ⇒ ◆❡❣❛t✐✈❡ r❡❧❛t✐♦♥ ❜❡t✇❡❡♥ ②❡st❡r❞❛②✬s ❡❛r♥✐♥❣s s✉r♣r✐s❡ ❛♥❞ t❤❡ r❡t✉r♥ r❡❛❝t✐♦♥ t♦ t♦❞❛②✬s ❡❛r♥✐♥❣s ♥❡✇s✱ ❤♦❧❞✐♥❣ t♦❞❛②✬s ❡❛r♥✐♥❣s ♥❡✇s ❝♦♥st❛♥t
- ❆ ❤✐❣❤ s✉r♣r✐s❡ ②❡st❡r❞❛② ♠❛❦❡s ❛♥② s✉r♣r✐s❡ t♦❞❛② ❧♦♦❦ s❧✐❣❤t❧② ✇♦rs❡
t❤❛♥ t❤❡ s❛♠❡ s✉r♣r✐s❡ t♦❞❛② ✇♦✉❧❞ ❛♣♣❡❛r ✐❢ ②❡st❡r❞❛②✬s s✉r♣r✐s❡ ❤❛❞ ❜❡❡♥ ❧♦✇❡r
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✼ ✴ ✹✷
❚❤❡ ♣❛♣❡r ✐♥ ♦♥❡ ♣✐❝t✉r❡
- .5
.5 Return % [t-1,t+1]
- .0075
- .005
- .0025
.0025 .005 .0075 Previous day's earnings surprise: Surpriset-1
❘❡t✉r♥s ♦❢ ✜r♠s t❤❛t ❛♥♥♦✉♥❝❡❞ ❡❛r♥✐♥❣s t♦❞❛② ✈s✳ ❛✈❡r❛❣❡ ❡❛r♥✐♥❣s s✉r♣r✐s❡ ♦❢ ❧❛r❣❡ ✜r♠s t❤❛t ❛♥♥♦✉♥❝❡❞ ②❡st❡r❞❛② ✭❝♦♥❞✐t✐♦♥❛❧ ♦♥ ♦✇♥ ❡❛r♥✐♥❣s s✉r♣r✐s❡✮
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✽ ✴ ✹✷
Pr❡✈✐❡✇ ♦❢ r❡s✉❧ts
❈♦♥tr❛st ❡✛❡❝ts ❤❛✈❡ ❛ ❧❛r❣❡ ♣r❡❞✐❝t❛❜❧❡ ✐♠♣❛❝t ♦♥ ♣r✐❝❡ r❡❛❝t✐♦♥s
- ✺✸ ❜❛s✐s ♣♦✐♥ts ❢r♦♠ ❧♦✇❡st t♦ ❤✐❣❤❡st ❞❡❝✐❧❡
◮ ❚r❛❞✐♥❣ str❛t❡❣② ②✐❡❧❞s ✼✲✶✺✪ ❛♥♥✉❛❧ ❛❜♥♦r♠❛❧ r❡t✉r♥s
- ❙tr♦♥❣ ❡✛❡❝ts ❡✈❡♥ ✐♥ r❡❝❡♥t ②❡❛rs ❛♥❞ ❢♦r ❧❛r❣❡ ✜r♠s
- ●r❡❛t❡r ❧❛❣s ❛♥❞ ❧❡❛❞s ❞♦ ♥♦t ❤❛✈❡ ❛ s✐♠✐❧❛r ✐♠♣❛❝t
- ❆♣♣❧✐❡s ✇✐t❤✐♥ t❤❡ s❛♠❡ ❞❛② ✭❛❢t❡r♥♦♦♥ ✈s✳ ♠♦r♥✐♥❣ ❛♥♥♦✉♥❝❡♠❡♥ts✮
- ▼✐s♣r✐❝✐♥❣ r❡✈❡rs❡s ♦✈❡r t✐♠❡
❱❡r② ✉♥❧✐❦❡❧② t♦ ❜❡ ❡①♣❧❛✐♥❡❞ ❜② ✐♥❢♦r♠❛t✐♦♥ tr❛♥s♠✐ss✐♦♥
- ❯s❡ ❝✉♠✉❧❛t✐✈❡ r❡t✉r♥s st❛rt✐♥❣ ❜❡❢♦r❡ t −✶ ❢♦r ✜r♠ ❛♥♥♦✉♥❝✐♥❣ ♦♥ t
- t −✶ s✉r♣r✐s❡ ❞♦❡s ♥♦t ♣r❡❞✐❝t t s✉r♣r✐s❡ ♦r r❡t✉r♥ r❡❛❝t✐♦♥ ♦♥ t −✶
- ▼✉❝❤ ♠♦r❡✳✳✳
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✾ ✴ ✹✷
❖✉t❧✐♥❡
✶ ❊♠♣✐r✐❝❛❧ ♠❡t❤♦❞♦❧♦❣② ✷ ❇❛s❡❧✐♥❡ r❡s✉❧ts ✸ P♦t❡♥t✐❛❧ ❛❧t❡r♥❛t✐✈❡ ❡①♣❧❛♥❛t✐♦♥s ✹ ❯♥❝♦♥❞✐t✐♦♥❛❧ r❡s✉❧ts ❛♥❞ tr❛❞✐♥❣ str❛t❡❣② ✺ ❍❡t❡r♦❣❡♥❡✐t② ❛♥❞ r♦❜✉st♥❡ss
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✾ ✴ ✹✷
❖✉t❧✐♥❡
✶ ❊♠♣✐r✐❝❛❧ ♠❡t❤♦❞♦❧♦❣② ✷ ❇❛s❡❧✐♥❡ r❡s✉❧ts ✸ P♦t❡♥t✐❛❧ ❛❧t❡r♥❛t✐✈❡ ❡①♣❧❛♥❛t✐♦♥s ✹ ❯♥❝♦♥❞✐t✐♦♥❛❧ r❡s✉❧ts ❛♥❞ tr❛❞✐♥❣ str❛t❡❣② ✺ ❍❡t❡r♦❣❡♥❡✐t② ❛♥❞ r♦❜✉st♥❡ss
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✾ ✴ ✹✷
▼❡❛s✉r✐♥❣ ❡❛r♥✐♥❣s s✉r♣r✐s❡
❊❛r♥✐♥❣s s✉r♣r✐s❡✿ ❉✐✛❡r❡♥❝❡ ❜❡t✇❡❡♥ ❛♥♥♦✉♥❝❡❞ ❡❛r♥✐♥❣s ❛♥❞ ✐♥✈❡st♦r ❡①♣❡❝t❛t✐♦♥s surpriseit = actual earningsit −median forecasti,[t−✶✺,t−✷] pricei,t−✸ ▼✉❧t✐♣❧❡ ✜r♠s ♠❛② r❡❧❡❛s❡ ❡❛r♥✐♥❣s ✐♥ t −✶✱ s♦ ✇❤✐❝❤ ♦♥❡s ❛r❡ s❛❧✐❡♥t❄
- ▲❛r❣❡ ✜r♠s ✭≥ ◆❨❙❊ ✾✵t❤ ♣❡r❝❡♥t✐❧❡ ♦❢ ♠❛r❦❡t ❝❛♣✮✱ ✈❛❧✉❡✲✇❡✐❣❤t❡❞
surpriset−✶ =
N
∑
i=✶ MktCapi,t−✹·surprisei,t−✶ N
∑
i=✶ MktCapi,t−✹
❆❧t❡r♥❛t✐✈❡ ♠❡❛s✉r❡✿ r❡t✉r♥s r❡❛❝t✐♦♥ ♦❢ ✜r♠s ❛♥♥♦✉♥❝✐♥❣ ♦♥ t −✶
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✵ ✴ ✹✷
❇❛s❡❧✐♥❡ s♣❡❝✐✜❝❛t✐♦♥
❍♦✇ ❛r❡ r❡t✉r♥s t♦ ❛♥ ❛♥♥♦✉♥❝❡♠❡♥t ♦♥ ❞❛② t ✐♠♣❛❝t❡❞ ❜② t❤❡ s❛❧✐❡♥t s✉r♣r✐s❡ ❢r♦♠ t −✶❄ reti,[t−✶,t+✶] = β✵ +β✶surpriset−✶ +own surprise bin +δym +εit
- own surprise bin✿ ✷✵ ❜✐♥s ❢♦r ♦✇♥ ❛♥♥♦✉♥❝❡❞ s✉r♣r✐s❡ ♦♥ ❞❛② t
- δym✿ ❨❡❛r✲♠♦♥t❤ ✜①❡❞ ❡✛❡❝ts
- ❱❛❧✉❡✲✇❡✐❣❤t❡❞ ❛♥❞ st❛♥❞❛r❞ ❡rr♦rs ❝❧✉st❡r❡❞ ❜② ❞❛t❡
- reti,[t−✶,t+✶]✿ ❈✉♠✉❧❛t✐✈❡ t −✷ ♠❛r❦❡t ❝❧♦s❡ t♦ t +✶ ♠❛r❦❡t ❝❧♦s❡
◮ ❈❤❛r❛❝t❡r✐st✐❝ ❛❞❥✉st❡❞✱ ❡①❝❧✉❞❡ ✜r♠ ❛♥♥♦✉♥❝✐♥❣ ♦♥ t ♦r t −✶ ❢r♦♠
❝❤❛r❛❝t❡r✐st✐❝ ♣♦rt❢♦❧✐♦
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✶ ✴ ✹✷
❖✉t❧✐♥❡
✶ ❊♠♣✐r✐❝❛❧ ♠❡t❤♦❞♦❧♦❣② ✷ ❇❛s❡❧✐♥❡ r❡s✉❧ts ✸ P♦t❡♥t✐❛❧ ❛❧t❡r♥❛t✐✈❡ ❡①♣❧❛♥❛t✐♦♥s ✹ ❯♥❝♦♥❞✐t✐♦♥❛❧ r❡s✉❧ts ❛♥❞ tr❛❞✐♥❣ str❛t❡❣② ✺ ❍❡t❡r♦❣❡♥❡✐t② ❛♥❞ r♦❜✉st♥❡ss
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✶ ✴ ✹✷
❇❛s❡❧✐♥❡ r❡s✉❧ts
reti,[t−✶,t+✶] = β✵ +β✶surpriset−✶ +own surprise bin +δym +εit
Return [t −✶,t +✶] (1) (2) (3) (4) (5) (6) Surpriset−✶ of largest firm
- 0.617∗∗∗
- 0.422∗∗
(0.179) (0.188) Surpriset−✶ large firms, EW mean
- 1.075∗∗∗
- 0.944∗∗∗
(0.255) (0.277) Surpriset−✶ large firms, VW mean
- 0.945∗∗∗
- 0.887∗∗∗
(0.225) (0.244) Own surpriseit controls Yes Yes Yes Yes Yes Yes Year-month FE No Yes No Yes No Yes R✷ 0.0587 0.0833 0.0592 0.0838 0.0591 0.0838 Observations 75923 75923 75923 75923 75923 75923
❈♦❧✉♠♥ ✻✿ ❆ ❝❤❛♥❣❡ ✐♥ ②❡st❡r❞❛②✬s ❡❛r♥✐♥❣s s✉r♣r✐s❡ ❢r♦♠ t❤❡ ❧♦✇❡st t♦ ❤✐❣❤❡st ❞❡❝✐❧❡ ✺✸ ❜♣ ❧♦✇❡r r❡t✉r♥ r❡s♣♦♥s❡ t♦ t♦❞❛②✬s ❡❛r♥✐♥❣s ❛♥♥♦✉♥❝❡♠❡♥t
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✷ ✴ ✹✷
❇❛s❡❧✐♥❡ r❡s✉❧ts
reti,[t−✶,t+✶] = β✵ +β✶surpriset−✶ +own surprise bin +δym +εit
Return [t −✶,t +✶] (1) (2) (3) (4) (5) (6) Surpriset−✶ of largest firm
- 0.617∗∗∗
- 0.422∗∗
(0.179) (0.188) Surpriset−✶ large firms, EW mean
- 1.075∗∗∗
- 0.944∗∗∗
(0.255) (0.277) Surpriset−✶ large firms, VW mean
- 0.945∗∗∗
- 0.887∗∗∗
(0.225) (0.244) Own surpriseit controls Yes Yes Yes Yes Yes Yes Year-month FE No Yes No Yes No Yes R✷ 0.0587 0.0833 0.0592 0.0838 0.0591 0.0838 Observations 75923 75923 75923 75923 75923 75923
❈♦❧✉♠♥ ✻✿ ❆ ❝❤❛♥❣❡ ✐♥ ②❡st❡r❞❛②✬s ❡❛r♥✐♥❣s s✉r♣r✐s❡ ❢r♦♠ t❤❡ ❧♦✇❡st t♦ ❤✐❣❤❡st ❞❡❝✐❧❡ = ⇒ ✺✸ ❜♣ ❧♦✇❡r r❡t✉r♥ r❡s♣♦♥s❡ t♦ t♦❞❛②✬s ❡❛r♥✐♥❣s ❛♥♥♦✉♥❝❡♠❡♥t
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✷ ✴ ✹✷
❇❛s❡❧✐♥❡ ❣r❛♣❤
- .5
.5 Return % [t-1,t+1]
- .0075
- .005
- .0025
.0025 .005 .0075 Previous day's earnings surprise: Surpriset-1
❘❡t✉r♥s ♦❢ ✜r♠s t❤❛t ❛♥♥♦✉♥❝❡❞ ❡❛r♥✐♥❣s t♦❞❛② ✈s✳ ❛✈❡r❛❣❡ ❡❛r♥✐♥❣s s✉r♣r✐s❡ ♦❢ ❧❛r❣❡ ✜r♠s t❤❛t ❛♥♥♦✉♥❝❡❞ ②❡st❡r❞❛② ✭❝♦♥❞✐t✐♦♥❛❧ ♦♥ ♦✇♥ ❡❛r♥✐♥❣s s✉r♣r✐s❡✮
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✸ ✴ ✹✷
❘❡❛❝t✐♦♥ t♦ ♦✇♥ s✉r♣r✐s❡✱ ❝♦♥❞✐t✐♦♥❛❧ ♦♥ surpriset−✶
- 3
- 2
- 1
1 2 3 Return % [t-1,t+1] 20 40 60 80 100 Firm's own surprise (percentile rank) Surpriset-1 lowest decile Surpriset-1 highest decile
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✹ ✴ ✹✷
P♦t❡♥t✐❛❧ ✐♥t❡r❛❝t✐♦♥ ❡✛❡❝ts
Return [t −✶,t +✶] (1) (2) (3) Surpriset−✶
- 0.935∗∗∗
- 1.482∗∗∗
- 1.502∗∗
(0.256) (0.525) (0.677) Surpriset−✶ x own surprise 17.79 (38.11) Surpriset−✶ x own surprise (20 bins) 0.0660 (0.0483) Surpriset−✶ x own surprise quintile 2 0.296 (0.877) Surpriset−✶ x own surprise quintile 3 0.811 (0.903) Surpriset−✶ x own surprise quintile 4 0.986 (0.811) Surpriset−✶ x own surprise quintile 5 0.849 (1.023) Year-month FE Yes Yes Yes R✷ 0.0375 0.0809 0.0801 Observations 75923 75923 75923
- ◆♦ s✐❣♥✐✜❝❛♥t ✐♥t❡r❛❝t✐♦♥ ❜❡t✇❡❡♥ ②❡st❡r❞❛②✬s ❛♥❞ t♦❞❛②✬s s✉r♣r✐s❡
- ❙✐♠♣❧❡ ❞✐r❡❝t✐♦♥❛❧ ❡✛❡❝t✿ ❤✐❣❤❡r surpriset−✶ ♠❛❦❡s ❛♥② s✉r♣r✐s❡ t♦❞❛②
❧♦♦❦ s❧✐❣❤t❧② ✇♦rs❡ t❤❛♥ ✐t ✇♦✉❧❞ ❛♣♣❡❛r ✐❢ surpriset−✶ ❤❛❞ ❜❡❡♥ ❧♦✇❡r
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✺ ✴ ✹✷
▲♦♥❣❡r ❧❛❣s ❛♥❞ ❧❡❛❞s
❊①♣❡r✐♠❡♥t❛❧ st✉❞✐❡s ♦❢ ❝♦♥tr❛st ❡✛❡❝ts s✉❣❣❡st t❤❛t ✐♥❞✐✈✐❞✉❛❧s r❡❛❝t ♠♦r❡ str♦♥❣❧② t♦ ♠♦r❡ r❡❝❡♥t ♦❜s❡r✈❛t✐♦♥s ❋♦r ❡❛r♥✐♥❣s s✉r♣r✐s❡s✱ ✇❡ ❡①♣❡❝t t❤❛t t❤❡ t −✶ s❛❧✐❡♥t s✉r♣r✐s❡ ✇✐❧❧ ♠❛tt❡r ♠♦r❡ t❤❛♥✿
- ▲❛❣s t −✷ ❛♥❞ t −✸
- ▲❡❛❞s t +✶ ❛♥❞ t +✷
❲❡ ❡①t❡♥❞ t❤❡ r❡t✉r♥ ✇✐♥❞♦✇ t♦ ❝♦✈❡r t❤❡ ❡♥t✐r❡ ♣❡r✐♦❞ ❡①❛♠✐♥❡❞
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✻ ✴ ✹✷
▲♦♥❣❡r ❧❛❣s ❛♥❞ ❧❡❛❞s
Longer lags and leads (1) (2) Surpriset−✸
- 0.332
(0.215) Surpriset−✷ 0.124 (0.268) Surpriset−✶
- 0.841∗∗∗
- 0.875∗∗∗
(0.272) (0.310) Surpriset+✶ 0.199 (0.387) Surpriset+✷
- 0.101
(0.394) p-value: (t-3) = (t-1) 0.0931 p-value: (t-2) = (t-1) 0.00591 p-value: (t+1) = (t-1) 0.0260 p-value: (t+2) = (t-1) 0.118 Own surpriseit controls Yes Yes Year-month FE Yes Yes R✷ 0.0824 0.0727 Observations 75870 75885 ❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✼ ✴ ✹✷
▲♦♥❣❡r ❧❛❣s ❛♥❞ ❧❡❛❞s
Longer lags and leads (1) (2) Surpriset−✸
- 0.332
(0.215) Surpriset−✷ 0.124 (0.268) Surpriset−✶
- 0.841∗∗∗
- 0.875∗∗∗
(0.272) (0.310) Surpriset+✶ 0.199 (0.387) Surpriset+✷
- 0.101
(0.394) p-value: (t-3) = (t-1) 0.0931 p-value: (t-2) = (t-1) 0.00591 p-value: (t+1) = (t-1) 0.0260 p-value: (t+2) = (t-1) 0.118 Own surpriseit controls Yes Yes Year-month FE Yes Yes R✷ 0.0824 0.0727 Observations 75870 75885
- ❙tr♦♥❣ ❝♦♥tr❛st ❡✛❡❝t ❢♦r t −✶
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✼ ✴ ✹✷
▲♦♥❣❡r ❧❛❣s ❛♥❞ ❧❡❛❞s
Longer lags and leads (1) (2) Surpriset−✸
- 0.332
(0.215) Surpriset−✷ 0.124 (0.268) Surpriset−✶
- 0.841∗∗∗
- 0.875∗∗∗
(0.272) (0.310) Surpriset+✶ 0.199 (0.387) Surpriset+✷
- 0.101
(0.394) p-value: (t-3) = (t-1) 0.0931 p-value: (t-2) = (t-1) 0.00591 p-value: (t+1) = (t-1) 0.0260 p-value: (t+2) = (t-1) 0.118 Own surpriseit controls Yes Yes Year-month FE Yes Yes R✷ 0.0824 0.0727 Observations 75870 75885
- ❙tr♦♥❣ ❝♦♥tr❛st ❡✛❡❝t ❢♦r t −✶
- ❲❡❛❦ ❛♥❞ ✐♥❝♦♥s✐st❡♥t ❡✛❡❝ts ❛t
♣r✐♦r ❧❛❣s
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✼ ✴ ✹✷
▲♦♥❣❡r ❧❛❣s ❛♥❞ ❧❡❛❞s
Longer lags and leads (1) (2) Surpriset−✸
- 0.332
(0.215) Surpriset−✷ 0.124 (0.268) Surpriset−✶
- 0.841∗∗∗
- 0.875∗∗∗
(0.272) (0.310) Surpriset+✶ 0.199 (0.387) Surpriset+✷
- 0.101
(0.394) p-value: (t-3) = (t-1) 0.0931 p-value: (t-2) = (t-1) 0.00591 p-value: (t+1) = (t-1) 0.0260 p-value: (t+2) = (t-1) 0.118 Own surpriseit controls Yes Yes Year-month FE Yes Yes R✷ 0.0824 0.0727 Observations 75870 75885
- ❙tr♦♥❣ ❝♦♥tr❛st ❡✛❡❝t ❢♦r t −✶
- ❲❡❛❦ ❛♥❞ ✐♥❝♦♥s✐st❡♥t ❡✛❡❝ts ❛t
♣r✐♦r ❧❛❣s
- ❲❡❛❦ ❛♥❞ ✐♥❝♦♥s✐st❡♥t ❡✛❡❝ts
❢✉rt❤❡r ✐♥ t❤❡ ❢✉t✉r❡
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✼ ✴ ✹✷
❙❛♠❡ ❞❛② ❝♦♥tr❛st ❡✛❡❝ts
▼♦st ❡❛r♥✐♥❣s ❛♥♥♦✉♥❝❡♠❡♥ts ❛r❡ ♠❛❞❡ ❡✐t❤❡r s❤♦rt❧② ❜❡❢♦r❡ ♠❛r❦❡t ♦♣❡♥ ✭❆▼✮ ♦r s❤♦rt❧② ❛❢t❡r ♠❛r❦❡t ❝❧♦s❡ ✭P▼✮
- ❙♦♠❡ ✜r♠s ❞♦ ♥♦t ♣r❡s❝❤❡❞✉❧❡ t❤❡ ❡①❛❝t ❛♥♥♦✉♥❝❡♠❡♥t t✐♠❡✱ s♦ ✇❡
♣r❡s❡♥t t❤✐s ❛s s✉♣♣❧❡♠❡♥t❛r② ❛♥❛❧②s✐s ❙❛❧✐❡♥t ❆▼ s✉r♣r✐s❡s s❤♦✉❧❞ ♥❡❣❛t✐✈❡❧② ✐♠♣❛❝t t❤❡ r❡t✉r♥ r❡s♣♦♥s❡ ❢♦r ✜r♠s t❤❛t ❛♥♥♦✉♥❝❡ ❧❛t❡r ✐♥ t❤❡ ❛❢t❡r♥♦♦♥ ■♥ t❤❡♦r②✱ s❛❧✐❡♥t P▼ s✉r♣r✐s❡s ❝♦✉❧❞ ❛❧s♦ ♥❡❣❛t✐✈❡❧② ✐♠♣❛❝t t❤❡ ✭✷✲❞❛②✮ r❡t✉r♥ r❡s♣♦♥s❡ ❢♦r ✜r♠s t❤❛t ❛♥♥♦✉♥❝❡❞ ❡❛r❧✐❡r ✐♥ t❤❡ ❆▼
- ❇✉t✱ ✇♦✉❧❞ r❡q✉✐r❡ ✐♥✈❡st♦rs t♦ r❡✈✐s❡ t❤❡✐r ✐♥✐t✐❛❧ ♣❡r❝❡♣t✐♦♥s ♦❢ ❆▼
❛♥♥♦✉♥❝❡♠❡♥ts ✐♥ ❧✐❣❤t ♦❢ s✉❜s❡q✉❡♥t P▼ ❛♥♥♦✉♥❝❡♠❡♥ts
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✽ ✴ ✹✷
❙❛♠❡ ❞❛② ❝♦♥tr❛st ❡✛❡❝ts
Own PM announcement Own AM announcement (1) (2) AM surprise of others
- 1.472∗∗
(0.673) PM surprise of others
- 0.417
(0.312) Own surpriseit controls Yes Yes Year-month FE Yes Yes R✷ 0.161 0.107 Observations 19346 17874
❆▼ s✉r♣r✐s❡s ❞✐st♦rt r❡t✉r♥ r❡❛❝t✐♦♥s t♦ P▼ ❛♥♥♦✉♥❝❡♠❡♥ts P▼ s✉r♣r✐s❡s ❞♦ ♥♦t s✐❣♥✐✜❝❛♥t❧② ❛✛❡❝t r❡t✉r♥ r❡❛❝t✐♦♥s t♦ ❆▼ ❛♥♥♦✉♥❝❡♠❡♥ts
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✾ ✴ ✹✷
❙❛♠❡ ❞❛② ❝♦♥tr❛st ❡✛❡❝ts
Own PM announcement Own AM announcement (1) (2) AM surprise of others
- 1.472∗∗
(0.673) PM surprise of others
- 0.417
(0.312) Own surpriseit controls Yes Yes Year-month FE Yes Yes R✷ 0.161 0.107 Observations 19346 17874
- ❆▼ s✉r♣r✐s❡s ❞✐st♦rt
r❡t✉r♥ r❡❛❝t✐♦♥s t♦ P▼ ❛♥♥♦✉♥❝❡♠❡♥ts P▼ s✉r♣r✐s❡s ❞♦ ♥♦t s✐❣♥✐✜❝❛♥t❧② ❛✛❡❝t r❡t✉r♥ r❡❛❝t✐♦♥s t♦ ❆▼ ❛♥♥♦✉♥❝❡♠❡♥ts
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✾ ✴ ✹✷
❙❛♠❡ ❞❛② ❝♦♥tr❛st ❡✛❡❝ts
Own PM announcement Own AM announcement (1) (2) AM surprise of others
- 1.472∗∗
(0.673) PM surprise of others
- 0.417
(0.312) Own surpriseit controls Yes Yes Year-month FE Yes Yes R✷ 0.161 0.107 Observations 19346 17874
- ❆▼ s✉r♣r✐s❡s ❞✐st♦rt
r❡t✉r♥ r❡❛❝t✐♦♥s t♦ P▼ ❛♥♥♦✉♥❝❡♠❡♥ts
- P▼ s✉r♣r✐s❡s ❞♦ ♥♦t
s✐❣♥✐✜❝❛♥t❧② ❛✛❡❝t r❡t✉r♥ r❡❛❝t✐♦♥s t♦ ❆▼ ❛♥♥♦✉♥❝❡♠❡♥ts
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✶✾ ✴ ✹✷
▲♦♥❣ r✉♥ r❡✈❡rs❛❧s
❈♦♥tr❛st ❡✛❡❝ts ❛r❡ ❛ ❜✐❛s ✐♥ ✐♥❢♦r♠❛t✐♦♥ ♣r♦❝❡ss✐♥❣ ■❢ ♣r✐❝❡s ❡✈❡♥t✉❛❧❧② ❝♦♥✈❡r❣❡ t♦ ❢✉♥❞❛♠❡♥t❛❧s
- ❲❡ ❡①♣❡❝t t♦ s❡❡ t❤❡ ❝♦♥tr❛st ❡✛❡❝t r❡✈❡rs❡ ♦✈❡r t✐♠❡
[t −✶,t +✶✵] [t −✶,t +✷✵] [t −✶,t +✸✵] [t −✶,t +✹✵] [t −✶,t +✺✵] (1) (2) (3) (4) (5) Surpriset−✶
- 0.837∗∗
- 0.831∗∗
- 0.317
- 0.0945
0.493 (0.405) (0.409) (0.497) (0.561) (0.686) Own surpriseit controls Yes Yes Yes Yes Yes Year-month FE Yes Yes Yes Yes Yes R✷ 0.0616 0.0465 0.0375 0.0373 0.0359 Observations 75736 75567 75362 74995 74149 [t +✶,t +✶✵] [t +✶,t +✷✵] [t +✶,t +✸✵] [t +✶,t +✹✵] [t +✶,t +✺✵] ✭✶✮ ✭✷✮ ✭✸✮ ✭✹✮ ✭✺✮ Surpriset−✶ ✵✳✵✵✾✻✾ ✵✳✵✸✼✶ ✵✳✹✼✷ ✵✳✼✺✺ ✶✳✸✷✼∗ ✭✵✳✸✹✵✮ ✭✵✳✸✼✶✮ ✭✵✳✹✽✷✮ ✭✵✳✺✺✾✮ ✭✵✳✻✼✼✮ ❖✇♥ surpriseit ❝♦♥tr♦❧s ❨❡s ❨❡s ❨❡s ❨❡s ❨❡s ❨❡❛r✲♠♦♥t❤ ❋❊ ❨❡s ❨❡s ❨❡s ❨❡s ❨❡s ❘✷ ✵✳✵✷✷✽ ✵✳✵✷✶✺ ✵✳✵✷✶✺ ✵✳✵✷✹✼ ✵✳✵✷✼✷ ❖❜s❡r✈❛t✐♦♥s ✼✺✼✽✸ ✼✺✻✵✼ ✼✺✸✾✼ ✼✺✵✷✽ ✼✹✶✼✾ ❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✷✵ ✴ ✹✷
▲♦♥❣ r✉♥ r❡✈❡rs❛❧s
❈♦♥tr❛st ❡✛❡❝ts ❛r❡ ❛ ❜✐❛s ✐♥ ✐♥❢♦r♠❛t✐♦♥ ♣r♦❝❡ss✐♥❣ ■❢ ♣r✐❝❡s ❡✈❡♥t✉❛❧❧② ❝♦♥✈❡r❣❡ t♦ ❢✉♥❞❛♠❡♥t❛❧s
- ❲❡ ❡①♣❡❝t t♦ s❡❡ t❤❡ ❝♦♥tr❛st ❡✛❡❝t r❡✈❡rs❡ ♦✈❡r t✐♠❡
[t −✶,t +✶✵] [t −✶,t +✷✵] [t −✶,t +✸✵] [t −✶,t +✹✵] [t −✶,t +✺✵] (1) (2) (3) (4) (5) Surpriset−✶
- 0.837∗∗
- 0.831∗∗
- 0.317
- 0.0945
0.493 (0.405) (0.409) (0.497) (0.561) (0.686) Own surpriseit controls Yes Yes Yes Yes Yes Year-month FE Yes Yes Yes Yes Yes R✷ 0.0616 0.0465 0.0375 0.0373 0.0359 Observations 75736 75567 75362 74995 74149 [t +✶,t +✶✵] [t +✶,t +✷✵] [t +✶,t +✸✵] [t +✶,t +✹✵] [t +✶,t +✺✵] ✭✶✮ ✭✷✮ ✭✸✮ ✭✹✮ ✭✺✮ Surpriset−✶ ✵✳✵✵✾✻✾ ✵✳✵✸✼✶ ✵✳✹✼✷ ✵✳✼✺✺ ✶✳✸✷✼∗ ✭✵✳✸✹✵✮ ✭✵✳✸✼✶✮ ✭✵✳✹✽✷✮ ✭✵✳✺✺✾✮ ✭✵✳✻✼✼✮ ❖✇♥ surpriseit ❝♦♥tr♦❧s ❨❡s ❨❡s ❨❡s ❨❡s ❨❡s ❨❡❛r✲♠♦♥t❤ ❋❊ ❨❡s ❨❡s ❨❡s ❨❡s ❨❡s ❘✷ ✵✳✵✷✷✽ ✵✳✵✷✶✺ ✵✳✵✷✶✺ ✵✳✵✷✹✼ ✵✳✵✷✼✷ ❖❜s❡r✈❛t✐♦♥s ✼✺✼✽✸ ✼✺✻✵✼ ✼✺✸✾✼ ✼✺✵✷✽ ✼✹✶✼✾ ❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✷✵ ✴ ✹✷
❖✉t❧✐♥❡
✶ ❊♠♣✐r✐❝❛❧ ♠❡t❤♦❞♦❧♦❣② ✷ ❇❛s❡❧✐♥❡ r❡s✉❧ts ✸ P♦t❡♥t✐❛❧ ❛❧t❡r♥❛t✐✈❡ ❡①♣❧❛♥❛t✐♦♥s ✹ ❯♥❝♦♥❞✐t✐♦♥❛❧ r❡s✉❧ts ❛♥❞ tr❛❞✐♥❣ str❛t❡❣② ✺ ❍❡t❡r♦❣❡♥❡✐t② ❛♥❞ r♦❜✉st♥❡ss
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✷✵ ✴ ✹✷
❘✉❧✐♥❣ ♦✉t ❛♥ ✐♥❢♦r♠❛t✐♦♥ tr❛♥s♠✐ss✐♦♥ st♦r②
❙✉♣♣♦s❡ ❆ ❛♥♥♦✉♥❝❡s ❛ ♣♦s✐t✐✈❡ s✉r♣r✐s❡ ♦♥ t −✶ ❛♥❞ ❇ ✇✐❧❧ ❛♥♥♦✉♥❝❡ ♦♥ t ❊♠♣✐r✐❝❛❧❧②✱ ✇❡ ✜♥❞ ❇ ❤❛s ❛ ❧♦✇ r❡t✉r♥✱ ❝♦♥❞✐t✐♦♥❛❧ ♦♥ ✐ts ♦✇♥ ❡❛r♥✐♥❣s ❈❛♥ ✐♥❢♦r♠❛t✐♦♥ tr❛♥s♠✐ss✐♦♥ ❡①♣❧❛✐♥ ❇✬s ❧♦✇ r❡t✉r♥❄
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✷✶ ✴ ✹✷
❆✬s ♣♦s✐t✐✈❡ s✉r♣r✐s❡ ✐s ●❖❖❉ ♥❡✇s ❢♦r ❇❄
▼♦st ✜♥❛♥❝❡✴❛❝❝♦✉♥t✐♥❣ r❡s❡❛r❝❤ ❧♦♦❦s ❛t ♣♦s✐t✐✈❡❧② ❝♦rr❡❧❛t❡❞ ♥❡✇s tr❛♥s♠✐ss✐♦♥ ❜② ✏❜❡❧❧✇❡t❤❡r✑ ✜r♠s ❆✬s ♣♦s✐t✐✈❡ s✉r♣r✐s❡ ✐♥❝r❡❛s❡s ❡①♣❡❝t❛t✐♦♥s ❢♦r ❇✬s ♣r♦s♣❡❝ts ✴ ❡❛r♥✐♥❣s ⇒
- ❍✐❣❤❡r r❡t✉r♥s ❢♦r ❇ ♦♥ t −✶
- ▲♦✇❡r r❡t✉r♥s ❢♦r ❇ ♦♥ t ❢♦r ❛ ❣✐✈❡♥ ❧❡✈❡❧ ♦❢ ❡❛r♥✐♥❣s
❆✬s s✉r♣r✐s❡ s❤♦✉❧❞ ♥♦t ♥❡❣❛t✐✈❡❧② ❛✛❡❝t ❇✬s ❝✉♠✉❧❛t✐✈❡ r❡t✉r♥ ❢r♦♠ t −✶ t♦ t +✶ ❖✉r r❡s✉❧ts ❝❛♥✬t ❜❡ ❡①♣❧❛✐♥❡❞ ❜② ♣♦s✐t✐✈❡ ❝♦rr❡❧❛t✐♦♥ ✐♥ ♥❡✇s✱ ❜❡❝❛✉s❡ ✇❡ ✉s❡ ❇✬s ❝✉♠✉❧❛t✐✈❡ r❡t✉r♥s ✭st❛rt✐♥❣ ❛t ♠❛r❦❡t ❝❧♦s❡ ♦♥ t −✷✮
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✷✷ ✴ ✹✷
❆✬s ♣♦s✐t✐✈❡ s✉r♣r✐s❡ ✐s ❇❆❉ ♥❡✇s ❢♦r ❇❄
❆✬s ❡❛r♥✐♥❣s s✉r♣r✐s❡ ✐s ♥♦t ♥❡❣❛t✐✈❡❧② ❝♦rr❡❧❛t❡❞ ✇✐t❤ ❇✬s s✉r♣r✐s❡
- P♦s✐t✐✈❡❧② ❝♦rr❡❧❛t❡❞ ♥❡✇s ✇✐t❤♦✉t ❝♦♥tr♦❧❧✐♥❣ ❢♦r t✐♠❡ tr❡♥❞s
- ◆♦ ❝♦rr❡❧❛t✐♦♥ ❛❢t❡r ❛❝❝♦✉♥t✐♥❣ ❢♦r s❧♦✇❡r✲♠♦✈✐♥❣ t✐♠❡ tr❡♥❞s ✇✐t❤
②❡❛r✲♠♦♥t❤ ❋❊ ▼❛②❜❡ ❆✬s ❣♦♦❞ ♥❡✇s ✐s ❜❛❞ ♥♦♥✲❡❛r♥✐♥❣s ♥❡✇s ❢♦r ❇ ■❢ s♦✱ ❇✬s ♣r✐❝❡ s❤♦✉❧❞ ❞✐♣ ♦♥ ✶ ▼❛r❦❡t ❞♦❡s ♥♦t r❡s♣♦♥❞ ❛s ✐❢ ✐♥❢♦r♠❛t✐♦♥ ✐s tr❛♥s♠✐tt❡❞
Surpriseit Open-to-open ret [t −✶] (1) (2) (3) (4) Surpriset−✶ 0.157∗∗∗ 0.0115 0.128 0.0655 (0.0603) (0.0602) (0.155) (0.145) Own surpriseit controls No No No No Year-month FE No Yes No Yes R✷ 0.00204 0.0324 0.000153 0.0253 Observations 75923 75923 61732 61732 ❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✷✸ ✴ ✹✷
❆✬s ♣♦s✐t✐✈❡ s✉r♣r✐s❡ ✐s ❇❆❉ ♥❡✇s ❢♦r ❇❄
❆✬s ❡❛r♥✐♥❣s s✉r♣r✐s❡ ✐s ♥♦t ♥❡❣❛t✐✈❡❧② ❝♦rr❡❧❛t❡❞ ✇✐t❤ ❇✬s s✉r♣r✐s❡
- P♦s✐t✐✈❡❧② ❝♦rr❡❧❛t❡❞ ♥❡✇s ✇✐t❤♦✉t ❝♦♥tr♦❧❧✐♥❣ ❢♦r t✐♠❡ tr❡♥❞s
- ◆♦ ❝♦rr❡❧❛t✐♦♥ ❛❢t❡r ❛❝❝♦✉♥t✐♥❣ ❢♦r s❧♦✇❡r✲♠♦✈✐♥❣ t✐♠❡ tr❡♥❞s ✇✐t❤
②❡❛r✲♠♦♥t❤ ❋❊ ▼❛②❜❡ ❆✬s ❣♦♦❞ ♥❡✇s ✐s ❜❛❞ ♥♦♥✲❡❛r♥✐♥❣s ♥❡✇s ❢♦r ❇
- ■❢ s♦✱ ❇✬s ♣r✐❝❡ s❤♦✉❧❞ ❞✐♣ ♦♥ t −✶
- ▼❛r❦❡t ❞♦❡s ♥♦t r❡s♣♦♥❞ ❛s ✐❢ ✐♥❢♦r♠❛t✐♦♥ ✐s tr❛♥s♠✐tt❡❞
Surpriseit Open-to-open ret [t −✶] (1) (2) (3) (4) Surpriset−✶ 0.157∗∗∗ 0.0115 0.128 0.0655 (0.0603) (0.0602) (0.155) (0.145) Own surpriseit controls No No No No Year-month FE No Yes No Yes R✷ 0.00204 0.0324 0.000153 0.0253 Observations 75923 75923 61732 61732 ❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✷✸ ✴ ✹✷
❆✬s ♣♦s✐t✐✈❡ s✉r♣r✐s❡ ✐s ❇❆❉ ♥❡✇s ❢♦r ❇❄
❲❡ ❡st✐♠❛t❡ ❝❧♦s❡✲t♦✲③❡r♦ ✐♥❢♦r♠❛t✐♦♥ tr❛♥s♠✐ss✐♦♥ ♦♥ ❛✈❡r❛❣❡
- ▼❛②❜❡ t❤❡r❡✬s ❛ s✉❜s❛♠♣❧❡ ✇✐t❤ ♥❡❣❛t✐✈❡❧② ❝♦rr❡❧❛t❡❞ ✐♥❢♦r♠❛t✐♦♥
tr❛♥s♠✐ss✐♦♥ t❤❛t ❞r✐✈❡s t❤❡ r❡s✉❧ts
- ■❢ ✐♥❢♦r♠❛t✐♦♥ ❡①♣❧❛✐♥s ♦✉r r❡s✉❧ts✱ ✇❡ s❤♦✉❧❞ ✜♥❞ ♥♦ ♥❡❣❛t✐✈❡ r❡❧❛t✐♦♥
❛❢t❡r ❧✐♠✐t✐♥❣ t♦ s✉❜s❛♠♣❧❡s ✐♥ ✇❤✐❝❤ t❤❡ ♠❛r❦❡t r❡❛❝t❡❞ ❛s ✐❢ ♥♦ ✐♥❢♦r♠❛t✐♦♥ ✇❛s r❡❧❡❛s❡❞ ✐♥ t −✶
|Rett−✶| < ✵.✵✶ |Rett−✶| < ✵.✵✵✺ No neg corr info transmission [t −✶] (1) (2) (3) Surpriset−✶
- 0.915∗∗
- 0.868∗∗
- 1.454∗∗∗
(0.362) (0.410) (0.335) Return type Open-open Open-open Open-open Own surpriseit controls Yes Yes Yes Year-month FE Yes Yes Yes R✷ 0.115 0.162 0.0900 Observations 25907 14043 31137 ❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✷✸ ✴ ✹✷
❉❡❧❛②❡❞ r❡s♣♦♥s❡❄
❆✬s t −✶ s✉r♣r✐s❡ ✐s ❜❛❞ ♥❡✇s ❢♦r ❇✱ ❜✉t ♠❛r❦❡t ❞♦❡s ♥♦t r❡❛❝t ✉♥t✐❧ t
- ❘❛t✐♦♥❛❧ ✐♥✈❡st♦rs s❤♦✉❧❞ r❡❛❝t ♦♥ t −✶ ❜❡❝❛✉s❡ ❆✬s ❣♦♦❞ ♥❡✇s ♦♥
❛✈❡r❛❣❡ ♣r❡❞✐❝ts ♥❡❣❛t✐✈❡ r❡t✉r♥s ❢♦r ❇
- ❇♦✉♥❞❡❞❧② r❛t✐♦♥❛❧ ✐♥✈❡st♦rs ♠❛② ✇❛✐t ✉♥t✐❧ t ✇❤❡♥ ❇ ✐s ❢❡❛t✉r❡❞ ✐♥
t❤❡ ♥❡✇s ❛s ✐t ❛♥♥♦✉♥❝❡s ❡❛r♥✐♥❣s ❍♦✇❡✈❡r✿
- ■❢ ♣r❡✈✐♦✉s ❛♥♥♦✉♥❝❡♠❡♥ts ❝♦♥✈❡② ✐♥❢♦r♠❛t✐♦♥✱ ✇❡ s❤♦✉❧❞ s❡❡ s✐♠✐❧❛r
❡✛❡❝ts ❢r♦♠ ❡❛r❧✐❡r s✉r♣r✐s❡s ♦♥ t −✷ ❛♥❞ t −✸
- ■♥❢♦r♠❛t✐♦♥ tr❛♥s♠✐ss✐♦♥ ✭✇✐t❤ ♦r ✇✐t❤♦✉t ❞❡❧❛②❡❞ r❡s♣♦♥s❡✮ s❤♦✉❧❞
♥♦t ❧❡❛❞ t♦ ❛ ❧♦♥❣✲r✉♥ r❡✈❡rs❛❧
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✷✹ ✴ ✹✷
❘❡♠❛✐♥✐♥❣ ✭✈❡r② ❝♦♠♣❧❡①✮ ✐♥❢♦r♠❛t✐♦♥ st♦r②
✶ ❆✬s t −✶ ♣♦s✐t✐✈❡ s✉r♣r✐s❡ ♠✉st ❝♦♥t❛✐♥ ♥❡❣❛t✐✈❡ ✐♥❢♦r♠❛t✐♦♥ ❢♦r ❇ ✷ ■♥❢♦r♠❛t✐♦♥ r❡❧❛t❡s t♦ ❇✬s ♣r♦s♣❡❝ts ♦t❤❡r t❤❛♥ ❇✬s ❡❛r♥✐♥❣s ✸ ❘❛t✐♦♥❛❧ ✐♥✈❡st♦rs s❤♦✉❧❞ ♥♦t ✇❛✐t ✉♥t✐❧ ❞❛② t t♦ r❡❛❝t ✹ ◆❡✈❡rt❤❡❧❡ss✱ t❤❡ ♠❛r❦❡t ❞♦❡s r❡❛❝t ✉♥t✐❧ ❞❛② t✱ ❛♥❞ ✐t r❡❛❝ts ✐♥ ❛
❜✐❛s❡❞ ♠❛♥♥❡r✱ ❧❡❛❞✐♥❣ t♦ ❛ ❧♦♥❣ r✉♥ r❡✈❡rs❛❧
✺ ❚❤❡ r❡❧❡✈❛♥t ✐♥❢♦r♠❛t✐♦♥ ❢♦r ❇ ✐s ♦♥❧② ✐♥ t −✶ s✉r♣r✐s❡s✱ ❜✉t ♥♦t ❡❛r❧✐❡r
s✉r♣r✐s❡s r❡❧❡❛s❡❞ ♦♥ t −✷ ♦r t −✸
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✷✺ ✴ ✹✷
❊①♣❡❝t❛t✐♦♥s ✈s✳ P❡r❝❡♣t✐♦♥s
❊①♣❡❝t❛t✐♦♥❛❧ ❡rr♦r✿ ❊①♣♦s✉r❡ t♦ ❛ ♣r❡✈✐♦✉s s✐❣♥❛❧ ❜✐❛s❡s ❜❡❧✐❡❢s ❛♥❞ ❡①♣❡❝t❛t✐♦♥s ❛❜♦✉t t❤❡ q✉❛❧✐t② ♦❢ t❤❡ ♥❡①t s✐❣♥❛❧
- ▲❛r❣❡ ❧✐t❡r❛t✉r❡ ♦♥ ❡①tr❛♣♦❧❛t✐✈❡ ❜❡❧✐❡❢s ♦r ❣❛♠❜❧❡r✬s ❢❛❧❧❛❝②
- Pr❡❞✐❝ts t❤❛t ❇✬s ♣r✐❝❡ s❤♦✉❧❞ ❝❤❛♥❣❡ ♦♥ t −✶
P❡r❝❡♣t✐♦♥ ❡rr♦r✿ Pr❡✈✐♦✉s s✐❣♥❛❧ ❜✐❛s❡s ♣❡r❝❡♣t✐♦♥ ♦❢ t❤❡ ♥❡①t s✐❣♥❛❧ ✕ ❖❝❝✉rs ♦♥❧② ❛❢t❡r ✈✐❡✇✐♥❣ t❤❡ ♥❡①t s✐❣♥❛❧
- Pr❡❞✐❝ts ❛ ❜✐❛s❡❞ r❡t✉r♥ r❡❛❝t✐♦♥ t♦ ❇✬s ❛♥♥♦✉♥❝❡♠❡♥t ♦♥❧② ❛❢t❡r t❤❡
❛♥♥♦✉♥❝❡♠❡♥t ♦❝❝✉rs ▲❛❝❦ ♦❢ r❡t✉r♥ r❡❛❝t✐♦♥ ♦♥ t −✶ s❤♦✇s t❤❛t ❝♦♥tr❛st ❡✛❡❝ts ✐s ❛♥ ❡rr♦r ✐♥ ♣❡r❝❡♣t✐♦♥s r❛t❤❡r t❤❛♥ ❛♥ ❡rr♦r ✐♥ ❡①♣❡❝t❛t✐♦♥s
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✷✻ ✴ ✹✷
❙tr❛t❡❣✐❝ ♠❛♥✐♣✉❧❛t✐♦♥
❋✐r♠s ♠❛② ♠❛♥✐♣✉❧❛t❡ t❤❡ t✐♠✐♥❣ ♦r ♠❛❣♥✐t✉❞❡ ♦❢ t❤❡✐r ❡❛r♥✐♥❣s ❛♥♥♦✉♥❝❡♠❡♥ts ✭❉❡❧❧❛❱✐❣♥❛ ✷✵✵✾✱ ❙♦ ✷✵✶✺✮ ❲✐❧❧ ♦♥❧② ❜✐❛s ♦✉r r❡s✉❧ts ✐❢ ✜r♠s ❛❧t❡r t❤❡✐r ❡❛r♥✐♥❣s ❛♥♥♦✉♥❝❡♠❡♥ts ❛s ❛ ❢✉♥❝t✐♦♥ ♦❢ surpriset−✶ ❯♥❧✐❦❡❧②✱ ❜❡❝❛✉s❡ ❡❛r♥✐♥❣s ❛r❡ s❝❤❡❞✉❧❡❞ ❛t ❧❡❛st t✇♦ ✇❡❡❦s ❜❡❢♦r❡❤❛♥❞
- ❲♦✉❧❞ ♥❡❡❞ t♦ ❦♥♦✇ ✇❤❛t t❤❡ ♦t❤❡r ✜r♠✬s s✉r♣r✐s❡ ✇✐❧❧ ❜❡ ✐♥ ♦r❞❡r t♦
str❛t❡❣✐❝❛❧❧② s❝❤❡❞✉❧❡
- ❍❛r❞ t♦ ♠❛♥✐♣✉❧❛t❡ ❡❛r♥✐♥❣s q✉✐❝❦❧② ❛s ❛ r❡❛❝t✐♦♥ t♦ t −✶ s✉r♣r✐s❡s
❙✐♠✐❧❛r r❡s✉❧ts r❡str✐❝t✐♥❣ t❤❡ s❛♠♣❧❡ t♦ ✜r♠s t❤❛t ❛♥♥♦✉♥❝❡ ♦♥ t❤❡ s❛♠❡ ❞❛② ❛s ♣r❡✈✐♦✉s ②❡❛r
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✷✼ ✴ ✹✷
❙tr❛t❡❣✐❝ ♠❛♥✐♣✉❧❛t✐♦♥
Return [t −✶,t +✶] (1) (2) Surpriset−✶ x abs(∆ date)<=5
- 0.896∗∗∗
(0.267) Surpriset−✶ x abs(∆ date)>5
- 0.723
(0.704) Surpriset−✶ x ∆ date<-5 0.913 (0.845) Surpriset−✶ x abs(∆ date)<=5
- 0.903∗∗∗
(0.267) Surpriset−✶ x ∆ date>5
- 1.334
(0.918) Own surpriseit controls Yes Yes Year-month FE Yes Yes R✷ 0.0850 0.0854 Observations 70135 70135 ❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✷✽ ✴ ✹✷
❈❤❛♥❣❡s ✐♥ r✐s❦ ♦r tr❛❞✐♥❣ ❢r✐❝t✐♦♥s
- ❲❡ ✉s❡ ❝❤❛r❛❝t❡r✐st✐❝ ❛❞❥✉st❡❞ r❡t✉r♥s t♦ ❛❝❝♦✉♥t ❢♦r ✜①❡❞
✜r♠✲s♣❡❝✐✜❝ ❧♦❛❞✐♥❣s ♦♥ ❦♥♦✇♥ r✐s❦ ❢❛❝t♦rs
- ❋♦r r✐s❦ ♦r tr❛❞✐♥❣ ❢r✐❝t✐♦♥s t♦ ❡①♣❧❛✐♥ ♦✉r r❡s✉❧ts✱ ✐t ♠✉st ❜❡ t❤❛t ❛
♠♦r❡ ♥❡❣❛t✐✈❡ ❡❛r♥✐♥❣s s✉r♣r✐s❡ ②❡st❡r❞❛② ✐♥❝r❡❛s❡s t❤❡ ❞❛✐❧② ❧♦❛❞✐♥❣s ♦♥ r✐s❦ ❢❛❝t♦rs✱ t❛✐❧ r✐s❦✱ ✐❧❧✐q✉✐❞✐t②✱ ♦r ✈♦❧❛t✐❧✐t② ♦❢ ✜r♠s ❛♥♥♦✉♥❝✐♥❣ t♦❞❛②
◮ ❉♦♥✬t ✜♥❞ ❛♥② ❡✈✐❞❡♥❝❡ ❢♦r t❤❡s❡ q✉❛♥t✐t✐❡s ❝❤❛♥❣✐♥❣
- ❆ ❧✐♠✐t❡❞ ❝❛♣✐t❛❧ ❡①♣❧❛♥❛t✐♦♥ ♣r❡❞✐❝ts ❧♦✇ ✈♦❧✉♠❡ ❢♦❧❧♦✇✐♥❣ ❤✐❣❤
surpriset−✶ ✕ ◆♦ ❡✈✐❞❡♥❝❡ ♦❢ t❤✐s ✐♥ ❞❛t❛
◮ ❍✐❣❤ surpriset−✶ ❞♦❡s ♥♦t ♣r❡❞✐❝t ❧♦✇ r❡t✉r♥s ❢♦r ♥♦♥✲❛♥♥♦✉♥❝✐♥❣ ✜r♠s ◮ Pr✐❝❡ ❝♦rr❡❝t✐♦♥ ♦❝❝✉rs s❧♦✇❧② ❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✷✾ ✴ ✹✷
❉✐str✐❜✉t✐♦♥ ♦❢ r❡t✉r♥s ❜② surpriset−✶
5 10 15 Density
- .2
- .1
.1 .2 Return [t-1,t+1] 1 10
Surpriset-1 deciles
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸✵ ✴ ✹✷
❖✉t❧✐♥❡
✶ ❊♠♣✐r✐❝❛❧ ♠❡t❤♦❞♦❧♦❣② ✷ ❇❛s❡❧✐♥❡ r❡s✉❧ts ✸ P♦t❡♥t✐❛❧ ❛❧t❡r♥❛t✐✈❡ ❡①♣❧❛♥❛t✐♦♥s ✹ ❯♥❝♦♥❞✐t✐♦♥❛❧ r❡s✉❧ts ❛♥❞ tr❛❞✐♥❣ str❛t❡❣② ✺ ❍❡t❡r♦❣❡♥❡✐t② ❛♥❞ r♦❜✉st♥❡ss
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸✵ ✴ ✹✷
❈♦♥tr❛st ❡✛❡❝ts ✇✐t❤♦✉t ❝♦♥❞✐t✐♦♥✐♥❣ ♦♥ t♦❞❛②✬s s✉r♣r✐s❡
❘❡t✉r♥s ❝❧❡❛r❧② r❡s♣♦♥❞ t♦ t❤❡ ✜r♠s✬ ♦✇♥ ❡❛r♥✐♥❣ s✉r♣r✐s❡
- ❍❡♥❝❡✱ ❜❛s❡❧✐♥❡ s♣❡❝✐✜❝❛t✐♦♥ ❝♦♥tr♦❧s ❢♦r ♦✇♥ s✉r♣r✐s❡
❇✉t✱ surpriset−✶ ✐s ✉♥❝♦rr❡❧❛t❡❞ ✇✐t❤ surpriseit✱ ❛❢t❡r ❝♦♥tr♦❧❧✐♥❣ ❢♦r s❧♦✇✲♠♦✈✐♥❣ t✐♠❡ tr❡♥❞s
- ❍✐❣❤ surpriset−✶ ✇✐❧❧ ❧❡❛❞ t♦ ❧♦✇ r❡t✉r♥s ✐♥ ❡①♣❡❝t❛t✐♦♥ ❢♦r ✜r♠s
s❝❤❡❞✉❧❡❞ t♦ ❛♥♥♦✉♥❝❡ t❤❡ ♥❡①t ❞❛②
- ■❢ ✇❡ ❞♦♥✬t ❝♦♥❞✐t✐♦♥ ♦♥ t❤❡ ✜r♠✬s ♦✇♥ s✉r♣r✐s❡✱ ❝❛♥ tr❛❞❡ ❜❛s❡❞ ✉♣♦♥
t −✶ ♥❡✇s
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸✶ ✴ ✹✷
❯♥❝♦♥❞✐t✐♦♥❛❧ r❡❧❛t✐♦♥s❤✐♣
- .5
.5 Return % [t-1,t+1]
- .0075
- .005
- .0025
.0025 .005 .0075 Previous day's earnings surprise: Surpriset-1 ❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸✷ ✴ ✹✷
❈✉♠✉❧❛t✐✈❡ ✉♥❝♦♥❞✐t✐♦♥❛❧ r❡t✉r♥s
- .3
- .2
- .1
.1 .2 .3 Cumulative return [%] 2 4 6 8 10 Trading days after announcement Surpriset-1>75th pctile Surpriset-1<25th pctile ❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸✸ ✴ ✹✷
❚r❛❞✐♥❣ str❛t❡❣②
▲♦♥❣✿ ❋✐r♠s ❛♥♥♦✉♥❝✐♥❣ ❡❛r♥✐♥❣s ❛t t ✐❢ surpriset−✶ ✇❛s ❧♦✇
- ❙❤♦rt t❤❡ ♠❛r❦❡t
❙❤♦rt✿ ❋✐r♠s ❛♥♥♦✉♥❝✐♥❣ ❡❛r♥✐♥❣s ❛t t ✐❢ surpriset−✶ ✇❛s ❤✐❣❤
- ▲♦♥❣ t❤❡ ♠❛r❦❡t
❙tr❛t❡❣②
- ❚r❛❞❡ ♦♥❧② ✜r♠s ✐♥ t♦♣ q✉✐♥t✐❧❡ ♦❢ s✐③❡
- ❍♦❧❞ ❢♦r ❛♥♥♦✉♥❝❡♠❡♥t ❞❛② t ❛♥❞ t +✶
❋❛♠❛✲❋r❡♥❝❤ ✹✲❢❛❝t♦r r❡❣r❡ss✐♦♥s
- rett = α +β✶MktRf +β✷SMB +β✸HML+β✹UMD
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸✹ ✴ ✹✷
❚r❛❞✐♥❣ str❛t❡❣②
5 or More Stocks Any Number of Stocks (1) (2) (3) (4) Alpha [%] 0.0985∗∗ 0.216∗∗∗ 0.0855∗ 0.182∗∗∗ (0.0447) (0.0532) (0.0487) (0.0556) MktRf
- 0.0233
0.00119
- 0.0877∗∗
- 0.0489
(0.0353) (0.0392) (0.0405) (0.0451) SMB 0.0868
- 0.0555
0.136∗ 0.0729 (0.0675) (0.0767) (0.0779) (0.0871) HML
- 0.0539
- 0.133∗
- 0.0234
- 0.180∗∗
(0.0708) (0.0771) (0.0757) (0.0825) UMD 0.0503 0.0380
- 0.0179
- 0.00971
(0.0478) (0.0537) (0.0538) (0.0591) Long Cutoff Surpriset−✶<0 Surpriset−✶<25th Pctile Surpriset−✶<0 Surpriset−✶<25th Pctile Short Cutoff Surpriset−✶>0 Surpriset−✶>75th Pctile Surpriset−✶>0 Surpriset−✶>75th Pctile Observations 1275 837 2150 1525 Annual Return[%] 6.48 9.47 9.62 14.9
❉❛✐❧② ❛❧♣❤❛s ♦❢ ✾ t♦ ✷✶ ❜❛s✐s ♣♦✐♥ts
◆♦t ♣♦ss✐❜❧❡ t♦ ✐♠♣❧❡♠❡♥t str❛t❡❣② ❡✈❡r②❞❛②
❚r❛❞✐♥❣ str❛t❡❣② ②✐❡❧❞s ✼✲✶✺✪ ❛❜♥♦r♠❛❧ r❡t✉r♥s ♣❡r ②❡❛r
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸✺ ✴ ✹✷
❚r❛❞✐♥❣ str❛t❡❣②
5 or More Stocks Any Number of Stocks (1) (2) (3) (4) Alpha [%] 0.0985∗∗ 0.216∗∗∗ 0.0855∗ 0.182∗∗∗ (0.0447) (0.0532) (0.0487) (0.0556) MktRf
- 0.0233
0.00119
- 0.0877∗∗
- 0.0489
(0.0353) (0.0392) (0.0405) (0.0451) SMB 0.0868
- 0.0555
0.136∗ 0.0729 (0.0675) (0.0767) (0.0779) (0.0871) HML
- 0.0539
- 0.133∗
- 0.0234
- 0.180∗∗
(0.0708) (0.0771) (0.0757) (0.0825) UMD 0.0503 0.0380
- 0.0179
- 0.00971
(0.0478) (0.0537) (0.0538) (0.0591) Long Cutoff Surpriset−✶<0 Surpriset−✶<25th Pctile Surpriset−✶<0 Surpriset−✶<25th Pctile Short Cutoff Surpriset−✶>0 Surpriset−✶>75th Pctile Surpriset−✶>0 Surpriset−✶>75th Pctile Observations 1275 837 2150 1525 Annual Return[%] 6.48 9.47 9.62 14.9
- ❉❛✐❧② ❛❧♣❤❛s ♦❢ ✾ t♦ ✷✶ ❜❛s✐s ♣♦✐♥ts
◮ ◆♦t ♣♦ss✐❜❧❡ t♦ ✐♠♣❧❡♠❡♥t str❛t❡❣② ❡✈❡r②❞❛②
❚r❛❞✐♥❣ str❛t❡❣② ②✐❡❧❞s ✼✲✶✺✪ ❛❜♥♦r♠❛❧ r❡t✉r♥s ♣❡r ②❡❛r
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸✻ ✴ ✹✷
❚r❛❞✐♥❣ str❛t❡❣②
5 or More Stocks Any Number of Stocks (1) (2) (3) (4) Alpha [%] 0.0985∗∗ 0.216∗∗∗ 0.0855∗ 0.182∗∗∗ (0.0447) (0.0532) (0.0487) (0.0556) MktRf
- 0.0233
0.00119
- 0.0877∗∗
- 0.0489
(0.0353) (0.0392) (0.0405) (0.0451) SMB 0.0868
- 0.0555
0.136∗ 0.0729 (0.0675) (0.0767) (0.0779) (0.0871) HML
- 0.0539
- 0.133∗
- 0.0234
- 0.180∗∗
(0.0708) (0.0771) (0.0757) (0.0825) UMD 0.0503 0.0380
- 0.0179
- 0.00971
(0.0478) (0.0537) (0.0538) (0.0591) Long Cutoff Surpriset−✶<0 Surpriset−✶<25th Pctile Surpriset−✶<0 Surpriset−✶<25th Pctile Short Cutoff Surpriset−✶>0 Surpriset−✶>75th Pctile Surpriset−✶>0 Surpriset−✶>75th Pctile Observations 1275 837 2150 1525 Annual Return[%] 6.48 9.47 9.62 14.9
- ❉❛✐❧② ❛❧♣❤❛s ♦❢ ✾ t♦ ✷✶ ❜❛s✐s ♣♦✐♥ts
◮ ◆♦t ♣♦ss✐❜❧❡ t♦ ✐♠♣❧❡♠❡♥t str❛t❡❣② ❡✈❡r②❞❛②
- ❚r❛❞✐♥❣ str❛t❡❣② ②✐❡❧❞s ✼✲✶✺✪ ❛❜♥♦r♠❛❧ r❡t✉r♥s ♣❡r ②❡❛r
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸✼ ✴ ✹✷
❖✉t❧✐♥❡
✶ ❊♠♣✐r✐❝❛❧ ♠❡t❤♦❞♦❧♦❣② ✷ ❇❛s❡❧✐♥❡ r❡s✉❧ts ✸ P♦t❡♥t✐❛❧ ❛❧t❡r♥❛t✐✈❡ ❡①♣❧❛♥❛t✐♦♥s ✹ ❯♥❝♦♥❞✐t✐♦♥❛❧ r❡s✉❧ts ❛♥❞ tr❛❞✐♥❣ str❛t❡❣② ✺ ❍❡t❡r♦❣❡♥❡✐t② ❛♥❞ r♦❜✉st♥❡ss
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸✼ ✴ ✹✷
❍❡t❡r♦❣❡♥❡✐t②✿ ❙✐③❡ ✫ ❆♥❛❧②st ❈♦✈❡r❛❣❡
Return [t −✶,t +✶] (1) (2) Surpriset−✶ x size quintile 1
- 0.393
(0.485) Surpriset−✶ x size quintile 2
- 0.398
(0.478) Surpriset−✶ x size quintile 3
- 0.391
(0.430) Surpriset−✶ x size quintile 4 0.200 (0.324) Surpriset−✶ x size quintile 5
- 0.997∗∗∗
(0.265) Surpriset−✶ x (num analysts = 1) 0.0726 (0.587) Surpriset−✶ x (num analysts = 2)
- 0.793∗
(0.477) Surpriset−✶ x (num analysts >= 3)
- 1.027∗∗∗
(0.279) Own surpriseit controls Yes Yes Year-month FE Yes Yes R✷ 0.0842 0.0842 Observations 75923 75923
❊✛❡❝t ❞r✐✈❡♥ ❜② t❤❡ ❧❛r❣❡st q✉✐♥t✐❧❡ ♦❢ ✜r♠s ❊✛❡❝t ❧❛r❣❡st ❢♦r ✜r♠s ❝♦✈❡r❡❞ ❜② ❛t ❧❡❛st ✸ ❛♥❛❧②sts
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸✽ ✴ ✹✷
❍❡t❡r♦❣❡♥❡✐t②✿ ❙✐③❡ ✫ ❆♥❛❧②st ❈♦✈❡r❛❣❡
Return [t −✶,t +✶] (1) (2) Surpriset−✶ x size quintile 1
- 0.393
(0.485) Surpriset−✶ x size quintile 2
- 0.398
(0.478) Surpriset−✶ x size quintile 3
- 0.391
(0.430) Surpriset−✶ x size quintile 4 0.200 (0.324) Surpriset−✶ x size quintile 5
- 0.997∗∗∗
(0.265) Surpriset−✶ x (num analysts = 1) 0.0726 (0.587) Surpriset−✶ x (num analysts = 2)
- 0.793∗
(0.477) Surpriset−✶ x (num analysts >= 3)
- 1.027∗∗∗
(0.279) Own surpriseit controls Yes Yes Year-month FE Yes Yes R✷ 0.0842 0.0842 Observations 75923 75923
- ❊✛❡❝t ❞r✐✈❡♥ ❜② t❤❡
❧❛r❣❡st q✉✐♥t✐❧❡ ♦❢ ✜r♠s ❊✛❡❝t ❧❛r❣❡st ❢♦r ✜r♠s ❝♦✈❡r❡❞ ❜② ❛t ❧❡❛st ✸ ❛♥❛❧②sts
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸✽ ✴ ✹✷
❍❡t❡r♦❣❡♥❡✐t②✿ ❙✐③❡ ✫ ❆♥❛❧②st ❈♦✈❡r❛❣❡
Return [t −✶,t +✶] (1) (2) Surpriset−✶ x size quintile 1
- 0.393
(0.485) Surpriset−✶ x size quintile 2
- 0.398
(0.478) Surpriset−✶ x size quintile 3
- 0.391
(0.430) Surpriset−✶ x size quintile 4 0.200 (0.324) Surpriset−✶ x size quintile 5
- 0.997∗∗∗
(0.265) Surpriset−✶ x (num analysts = 1) 0.0726 (0.587) Surpriset−✶ x (num analysts = 2)
- 0.793∗
(0.477) Surpriset−✶ x (num analysts >= 3)
- 1.027∗∗∗
(0.279) Own surpriseit controls Yes Yes Year-month FE Yes Yes R✷ 0.0842 0.0842 Observations 75923 75923
- ❊✛❡❝t ❞r✐✈❡♥ ❜② t❤❡
❧❛r❣❡st q✉✐♥t✐❧❡ ♦❢ ✜r♠s
- ❊✛❡❝t ❧❛r❣❡st ❢♦r ✜r♠s
❝♦✈❡r❡❞ ❜② ❛t ❧❡❛st ✸ ❛♥❛❧②sts
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸✽ ✴ ✹✷
❍❡t❡r♦❣❡♥❡✐t②✿ ❇② ❉❡❝❛❞❡
Return [t −✶,t +✶] (1) Surpriset−✶ x 1980s
- 0.663
(0.419) Surpriset−✶ x 1990s
- 0.912
(0.743) Surpriset−✶ x 2000s
- 0.883∗∗
(0.344) Surpriset−✶ x 2010s
- 0.997∗∗
(0.487) Own surpriseit controls Yes Year-month FE Yes R✷ 0.0839 Observations 75923
❊✛❡❝t str♦♥❣❡r ✐♥ ♠♦r❡ r❡❝❡♥t ②❡❛rs
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸✾ ✴ ✹✷
❍❡t❡r♦❣❡♥❡✐t②✿ ❇② ❉❡❝❛❞❡
Return [t −✶,t +✶] (1) Surpriset−✶ x 1980s
- 0.663
(0.419) Surpriset−✶ x 1990s
- 0.912
(0.743) Surpriset−✶ x 2000s
- 0.883∗∗
(0.344) Surpriset−✶ x 2010s
- 0.997∗∗
(0.487) Own surpriseit controls Yes Year-month FE Yes R✷ 0.0839 Observations 75923
- ❊✛❡❝t str♦♥❣❡r ✐♥ ♠♦r❡
r❡❝❡♥t ②❡❛rs
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✸✾ ✴ ✹✷
❍❡t❡r♦❣❡♥❡✐t②✿ ❉❛② ♦❢ ❲❡❡❦
Baseline sample Year>=2000 (1) (2) (3) (4) Mondays Other Mondays Other Surpriset−✶ 0.0759
- 0.724∗∗∗
- 0.272
- 0.767∗∗∗
(1.147) (0.249) (0.927) (0.289) p-value: Mondays = Other 0.490 0.605 Own surpriseit controls Yes Yes Yes Yes Year-month FE Yes Yes Yes Yes R✷ 0.186 0.0865 0.208 0.0958 Observations 7815 68108 3926 41317 ❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✹✵ ✴ ✹✷
■♥❞✉str② ♠❛t❝❤
Full sample Small firms Large firms (1) (2) (3) (4) (5) (6) (7) Surpriset−✶ same ind
- 0.418∗∗
- 0.334∗∗∗
- 0.417∗∗
- 0.565∗∗
- 0.662∗∗∗
- 0.417∗∗
- 0.417∗∗
(0.168) (0.122) (0.178) (0.226) (0.236) (0.173) (0.183) Surpriset−✶ dif ind
- 0.425∗∗
- 0.0365
- 0.180
- 0.151
- 0.0545
- 0.436∗∗
- 0.189
(0.178) (0.117) (0.197) (0.224) (0.290) (0.183) (0.202) Both surpriset−✶ non-missing No No Yes No Yes No Yes Regression weights Value Equal Value Value Value Value Value p-value: same=dif 0.978 0.112 0.386 0.232 0.129 0.944 0.421 Own surpriseit controls Yes Yes Yes Yes Yes Yes Yes Year-month FE Yes Yes Yes Yes Yes Yes Yes R✷ 0.0840 0.0749 0.0879 0.0974 0.104 0.0854 0.0896 Observations 75923 75923 49300 33861 20829 42062 28471
- ❈♦♥tr❛st ❡✛❡❝ts ❢♦r ❧❛r❣❡ ✜r♠s ❝❛♥ ♦♣❡r❛t❡ ❛❝r♦ss ✐♥❞✉str✐❡s✱ ❜✉t ♦♥❧②
✇❤❡♥ ❛ s❛♠❡ ✐♥❞✉str② ❝♦♠♣❛r✐s♦♥ ✐s ✉♥❛✈❛✐❧❛❜❧❡
- ❈♦♥tr❛st ❡✛❡❝ts ❢♦r s♠❛❧❧ ✜r♠s ♦♣❡r❛t❡ ♣r✐♠❛r✐❧② ✇✐t❤✐♥ ✐♥❞✉str②
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✹✶ ✴ ✹✷
■♥❞✉str② ♠❛t❝❤
Full sample Small firms Large firms (1) (2) (3) (4) (5) (6) (7) Surpriset−✶ same ind
- 0.418∗∗
- 0.334∗∗∗
- 0.417∗∗
- 0.565∗∗
- 0.662∗∗∗
- 0.417∗∗
- 0.417∗∗
(0.168) (0.122) (0.178) (0.226) (0.236) (0.173) (0.183) Surpriset−✶ dif ind
- 0.425∗∗
- 0.0365
- 0.180
- 0.151
- 0.0545
- 0.436∗∗
- 0.189
(0.178) (0.117) (0.197) (0.224) (0.290) (0.183) (0.202) Both surpriset−✶ non-missing No No Yes No Yes No Yes Regression weights Value Equal Value Value Value Value Value p-value: same=dif 0.978 0.112 0.386 0.232 0.129 0.944 0.421 Own surpriseit controls Yes Yes Yes Yes Yes Yes Yes Year-month FE Yes Yes Yes Yes Yes Yes Yes R✷ 0.0840 0.0749 0.0879 0.0974 0.104 0.0854 0.0896 Observations 75923 75923 49300 33861 20829 42062 28471
- ❈♦♥tr❛st ❡✛❡❝ts ❢♦r ❧❛r❣❡ ✜r♠s ❝❛♥ ♦♣❡r❛t❡ ❛❝r♦ss ✐♥❞✉str✐❡s✱ ❜✉t ♦♥❧②
✇❤❡♥ ❛ s❛♠❡ ✐♥❞✉str② ❝♦♠♣❛r✐s♦♥ ✐s ✉♥❛✈❛✐❧❛❜❧❡
- ❈♦♥tr❛st ❡✛❡❝ts ❢♦r s♠❛❧❧ ✜r♠s ♦♣❡r❛t❡ ♣r✐♠❛r✐❧② ✇✐t❤✐♥ ✐♥❞✉str②
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✹✶ ✴ ✹✷
■♥❞✉str② ♠❛t❝❤
Full sample Small firms Large firms (1) (2) (3) (4) (5) (6) (7) Surpriset−✶ same ind
- 0.418∗∗
- 0.334∗∗∗
- 0.417∗∗
- 0.565∗∗
- 0.662∗∗∗
- 0.417∗∗
- 0.417∗∗
(0.168) (0.122) (0.178) (0.226) (0.236) (0.173) (0.183) Surpriset−✶ dif ind
- 0.425∗∗
- 0.0365
- 0.180
- 0.151
- 0.0545
- 0.436∗∗
- 0.189
(0.178) (0.117) (0.197) (0.224) (0.290) (0.183) (0.202) Both surpriset−✶ non-missing No No Yes No Yes No Yes Regression weights Value Equal Value Value Value Value Value p-value: same=dif 0.978 0.112 0.386 0.232 0.129 0.944 0.421 Own surpriseit controls Yes Yes Yes Yes Yes Yes Yes Year-month FE Yes Yes Yes Yes Yes Yes Yes R✷ 0.0840 0.0749 0.0879 0.0974 0.104 0.0854 0.0896 Observations 75923 75923 49300 33861 20829 42062 28471
- ❈♦♥tr❛st ❡✛❡❝ts ❢♦r ❧❛r❣❡ ✜r♠s ❝❛♥ ♦♣❡r❛t❡ ❛❝r♦ss ✐♥❞✉str✐❡s✱ ❜✉t ♦♥❧②
✇❤❡♥ ❛ s❛♠❡ ✐♥❞✉str② ❝♦♠♣❛r✐s♦♥ ✐s ✉♥❛✈❛✐❧❛❜❧❡
- ❈♦♥tr❛st ❡✛❡❝ts ❢♦r s♠❛❧❧ ✜r♠s ♦♣❡r❛t❡ ♣r✐♠❛r✐❧② ✇✐t❤✐♥ ✐♥❞✉str②
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✹✶ ✴ ✹✷
❈♦♥❝❧✉s✐♦♥
❙❤♦✇ t❤❛t ❝♦♥tr❛st ❡✛❡❝ts ❛r❡ r♦❜✉st ♦✉ts✐❞❡ ♦❢ t❤❡ ❧❛❜✱ ✐♥ ❛ s❡tt✐♥❣ ✇✐t❤ ♠❛r❦❡t ♣r✐❝❡s s❡t ❜② ♣r♦❢❡ss✐♦♥❛❧s ❢❛❝✐♥❣ ❤✐❣❤ st❛❦❡s ▼❛② ♣r♦✈✐❞❡ ♣s②❝❤♦❧♦❣✐❝❛❧ ❜❛s✐s ❢♦r ♣r❡❢❡r❡♥❝❡s s✉❝❤ ❛s ✐♥t❡r♥❛❧ ❤❛❜✐ts
- ❱❛❧✉❡ ❣❛✐♥s ✐♥ ❝♦♥s✉♠♣t✐♦♥ r❡❧❛t✐✈❡ t♦ ♣r❡✈✐♦✉s ❡①♣❡r✐❡♥❝❡
▲❛❝❦ ♦❢ r❡t✉r♥ r❡❛❝t✐♦♥ ♦♥ t −✶ s❤♦✇s t❤❛t ❝♦♥tr❛st ❡✛❡❝ts ✐s ❛♥ ❡rr♦r ✐♥ ♣❡r❝❡♣t✐♦♥s r❛t❤❡r t❤❛♥ ❛♥ ❡rr♦r ✐♥ ❡①♣❡❝t❛t✐♦♥s ❋♦r ✐❞❡♥t✐✜❝❛t✐♦♥✱ ✇❡ ♣✐❝❦❡❞ ❛ s❡tt✐♥❣ ✇✐t❤ ♣r❡✲s❝❤❡❞✉❧❡❞ ♥❡✇s r❡❧❡❛s❡s
- ❋✐r♠s ♠❛② t❛❦❡ ❛❞✈❛♥t❛❣❡ ♦❢ ❝♦♥tr❛st ❡✛❡❝ts t♦ r❡❧❡❛s❡ ❜❛❞ ♥❡✇s
✐♠♠❡❞✐❛t❡❧② ❛❢t❡r ♦t❤❡r ✜r♠s r❡❧❡❛s❡ ❜❛❞ ♥❡✇s
❍❛rt③♠❛r❦ ❛♥❞ ❙❤✉❡ ❈♦♥tr❛st ❊✛❡❝ts ✐♥ ❋✐♥❛♥❝✐❛❧ ▼❛r❦❡ts ✹✷ ✴ ✹✷